{ "Contributors": [ "Siddhartha Mishra" ], "Source": [ "mathqa" ], "URL": [ "https://math-qa.github.io/math-QA/" ], "Categories": [ "Question Answering" ], "Reasoning": [ "Quantitative Reasoning", "Numerical Reasoning", "Mathematics -> Geometry" ], "Definition": [ "In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'." ], "Input_language": [ "English" ], "Output_language": [ "English" ], "Instruction_language": [ "English" ], "Domains": [ "Mathematics" ], "Positive Examples": [ { "input": "Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? \nOptions: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92", "explanation": "\"Based on the pythagorean theorem, the triangle with sides 20 cm, 12 cm and 16 cm is right angled, where the hypotenuse is 20 cm. area of the triangle = 1 / 2 * 12 * 16 = 96 cm 2 answer : option d\"", "output": "d" }, { "input": "Problem: find the perimeter and area of a square of side 13 cm . \nOptions: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']", "explanation": "We know that the perimeter of square = 4 ã — side side = 13 cm therefore, perimeter = 4 ã — 13 cm = 52 cm now, area of the square = ( side ã — side ) sq. units = 13 ã — 13 cm â ² = 169 cm â ² answer : c", "output": "c" } ], "Negative Examples": [ { "input": "Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? \nOptions: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches", "explanation": "\"if the width is 6 in and the length is 3 times the width, then the length is 3 * 6 = 18 in the area is given by 6 * 18 = 108 square inches correct answer b\". Hence, option a is incorrect.", "output": "a" }, { "input": "Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? \nOptions: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these", "explanation": "\"area of sector, a = x / 360 * pi * r ^ 2 circumference of the sector = 10 = > x / 360 * 2 * pi * r + 2 r = 20 = > 2 a / r + 2 r = 10 or 2 a + 2 r ^ 2 = 10 r = > a = r 5 - r ^ 2 = r 5 - r ^ 2 we will now max using derivations i . e 5 - 2 r = 0 r = 5 / 2 a\". Hence, option c is incorrect.", "output": "c" } ], "Instances": [ { "id": "task1423-b81fa81b28c54ccd8da5c9a35fef6545", "input": "Problem: a goat is tied to one corner of a square plot of side 12 m by a rope 7 m long . find the area it can graze ? \nOptions: ['a ) 32', 'b ) 36.5', 'c ) 38.5', 'd ) 39', 'e ) 39.5']", "output": [ "c" ] }, { "id": "task1423-4b0a62744f294b84bacf831845af3c52", "input": "Problem: the radius of a circle is increased by 1 % . find how much % does its area increases ? \nOptions: ['a ) 2.21 %', 'b ) 2.07 %', 'c ) 2.08 %', 'd ) 2.01 %', 'e ) 2.11 %']", "output": [ "d" ] }, { "id": "task1423-02114b317bf34a9f96dfca598a7f1590", "input": "Problem: a 12 by 16 rectangle is inscribed in circle . what is the circumference of the circle ? \nOptions: a ) 5 π , b ) 10 π , c ) 15 π , d ) 20 π , e ) 30 π", "output": [ "d" ] }, { "id": "task1423-09bf70e51f4140ffacb34ad26ff39fbb", "input": "Problem: if radius of a circle is diminished by 10 % then its area is diminished by \nOptions: ['a ) 22', 'b ) 19', 'c ) 877', 'd ) 26', 'e ) 271']", "output": [ "b" ] }, { "id": "task1423-a9ba7a31402e4d24a9cb8fa9fd999d1f", "input": "Problem: if y is the smallest positive integer such that 8820 multiplied by y is the square of an integer , then y must be \nOptions: a ) 2 , b ) 5 , c ) 6 , d ) 7 , e ) 14", "output": [ "b" ] }, { "id": "task1423-72a45ab217a94bb4bd0d4a0b3a2b4f37", "input": "Problem: the slant height of a cone is 15 cm and radius of the base is 3 cm , find the curved surface of the cone ? \nOptions: a ) 26 , b ) 134 , c ) 141 , d ) 190 , e ) 28", "output": [ "c" ] }, { "id": "task1423-80235cf12efd49208e61baf39a0aca12", "input": "Problem: what is the area of square field whose side of length 18 m ? \nOptions: a ) 225 sq m , b ) 186 sq m , c ) 586 sq m , d ) 324 sq m , e ) 296 sq m", "output": [ "d" ] }, { "id": "task1423-c339469cee184751a946979e20904242", "input": "Problem: the weight of a hollow sphere is directly dependent on its surface area . the surface area of a sphere is 4 π · r ^ 2 , where r is the radius of the sphere . if a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams , a hollow sphere of radius 0.3 cm made of the same metal would weigh how many grams t ? \nOptions: a ) t = 16 , b ) t = 32 , c ) t = 64 , d ) 128 , e ) 512", "output": [ "b" ] }, { "id": "task1423-0610207acac14344a2811aed5ed7f3d6", "input": "Problem: find the area of a parallelogram with base 28 cm and height 32 cm . \nOptions: a ) 200 , b ) 384 , c ) 345 , d ) 244 , e ) 896", "output": [ "e" ] }, { "id": "task1423-ac9f91bcc470450499f14874a894b884", "input": "Problem: the height of two right circular cones are in the ratio 1 : 2 and their perimeters of their bases are in the ratio 3 : 4 , the ratio of their volume is ? \nOptions: ['a ) 9 : 38', 'b ) 9 : 31', 'c ) 9 : 32', 'd ) 9 : 39', 'e ) 9 : 35']", "output": [ "c" ] }, { "id": "task1423-357f9f79d770443db45efc97a9c5f0fb", "input": "Problem: 2 corner most boxes of a chess board ( diagonally opposite ) haven been cut out there ' s a rectangular block = 2 sqaures of chess board , how many such blocks can be placed on the chess board ? ” \nOptions: a ) 27 , b ) 28 , c ) 29 , d ) 30 , e ) 31", "output": [ "d" ] }, { "id": "task1423-9e1f883ae1e54947b0ef9ece226b989f", "input": "Problem: in the rectangular coordinate system , points ( 4 , 0 ) and ( – 4 , 0 ) both lie on circle c . what is the maximum possible value of the radius of c \nOptions: a ) 2 , b ) 4 , c ) 8 , d ) 16 , e ) none of the above", "output": [ "b" ] }, { "id": "task1423-cbfeaece3d4e4eeea647d3a6b9780c88", "input": "Problem: square a has an area of 81 square centimeters . square b has a perimeter of 32 centimeters . if square b is placed within square a and a random point is chosen within square a , what is the probability the point is not within square b ? \nOptions: ['a ) 17 / 64', 'b ) 17 / 81', 'c ) 16 / 25', 'd ) 3 / 5', 'e ) 6 / 25']", "output": [ "b" ] }, { "id": "task1423-d64590f26d604c2fb94892a908a710b7", "input": "Problem: right triangle abc is the base of the prism in the figure above . if ab = ac = â ˆ š 10 and the height of the prism is 4 , what is the volume of the prism ? \nOptions: a ) 40 , b ) 85 , c ) 20 , d ) 60 , e ) 45", "output": [ "c" ] }, { "id": "task1423-8f1a9ca48e10428a9f30b14c39095782", "input": "Problem: there are 6 equally spaced points a , b , c , d , e and f marked on a circle with radius r . how many convex pentagons of distinctly different areas can be drawn using these points as vertices ? \nOptions: ['a ) 6 p 5', 'b ) 1', 'c ) 5', 'd ) none of these', 'e ) can not be determined']", "output": [ "d" ] }, { "id": "task1423-8b280f6a3b044d4aaf64a738cfa0f793", "input": "Problem: a gardener grows cabbages in her garden that is in the shape of a square . each cabbage takes 1 square feet of area in her garden . this year , she has increased her output by 191 cabbages as compared to last year . the shape of the area used for growing the cabbages has remained a square in both these years . how many cabbages did she produce this year ? \nOptions: a ) 7,251 , b ) 8406 , c ) 9216 , d ) 10,348 , e ) can not be determined", "output": [ "c" ] }, { "id": "task1423-5496689c5fab4e4488a8598757b6233a", "input": "Problem: the radius of a cylindrical vessel is 7 cm and height is 3 cm . find the whole surface of the cylinder ? \nOptions: ['a ) 520 sq cm', 'b ) 840 sq cm', 'c ) 440 sq cm', 'd ) 120 sq cm', 'e ) 5 sq cm']", "output": [ "c" ] }, { "id": "task1423-5e9fe75c449c40b7a1e5417ce496737a", "input": "Problem: a cube is painted red on all faces . it is then cut into 27 equal smaller cubes . how many p cubes are painted on only 2 faces ? \nOptions: a ) 12 , b ) 8 , c ) 6 , d ) 10 , e ) 16", "output": [ "a" ] }, { "id": "task1423-793403dcb2ed48a999b5bf8e861a6af0", "input": "Problem: find the perimeter and area of the rectangle of length 15 cm and breadth 11 cm . \nOptions: a ) 71 cm 2 , b ) 121 cm 2 , c ) 165 cm 2 , d ) 171 cm 2 , e ) 221 cm 2", "output": [ "c" ] }, { "id": "task1423-10e951b6457441e38f9ef5dc2c567684", "input": "Problem: the diagonals of a rhombus are 12 cm and 15 cm . find its area ? \nOptions: a ) 30 , b ) 45 , c ) 90 , d ) 120 , e ) 180", "output": [ "c" ] }, { "id": "task1423-79ce021397664bb5a3bf27e4ba907e69", "input": "Problem: if the side length of square b is three times that of square a , the area of square b is how many times the area of square a ? \nOptions: a ) 9 , b ) 8 , c ) 6 , d ) 3 , e ) 2", "output": [ "a" ] }, { "id": "task1423-b2b684a258e147e3a420c195b3acf6e1", "input": "Problem: we need to carve out 125 identical cubes from a cube . what is the minimum number of cuts needed ? \nOptions: ['a ) 8', 'b ) 9', 'c ) 10', 'd ) 11', 'e ) 12']", "output": [ "e" ] }, { "id": "task1423-47a3e85ca46948d28166fddd7e4ccb76", "input": "Problem: a rectangular room has the rectangular shaped rug shown as above figure such that the rug ’ s area is 220 square feet and its length is 12 feet longer than its width . if the uniform width between the rug and room is 12 feet , what is the area of the region uncovered by the rug ( shaded region ) , in square feet ? \nOptions: a ) 32 , b ) 1136 , c ) 40 , d ) 1344 , e ) 104", "output": [ "d" ] }, { "id": "task1423-9424066d8d3842779bf688297060c7d5", "input": "Problem: the width of a rectangular hall is ½ of its length . if the area of the hall is 800 sq . m , what is the difference between its length and breadth ? \nOptions: a ) 8 m , b ) 10 m , c ) 12 m , d ) 20 m , e ) 17 m", "output": [ "d" ] }, { "id": "task1423-c8923d8074024a69b4a4cc58610e5048", "input": "Problem: a rectangular grass field is 75 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 5 per sq m ? \nOptions: a ) 675 , rs . 3375 , b ) 575 , rs . 1350 , c ) 1350 , rs . 675 , d ) 1450 , rs . 775 , e ) 1550 , rs . 875", "output": [ "a" ] }, { "id": "task1423-e2a2d525b9974bffbba65b241a9a0e60", "input": "Problem: the ratio of the radius of two circles is 2 : 5 , and then the ratio of their areas is ? \nOptions: a ) 4 : 25 , b ) 2 : 9 , c ) 1 : 9 , d ) 3 : 7 , e ) 3 : 4", "output": [ "a" ] }, { "id": "task1423-7f0b4eeb65f3425d85d6bda4efb8be09", "input": "Problem: the length of a rectangle is two - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 2500 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ? \nOptions: a ) 140 , b ) 150 , c ) 160 , d ) 170 , e ) 200", "output": [ "e" ] }, { "id": "task1423-aa68a17b44e6428285fb0325ab61293d", "input": "Problem: find the area of the quadrilateral of one of its diagonals is 15 cm and its off sets 6 cm and 4 cm ? \nOptions: a ) 50 cm 2 , b ) 60 cm 2 , c ) 75 cm 2 , d ) 90 cm 2 , e ) 150 cm 2", "output": [ "c" ] }, { "id": "task1423-51c2a434677145ca912f7c020a0b4978", "input": "Problem: right triangle pqr is the base of the prism in the figure above . if pq = pr = â ˆ š 14 and the height of the prism is 8 , what is the volume of the prism ? \nOptions: a ) 12 , b ) 45 , c ) 87 , d ) 56 , e ) 23", "output": [ "d" ] }, { "id": "task1423-f10d573e807446e1bab20a157fa77dbf", "input": "Problem: the length of a rectangular plot is thrice its width . if the area of the rectangular plot is 507 sq meters , then what is the width ( in meters ) of the rectangular plot ? \nOptions: a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15", "output": [ "c" ] }, { "id": "task1423-c47859e1fbbc4e48b38570af02f7916c", "input": "Problem: square a has an area of 65 square centimeters . square b has a perimeter of 16 centimeters . if square b is placed within square a and a random point is chosen within square a , what is the probability the point is not within square b ? \nOptions: a ) 0.25 , b ) 0.5 , c ) 0.75 , d ) 0.1 , e ) 0.3", "output": [ "c" ] }, { "id": "task1423-aedcc2097b2a40b59f48cffb7ccff570", "input": "Problem: if a rectangular billboard has an area of 104 square feet and a perimeter of 42 feet , what is the length of each of the shorter sides ? \nOptions: ['a ) 4', 'b ) 7', 'c ) 8', 'd ) 13', 'e ) 26']", "output": [ "c" ] }, { "id": "task1423-c7dfe5c677354a35ab758fa8eb298bc0", "input": "Problem: the ratio of the radius of two circles is 1 : 9 , and then the ratio of their areas is ? \nOptions: a ) 1 : 8 , b ) 1 : 6 , c ) 1 : 9 , d ) 1 : 3 , e ) 1 : 81", "output": [ "e" ] }, { "id": "task1423-7a712b5a25e5491ca3b078d080203c11", "input": "Problem: a right circular cone is exactly fitted inside a cube in such away that the edges of the base of the cone are touching the edges of one of the faces of the cube and the vertex is on the opposite face of the cube . if the volume of the cube is 343 cc , what approximately is the volume of the cone ? \nOptions: ['a ) 80 cc', 'b ) 90 cc', 'c ) 110 cc', 'd ) 105 cc', 'e ) 100 cc']", "output": [ "b" ] }, { "id": "task1423-5ca63b72a67446b182a9e42ccc2b6dc0", "input": "Problem: if the areas of the three adjacent faces of a cuboidal box are 120 cm ² , 72 cm ² and 60 cm ² respectively , then find the volume of the box . \nOptions: ['a ) 120 m ³', 'b ) 400 m ³', 'c ) 660 m ³', 'd ) 720 cm m ³', 'e ) none']", "output": [ "d" ] }, { "id": "task1423-7d34c0a79747426eadd21c9feafa7acb", "input": "Problem: what is the area of a square field whose diagonal of length 22 m ? \nOptions: a ) 300 sq m , b ) 220 sq m , c ) 200 sq m , d ) 400 sq m , e ) 800 sq m", "output": [ "b" ] }, { "id": "task1423-bc089d09b1734ad6bf3e77ff7d4ede98", "input": "Problem: a volume of 10936 l water is in a container of sphere . how many hemisphere of volume 4 l each will be required to transfer all the water into the small hemispheres ? \nOptions: ['a ) 2812', 'b ) 8231', 'c ) 2734', 'd ) 4222', 'e ) 4254']", "output": [ "c" ] }, { "id": "task1423-6c0dc5ff59f149fb846ca308c06efa87", "input": "Problem: how much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 19 inches than that of a rectangular sheet of paper measuring 9.5 inches by 11 inches ? \nOptions: a ) 50 % , b ) 87 % , c ) 100 % , d ) 187 % , e ) 200 %", "output": [ "c" ] }, { "id": "task1423-7089ca258765431c99f4044995479e9a", "input": "Problem: what is the area of a square field whose diagonal of length 16 m ? \nOptions: a ) 128 , b ) 289 , c ) 200 , d ) 112 , e ) 178", "output": [ "a" ] }, { "id": "task1423-215374c44a374cb2895a4d9b8a98a11a", "input": "Problem: one side of a rectangular field is 4 m and its length along diagonal is 5 m . what is the area of the field ? \nOptions: a ) 12 , b ) 27 , c ) 98 , d ) 27 , e ) 29", "output": [ "a" ] }, { "id": "task1423-14b6152cfc834db6a140151e369c7eab", "input": "Problem: the parameter of a square is equal to the perimeter of a rectangle of length 36 cm and breadth 20 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) ? \nOptions: a ) 23.56 , b ) 23.59 , c ) 44.0 , d ) 23.53 , e ) 23.57", "output": [ "c" ] }, { "id": "task1423-efbcfc9fe06c4dd8808b5432de5867c5", "input": "Problem: if two sides of a triangle are 6 and 13 , respectively , which of the following could not be the area of this triangle ? \nOptions: ['a ) 40', 'b ) 6', 'c ) 17', 'd ) 29', 'e ) 38']", "output": [ "a" ] }, { "id": "task1423-7764d9fb399f4789acf29ec7df9e05ad", "input": "Problem: what is the ratio between perimeters of two squares one having 5 times the diagonal then the other ? \nOptions: a ) 5 : 1 , b ) 3 : 1 , c ) 5 : 8 , d ) 3 : 2 , e ) 8 : 3", "output": [ "a" ] }, { "id": "task1423-a94fcf6c07ee4d1db524938efc9b7b9a", "input": "Problem: two cubes of tire sides ratio 2 : 3 . find its cube volumes ratio ? \nOptions: ['a ) 2 : 27', 'b ) 3 : 27', 'c ) 1 : 27', 'd ) 8 : 27', 'e ) 5 : 27']", "output": [ "d" ] }, { "id": "task1423-b0621f710afc4cfab54ee20c208bf238", "input": "Problem: the ratio of the volumes of two cubes is 1331 : 2197 . what is the ratio of their total surface areas ? \nOptions: a ) 121 : 169 , b ) 169 : 122 , c ) 81 : 124 , d ) 81 : 126 , e ) 81 : 129", "output": [ "a" ] }, { "id": "task1423-a49e5c79e9284c88970832b23bba1cb3", "input": "Problem: the area of a square is equal to twice the area of a rectangle of dimensions 32 cm * 64 cm . what is the perimeter of the square ? \nOptions: ['a ) 236', 'b ) 256', 'c ) 456', 'd ) 656', 'e ) 756']", "output": [ "b" ] }, { "id": "task1423-f6aa4af832894644b8263beb8671fb3a", "input": "Problem: 12 points lie on a circle . how many cyclic quadrilaterals can be drawn by using these points ? \nOptions: ['a ) 334', 'b ) 377', 'c ) 495', 'd ) 766', 'e ) 261']", "output": [ "c" ] }, { "id": "task1423-be795f380b484532997d15df3c556e77", "input": "Problem: find the perimeter and area of the rectangle of length 15 cm and breadth 13 cm . \nOptions: a ) 71 cm 2 , b ) 121 cm 2 , c ) 141 cm 2 , d ) 195 cm 2 , e ) 221 cm 2", "output": [ "d" ] }, { "id": "task1423-13d488acbbf142f1b2fd6a6270cb4697", "input": "Problem: the mass of 1 cubic meter of a substance is 700 kilograms under certain conditions . what is the volume , in cubic centimeters , of 1 gram of this substance under these conditions ? ( 1 kilogram = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters ) \nOptions: a ) 0.8 , b ) 1.42 , c ) 8.0 , d ) 12.5 , e ) 80.0", "output": [ "b" ] }, { "id": "task1423-0b91e19add4f4bda95dbb0a8ff236245", "input": "Problem: the ratio of males to females in a class is 2 : 3 . the career preferences of the students in the class are represented in a circle graph . if the area of the graph allocated to each career preference is proportional to the number of students who have that career preference , how many degrees of the circle should be used to represent a career that is preferred by two - thirds of the males and one - third of the females in the class ? \nOptions: a ) 160 , b ) 168 , c ) 191 , d ) 192 , e ) 204", "output": [ "b" ] }, { "id": "task1423-44a332f4016940f1be37e8566b97eb9f", "input": "Problem: if a rectangular billboard has an area of 120 square feet and a perimeter of 46 feet , what is the length of each of the shorter sides ? \nOptions: a ) 4 , b ) 7 , c ) 8 , d ) 13 , e ) 26", "output": [ "c" ] }, { "id": "task1423-1575bd5b29284d2aa972bf32719f2254", "input": "Problem: the area of a square is equal to nine times the area of a rectangle of dimensions 121 cm * 144 cm . what is the perimeter of the square ? \nOptions: a ) 1500 cm , b ) 1800 cm , c ) 1584 cm , d ) 1718 cm , e ) 1086 cm", "output": [ "c" ] }, { "id": "task1423-dcbb45ef5c734e00b6622ae3fa8d22d4", "input": "Problem: if the area of a circle is 25 pi square feet , find its circumference . \nOptions: a ) 10 pi feet , b ) 28 pi feet , c ) 38 pi feet , d ) 48 pi feet , e ) 58 pi feet", "output": [ "a" ] }, { "id": "task1423-d4b6c724836a4b57b1eda2d9a5a366cb", "input": "Problem: the area of a square is equal to four times the area of a rectangle of dimensions 52 cm * 13 cm . what is the perimeter of the square ? \nOptions: a ) 200 , b ) 208 , c ) 210 , d ) 220 , e ) 228", "output": [ "b" ] }, { "id": "task1423-3d6360ca5b5b437d818f5251827f4234", "input": "Problem: a cylindrical can has a radius of 4 centimeters and a height of 24 centimeters . what is the area , in square centimeters , of a rectangular label that completely covers the curved surface of the can without over - lapping ? \nOptions: a ) 16 pi , b ) 64 pi , c ) 96 pi , d ) 192 pi , e ) 576 pi", "output": [ "d" ] }, { "id": "task1423-a00b2a0933b74b2ab01eeb753d367d60", "input": "Problem: what is the smallest positive perfect square that is divisible by 12 , 14 , and 42 ? \nOptions: a ) 900 , b ) 1089 , c ) 1600 , d ) 1764 , e ) 2025", "output": [ "d" ] }, { "id": "task1423-b7ee683a57b84cada6c8ffff8c5b62e8", "input": "Problem: calculate the area of a triangle , if the sides are 30 cm , 21 cm and 10 cm , what is its area ? \nOptions: a ) 145 cm 2 , b ) 105 cm 2 , c ) 125 cm 2 , d ) 115 cm 2 , e ) 135 cm 2", "output": [ "b" ] }, { "id": "task1423-510caa0d16f74f21baaabd49668cbe88", "input": "Problem: carmen made a sculpture from small pieces of wood . the sculpture is 2 feet 10 inches tall . carmen places her sculpture on a base that is 8 inches tall . how tall are the sculpture andbase together ? \nOptions: a ) 3.1 feet , b ) 3.2 feet , c ) 3.3 feet , d ) 3.4 feet , e ) 3.5 feet", "output": [ "e" ] }, { "id": "task1423-82cd6aa880e847f4aff4e9efe3de9ab3", "input": "Problem: a small , rectangular park has a perimeter of 560 feet and a diagonal measurement of 300 feet . what is its area , in square feet ? \nOptions: a ) 43,200 , b ) 19,600 , c ) 20,000 , d ) 20,400 , e ) 20,800", "output": [ "a" ] }, { "id": "task1423-b8a413d3a19a48c1a0161eb89d23c4e0", "input": "Problem: a sporting good store sells one type of baseball bat and one type of baseball . the cost for 2 bats and 4 balls is $ 200 . the cost for 1 bat and 6 balls is $ 220 , as well . if someone were to buy an equal number of bats and balls , at most how many bats can he purchase if he has a budget of $ 210 for the purchase ? \nOptions: ['a ) 1', 'b ) 2', 'c ) 3', 'd ) 4', 'e ) 5']", "output": [ "c" ] }, { "id": "task1423-ee04b6f3d50848b7b2af48cc43598360", "input": "Problem: a circular ground whose diameter is 35 metres , has a 1.4 metre - broad garden around it . what is the area of the garden in square metres ? \nOptions: a ) 160.16 , b ) 6.16 , c ) 122.66 , d ) data inadequate , e ) none of these", "output": [ "a" ] }, { "id": "task1423-2538a81cf348407286dfa3978b663ee5", "input": "Problem: consider a right circular cone of base radius 4 and height 10 cm . a cylinder is to be placed inside the cone with one of the flat surface resting on the base of the cone . find the largest possible total surface area ( in sq cm ) of the cylinder . \nOptions: ['a ) 100 π / 3', 'b ) 80 π / 3', 'c ) 120 π / 7', 'd ) 130 π / 9', 'e ) 110 π / 7']", "output": [ "a" ] }, { "id": "task1423-9f380f84f51e441a9bc6df8aa2cf336e", "input": "Problem: in the xy - plane , a triangle has vertices ( 0,0 ) , ( 4,0 ) and ( 4,6 ) . if a point ( a , b ) is selected at random from the triangular region , what is the probability that a - b > 0 ? \nOptions: a ) 1 / 5 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 4 / 5", "output": [ "d" ] }, { "id": "task1423-791e1b2567b24d67b7d281d5fdff9020", "input": "Problem: the length of a rectangular field is 7 / 5 its width . if the perimeter of the field is 336 meters , what is the width of the field ? \nOptions: a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 90", "output": [ "c" ] }, { "id": "task1423-c175a3909b824273a70af72d5661d58d", "input": "Problem: a white paper 2 inches wide is placed around a rectangular black paper with dimensions 8 inches by 12 inches . what is the area of the white paper , in square inches ? \nOptions: ['a ) 96', 'b ) 196', 'c ) 128', 'd ) 144', 'e ) 168']", "output": [ "b" ] }, { "id": "task1423-b83bee63ec3a4255b3adea891289c0e8", "input": "Problem: the cube root of what integer power of 2 is closest to 50 ? \nOptions: a ) 16 , b ) 17 , c ) 18 , d ) 19 , e ) 20", "output": [ "b" ] }, { "id": "task1423-112d7aa7353740f58d7396f5861fc1da", "input": "Problem: the ratio of the areas of two squares , one having double its diagonal then the other is : \nOptions: ['a ) 2 : 1', 'b ) 1 : 2', 'c ) 2 : 3', 'd ) 1 : 4', 'e ) 4 : 1']", "output": [ "e" ] }, { "id": "task1423-880d71a1776c44a5affed5a317eb8224", "input": "Problem: the area of a square is equal to three times the area of a rectangle of dimensions 15 cm * 5 cm . what is the perimeter of the square ? \nOptions: a ) 30 , b ) 80 , c ) 50 , d ) 60 , e ) 70", "output": [ "d" ] }, { "id": "task1423-eadffe98997d4b51a439d3495b8d3b51", "input": "Problem: a metallic sheet is of rectangular shape with dimensions 50 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m 3 ) is : \nOptions: a ) 5440 , b ) 5120 , c ) 6420 , d ) 7500 , e ) 8960", "output": [ "a" ] }, { "id": "task1423-47cc63b18c394e43bad475e9d9b7b645", "input": "Problem: the volume of a rectangular swimming pool is 840 cubic meters and water is flowing into the swimming pool . if the surface level of the water is rising at the rate of 0.5 meters per minute , what is the rate t , in cubic meters per minutes , at which the water is flowing into the swimming pool ? \nOptions: a ) 0.125 , b ) 0.25 , c ) 0.5 , d ) 0.75 , e ) not enough information to determine the rate", "output": [ "e" ] }, { "id": "task1423-07d75f0c27bf45ce91b7b2d0d6506be9", "input": "Problem: find the area of the quadrilateral of one of its diagonals is 40 cm and its off sets 9 cm and 6 cm ? \nOptions: ['a ) 189 cm 2', 'b ) 300 cm 2', 'c ) 127 cm 2', 'd ) 177 cm 2', 'e ) 187 cm 2']", "output": [ "b" ] }, { "id": "task1423-e917912e3e4747c8846b67d1c30ab56d", "input": "Problem: if the complement of a certain angle is 7 times the measure of that certain angle , then what is the measure of that certain angle ? \nOptions: a ) 45 ° , b ) 30 ° , c ) 22.5 ° , d ) 18 ° , e ) 11.25 °", "output": [ "e" ] }, { "id": "task1423-445c42f631394648a8582d80e6817b28", "input": "Problem: find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm ? \nOptions: ['a ) 600', 'b ) 881', 'c ) 767', 'd ) 261', 'e ) 121']", "output": [ "a" ] }, { "id": "task1423-82a89c75be8d4017a113d6274ed7bcaf", "input": "Problem: frank the fencemaker needs to fence in a rectangular yard . he fences in the entire yard , except for one full side of the yard , which equals 40 feet . the yard has an area of 200 square feet . how many feet offence does frank use ? \nOptions: a ) 14 , b ) 47 , c ) 50 , d ) 180 , e ) 240", "output": [ "c" ] }, { "id": "task1423-66161d585cdf417d8010069d618ce3ba", "input": "Problem: a certain rectangular crate measures 20 feet by 20 feet by 20 feet . a cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces . what should the radius of the tank be if it is to be of the largest possible volume ? \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 8 , e ) 10", "output": [ "e" ] }, { "id": "task1423-8085cd1585b641fca76d15586630a097", "input": "Problem: a circle graph shows how the budget of a certain company was spent : 61 percent for salaries , 10 percent for research and development , 6 percent for utilities , 5 percent for equipment , 3 percent for supplies , and the remainder for transportation . if the area of each sector of the graph is proportional to the percent of the budget it represents , how many degrees of the circle are used to represent transportation ? \nOptions: ['a ) 18 °', 'b ) 36 °', 'c ) 54 °', 'd ) 72 °', 'e ) 90 °']", "output": [ "c" ] }, { "id": "task1423-bf3ad4f73ece45f1a5c87a9acc78f21d", "input": "Problem: the ratio of the volumes of two cubes is 729 : 125 . what is the ratio of their total surface areas ? \nOptions: a ) 81 : 21 , b ) 81 : 22 , c ) 81 : 24 , d ) 81 : 25 , e ) 81 : 29", "output": [ "d" ] }, { "id": "task1423-d74431464cad4f6f8cb269c301943074", "input": "Problem: abce is an isosceles trapezoid and acde is a rectangle . ab = 10 and ec = 20 . what is the length of ae . \nOptions: a ) 5 , b ) 10 , c ) 12 , d ) 15 , e ) 20", "output": [ "b" ] }, { "id": "task1423-a8d8ef78243a4a4dbdd66dab13d3a03b", "input": "Problem: a cube has four of its faces painted half red and half white . the other faces are completely painted white . what is the ratio between the red painted areas and the white painted areas of the cube ? \nOptions: a ) 1 : 4 , b ) 1 : 3 , c ) 1 : 2 , d ) 2 : 5 , e ) 2 : 11", "output": [ "c" ] }, { "id": "task1423-81381b4e698e4d138997c5b6d6bf0c8d", "input": "Problem: if length of a rectangle is equal to side of a square and breadth of rectangle is half of length . if area of square is 36 sq . m . calculate the area of rectangle ? \nOptions: ['a ) 18', 'b ) 20', 'c ) 27', 'd ) 32', 'e ) 25']", "output": [ "a" ] }, { "id": "task1423-09143b40af2e4912807c2b427b24895c", "input": "Problem: there is a rectangular prism made of 1 in cubes that has been covered in tin foil . there are exactly 128 cubes that are not touching any tin foil on any of their sides . if the width of the figure created by these 128 cubes is twice the length and twice the height , what is the measure m in inches of the width of the foil covered prism ? \nOptions: a ) 4 , b ) 6 , c ) 8 , d ) 9 , e ) 10", "output": [ "e" ] }, { "id": "task1423-43dab04e491e4d9086f6af182a6cf0f1", "input": "Problem: the cost of the paint is rs . 40.00 per kg . if 1 kg of paint covers 20 sq . ft , how much will it cost to paint outside of a cube having 10 feet each side \nOptions: a ) rs . 1200 , b ) rs . 672 , c ) rs . 546 , d ) rs . 876 , e ) none of these", "output": [ "a" ] }, { "id": "task1423-29fff92e07434072b6a9c4bdfafd7faa", "input": "Problem: a tailor trims 11 feet from opposite edges of a square piece of cloth , and 7 feet from the other two edges . if 84 square feet of cloth remain , what was the length of a side of the original piece of cloth ? \nOptions: a ) 26 , b ) 27 , c ) 28 , d ) 29 , e ) 30", "output": [ "c" ] }, { "id": "task1423-5d5d9235e98f4ea68b26c07aab707cba", "input": "Problem: carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 5 inches by 24 inches and jordan ' s rectangle is 3 inches long , how wide is jordan ' s rectangle , in inches ? \nOptions: a ) 25 , b ) 43 , c ) 42 , d ) 40 , e ) 18", "output": [ "d" ] }, { "id": "task1423-ae6ef262d669418d9732c9ebc43b02db", "input": "Problem: find the area of a parallelogram with base 26 cm and height 14 cm ? \nOptions: a ) 287 cm 2 , b ) 887 cm 2 , c ) 364 cm 2 , d ) 368 cm 2 , e ) 668 cm 2", "output": [ "c" ] }, { "id": "task1423-1981a27ad2a2456480c1afb23d12491e", "input": "Problem: the length of a rectangle is increased by 45 % and its breadth is decreased by 20 % . what is the effect on its area ? \nOptions: a ) 1288 , b ) 1299 , c ) 1000 , d ) 10000 , e ) 11600", "output": [ "e" ] }, { "id": "task1423-dbe1f7679c9b4afa88db579beb9de59b", "input": "Problem: a rectangular field is to be fenced on three sides leaving a side of 8 feet uncovered . if the area of the field is 680 sq . ft , how many feet of fencing will be required ? \nOptions: a ) 244 ft , b ) 88 ft , c ) 122 ft , d ) 178 ft , e ) 66 ft", "output": [ "d" ] }, { "id": "task1423-98054e1dadd2455aa242211f2d9b2ca3", "input": "Problem: a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 440 sq . feet , how many feet of fencing will be required ? \nOptions: a ) 34 , b ) 40 , c ) 64 , d ) 88 , e ) 92", "output": [ "c" ] }, { "id": "task1423-fb8e161346ac483282e0c689db8767c6", "input": "Problem: square of 99 = ? \nOptions: ['a ) 9001', 'b ) 9621', 'c ) 9431', 'd ) 9801', 'e ) 9601']", "output": [ "d" ] }, { "id": "task1423-d00b9879046b437994897e12e97747c0", "input": "Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 4 inches , what is the rectangle ' s area , in square inches ? \nOptions: a ) 30 square inches , b ) 75 square inches , c ) 68 square inches , d ) 48 square inches , e ) 92 square inches", "output": [ "d" ] }, { "id": "task1423-9a8a8ea551984548b0af602db3e28fe0", "input": "Problem: a rectangular photograph is surrounded by a border that is 1 inch wide on each side . the total area of the photograph and the border is m square inches . if the border had been 4 inches wide on each side , the total area would have been ( m + 90 ) square inches . what is the perimeter of the photograph , in inches ? \nOptions: a ) 10 , b ) 20 , c ) 30 , d ) 40 , e ) 50", "output": [ "a" ] }, { "id": "task1423-114ee49537e648f6a5325bdc1061dfe8", "input": "Problem: what is the area of an equilateral triangle whose one side length is 50 ? \nOptions: a ) 225 √ 3 , b ) 325 √ 3 , c ) 425 √ 3 , d ) 525 √ 3 , e ) 625 √ 3", "output": [ "e" ] }, { "id": "task1423-5f73562962e144518f3ddf67de9e3db3", "input": "Problem: an area of a circularplace is 17 hectares . find the cost of fencing it at the rate of rs . 3 permeter approximately . \nOptions: ['a ) rs . 4000', 'b ) rs . 4450', 'c ) rs . 4457', 'd ) rs . 4560', 'e ) rs . 5457']", "output": [ "c" ] }, { "id": "task1423-30640ebe0bd846e28cee06e22104605d", "input": "Problem: if y is the smallest positive integer such that 31,360 multiplied by y is the square of an integer , then y must be \nOptions: a ) 21 , b ) 10 , c ) 61 , d ) 72 , e ) 14", "output": [ "b" ] }, { "id": "task1423-a4be4181d8774cb5ae6567b41d5beb80", "input": "Problem: a volume of 11780 l water is in a container of sphere . how many hemisphere of volume 4 l each will be required to transfer all the water into the small hemispheres ? \nOptions: a ) 2812 , b ) 8231 , c ) 2734 , d ) 4222 , e ) 2945", "output": [ "e" ] }, { "id": "task1423-adcc724f02234799855947b325debd6e", "input": "Problem: the circumferences of two circles are 132 meters and 352 meters . find the difference between the areas of the larger and the smaller circles ? \nOptions: a ) 2996 sq m , b ) 2897 sq m , c ) 4312 sq m , d ) 5768 sq m , e ) 8470 sq m", "output": [ "e" ] }, { "id": "task1423-8c26982623884b018066cd142d852fcb", "input": "Problem: if the area of a circle decreases by 25 % , then the radius of a circle decreases by \nOptions: a ) 13 % , b ) 18 % , c ) 36 % , d ) 64 % , e ) none of these", "output": [ "a" ] }, { "id": "task1423-f10bc72703744e0283abe71ce099fc20", "input": "Problem: in a rectangular coordinate system , what is the area of a triangle whose vertices have the coordinates ( 3 , 0 ) , ( 6 , 3 ) , and ( 6 , - 3 ) ? \nOptions: ['a ) 9', 'b ) 10', 'c ) 11', 'd ) 12', 'e ) 13']", "output": [ "a" ] }, { "id": "task1423-0cf97fed12694a29b5a8a700c6aa506c", "input": "Problem: in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 3.5 ) , ( 9 , 0 ) , ( 0 , - 3.5 ) , ( - 9 , 0 ) ? \nOptions: a ) 63 , b ) 88 , c ) 112 , d ) 116 , e ) 120", "output": [ "a" ] }, { "id": "task1423-718e07e68de0499d913ceac443482df4", "input": "Problem: a cube has a volume of 125 cubic feet . if a similar cube is twice as long , twice as wide , and twice as high , then the volume , in cubic feet of such cube is ? \nOptions: a ) 24 , b ) 48 , c ) 64 , d ) 80 , e ) 1000", "output": [ "e" ] }, { "id": "task1423-47de64f084c949ed90c3d6eccbf368c2", "input": "Problem: the diameter of a circle is 4 / π . find the circumference of the circle . \nOptions: ['a ) 8', 'b ) 4 π', 'c ) 4', 'd ) 6', 'e ) 5']", "output": [ "a" ] }, { "id": "task1423-a2a85a3c732c444ab51b9cb0ec8904cd", "input": "Problem: a rectangular field has a length 10 meters more than it is width . if the area of the field is 200 , what is the length ( in meters ) of the rectangular field ? \nOptions: a ) 20 , b ) 22 , c ) 24 , d ) 26 , e ) 28", "output": [ "a" ] }, { "id": "task1423-2d12291ac2424e209628b066f06d9af7", "input": "Problem: a right triangle aec has to be constructed in the xy - plane so that the right angle is at a and ae is parallel to x axis . the coordinates of a , e and c are integers and satisfy the inequalities - 1 ≤ x ≤ 7 and 1 ≤ y ≤ 7 . how many different triangles can be constructed with these properties ? \nOptions: a ) 63 , b ) 336 , c ) 567 , d ) 3024 , e ) 5040", "output": [ "d" ] }, { "id": "task1423-58e4c444471542408ab547cd5002f1ff", "input": "Problem: two cubes of their volumes in the ratio 64 : 1331 . the ratio of their surface area is : \nOptions: a ) 1.5 : 5 , b ) 2 : 5 , c ) 3 : 5 , d ) 4 : 11 , e ) 4 : 5", "output": [ "d" ] }, { "id": "task1423-a6b70a3e1c8149c19f6fb84f29d44702", "input": "Problem: a cubical block of metal weighs 8 pounds . how much will another cube of the same metal weigh if its sides are twice as long ? \nOptions: a ) 48 , b ) 32 , c ) 24 , d ) 18 , e ) 64", "output": [ "e" ] }, { "id": "task1423-fb23c93730764c70aec28b449613a4b7", "input": "Problem: in a rectangular axis system , what is the area of a parallelogram with the coordinates : ( 2,2 ) , ( 8,2 ) , ( 3,5 ) , ( 9,5 ) ? \nOptions: a ) 18 . , b ) 28 . , c ) 35 . , d ) 49 . , e ) 52 .", "output": [ "a" ] }, { "id": "task1423-b9fa886f634c4bbe9971e0232a8c747d", "input": "Problem: a certain rectangular crate measures 8 feet by 12 feet by 14 feet . a cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces . what should the radius of the tank be if it is to be of the largest possible volume ? \nOptions: a ) 6 , b ) 5 , c ) 6 , d ) 8 , e ) 10", "output": [ "a" ] }, { "id": "task1423-531db7e2e60b47bb873e94e83921b25f", "input": "Problem: the length of a rectangle is reduced by 20 % . by what % would the width have to be increased to maintainthe original area ? \nOptions: a ) 14 % , b ) 15 % , c ) 25 % , d ) 30 % , e ) 35 %", "output": [ "c" ] }, { "id": "task1423-6bbe3e6341ca4189b413c862b6bf08b9", "input": "Problem: the diagonals of a rhombus are 15 cm and 12 cm . find its area ? \nOptions: a ) 70 , b ) 90 , c ) 60 , d ) 80 , e ) 292", "output": [ "b" ] }, { "id": "task1423-b05c33d43cb14a94b43bc640cb015971", "input": "Problem: an equilateral triangle and three squares are combined as shown above , forming a shape of area 48 + 4 √ 3 . what is the perimeter of the shape formed by the triangle and squares ? \nOptions: ['a ) 18', 'b ) 27', 'c ) 36', 'd ) 48', 'e ) 64']", "output": [ "c" ] }, { "id": "task1423-6169d548448c4c8d825d73e2c9c708f1", "input": "Problem: in a certain parallelogram the degree measure of one angle exceeds that of the other by 70 what is the degree measure of the smaller angle ? \nOptions: a ) 55 , b ) 80 , c ) 85 , d ) 90 , e ) 95", "output": [ "a" ] }, { "id": "task1423-68c60c252f1e4badb6c6fc173a60e08f", "input": "Problem: in right triangle abc , ac is the hypotenuse . if ac is 40 and ab + bc = 60 , what is the area of the triangle abc ? \nOptions: a ) 225 , b ) 450 , c ) 25 √ 2 , d ) 500 , e ) 200 √ 2", "output": [ "d" ] }, { "id": "task1423-fca36b08c4a24c7594ab075b4c22ef4f", "input": "Problem: in right triangle abc , ac is the hypotenuse . if ac is 10 and ab + bc = 20 , what is the area of the triangle abc ? \nOptions: a ) 225 , b ) 450 , c ) 75 , d ) 200 , e ) 200 √ 2", "output": [ "c" ] }, { "id": "task1423-a676c94b6f414274b8dc2a3aaae53a23", "input": "Problem: the ratio of the radius of two circles is 1 : 3 , and then the ratio of their areas is ? \nOptions: a ) 1 : 5 , b ) 1 : 6 , c ) 1 : 9 , d ) 1 : 3 , e ) 1 : 2", "output": [ "c" ] }, { "id": "task1423-2f029c22959a439b97b4bc6a296ab7cd", "input": "Problem: a circle and a rectangle have the same perimeter . the sides of the rectangle are 18 cm and 26 cm . what is the area of the circle ? \nOptions: ['a ) 88 cm 2', 'b ) 154 cm 2', 'c ) 1250 cm 2', 'd ) 616 cm 2', 'e ) none of these']", "output": [ "d" ] }, { "id": "task1423-d2efcf5e468748c2ba16655186e62975", "input": "Problem: a rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn . if the area of the lawn is 2109 sq . m , then what is the width of the road ? \nOptions: ['a ) 2', 'b ) 3.5', 'c ) 3', 'd ) 4', 'e ) 5']", "output": [ "c" ] }, { "id": "task1423-d8740274bc074df49d0c26fecfc49ba6", "input": "Problem: chloe has $ 27 dollars to go to the fair . she is bringing 2 other friends along . admission to the fair is $ 3 . each ride costs $ 1.70 . how many rides can she and her friends go on and how much money will be left over ? \nOptions: ['a ) they can go on 15 rides and $ 1.50 will be left over .', 'b ) they can go on 3 rides and $ 2.70 will be left over .', 'c ) they can go on 7 rides and $ 0 will be left over .', 'd ) they can go on 6 rides and $ 0 will be left over .', 'e ) they can go on 5 rides and $ 1.50 will be left over .']", "output": [ "b" ] }, { "id": "task1423-b8ab56eb82b842b0a3689dccf5f89e4a", "input": "Problem: in a rectangular metallic piece of paper that covers exactly the area of a cube . the length of the piece of paper is 48 inches and the width is 72 inches . what is the volume of the cube in cubic feet is 1 feet is 12 inches ? \nOptions: ['a ) a 8', 'b ) b 22', 'c ) c 27', 'd ) d 40', 'e ) e 51']", "output": [ "a" ] }, { "id": "task1423-c9f29340ad11426080f1c8fa31e335c4", "input": "Problem: a hall is 24 meters long and 12 meters wide . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , what is the volume of the hall ( in cubic meters ) ? \nOptions: ['a ) 1896', 'b ) 1912', 'c ) 2108', 'd ) 2304', 'e ) 2524']", "output": [ "d" ] }, { "id": "task1423-d2d5373f24b34c6f9689d1aaaef49735", "input": "Problem: sand is poured into a box so that the box is being filled at the rate of 3 cubic feet per hour . if the empty rectangular box is 5 feet long , 4 feet wide , and 3 feet deep , approximately how many hours does it take to fill the box ? \nOptions: a ) 14 , b ) 16 , c ) 18 , d ) 20 , e ) 22", "output": [ "d" ] }, { "id": "task1423-90b0994ade26404f8e9a75c292900c97", "input": "Problem: a right triangle is inscribed in a circle . the legs of the triangle have lengths 6 and 8 . what is the diameter of the circle ? \nOptions: ['a ) 8', 'b ) 8 π', 'c ) 9 √ 3', 'd ) 10', 'e ) 12']", "output": [ "d" ] }, { "id": "task1423-81a63e79e4da487c8bb15ef0c5f88483", "input": "Problem: a circular plate with a diameter of 10 inches is kept on another plate of 12 inches diameter . what fraction of the big plate ' s surface is not covered by the small plate ? \nOptions: ['a ) 11 / 36', 'b ) 23 / 10', 'c ) 5 / 14', 'd ) 22 / 11', 'e ) 3 / 4']", "output": [ "a" ] }, { "id": "task1423-f3a9be4d6e7e4354b4143f93934ce730", "input": "Problem: a rectangular of certain dimensions is chopped off from one corner of a larger rectangle as shown . ab = 8 cm and bc = 4 cm . the perimeter of the figure abcpqra ( in cm ) is : \nOptions: ['a ) 24', 'b ) 28', 'c ) 36', 'd ) 48', 'e ) none of these']", "output": [ "a" ] }, { "id": "task1423-dee0b73ebf9d41ea9a0e3f9a98075758", "input": "Problem: 20 business executives and 7 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ? \nOptions: a ) 144 , b ) 131 , c ) 330 , d ) 390 , e ) 445", "output": [ "c" ] }, { "id": "task1423-8a653817cc8f4f9e907de681164f1a40", "input": "Problem: the area of a rectangle is 360 sq . m . if its length is increased by 10 m and its width is decreased by 6 m , then its area does not change . find the perimeter of the original rectangle . \nOptions: ['a ) 74 m', 'b ) 75 m', 'c ) 76 m', 'd ) 77 m', 'e ) 78 m']", "output": [ "c" ] }, { "id": "task1423-a7a484cdc78044cb8494d2a8183e7f3a", "input": "Problem: calculate the area of a triangle , if the sides of are 52 cm , 48 cm and 20 cm , what is its area ? \nOptions: a ) 480 cm 2 , b ) 580 cm 2 , c ) 380 cm 2 , d ) 180 cm 2 , e ) 280 cm 2", "output": [ "a" ] }, { "id": "task1423-7f105c1de0124e04afc66e6250b17d6b", "input": "Problem: 34 . the side surface of a cylinder is rolled with a rectangle . if the height of a cylinder is 16 feet and the perimeter of the circular base . is 12 feet , what is the diagonal of the rectangle ? \nOptions: ['a ) 16', 'b ) 20', 'c ) 18', 'd ) 22', 'e ) 21']", "output": [ "b" ] }, { "id": "task1423-b0a125f8d6674c3ba39dbf8fb09564a7", "input": "Problem: a certain farmer pays $ 30 per acre per month to rent farmland . how much does the farmer pay per month to rent a rectangular plot of farmland that is 1080 feet by 605 feet ? ( 43,560 square feet = 1 acre ) \nOptions: a ) $ 5,330 , b ) $ 3,360 , c ) $ 450 , d ) $ 360 , e ) $ 150", "output": [ "c" ] }, { "id": "task1423-29aa5935cca44405a0745fffe991e253", "input": "Problem: the ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 6348 sq cm . what is the ratio of the width and the area of the rectangle ? \nOptions: a ) 1 : 96 , b ) 1 : 99 , c ) 1 : 94 , d ) 1 : 92 , e ) 1 : 91", "output": [ "d" ] }, { "id": "task1423-c8176ead27d74d968f805a4bd3a0c7d5", "input": "Problem: the diameters of two spheres are in the ratio 1 : 2 what is the ratio of their volumes ? \nOptions: a ) 1 : 9 , b ) 1 : 2 , c ) 1 : 8 , d ) 1 : 1 , e ) 1 : 6", "output": [ "c" ] }, { "id": "task1423-fc764f06f4d3451abdac6c05cbc4ad80", "input": "Problem: a semicircle has a radius of 14 . what is the approximate perimeter of the semicircle ? \nOptions: a ) 72 , b ) 76 , c ) 80 , d ) 84 , e ) 88", "output": [ "a" ] }, { "id": "task1423-826ebab7f3204d47891b2e1ad7c550aa", "input": "Problem: the length of the rectangular field is double its width . inside the field there is square shaped pond 4 m long . if the area of the pond is 1 / 8 of the area of the field . what is the length of the field ? \nOptions: a ) 54 , b ) 32 , c ) 75 , d ) 28 , e ) 16", "output": [ "e" ] }, { "id": "task1423-07ce44302c764ab4be2c52debf5ec413", "input": "Problem: a rectangular window is twice as long as it is wide . if its perimeter is 18 feet , then what are its dimensions in feet ? \nOptions: ['a ) 3 / 2 by 7 / 2', 'b ) 5 / 3 by 10 / 3', 'c ) 2 by 4', 'd ) 3 by 6', 'e ) 10 / 3 by 20 / 3']", "output": [ "d" ] }, { "id": "task1423-4b57b1acee914e2b903d1c0a0f3dfeae", "input": "Problem: the water level in a rectangular swimming pool measuring 40 feet by 25 feet is to be lowered by 6 inches . how many gallons of water must be removed ? ( 1 cu ft = 7.5 gallons ) \nOptions: a ) 100 , b ) 250 , c ) 750 , d ) 3750 , e ) 5625", "output": [ "d" ] }, { "id": "task1423-6dff6449bdd843ecac13f725377959e4", "input": "Problem: a certain farmer pays $ 70 per acre per month to rent farmland . how much does the farmer pay per month to rent a rectangular plot of farmland that is 360 feet by 605 feet ? ( 43,560 square feet = 1 acre ) \nOptions: a ) $ 5,330 , b ) $ 3,360 , c ) $ 1,350 , d ) $ 360 , e ) $ 1050", "output": [ "e" ] }, { "id": "task1423-8f02c742cd824fd496a2c919548d79b2", "input": "Problem: if the length and breadth of a rectangular room are each increased by 1 m , then the area of floor is increased by 21 sq . m . if the length is creased by 1 m and breadth is decreased by 1 m , then the area is decreased by 5 sq . m . the perimeter of the floor is : \nOptions: ['a ) 27', 'b ) 35', 'c ) 40', 'd ) 49', 'e ) 38']", "output": [ "c" ] }, { "id": "task1423-37dc0f249a56466cb76d59069fb15227", "input": "Problem: if the diagonal of a rectangle is 17 cm long and its perimeter is 46 cm , find the area of the rectangle . \nOptions: ['a ) 127 cm ^ 2', 'b ) 125 cm ^ 2', 'c ) 120 cm ^ 2', 'd ) 102 cm ^ 2', 'e ) none of them']", "output": [ "c" ] }, { "id": "task1423-1264b6b599644ba391200f7502863681", "input": "Problem: there is a rectangular prism made of 1 in cubes that has been covered in tin foil . there are exactly 128 cubes that are not touching any tin foil on any of their sides . if the width of the figure created by these 128 cubes is twice the length and twice the height , what is the p measure in inches of the width of the foil covered prism ? \nOptions: a ) 4 , b ) 6 , c ) 8 , d ) 9 , e ) 10", "output": [ "e" ] }, { "id": "task1423-85ecc9926ec146b4906aa43ac7ef94ff", "input": "Problem: the second angle of a triangle is double the first ( 110 ) . the third angle is 40 less than the first ( 15 ) . find the first angle . \nOptions: a ) 35 , b ) 45 , c ) 55 , d ) 65 , e ) 75", "output": [ "c" ] }, { "id": "task1423-0814a831c0ea4bdc86e228af87cc6c65", "input": "Problem: abcd is a square where ab = â ˆ š 4008 . let x be a point on ab and y be a point on cd such that ax = cy . compute the area of trapezoid axyd . \nOptions: a ) 3008 , b ) 2004 , c ) 1008 , d ) 2016 , e ) 3000", "output": [ "b" ] }, { "id": "task1423-4d8c078c628142be8592991d720f5602", "input": "Problem: in a new housing development , trees are to be planted along the sidewalk of a certain street . each tree takes up one square foot of sidewalk space , and there are to be 12 feet between each tree . how many trees can be planted if the road is 157 feet long ? \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 13", "output": [ "e" ] }, { "id": "task1423-435c01d9a6a64fd5a038bc276451e289", "input": "Problem: what is the smallest positive perfect square that is divisible by 9 , 15 , and 25 ? \nOptions: a ) 100 , b ) 225 , c ) 900 , d ) 1,600 , e ) 4,900", "output": [ "b" ] }, { "id": "task1423-83b34582b21e4cdcb36c823160440016", "input": "Problem: what is the area of a triangle with the following vertices l ( 2 , 3 ) , m ( 5 , 1 ) , and n ( 3 , 5 ) ? \nOptions: ['a ) 3', 'b ) 4', 'c ) 5', 'd ) 6', 'e ) 7']", "output": [ "b" ] }, { "id": "task1423-a269aaa24eb448b99d5bb8f0225dfbd6", "input": "Problem: a rectangular grass field is 75 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ? \nOptions: a ) 2999 , b ) 1350 , c ) 2677 , d ) 2898 , e ) 2787", "output": [ "b" ] }, { "id": "task1423-e106b86b803e4f3097e5a695fa75a15d", "input": "Problem: the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 432 sq m , then what is the breadth of the rectangular plot ? \nOptions: a ) 12 , b ) 17 , c ) 18 , d ) 19 , e ) 14", "output": [ "a" ] }, { "id": "task1423-a3a995699fcf4dadb710ba6654357e84", "input": "Problem: what is the smallest positive perfect square that is divisible by 4 , 9 , and 18 ? \nOptions: a ) 36 , b ) 81 , c ) 144 , d ) 625 , e ) 900", "output": [ "a" ] }, { "id": "task1423-bcea05a22a9c412495c9582402369d15", "input": "Problem: the floor of a rectangular room is 19 m long and 12 m wide . the room is surrounded by a veranda of width 2 m on all its sides . the area of the veranda is : \nOptions: a ) 144 m 2 , b ) 140 m 2 , c ) 108 m 2 , d ) 158 m 2 , e ) none of these", "output": [ "b" ] }, { "id": "task1423-43e4bcee9e854fd59cb966b6ab8cf79f", "input": "Problem: the area of a circle is increased by 1500 % . by what percent has the diameter of the circle increased ? \nOptions: a ) 100 % , b ) 500 % , c ) 300 % , d ) 600 % , e ) 800 %", "output": [ "b" ] }, { "id": "task1423-7a62677924b842f39de30181affccb4f", "input": "Problem: the ratio of the volumes of two cubes is 125 : 1728 . what is the ratio of their total surface areas ? \nOptions: a ) 81 : 121 , b ) 9 : 11 , c ) 25 : 144 , d ) 27 : 121 , e ) none of these", "output": [ "c" ] }, { "id": "task1423-6822dd27c46b4e69bea71a87571c014a", "input": "Problem: the length of the rectangular field is double its width . inside the field there is square shaped pond 8 m long . if the area of the pond is 1 / 8 of the area of the field . what is the length of the field ? \nOptions: a ) 73 , b ) 32 , c ) 34 , d ) 43 , e ) 42", "output": [ "b" ] }, { "id": "task1423-3b903e670dd545cb92924d9a3d7d8477", "input": "Problem: obra drove 150 π meters along a circular track . if the area enclosed by the circular track on which she drove is 57,600 π square meters , what percentage of the circular track did obra drive ? \nOptions: ['a ) 6.67 %', 'b ) 12.5 %', 'c ) 18.75 %', 'd ) 25 %', 'e ) 31.25 %']", "output": [ "e" ] }, { "id": "task1423-aedb3da3b4734a6b9f6f96f585a51832", "input": "Problem: the faces of a triangular prism are to be painted by 5 different colors . in how many ways can be this be done ? \nOptions: ['a ) a . 720', 'b ) b . 256', 'c ) c . 1', 'd ) d . 120', 'e ) e . 36']", "output": [ "d" ] }, { "id": "task1423-a10a1f791ec54075ba0d9bd6ff1a4d33", "input": "Problem: the area of a rectangular plot is 460460 square metres . if the length is 15 % 15 % more than the breadth , what is the breadth of the plot ? \nOptions: a ) 14 metres , b ) 20 metres , c ) 18 metres , d ) 12 metres , e ) 16 metres", "output": [ "b" ] }, { "id": "task1423-3447227d1c7a45f0941663bb1c4633aa", "input": "Problem: a rectangular grass field is 75 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 3 per sq m ? \nOptions: a ) 675 , rs . 2025 , b ) 575 , rs . 1350 , c ) 1350 , rs . 675 , d ) 1450 , rs . 775 , e ) 1550 , rs . 875", "output": [ "a" ] }, { "id": "task1423-02e40eca05f74da6886b0caa264589e5", "input": "Problem: the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 588 sq m , then what is the breadth of the rectangular plot ? \nOptions: a ) 16 , b ) 17 , c ) 18 , d ) 19 , e ) 14", "output": [ "e" ] }, { "id": "task1423-10fd44ea2bd340f9ae59733c6f47d4a6", "input": "Problem: an entry in an unshaded square is obtained by adding the entries connected to it from the row above ( 11 is one such number ) . write the value of n ? \nOptions: ['a ) 10', 'b ) 11', 'c ) 12', 'd ) 9', 'e ) 8']", "output": [ "a" ] }, { "id": "task1423-4cc2e31d9d774bd394b2ff11b5b3f2bc", "input": "Problem: the ratio of the volumes of two cubes is 27 : 64 . what is the ratio of their total surface areas ? \nOptions: ['a ) 18 : 21', 'b ) 81 : 13', 'c ) 8 : 15', 'd ) 16 : 21', 'e ) 1 : 13']", "output": [ "d" ] }, { "id": "task1423-3a9ec348bb08412f96ff08e6e9fd064b", "input": "Problem: a circle in the coordinate plane passes through points ( - 3 , - 2 ) and ( 1 , 3 ) . what is the smallest possible area of that circle ? \nOptions: a ) 10.5 π , b ) 26 π , c ) 262 √ π , d ) 52 π , e ) 64 π", "output": [ "a" ] }, { "id": "task1423-8bce52d2938e4b11ae40d1f655e2beaf", "input": "Problem: a full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet . oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck ' s tank is completely filled . if the truck ' s tank has a radius of 5 feet and a height of 12 feet , how far ( in feet ) did the oil level drop in the stationary tank ? \nOptions: a ) 2.5 , b ) 0.025 , c ) 0.05 , d ) 0.03 , e ) 3", "output": [ "d" ] }, { "id": "task1423-e96d0e7898dc49f1979a0b394991e140", "input": "Problem: radius of a circle is 5 cm , if we draw a rectangle of maximum size , what is the area of rectangle ? \nOptions: ['a ) 30', 'b ) 40', 'c ) 50', 'd ) 60', 'e ) 70']", "output": [ "c" ] }, { "id": "task1423-c8c8d27729404138be4ebceba488087d", "input": "Problem: the ratio of the volumes of two cubes is 2744 : 3375 . what is the ratio of their total surface areas ? \nOptions: a ) 71 : 76 , b ) 71 : 131 , c ) 71 : 145 , d ) 71 : 167 , e ) 71 : 113", "output": [ "a" ] }, { "id": "task1423-5977dd2bc935491f910c8ad4126e419a", "input": "Problem: carmen made a sculpture from small pieces of wood . the sculpture is 2 feet 10 inches tall . carmen places her sculpture on a base that is 4 inches tall . how tall are the sculpture andbase together ? \nOptions: ['a ) 3.17 feet', 'b ) 3.2 feet', 'c ) 3.3 feet', 'd ) 3.4 feet', 'e ) 3.5 feet']", "output": [ "a" ] }, { "id": "task1423-ec4f590e9b994b4dbd343c89aed67a7a", "input": "Problem: a rectangular floor that measures 24 meters by 64 meters is to be covered with carpet squares that each measure 8 meters by 8 meters . if the carpet squares cost $ 24 apiece , what is the total cost for the number of carpet squares needed to cover the floor ? \nOptions: ['a ) $ 200', 'b ) $ 576', 'c ) $ 480', 'd ) $ 960', 'e ) $ 1,920']", "output": [ "b" ] }, { "id": "task1423-e960f5a8db7942f2b637f47d9e08cd6d", "input": "Problem: the length of a rectangle is increased by 35 % and its breadth is decreased by 20 % . what is the effect on its area ? \nOptions: a ) 10800 , b ) 1299 , c ) 1000 , d ) 10000 , e ) 2887", "output": [ "a" ] }, { "id": "task1423-8e3f4034708d4dd795121c155953a85a", "input": "Problem: what is the % change in the area of a rectangle when its length increases by 10 % and its width decreases by 10 % ? \nOptions: a ) 0 % , b ) 20 % increase , c ) 20 % decrease , d ) 1 % decrease , e ) insufficient data", "output": [ "d" ] }, { "id": "task1423-c3adf5f3b1914e31a17c88ee323b4c3f", "input": "Problem: a cylindrical can has a radius of 3 centimeters and a height of 24 centimeters . what is the area , in square centimeters , of a rectangular label that completely covers the curved surface of the can without over - lapping ? \nOptions: ['a ) 16 pi', 'b ) 64 pi', 'c ) 96 pi', 'd ) 144 pi', 'e ) 576 pi']", "output": [ "d" ] }, { "id": "task1423-97b69d0cc3ed4afabd9806c3f512d70f", "input": "Problem: a square is drawn by joining the mid points of the sides of a given square in the same way and this process continues indefinitely . if a side of the first square is 4 cm , determine the sum of the areas all the square . \nOptions: ['a ) 32 cm 2', 'b ) 16 cm 2', 'c ) 20 cm 2', 'd ) 64 cm 2', 'e ) none of these']", "output": [ "a" ] }, { "id": "task1423-e24c3271611a423f8fdb8f86d9140a7a", "input": "Problem: if ( 20 ) ² is subtracted from the square of a number , the answer so obtained is 4321 . what is the number ? \nOptions: ['a ) 68', 'b ) 69', 'c ) 70', 'd ) 71', 'e ) 72']", "output": [ "b" ] }, { "id": "task1423-d7297edcd25f4779af75cec832e16ad1", "input": "Problem: what is the area of a circle having the same perimeter as that of a square whose area is 121 . \nOptions: ['a ) 306', 'b ) 307', 'c ) 308', 'd ) 309', 'e ) 310']", "output": [ "c" ] }, { "id": "task1423-754e788d6a0d400ba4ecfe970721898f", "input": "Problem: the length of a rectangular garden is three times its width . if the area of the rectangular garden is 432 square meters , then what is the width of the rectangular garden ? \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12", "output": [ "e" ] }, { "id": "task1423-c8c02cb08bd1451f88fe26d1498a4d1b", "input": "Problem: a small , rectangular park has a perimeter of 560 feet and a diagonal measurement of 500 feet . what is its area , in square feet ? \nOptions: a ) 12,000 , b ) 19,600 , c ) 20,000 , d ) 20,400 , e ) 20,800", "output": [ "a" ] }, { "id": "task1423-3bd6a1d1352c491ab1c2f9cc37ccff9c", "input": "Problem: if y is the smallest positive integer such that 8,820 multiplied by y is the square of an integer , then y must be \nOptions: a ) 2 , b ) 5 , c ) 6 , d ) 7 , e ) 14", "output": [ "b" ] }, { "id": "task1423-b5945b1b58774a49ab8de78d3bb2107a", "input": "Problem: the product of the squares of two positive integers is 81 . how many pairs of positive integers satisfy this condition ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "c" ] }, { "id": "task1423-dada8736f34643bda4fde4baf3f614fc", "input": "Problem: the roof of an apartment building is rectangular and its length is 7 times longer than its width . if the area of the roof is 847 feet squared , what is the difference between the length and the width of the roof ? \nOptions: a ) 38 . , b ) 40 . , c ) 66 . , d ) 44 . , e ) 46 .", "output": [ "c" ] }, { "id": "task1423-8e1b7937d5ce417eae228b66b5c3505c", "input": "Problem: there is a square of side 6 cm . a circle is inscribed inside the square . find the ratio of the area of circle to square . \nOptions: ['a ) 11 / 14', 'b ) 1 / 14', 'c ) 13 / 14', 'd ) 12 / 14', 'e ) 5 / 14']", "output": [ "a" ] }, { "id": "task1423-f5c59b5217664ca8b11b969ef882e311", "input": "Problem: a metallic sheet is of rectangular shape with dimensions 48 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m 3 ) is : \nOptions: a ) 4830 , b ) 5120 , c ) 6420 , d ) 8960 , e ) none", "output": [ "b" ] }, { "id": "task1423-7f18ee755cdb4526885fed9dee601713", "input": "Problem: the parameter of a square is equal to the perimeter of a rectangle of length 40 cm and breadth 20 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) ? \nOptions: a ) 47.14 , b ) 45.15 , c ) 43.23 , d ) 41.44 , e ) 41.51", "output": [ "a" ] }, { "id": "task1423-c2797cc58e214df3b2d2cb1080a4f8e2", "input": "Problem: the perimeter of a triangle is 32 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ? \nOptions: a ) 87 cm 2 , b ) 28 cm 2 , c ) 98 cm 2 , d ) 26 cm 2 , e ) 40 cm 2", "output": [ "e" ] }, { "id": "task1423-8b3edeac4dff40fea59ad9957de57ce7", "input": "Problem: if a rectangular room measures 10 meters by 5 meters by 4 meters , what is the volume of the room in cubic centimeters ? ( 1 meter = 100 centimeters ) \nOptions: a ) 24,000 , b ) 240,000 , c ) 2 , 400,000 , d ) 200 , 000,000 , e ) 240 , 000,000", "output": [ "d" ] }, { "id": "task1423-d9066438d75645fa90f9f819f8e96237", "input": "Problem: a sphere is inscribed in a cube with an edge of 10 . what is the shortest possible distance from one of the vertices of the cube to the surface of the sphere ? \nOptions: ['a ) 10 ( √ 3 - 1 )', 'b ) 5', 'c ) 10 ( √ 2 - 1 )', 'd ) 5 ( √ 3 - 1 )', 'e ) 5 ( √ 2 - 1 )']", "output": [ "d" ] }, { "id": "task1423-020f96d4aa5f4e83871989bd1c4350ec", "input": "Problem: a gardener changed the size of his rectangle shaped garden by increasing it ' s length by 40 % & decreasing is ' s width by 20 % . find area of new garden . \nOptions: ['a ) 1.04', 'b ) 1.12', 'c ) 1.24', 'd ) 1.4', 'e ) 1.5']", "output": [ "b" ] }, { "id": "task1423-b9564636bf264fe2a120d549179a006c", "input": "Problem: what is the maximum number t of 27 cubic centimetre cubes that can fit in a rectangular box measuring 8 centimetre x 9 centimetre x 12 centimetre ? \nOptions: ['a ) 36', 'b ) 32', 'c ) 24', 'd ) 21', 'e ) 15']", "output": [ "c" ] }, { "id": "task1423-795577167c3a40459590824a917a4eca", "input": "Problem: what is the area of a square with perimeter 4 p ? \nOptions: a ) p ^ 2 , b ) 4 p , c ) p ^ 2 / 4 , d ) p / 16 , e ) p ^ 2 / 16", "output": [ "a" ] }, { "id": "task1423-2fc84d929b5a4bc4a4a55036f4d25f88", "input": "Problem: the mass of 1 cubic meter of a substance is 100 kg under certain conditions . what is the volume in cubic centimeters of 1 gram of this substance under these conditions ? ( 1 kg = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters ) \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12", "output": [ "c" ] }, { "id": "task1423-9eb4b937e35d4bf69ed737a0da4dc33d", "input": "Problem: suppose you have three identical prisms with congruent equilateral triangles as the end - polygons . suppose you attach them by the rectangular faces so they are perfectly aligned . there will be some large faces created by two or more co - planar faces of the individual prisms : count each such large face as one . given that , how many faces does the resultant solid have ? \nOptions: a ) 4 , b ) 6 , c ) 9 , d ) 10 , e ) 12", "output": [ "b" ] }, { "id": "task1423-7092feb06f41414a98759e607876de42", "input": "Problem: the area of a parallelogram is 72 sq m and its altitude is twice the corresponding base . then the length of the base is ? \nOptions: a ) 6 , b ) 16 , c ) 8 , d ) 36 , e ) none", "output": [ "a" ] }, { "id": "task1423-cac485ff72c14a598c70c8356b2bcc87", "input": "Problem: a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 800 sq . ft , how many feet of fencing will be required ? \nOptions: a ) 100 feet , b ) 120 feet , c ) 150 feet , d ) 180 feet , e ) 186 feet", "output": [ "a" ] }, { "id": "task1423-70bbe441ac05486cba3099a5797fe56f", "input": "Problem: in triangle pqr , the angle q = 90 degree , pq = 2 cm , qr = 8 cm . x is a variable point on pq . the line through x parallel to qr , intersects pr at y and the line through y , parallel to pq , intersects qr at z . find the least possible length of xz \nOptions: a ) 1.6 cm , b ) 2.4 cm , c ) 4.8 cm , d ) 2.16 cm , e ) 3.2 cm", "output": [ "a" ] }, { "id": "task1423-9a3645d2f44d4ec9bb1802ce678a9978", "input": "Problem: a making a cube with dimension 5 * 5 * 5 using 1 * 1 * 1 cubes . what is the number of cubes needed to make hollow cube looking of the same shape . \nOptions: ['a ) 98', 'b ) 99', 'c ) 100', 'd ) 101', 'e ) 102']", "output": [ "a" ] }, { "id": "task1423-eb41e692654e49c7b1917e16a678a14c", "input": "Problem: the perimeter of an isosceles right triangle is 8 + 8 sq rt 2 . what is the length of the hypotenuse of the triangle ? \nOptions: a ) 4 , b ) 5.656 , c ) 5 , d ) 6 , e ) 7", "output": [ "b" ] }, { "id": "task1423-4a3290c39b3b4ca381de92b62233f31e", "input": "Problem: find the area of a parallelogram with base 10 cm and height 20 cm . \nOptions: a ) 200 , b ) 384 , c ) 200 , d ) 244 , e ) 242", "output": [ "c" ] }, { "id": "task1423-bd34c42d04d344d588adb10f9fa74236", "input": "Problem: what is the ratio between perimeters of two squares one having 1.5 times the diagonal then the other ? \nOptions: a ) 3 : 6 , b ) 1.5 : 1 , c ) 3 : 1.5 , d ) 2 : 1 , e ) 3 : 2", "output": [ "b" ] }, { "id": "task1423-830feb4d42044f15a3dbb3b45372f0fc", "input": "Problem: the diagonal of a square is the height in an equilateral triangle . if the side of the square is x , what is the side of the equilateral triangle in terms of x ? \nOptions: ['a ) √ ( 2 / 3 ) × x', 'b ) 2 / √ 3 × x', 'c ) √ 3 x', 'd ) √ ( 8 / 3 ) × x', 'e ) 2 √ 3 × x']", "output": [ "d" ] }, { "id": "task1423-7d0667617b34401e8c3f1c11742790f7", "input": "Problem: in a triangle abc , ab = 6 , bc = 8 and ac = 10 . a perpendicular dropped from b , meets the side ac at d . a circle of radius bd ( with centre b ) is drawn . if the circle cuts ab and bc at p and q respectively , then ap : qc is equal to \nOptions: ['a ) 1 : 1', 'b ) 3 : 2', 'c ) 4 : 1', 'd ) 3 : 8', 'e ) 2 : 5']", "output": [ "d" ] }, { "id": "task1423-d56c3c77bcc047e89b9d6b3412127245", "input": "Problem: carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 5 inches by 24 inches and jordan ' s rectangle is 8 inches long , how wide is jordan ' s rectangle , in inches ? \nOptions: a ) 25 , b ) 23 , c ) 22 , d ) 15 , e ) 18", "output": [ "d" ] }, { "id": "task1423-7ab80ea78d264f28a93c1f795bc688e1", "input": "Problem: a football field is 10800 square yards . if 1200 pounds of fertilizer are spread evenly across the entire field , how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards ? \nOptions: a ) 400 , b ) 600 , c ) 750 , d ) 2400 , e ) 3200", "output": [ "a" ] }, { "id": "task1423-7e2eafcd9d48490ba4f6daac15c90b95", "input": "Problem: rectangular tile each of size 35 cm by 30 cm must be laid horizontally on a rectangular floor of size 1000 cm by 210 cm , such that the tiles do not overlap and they are placed with edges jutting against each other on all edges . a tile can be placed in any orientation so long as its edges are parallel to the edges of floor . no tile should overshoot any edge of the floor . the maximum number of tiles that can be accommodated on the floor is : \nOptions: ['a ) 600', 'b ) 400', 'c ) 200', 'd ) 500', 'e ) 100']", "output": [ "c" ] }, { "id": "task1423-455a4613f8fb45af80a464eec722f2d4", "input": "Problem: the dimensions of a rectangular solid are 4 inches , 5 inches , and 12 inches . if a cube , a side of which is equal to one of the dimensions of the rectangular solid , is placed entirely within thespherejust large enough to hold the cube , what the ratio of the volume of the cube to the volume within thespherethat is not occupied by the cube ? \nOptions: a ) 10 : 17 , b ) 2 : 5 , c ) 5 : 16 , d ) 25 : 7 , e ) 10 : 21", "output": [ "e" ] }, { "id": "task1423-7e0491b3b124496ba141cf80dfae5390", "input": "Problem: what is the measure of the radius of the circle inscribed in a triangle whose sides measure 8 , 15 and 19 units ? \nOptions: a ) 2.8 units , b ) 6 units , c ) 3 units , d ) 5 units , e ) 12 units", "output": [ "a" ] }, { "id": "task1423-541a2addc84c4e59ac46e216e7d722ec", "input": "Problem: a small , rectangular park has a perimeter of 560 feet and a diagonal measurement of 100 feet . what is its area , in square feet ? \nOptions: a ) 4,800 , b ) 19,600 , c ) 20,000 , d ) 20,400 , e ) 20,800", "output": [ "a" ] }, { "id": "task1423-039633fd0e9a4c50b68fc103424dea8a", "input": "Problem: a gardener grows cabbages in her garden that is in the shape of a square . each cabbage takes 1 square feet of area in her garden . this year , she has increased her output by 181 cabbages as compared to last year . the shape of the area used for growing the cabbages has remained a square in both these years . how many cabbages did she produce this year ? \nOptions: ['a ) 6564', 'b ) 7372', 'c ) 8281', 'd ) 9331', 'e ) can not be determined']", "output": [ "c" ] }, { "id": "task1423-2bd3486976a04830b399f1352cf41a05", "input": "Problem: if the sides of a triangle are 26 cm , 24 cm and 20 cm , what is its area ? \nOptions: a ) 120 , b ) 772 , c ) 288 , d ) 266 , e ) 240", "output": [ "e" ] }, { "id": "task1423-1aa4408c503343408c9f1fadbf7bede9", "input": "Problem: a rectangular box 60 m long and 40 m wide has two concrete crossroads running in the middle of the box and rest of the box has been used as a lawn . the area of the lawn is 2109 sq . m . what is the width of the road ? \nOptions: ['a ) 3 m', 'b ) 4 m', 'c ) 5 m', 'd ) 6 m', 'e ) 2 m']", "output": [ "a" ] }, { "id": "task1423-c941960c3b4a4125ada5563de5dc57ad", "input": "Problem: of the two square fields , the area of the one is 1 hectare , while anothe one is broader by 1 % . there differences in area is : \nOptions: ['a ) 201 m ( power ) 2', 'b ) 220 m ( power ) 2', 'c ) 211 m ( power ) 2', 'd ) 219 m ( power ) 2', 'e ) 205 m ( power ) 2']", "output": [ "a" ] }, { "id": "task1423-b60865458d614d0a97f971cfe46c78b6", "input": "Problem: a water tank , having the shape of a rectangular prism of base 100 square centimeters , is being filled at the rate of 1 liter per minute . find the rate at which the height of the water in the water tank increases . express your answer in centimeters per minute . \nOptions: ['a ) 30 cm', 'b ) 10 cm', 'c ) 50 cm', 'd ) 90 cm', 'e ) 70 cm']", "output": [ "b" ] }, { "id": "task1423-2790a8ff5df346e5891c2c840fdf50d8", "input": "Problem: a 6 - meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 1 if the original wire was cut at an arbitrary point ? \nOptions: ['a ) 2 / 3', 'b ) 3 / 4', 'c ) 4 / 5', 'd ) 5 / 6', 'e ) 6 / 7']", "output": [ "a" ] }, { "id": "task1423-3070272a907f4b30bfe0a07d755bd730", "input": "Problem: the dimensions of a room are 25 feet * 15 feet * 12 feet . what is the cost of white washing the four walls of the room at rs . 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ? \nOptions: a ) 2277 , b ) 2977 , c ) 2677 , d ) 4530 , e ) 1971", "output": [ "d" ] }, { "id": "task1423-9758c436b2394bd7963ce8a070e083d7", "input": "Problem: a cube is painted red on all faces . it is then cut into 27 equal smaller cubes . how many cubes are painted on only 2 faces ? \nOptions: ['a ) 12', 'b ) 8', 'c ) 6', 'd ) 10', 'e ) 16']", "output": [ "a" ] }, { "id": "task1423-d790da20fea441a9946009188f254ae8", "input": "Problem: a rectangular field is to be fenced on three sides leaving a side of 40 feet uncovered . if the area of the field is 680 sq . ft , how many feet of fencing will be required ? \nOptions: a ) 44 ft , b ) 88 ft , c ) 74 ft , d ) 11 ft , e ) 66 ft", "output": [ "c" ] }, { "id": "task1423-4e81f9a727cc4e7d876a8e4c953ed4b7", "input": "Problem: danny is sitting on a rectangular box . the area of the front face of the box is half the area of the top face , and the area of the top face is 1.5 times the area of the side face . if the volume of the box is 5184 , what is the area of the side face of the box ? \nOptions: a ) 123 , b ) 167 , c ) 178 , d ) 199 , e ) 288", "output": [ "e" ] }, { "id": "task1423-61e251d83d114699ba6737994dd357de", "input": "Problem: find the ratio of the curved surfaces of two cylinders of same heights if their radii are in the ratio 1 : 2 ? \nOptions: ['a ) 1 : 2', 'b ) 2 : 3', 'c ) 2 : 9', 'd ) 2 : 1', 'e ) 2 : 2']", "output": [ "a" ] }, { "id": "task1423-77712c180f5e47a191b228465f5ecd7a", "input": "Problem: find the area of right angled triangle whose hypotenuse is 15 cm and one of the sides is 12 cm . \nOptions: ['a ) 34 cm ²', 'b ) 38 cm ²', 'c ) 54 cm ²', 'd ) 56 cm ²', 'e ) 64 cm ²']", "output": [ "c" ] }, { "id": "task1423-b296c781ccfb441b8801467cfe6763ad", "input": "Problem: how much space , in cubic units , is left vacant when maximum number of 2 x 2 x 2 cubes are fitted in a rectangular box measuring 8 x 10 x 9 ? \nOptions: a ) 60 , b ) 65 , c ) 70 , d ) 75 , e ) 80", "output": [ "e" ] }, { "id": "task1423-76c32372154e495291364eb94fdbb552", "input": "Problem: if the sum of a number and its square is 132 , what is the number ? \nOptions: a ) 15 , b ) 11 , c ) 28 , d ) 91 , e ) none of these", "output": [ "b" ] }, { "id": "task1423-32e25ca9cbeb4d269cb540fbbe41fc0e", "input": "Problem: the ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 5292 sq cm . what is the ratio of the width and the area of the rectangle ? \nOptions: a ) 1 : 72 , b ) 1 : 76 , c ) 1 : 80 , d ) 1 : 84 , e ) 1 : 88", "output": [ "d" ] }, { "id": "task1423-e25a616a75574cb0927c575868eb032f", "input": "Problem: suppose you have three identical prisms with congruent equilateral triangles as the end - polygons . suppose you attach them by the rectangular faces so they are perfectly aligned . there will be some large faces created by two or more co - planar faces of the individual prisms : count each such large face as one . given that , how many faces does the resultant solid have \nOptions: ['a ) 4', 'b ) 6', 'c ) 9', 'd ) 10', 'e ) 5']", "output": [ "e" ] }, { "id": "task1423-ea2123b4be6d4820bb16357cec0b49d4", "input": "Problem: the width of a rectangle is 10 meter and its area is 150 square meter . if length of the rectangle is increased then its new area is 4 / 3 times of the original area . what is the new perimeter of the rectangle ? \nOptions: ['a ) 48 m', 'b ) 52 m', 'c ) 54 m', 'd ) 60 m', 'e ) none of these']", "output": [ "d" ] }, { "id": "task1423-30fbce147ca9463bb4b9c1af75d47b70", "input": "Problem: compute the perimeter of a square with area 36 . \nOptions: ['a ) 24', 'b ) 27', 'c ) 25', 'd ) 26', 'e ) 29']", "output": [ "a" ] }, { "id": "task1423-ceb66c242031464ba0a55c02862d17ab", "input": "Problem: find the area of a triangle whose sides are 41 cm , 28 cm , 15 cm . also , find the length of the altitude corresponding to the largest side of the triangle . \nOptions: ['a ) 4.1 cm', 'b ) 5.1 cm', 'c ) 6.1 cm', 'd ) 7.1 cm', 'e ) 8.1 cm']", "output": [ "c" ] }, { "id": "task1423-98088ecf046440c68d8f51b329fbf7ec", "input": "Problem: there is a rectangular prism made of 1 in cubes that has been covered in tin foil . there are exactly 128 cubes that are not touching any tin foil on any of their sides . if the width of the figure created by these 128 cubes is twice the length and twice the height , what is the measure e in inches of the width of the foil covered prism ? \nOptions: ['a ) 4', 'b ) 6', 'c ) 8', 'd ) 9', 'e ) 10']", "output": [ "e" ] }, { "id": "task1423-c26e56b773e94459a1a95d58fe2083d3", "input": "Problem: the side of a rhombus is 22 m and length of one of its diagonals is 16 m . the area of the rhombus is ? \nOptions: a ) 327.9 , b ) 325.9 , c ) 347.7 , d ) 357.9 , e ) 327.9", "output": [ "a" ] }, { "id": "task1423-8252d1625ca74453bb0edb4a4204b287", "input": "Problem: a perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer . how many positive integers n are there such that n is less than 20,000 and at the same time n is a perfect square and a perfect cube ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "c" ] }, { "id": "task1423-7b49a63787334f42aab09592b49e11a5", "input": "Problem: a rectangular grass field is 75 m * 55 m , it has a path of 3.2 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ? \nOptions: a ) s . 1350 , b ) s . 1327 , c ) s . 1328 , d ) s . 1364 , e ) s . 1927", "output": [ "d" ] }, { "id": "task1423-19251f149b8a4c99a8af1df1ccf5804a", "input": "Problem: you buy a piece of land with an area of â ˆ š 625 , how long is one side of the land plot ? \nOptions: a ) 28 , b ) 29 , c ) 30 , d ) 31 , e ) 25", "output": [ "e" ] }, { "id": "task1423-50dd301f885c451ea26ebddd3daaf13d", "input": "Problem: a rectangular grass field is 75 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 7 per sq m ? \nOptions: a ) 4350 , b ) 4725 , c ) 4328 , d ) 4329 , e ) 4829", "output": [ "b" ] }, { "id": "task1423-9c73ce2056a84b9a989dafb08604bd64", "input": "Problem: one side of a rectangular field is 15 m and one of its diagonal is 17 m . find the area of field ? \nOptions: a ) 110 , b ) 120 , c ) 130 , d ) 140 , e ) 150", "output": [ "b" ] }, { "id": "task1423-aab63fc16bc6420bbaf9b5be895b2e35", "input": "Problem: if the volume of a cube is x ^ 3 cubic units , what is the number of square units in the surface area of the cube ? \nOptions: ['a ) x ^ 2', 'b ) x ^ 3', 'c ) x ^ 6', 'd ) 6 x ^ 2', 'e ) 6 x ^ 3']", "output": [ "d" ] }, { "id": "task1423-e14152d22fe14b91bf8532ad8c1df1d7", "input": "Problem: an iron cube of side 10 cm is hammered into a rectangular sheet of thickness 0.5 cm . if the sides of the sheet are in the ratio 1 : 5 , the sides are : \nOptions: ['a ) 10 cm 20 cm', 'b ) 2 cm 10 cm', 'c ) 100 cm 20 cm', 'd ) 30 cm 100 cm', 'e ) none']", "output": [ "a" ] }, { "id": "task1423-f9abe2939b0a42a4b25c73d114c38792", "input": "Problem: cubes with each side one inch long are glued together to form a larger cube . the larger cube ' s face is painted with red color and the entire assembly is taken apart . 26 small cubes are found with no paints on them . how many of unit cubes have at least one face that is painted red ? \nOptions: a ) 64 , b ) 72 , c ) 86 , d ) 98 , e ) 99", "output": [ "e" ] }, { "id": "task1423-509ab0309df94916bf23677e84a753a1", "input": "Problem: what is the area of a circle with the circumference of 88 cms ? \nOptions: a ) 618 sq cms , b ) 516 sq cms , c ) 600 sq cms , d ) 615 sq cms , e ) none of these", "output": [ "e" ] }, { "id": "task1423-df9f26fbf7a14efcbb3b24e65d8bbc98", "input": "Problem: what is the smallest positive perfect square that is divisible by 12 , 15 , and 18 ? \nOptions: a ) 900 , b ) 1,600 , c ) 2,500 , d ) 3,600 , e ) 4,900", "output": [ "a" ] }, { "id": "task1423-9ee7c3ba46ce4839b678095b454444ce", "input": "Problem: what is the smallest positive integer x , such that 1,152 x is a perfect cube ? \nOptions: a ) 4 , b ) 6 , c ) 8 , d ) 12 , e ) 18", "output": [ "d" ] }, { "id": "task1423-8d3ff710b8034638bd2b1f0aeaa3e11d", "input": "Problem: the area of a rectangular plot is 460 square metres . if the length is 15 % more than the breadth , what is the breadth of the plot ? \nOptions: a ) 14 m , b ) 20 m , c ) 18 m , d ) 12 m , e ) 15 m", "output": [ "b" ] }, { "id": "task1423-3766c9a03eea4ab7b7ea61feb21edb77", "input": "Problem: 34 . the side surface of a cylinder can is rolled with a rectangular plate . if the height of a cylinder tank is 8 feet and the perimeter of the circular base is 6 feet , what is the diagonal of the rectangular plate ? \nOptions: ['a ) 10', 'b ) 12', 'c ) 8', 'd ) 14', 'e ) 9']", "output": [ "a" ] }, { "id": "task1423-66b187a968964906afa1e028436804c8", "input": "Problem: in measuring the sides of a rectangle , one side is taken 6 % in excess , and the other 5 % in deficit . find the error percent in the area calculated from these measurements . \nOptions: a ) 0.11 % , b ) 0.7 % , c ) 0.4 % , d ) 0.6 % , e ) 0.8 %", "output": [ "b" ] }, { "id": "task1423-788b12eb3e244339a78d4cbc9bff3a4b", "input": "Problem: find the volume & curved surface area of a cylinder with diameter of base 14 cm and height 60 cm . \nOptions: ['a ) 260 cm 2', 'b ) 2610 cm 2', 'c ) 2600 cm 2', 'd ) 2640 cm 2', 'e ) 264 cm 2']", "output": [ "d" ] }, { "id": "task1423-068331ea68204346b0066b834f91e56c", "input": "Problem: the sides of a rectangle are in the ratio 4 : 3 and its area is 972 sq . m find the perimeter of rectangle \nOptions: ['a ) 120 m', 'b ) 122 m', 'c ) 124 m', 'd ) 126 m', 'e ) 128 m']", "output": [ "d" ] }, { "id": "task1423-299735e8cc324f10958efdb8d9e97590", "input": "Problem: in a rectangular coordinate system , what is the area of a quadrilateral whose vertices have the coordinates ( 3 , - 1 ) , ( 3 , 8 ) , ( 12 , 2 ) , ( 12 , - 7 ) ? \nOptions: a ) 69 , b ) 75 , c ) 81 , d ) 87 , e ) 93", "output": [ "c" ] }, { "id": "task1423-f8a34a51f5b64f9a974cbdf42e1508b1", "input": "Problem: a steel vessel has a base of length 60 cm and breadth 30 cm . water is poured in the vessel . a cubical steel box having edge of 30 cm is immersed completely in the vessel . how much will the water rise ? \nOptions: ['a ) 7.5 cm rise', 'b ) 10 cm rise', 'c ) 15 cm rise', 'd ) 30 cm rise', 'e ) none of these']", "output": [ "c" ] }, { "id": "task1423-8d9090f2b9a5466ea807cb00eadb18fd", "input": "Problem: the mass of 1 cubic meter of a substance is 200 kilograms under certain conditions . what is the volume , in cubic centimeters , of 1 gram of this substance under these conditions ? ( 1 kilogram = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters ) \nOptions: a ) 0.8 , b ) 1.25 , c ) 8.0 , d ) 12.5 , e ) 5.0", "output": [ "e" ] }, { "id": "task1423-66e3650458d74cb79c22f006fb0dda7a", "input": "Problem: the perimeter of one face of a cube is 20 cm . its volume will be : \nOptions: a ) 125 cm 3 , b ) 400 cm 3 , c ) 250 cm 3 , d ) 625 cm 3 , e ) none of these", "output": [ "a" ] }, { "id": "task1423-e9d6f513a0af49a288aef9f7ebc09570", "input": "Problem: a rectangular tank needs to be coated with insulation . the tank has dimensions of 3 feet , 5 feet , and 2 feet . each square foot of insulation costs $ 20 . how much will it cost to cover the surface of the tank with insulation ? \nOptions: a ) $ 1100 , b ) $ 1240 , c ) $ 1360 , d ) $ 1480 , e ) $ 1550", "output": [ "b" ] }, { "id": "task1423-a89deaeaf8554fa7a16235e9e2f86031", "input": "Problem: the dimensions of a room are 25 feet * 15 feet * 12 feet . what is the cost of white washing the four walls of the room at rs . 3 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ? \nOptions: a ) s . 4528 , b ) s . 4520 , c ) s . 4527 , d ) s . 4530 , e ) s . 2718", "output": [ "e" ] }, { "id": "task1423-1de42835f32a423eb4e03529f433ce65", "input": "Problem: in measuring the sides of a rectangle , one side is taken 6 % in excess and other 5 % in deficit . find the error percentage in the area calculated from these measurements . \nOptions: a ) 3.5 % , b ) 2.4 % , c ) 3 % , d ) 5 % , e ) 0.7 %", "output": [ "e" ] }, { "id": "task1423-21e02dee8ec64cf38d88e734171127ad", "input": "Problem: a and b are two circles . the radius of a is four times as large as the diameter of b . what is the ratio between the areas of the circles ? \nOptions: ['a ) 1 : 8 .', 'b ) 1 : 2 .', 'c ) 1 : 24 .', 'd ) 1 : 64 .', 'e ) 1 : 6 .']", "output": [ "d" ] }, { "id": "task1423-e15381631a044350abef58f1be2ef849", "input": "Problem: the monthly rent of a shop of dimension 10 feet × 8 feet is rs . 2400 . what is the annual rent per square foot of the shop ? \nOptions: a ) 43 , b ) 56 , c ) 68 , d ) 360 , e ) 92", "output": [ "d" ] }, { "id": "task1423-f80a18f7b0454745aea85a23edf903b5", "input": "Problem: what is the perimeter , in meters , of a rectangular garden 24 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide ? \nOptions: a ) 48 , b ) 56 , c ) 64 , d ) 76 , e ) 192", "output": [ "c" ] }, { "id": "task1423-a2c14d199e914befad6b68529c304a02", "input": "Problem: a block of wood has dimensions 10 cm x 10 cm x 80 cm . the block is painted red and then cut evenly at the 40 cm mark , parallel to the sides , to form two rectangular solids of equal volume . what percentage of the surface area of each of the new solids is not painted red ? \nOptions: ['a ) 5.6 %', 'b ) 8.4 %', 'c ) 11.2 %', 'd ) 14.8 %', 'e ) 17.5 %']", "output": [ "a" ] }, { "id": "task1423-29a10410f0ee47abb72e9d95068b86ea", "input": "Problem: the volume of a certain substance is always directly proportional to its weight . if 48 cubic inches of the substance weigh 112 ounces , what is the volume , in cubic inches , of 53 ounces of this substance ? \nOptions: a ) 27 , b ) 36 , c ) 42 , d ) 22 , e ) 147", "output": [ "d" ] }, { "id": "task1423-8377abc9ebe446cf932c24bd805608dd", "input": "Problem: how many odd numbers between 10 and 1,000 are the squares of integers ? \nOptions: ['a ) 12', 'b ) 13', 'c ) 14', 'd ) 15', 'e ) 16']", "output": [ "c" ] }, { "id": "task1423-b519edca8394444c8ebbdf769ad505d5", "input": "Problem: if y is the smallest positive integer such that 1260 multiplied by y is the square of an integer , then y must be \nOptions: a ) 25 , b ) 35 , c ) 60 , d ) 75 , e ) 140", "output": [ "b" ] }, { "id": "task1423-ec99ba569a7c44ff93b53ee8fdbdc53a", "input": "Problem: the measurement of a rectangular box with lid is 25 cmx 12 cmx 18 cm . find the volume of the largest sphere that can be inscribed in the box ( in terms of π cm 3 ) . ( hint : the lowest measure of rectangular box represents the diameter of the largest sphere ) \nOptions: a ) 288 , b ) 48 , c ) 72 , d ) 864 , e ) 964", "output": [ "a" ] }, { "id": "task1423-d168c7e71a6d42b8b08563fdacd5072a", "input": "Problem: what is the area of a square field whose diagonal of length 40 m ? \nOptions: a ) 287 , b ) 269 , c ) 750 , d ) 200 , e ) 800", "output": [ "e" ] }, { "id": "task1423-03c078d8948d4d719533c592ae818177", "input": "Problem: how much space , in cubic units , is left vacant when maximum number of 5 x 5 x 5 cubes are fitted in a rectangular box measuring 10 x 15 x 18 ? \nOptions: a ) 50 , b ) 150 , c ) 250 , d ) 350 , e ) 450", "output": [ "e" ] }, { "id": "task1423-c9dea7ed66344ef79c2fc0fa0071aca4", "input": "Problem: a wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule , whose length and breadth are in the ratio of 6 : 5 . what is the area of the rectangle ? \nOptions: ['a ) 65 cm 2', 'b ) 30 cm 2', 'c ) 76 cm 2', 'd ) 68 cm 2', 'e ) 46 cm 2']", "output": [ "b" ] }, { "id": "task1423-188e1fdffafe44808ae02ed3460dcda2", "input": "Problem: the length of the diagonal of a square is 12 cm . find its area and perimeter . \nOptions: ['a ) 31.84 cm', 'b ) 33.84 cm', 'c ) 35.84 cm', 'd ) 38.84 cm', 'e ) 38.92 cm']", "output": [ "b" ] }, { "id": "task1423-82e93e6a09f24392b378e129759cab10", "input": "Problem: in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 3.5 ) , ( 8 , 0 ) , ( 0 , - 3.5 ) , ( - 8 , 0 ) ? \nOptions: a ) 56 , b ) 88 , c ) 112 , d ) 116 , e ) 120", "output": [ "a" ] }, { "id": "task1423-f02fabc115a741709dab887a0c9244ab", "input": "Problem: the content of several smaller cylinders ( 3 meter diameter and 6 meter height ) were to be emptied into a larger cylinder ( 20 meter diameter and 10 meter height ) , how many smaller cylinders will fill up the larger cylinder ? \nOptions: ['a ) 20', 'b ) 10', 'c ) 50', 'd ) 74', 'e ) 73']", "output": [ "d" ] }, { "id": "task1423-6cce831b331048168435a4ba2b67368f", "input": "Problem: the size of a television screen is given as the length of the screen ' s diagonal . if the screens were flat , then the area of a square 21 - inch screen would be how many square inches greater than the area of a square 17 - inch screen ? \nOptions: a ) 2 , b ) 4 , c ) 16 , d ) 38 , e ) 76", "output": [ "e" ] }, { "id": "task1423-320db0733ea644f1ae6c298d362a2c4e", "input": "Problem: if the radius of a circle is decreased 60 % , what happens to the area ? \nOptions: a ) 10 % decrease , b ) 20 % decrease , c ) 36 % decrease , d ) 84 % decrease , e ) 50 % decrease", "output": [ "d" ] }, { "id": "task1423-f6d3d5cd071047969a2bc5aa462e4ebb", "input": "Problem: frank the fencemaker needs to fence in a rectangular yard . he fences in the entire yard , except for one full side of the yard , which equals 40 feet . the yard has an area of 480 square feet . how many feet offence does frank use ? \nOptions: ['a ) 14', 'b ) 47', 'c ) 54', 'd ) 180', 'e ) 64']", "output": [ "e" ] }, { "id": "task1423-fc8c3e8caf834384aca7d8505f9d5141", "input": "Problem: danny is sitting on a rectangular box . the area of the front face of the box is half the area of the top face , and the area of the top face is 1.5 times the area of the side face . if the volume of the box is 648 , what is the area of the side face of the box ? \nOptions: ['a ) 32', 'b ) 78', 'c ) 84', 'd ) 90', 'e ) 72']", "output": [ "e" ] }, { "id": "task1423-666db3403ca945768ab1f8a4ba0dc7b2", "input": "Problem: the height of a cylinder is 60 cm and the diameter of its base is 5 cm . the total surface area of the cylinder is \nOptions: ['a ) 918.14', 'b ) 981.41', 'c ) 982.14', 'd ) 928.41', 'e ) none of them']", "output": [ "c" ] }, { "id": "task1423-0335aa5ee54a4a548e0c49302f033bcb", "input": "Problem: the width of a rectangular hall is ½ of its length . if the area of the hall is 450 sq . m , what is the difference between its length and breadth ? \nOptions: a ) 8 m , b ) 10 m , c ) 12 m , d ) 15 m , e ) 17 m", "output": [ "d" ] }, { "id": "task1423-e8475cd870d34dcc8589ad15f2726d39", "input": "Problem: if the sides of a square are multiplied by sqrt ( 2 ) , the area of the original square is how many times as large as the area of the resultant square ? \nOptions: a ) 2 % , b ) 4 % , c ) 50 % , d ) 100 % , e ) 200 %", "output": [ "c" ] }, { "id": "task1423-b74153f6daaa4d24bd7c89053784432e", "input": "Problem: the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 150 sq . cm , what is the width of the rectangle ? \nOptions: a ) 10 cm , b ) 12 cm , c ) 14 cm , d ) 16 cm , e ) 18 cm", "output": [ "a" ] }, { "id": "task1423-f7652bb403984827b502600bceebe87d", "input": "Problem: what is the smallest positive integer x such that 450 x is the cube of a positive integer ? \nOptions: a ) 2 , b ) 15 , c ) 30 , d ) 60 , e ) 120", "output": [ "c" ] }, { "id": "task1423-c128eafd8de74b8895e691cbc7dc6bad", "input": "Problem: calculate the effect changes in dimension of a rectangle will have on its area , if length is increased by 35 % and its breadth is decreased by 21 % ? \nOptions: a ) 4.65 % increase , b ) 5.65 % increase , c ) 6.65 % increase , d ) 6.65 % decrease , e ) 7.65 % increase", "output": [ "c" ] }, { "id": "task1423-b043c6d379e14a63b5162907270596aa", "input": "Problem: what will be the area of a semi - circle of 14 metres diameter ? \nOptions: ['a ) 154 sq metres', 'b ) 77 sq metres', 'c ) 308 sq metres', 'd ) 22 sq metres', 'e ) none of these']", "output": [ "b" ] }, { "id": "task1423-b5e842cd51314be18977777d2da315c0", "input": "Problem: the ratio , by volume , of soap to alcohol to water in a certain solution is 6 : 30 : 90 . the solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved . if the altered solution will contain 150 cubic centimeters of alcohol , how many cubic centimeters of water will it contain ? \nOptions: a ) 1200 , b ) 1300 , c ) 1500 , d ) 1800 , e ) 1900", "output": [ "d" ] }, { "id": "task1423-78c77a711ff24bb4af6fe9db36732a80", "input": "Problem: a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 50 sq . feet , how many feet of fencing will be required ? \nOptions: a ) 34 , b ) 40 , c ) 25 , d ) 88 , e ) 78", "output": [ "c" ] }, { "id": "task1423-84ec342da5784cc3931f1d55dcc3585f", "input": "Problem: there are two circles of different radii . the are of a square is 784 sq cm and its side is twice the radius of the larger circle . the radius of the larger circle is seven - third that of the smaller circle . find the circumference of the smaller circle ? \nOptions: ['a ) 6', 'b ) 5', 'c ) 8', 'd ) 6', 'e ) 3']", "output": [ "c" ] }, { "id": "task1423-559acda509dd4da29077529be1ba3b56", "input": "Problem: can c and can в are both right circular cylinders . the radius of can c is twice the radius of can b , while the height of can c is half the height of can b . if it costs $ 4.00 to fill half of can b with a certain brand of gasoline , how much would it cost to completely fill can c with the same brand of gasoline ? \nOptions: a ) $ 1 , b ) $ 2 , c ) $ 4 , d ) $ 8 , e ) $ 16", "output": [ "e" ] }, { "id": "task1423-6411431ecc834548b544dcba7c56245d", "input": "Problem: the length of a rectangle is reduced by 25 % . by what % would the width have to be increased to maintainthe original area ? \nOptions: a ) 15 % , b ) 20 % , c ) 25 % , d ) 33 % , e ) 40 %", "output": [ "d" ] }, { "id": "task1423-a3d392bdd8e44692b576d50684eee6cd", "input": "Problem: the sides of a square region , measured to the nearest centimeter , are 5 centimeters long . the least possible value of the actual area of the square region is \nOptions: a ) 25.25 sq cm , b ) 20.25 sq cm , c ) 30.25 sq cm , d ) 36.25 sq cm , e ) 40.25 sq cm", "output": [ "b" ] }, { "id": "task1423-4ddbaf8a9a3f4259b535fa63406b74e1", "input": "Problem: carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 12 inches by 15 inches and jordan ' s rectangle is 6 inches long , how wide is jordan ' s rectangle , in inches ? \nOptions: ['a ) 24', 'b ) 26', 'c ) 28', 'd ) 30', 'e ) 32']", "output": [ "d" ] }, { "id": "task1423-7638d6fee7384ddba8dd7ed232083883", "input": "Problem: in may , the groundskeeper at spring lake golf club built a circular green with an area of 90 π square feet . in august , the groundskeeper doubled the distance from the center of the green to the edge of the green . what is the total area of the renovated green ? \nOptions: a ) 360 π , b ) 400 π , c ) 450 π , d ) 500 π , e ) 600 π", "output": [ "a" ] }, { "id": "task1423-f756e4b0739948dba641ec8083867bf7", "input": "Problem: if the volume of two cubes are in the ratio 125 : 1 , the ratio of their edges is : \nOptions: a ) 3 : 1 , b ) 5 : 1 , c ) 3 : 5 , d ) 3 : 7 , e ) none of these", "output": [ "b" ] }, { "id": "task1423-d900f472b15048ad8443d9ed81b95d6d", "input": "Problem: what is the total surface area in square meters of a rectangular solid whose length is 5 meters , width is 4 meters , and depth is 1 meters ? \nOptions: a ) 48 m 2 , b ) 40 m 2 , c ) 50 m 2 , d ) 58 m 2 , e ) 62 m 2", "output": [ "d" ] }, { "id": "task1423-c6904dcd3c024931b0587eded85c2528", "input": "Problem: a park square in shape has a 3 metre wide road inside it running along its sides . the area occupied by the road is 1764 square metres . what is the perimeter along the outer edge of the road ? \nOptions: ['a ) 576 metres', 'b ) 589 metres', 'c ) 600 metres', 'd ) 700 metres', 'e ) none']", "output": [ "c" ] }, { "id": "task1423-ede8608df69042c0a6bb31fb1d382431", "input": "Problem: if the volume of the cube is 729 cm 3 , then the surface area of the cube will be \nOptions: ['a ) 486 sq . cm', 'b ) 456 sq . cm', 'c ) 446 sq . cm', 'd ) 476 sq . cm', 'e ) none of these']", "output": [ "a" ] }, { "id": "task1423-963088a58d59481b8ac0ae1cf3aa660c", "input": "Problem: the area of a right triangle pcm is 18 . length of smallest side cm is 3 units . find the length of the other two sides . \nOptions: ['a ) 12 , 9', 'b ) 18 , 3', 'c ) 15.16 , 6', 'd ) 12 , 12.37', 'e ) 12 , 15.16']", "output": [ "d" ] }, { "id": "task1423-a7ba3ae9b192469d9bb84f62be1b86ea", "input": "Problem: a rectangular block 10 cm by 20 cm by 30 cm is cut into an exact number of equal cubes . find the least possible number of cubes ? \nOptions: a ) 6 , b ) 10 , c ) 15 , d ) 40 , e ) 22", "output": [ "a" ] }, { "id": "task1423-9008790ae91644daa2436cbc95fc9e0f", "input": "Problem: the least perfect square , which is divisible by each of 21 , 36 and 66 is \nOptions: a ) 213414 , b ) 213424 , c ) 213434 , d ) 213444 , e ) none of these", "output": [ "d" ] }, { "id": "task1423-91cf5cc02d304e8c9072c9e7ad076e45", "input": "Problem: a specialized type of sand consists of 40 % mineral x by volume and 60 % mineral y by volume . if mineral x weighs 3.5 grams per cubic centimeter and mineral y weighs 3 grams per cubic centimeter , how many grams does a cubic meter of specialized sand combination weigh ? ( 1 meter = 100 centimeters ) \nOptions: a ) 5 , 500,000 , b ) 3 , 200,000 , c ) 55,000 , d ) 28,000 , e ) 280", "output": [ "b" ] }, { "id": "task1423-4f96c729422c4faa8f623f5453ef9145", "input": "Problem: if the volume and surface area of a sphere are numerically the same , then its radius is : ? \nOptions: ['a ) 2', 'b ) 4', 'c ) 1', 'd ) 5', 'e ) 3']", "output": [ "e" ] }, { "id": "task1423-370537a4bd7847d881b14d90d76e69ae", "input": "Problem: in the coordinate plane , a circle centered on point ( - 3 , - 4 ) passes through point ( - 1 , 1 ) . what is the area of the circle ? \nOptions: ['a ) 9 π', 'b ) 18 π', 'c ) 29 π', 'd ) 37 π', 'e ) 41 π']", "output": [ "c" ] }, { "id": "task1423-48fdadc27f0c45e9923304ac6a9aca4d", "input": "Problem: the radius of a cone is 10 m , height 21 m . the volume of the cone is : \nOptions: ['a ) 2200', 'b ) 1100', 'c ) 5500', 'd ) 3300', 'e ) 1050']", "output": [ "a" ] }, { "id": "task1423-99677305fc964ff1a653aa1f6f47da3c", "input": "Problem: the length of a rectangular landscape is 8 times its breadth . there is a playground in it whose area is 1200 square mtr & which is 1 / 6 rd of the total landscape . what is the length of the landscape ? \nOptions: a ) 180 , b ) 270 , c ) 340 , d ) 140 , e ) 240", "output": [ "e" ] }, { "id": "task1423-887fa044d36b441aba81a41a5a97ea19", "input": "Problem: a metallic sheet is of rectangular shape with dimensions 52 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m 3 ) is : \nOptions: a ) 4830 , b ) 5120 , c ) 6420 , d ) 7500 , e ) 5760", "output": [ "e" ] }, { "id": "task1423-f1a37f494dcf427dad0e07bdb7db16a2", "input": "Problem: if the diameter of circle r is 50 % of the diameter of circle s , the area of circle r is what percent of the area of circle s ? \nOptions: a ) 35 % , b ) 25 % , c ) 20 % , d ) 15 % , e ) 10 %", "output": [ "b" ] }, { "id": "task1423-c2aa2c6ac94c40ce84989632d36d3793", "input": "Problem: the diameter of a cylindrical tin is 14 cm and height is 2 cm . find the volume of the cylinder ? \nOptions: a ) 33 , b ) 45 , c ) 66 , d ) 77 , e ) 98", "output": [ "e" ] }, { "id": "task1423-2860e438bbc3482cb3593ebf9043e93b", "input": "Problem: a rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 5 per sq m ? \nOptions: a ) 6500 , b ) 2779 , c ) 2779 , d ) 3900 , e ) 2781", "output": [ "a" ] }, { "id": "task1423-8723f7e8b8af43fb9e8aa64f752ca742", "input": "Problem: a certain rectangular window is four times as long as it is wide . if its perimeter is 50 feet , what are its dimensions in terms of length by width ? \nOptions: a ) 12 by 2 , b ) 11 by 3 , c ) 20 by 5 , d ) 10 by 4 , e ) 9 by 3", "output": [ "c" ] }, { "id": "task1423-8e5b142bda72489b8ab5caeaecabd5a9", "input": "Problem: the number 90 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ? \nOptions: a ) 17 , b ) 16 , c ) 15 , d ) 14 , e ) 13", "output": [ "b" ] }, { "id": "task1423-5197a58765324da490963fe84b826267", "input": "Problem: a cylinder and a cone have the same height and same radius of base . the ratio between the volumes of the cylinder and the cone is : \nOptions: ['a ) 4 : 1', 'b ) 2 : 1', 'c ) 7 : 1', 'd ) 5 : 1', 'e ) 3 : 1']", "output": [ "e" ] }, { "id": "task1423-d6087896988f4f27bc5c1e9a4450bf9c", "input": "Problem: if the sides of a triangle are 30 cm , 28 cm and 12 cm , what is its area ? \nOptions: a ) 120 cm 2 , b ) 112 cm 2 , c ) 776 cm 2 , d ) 666 cm 2 , e ) 168 cm 2", "output": [ "e" ] }, { "id": "task1423-e85c736ca5734da2ac0b66dd71306b4b", "input": "Problem: a volume of 10996 l water is in a container of sphere . how many hemisphere of volume 4 l each will be required to transfer all the water into the small hemispheres ? \nOptions: a ) 2812 , b ) 8231 , c ) 2734 , d ) 4222 , e ) 2749", "output": [ "e" ] }, { "id": "task1423-4b555338a600402dab1dd49dbd627f35", "input": "Problem: in how many r ways can 5 people from a group of 6 people be seated around a circular table \nOptions: ['a ) 56', 'b ) 80', 'c ) 100', 'd ) 120', 'e ) 144']", "output": [ "e" ] }, { "id": "task1423-7059401564ee4d8f886ebcfc9a1f6fed", "input": "Problem: the roof of an apartment building is rectangular and its length is 4 times longer than its width . if the area of the roof is 784 feet squared , what is the difference between the length and the width of the roof ? \nOptions: a ) 38 . , b ) 40 . , c ) 42 . , d ) 44 . , e ) 46 .", "output": [ "c" ] }, { "id": "task1423-1dedd918c01d4543b81075878ee693dd", "input": "Problem: the area of a square is 144 m ² . find its perimeter . \nOptions: ['a ) 18 m', 'b ) 28 m', 'c ) 38 m', 'd ) 42 m', 'e ) 48 m']", "output": [ "e" ] }, { "id": "task1423-b45bf0a091904b21b1d9ef2da23d0315", "input": "Problem: oy started cycling along the boundaries of a square field from corner point a . after half an hour he reached the corner point c , diagonally opposite to a . if his speed was 8 km / hr , the area of the filed in square km is ? \nOptions: ['a ) 64', 'b ) 4', 'c ) 16', 'd ) 9', 'e ) 5']", "output": [ "b" ] }, { "id": "task1423-1ff352a0b86541529d4e38e662063fe1", "input": "Problem: a box is in the shape of a semicircle with a radius of 12 . what is the approximate perimeter of the semicircle ? \nOptions: ['a ) 54', 'b ) 62', 'c ) 25', 'd ) 34', 'e ) 60']", "output": [ "b" ] }, { "id": "task1423-c3297456eafc4e0c9846ecd5502fe487", "input": "Problem: a lady grows cauliflower in her garden that is in the shape of a square . each cauliflower takes 1 square foot of area in her garden . this year , she has increased her output by 401 cauliflower when compared to last year . the shape of the area used for growing the cauliflower has remained a square in both these years . how many cauliflowers did she produce this year ? \nOptions: a ) 44001 , b ) 44000 , c ) 40400 , d ) 40401 , e ) can not be determined", "output": [ "d" ] }, { "id": "task1423-8166b8ffa7fe411d9c0856e6f6349ab5", "input": "Problem: right triangle abc is to be drawn in the xy - plane so that the right angle is at a and ab is parallel to the y - axis . if the x - and y - coordinates of a , b , and c are to be integers that are consistent with the inequalities - 3 ≤ x ≤ 2 and 4 ≤ y ≤ 9 , then how many different triangles can be drawn that will meet these conditions ? \nOptions: a ) 54 , b ) 432 , c ) 2,160 , d ) 2,916 , e ) 148,824", "output": [ "b" ] }, { "id": "task1423-857e3e8d70f948cfa427b5c64b0569e0", "input": "Problem: the ratio , by volume , of soap to alcohol to water in a certain solution is 20 : 50 : 80 . the solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved . if the altered solution will contain 100 cubic centimeters of alcohol , how many cubic centimeters of water will it contain ? \nOptions: a ) 520 , b ) 640 , c ) 700 , d ) 750 , e ) 800", "output": [ "b" ] }, { "id": "task1423-27a64a66012f4ec58930d86ed5f23fc1", "input": "Problem: the length of a rectangular plot is 10 mtr more than its width . the cost of fencing the plot along its perimeter at the rate of rs . 6.5 mtr is rs . 1950 . the perimeter of the plot is ? \nOptions: ['a ) 126', 'b ) 156', 'c ) 190', 'd ) 300', 'e ) 260']", "output": [ "d" ] }, { "id": "task1423-111f0ac6fb304d7c9b778953b8a11001", "input": "Problem: the mass of 1 cubic meter of a substance is 400 kg under certain conditions . what is the volume in cubic centimeters of 1 gram of this substance under these conditions ? ( 1 kg = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters ) \nOptions: a ) 1.5 , b ) 2.5 , c ) 3.5 , d ) 4.5 , e ) 5.5", "output": [ "b" ] }, { "id": "task1423-199c4b584f4943428273a9fe1b861d42", "input": "Problem: you buy a piece of land with an area of â ˆ š 100 , how long is one side of the land plot ? \nOptions: a ) 28 , b ) 29 , c ) 10 , d ) 31 , e ) 32", "output": [ "c" ] }, { "id": "task1423-3e1829e6b38746398a23ce3c432f5443", "input": "Problem: a circle graph shows how the budget of a certain company was spent : 60 percent for salaries , 9 percent for research and development , 5 percent for utilities , 4 percent for equipment , 2 percent for supplies , and the remainder for transportation . if the area of each sector of the graph is proportional to the percent of the budget it represents , how many degrees of the circle are used to represent transportation ? \nOptions: a ) 18 ° , b ) 36 ° , c ) 54 ° , d ) 72 ° , e ) 90 °", "output": [ "d" ] }, { "id": "task1423-cea674788efd448d870be8e4f8d7b002", "input": "Problem: on the coordinate plane , points p and u are defined by the coordinates ( - 1,0 ) and ( 3,3 ) , respectively , and are connected to form a chord of a circle which also lies on the plane . if the area of the circle is ( 25 / 4 ) π , what are the coordinates of the center of the circle ? \nOptions: ['a ) ( 1.5 , 1 )', 'b ) ( 2 , - 5 )', 'c ) ( 0,0 )', 'd ) ( 1 , 1.5 )', 'e ) ( 2,2 )']", "output": [ "d" ] }, { "id": "task1423-a0bb0fe7693746e69e037c739761b5fd", "input": "Problem: what is the area of square field whose side of length 20 m ? \nOptions: a ) 200 sq m , b ) 186 sq m , c ) 586 sq m , d ) 287 sq m , e ) 400 sq m", "output": [ "e" ] }, { "id": "task1423-1f284b8a14f54cbd81be925ba0dfc0c2", "input": "Problem: the area of a rectangular plot is 23 times its breadth . if the difference between the length and the breadth is 10 metres , what is its breadth ? \nOptions: a ) 13 metres , b ) 5 metres , c ) 7.5 metres , d ) data inadequate , e ) none of these", "output": [ "a" ] }, { "id": "task1423-86c4b56e7d464273899b0c05aad85721", "input": "Problem: the side of a rhombus is 24 m and length of one of its diagonals is 18 m . the area of the rhombus is ? \nOptions: a ) 410.47 , b ) 403.47 , c ) 420.47 , d ) 400.47 , e ) 300.47", "output": [ "d" ] }, { "id": "task1423-9281ed03fa9b4ed0b84d41e08e99ae5e", "input": "Problem: the area of a triangle is with base 8 m and height 4 m ? \nOptions: a ) 88 m 2 , b ) 10 m 2 , c ) 16 m 2 , d ) 77 m 2 , e ) 31 m 2", "output": [ "c" ] }, { "id": "task1423-405e030aa54947998a3d0840af0d02ad", "input": "Problem: the ratio of the radius of two circles is 2 : 7 , and then the ratio of their areas is ? \nOptions: a ) 1 : 7 , b ) 2 : 9 , c ) 1 : 9 , d ) 4 : 49 , e ) 3 : 4", "output": [ "d" ] }, { "id": "task1423-663499a95cb64c84b226674e65938882", "input": "Problem: john is building a rectangular fence around a garden . the length will be 5 feet shorter than its width . if the total area of the garden is 176 square feet , what is the length of the diagonal ( in feet ) ? \nOptions: ['a ) between 18 and 19', 'b ) between 19 and 20', 'c ) between 20 and 21', 'd ) between 21 and 22', 'e ) between 22 and 23']", "output": [ "b" ] }, { "id": "task1423-91f02ffb78fd40a3858dcb260ec43903", "input": "Problem: in a rectangular axis system , what is the area of a parallelogram with the coordinates : ( 1,3 ) , ( 5,3 ) , ( 2,6 ) , ( 6,6 ) ? \nOptions: a ) 21 . , b ) 12 . , c ) 35 . , d ) 49 . , e ) 52 .", "output": [ "b" ] }, { "id": "task1423-4cd08f2c557444498c5973f15400df47", "input": "Problem: the surface area of a sphere is 4 π r 2 , where r is the radius of the sphere . if the area of the base of a hemisphere is 3 , what is the surface area w of that hemisphere ? \nOptions: a ) 6 / π , b ) 9 / π , c ) 6 , d ) 9 , e ) 12", "output": [ "d" ] }, { "id": "task1423-982c0bfdfc9b46bda708d0f438d196ff", "input": "Problem: triangle atriangle b are similar triangles with areas 2023 units square and 1792 units square respectively . the ratio of there corresponding height would be \nOptions: a ) 9 : 10 , b ) 17 : 16 , c ) 23 : 27 , d ) 13 : 17 , e ) 15 : 23", "output": [ "b" ] }, { "id": "task1423-88ba37e20ea4453591399f454f10aa62", "input": "Problem: what is the radius of the incircle of the triangle whose sides measure 5 , 12 and 13 units ? \nOptions: ['a ) 2 units', 'b ) 12 units', 'c ) 6.5 units', 'd ) 6 units', 'e ) 7.5 units']", "output": [ "a" ] }, { "id": "task1423-b97417af9b144c9385dab326017a9f68", "input": "Problem: if the radius of a circle is decreased 40 % , what happens to the area ? \nOptions: a ) 10 % decrease , b ) 20 % decrease , c ) 36 % decrease , d ) 40 % decrease , e ) 64 % decrease", "output": [ "e" ] }, { "id": "task1423-47f7b278707247d8bf2f1deb93b0a930", "input": "Problem: the length of a rectangular plot is thrice its width . if the area of the rectangular plot is 768 sq meters , then what is the width ( in meters ) of the rectangular plot ? \nOptions: a ) 24 m , b ) 16 m , c ) 35 m , d ) 54 m , e ) 43 m", "output": [ "b" ] }, { "id": "task1423-b6bcab9b8bf5436bb5006ece01123cfb", "input": "Problem: what positive number , when squared , is equal to the cube of the positive square root of 14 ? \nOptions: a ) 64 , b ) 32 , c ) 8 , d ) 4 , e ) 2", "output": [ "d" ] }, { "id": "task1423-d436eab073b2448ba14b6b9a61e70293", "input": "Problem: the circumferences of two circles are 528 meters and 704 meters . find the difference between the areas of the larger and the smaller circles ? \nOptions: a ) 29963 sq m , b ) 28937 sq m , c ) 43162 sq m , d ) 27688 sq m , e ) 17248 sq m", "output": [ "e" ] }, { "id": "task1423-8b7c0af0fddb4cd189f36dfcd5f6ca04", "input": "Problem: rectangular tile each of size 70 cm by 30 cm must be laid horizontally on a rectangular floor of size 900 cm by 600 cm , such that the tiles do not overlap and they are placed with edges jutting against each other on all edges . a tile can be placed in any orientation so long as its edges are parallel to the edges of floor . no tile should overshoot any edge of the floor . the maximum number of tiles that can be accommodated on the floor is : \nOptions: a ) 50 , b ) 70 , c ) 80 , d ) 90 , e ) 100", "output": [ "e" ] }, { "id": "task1423-5cbff713f2584c9cbb15380eeabb408e", "input": "Problem: the diagonals of a rhombus are 10 cm and 15 cm . find its area ? \nOptions: a ) 75 , b ) 129 , c ) 150 , d ) 123 , e ) 117", "output": [ "a" ] }, { "id": "task1423-d4dbeca7a82947c1ae8333270c8f3760", "input": "Problem: the percentage increase in the area of a rectangle , if each of its sides is increased by 20 % is \nOptions: a ) 38 % , b ) 40 % , c ) 44 % , d ) 48 % , e ) 50 %", "output": [ "c" ] }, { "id": "task1423-10883caff1d149d5a88350200541766d", "input": "Problem: the points a ( 0 , 0 ) , b ( 0 , 4 a - 2 ) and c ( 2 a + 1 , 2 a + 6 ) form a triangle . if angle abc = 90 , what is the area of triangle abc ? \nOptions: a ) 58 , b ) 70 , c ) 63 , d ) 65 , e ) 72", "output": [ "c" ] }, { "id": "task1423-84eb828b7a1d418e815258b0e09e758f", "input": "Problem: if the sides of a triangle are 31 cm , 29 cm and 15 cm , what is its area ? \nOptions: a ) 220.75 cm 2 , b ) 258 cm 2 , c ) 225.50 cm 2 , d ) 222.25 cm 2 , e ) 217.5 cm 2", "output": [ "e" ] }, { "id": "task1423-518bca7b88524d5fbf0ebaf25c132f23", "input": "Problem: what is the area a of the square with the following coordinates : ( x , y ) , ( 20 , 20 ) , ( 20 , 5 ) , ( x , 5 ) ? \nOptions: ['a ) 60 .', 'b ) 85 .', 'c ) 125 .', 'd ) 225 .', 'e ) it can not be determined from the information given']", "output": [ "d" ] }, { "id": "task1423-2b1b04ed5ce14bcbb6726d69d8210e55", "input": "Problem: 10 business executives and 7 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ? \nOptions: a ) 144 , b ) 131 , c ) 115 , d ) 90 , e ) 45", "output": [ "c" ] }, { "id": "task1423-deefd038a02a489e969202d4724335b3", "input": "Problem: what is the measure of the radius of the circle that circumscribes a triangle whose sides measure 5 , 12 and 13 ? \nOptions: a ) 2.5 , b ) 6.5 , c ) 5 , d ) 6.0 , e ) 7", "output": [ "b" ] }, { "id": "task1423-bda371563d2f44bab0e325218356b1b4", "input": "Problem: all the faces of cubes are painted with red colour . it is then cut into 64 equal small cubes . find how many small cubes are there whose two adjacent faces are coloured red ? \nOptions: a ) 0 , b ) 8 , c ) 16 , d ) 24 , e ) 4", "output": [ "d" ] }, { "id": "task1423-edb636df8e9149e5a2ad6f4a48cd57c9", "input": "Problem: there are two circles of different radii . the are of a square is 784 sq cm and its side is twice the radius of the larger circle . the radius of the larger circle is 7 - third that of the smaller circle . find the circumference of the smaller circle . \nOptions: a ) 165 ∏ cm , b ) 65 ∏ cm , c ) 12 ∏ cm , d ) 14 ∏ cm , e ) 16 ∏ cm", "output": [ "c" ] }, { "id": "task1423-de4a5137abe0471798058b9e366a7e62", "input": "Problem: in a certain parallelogram the degree measure of one angle exceeds that of the other by 40 what is the degree measure of the smaller angle ? \nOptions: a ) 70 , b ) 80 , c ) 85 , d ) 90 , e ) 95", "output": [ "a" ] }, { "id": "task1423-c7b8c03001aa4e71a04bfe52911bdd5d", "input": "Problem: a wire can be bent in the form of a circle of radius 56 cm . if it is bent in the form of a square , then its area will be \nOptions: a ) 7744 , b ) 8844 , c ) 5544 , d ) 4444 , e ) 3444", "output": [ "a" ] }, { "id": "task1423-29b3a230db154e28905b0332fd43f3ca", "input": "Problem: a wire can be bent in the form of a circle of radius 56 cm . if it is bent in the form of a square , then its area will be ? \nOptions: ['a ) 7744', 'b ) 8844', 'c ) 5544', 'd ) 4444', 'e ) 3444']", "output": [ "a" ] }, { "id": "task1423-3fd1c21da9b04548a52c05ed800350cf", "input": "Problem: right triangle abc is to be drawn in the xy - plane so that the right angle is at a and ab is parallel to the y - axis . if the x - and y - coordinates of a , b , and c are to be integers that are consistent with the inequalities - 6 ≤ x ≤ 2 and 4 ≤ y ≤ 9 , then how many different triangles can be drawn that will meet these conditions ? \nOptions: a ) 54 , b ) 432 , c ) 2,160 , d ) 2,916 , e ) 148,824", "output": [ "c" ] }, { "id": "task1423-f4b25cf59b8948b8a45f9260f6f251d6", "input": "Problem: surface area of two spheres are in the ratio 1 : 4 what is the ratio of their volumes ? \nOptions: ['a ) 1 : 9', 'b ) 1 : 8', 'c ) 1 : 3', 'd ) 1 : 4', 'e ) 1 : 5']", "output": [ "b" ] }, { "id": "task1423-430427636e2d430a9fa845d652bee88f", "input": "Problem: one of the longest sides of the triangle is 20 m , the other side is 10 m . area of the triangle is 80 m ^ 2 . what is the another side of the triangle ? \nOptions: ['a ) 2 sqrt ( 61 )', 'b ) 2 sqrt ( 62 )', 'c ) 2 sqrt ( 63 )', 'd ) 2 sqrt ( 64 )', 'e ) 2 sqrt ( 65 )']", "output": [ "e" ] }, { "id": "task1423-598c88b5f9364e059374ceed761dfbc2", "input": "Problem: the ratio of the area of a square to that of the square drawn on its diagonal is \nOptions: a ) 1 : 2 , b ) 1 : 0 , c ) 1 : 7 , d ) 1 : 5 , e ) 1 : 6", "output": [ "a" ] }, { "id": "task1423-1f69ae38c4bf4be69b8fc9e4bb2b2d59", "input": "Problem: the perimeter of one face of a cube is 40 cm . its volume will be : \nOptions: a ) 125 cm 3 , b ) 400 cm 3 , c ) 250 cm 3 , d ) 1000 cm 3 , e ) none of these", "output": [ "d" ] }, { "id": "task1423-782edeb7172a4dddb51859479976d36b", "input": "Problem: a rectangular courty 3.78 metres long and 5.25 metres wide is to be paved exactly with square tiles , all of the same size . what is the largest size of the tile which could be used for the purpose ? \nOptions: ['a ) 14 cms', 'b ) 21 cms', 'c ) 42 cms', 'd ) none of these', 'e ) can not be determined']", "output": [ "b" ] }, { "id": "task1423-af94904c0b0a425d94e949dfeca4a135", "input": "Problem: a box has 12 shapes ; 3 circles , 5 squares , and 4 triangles . how many groups of 3 shapes can be made with at least 1 triangle ? \nOptions: ['a ) 46', 'b ) 64', 'c ) 164', 'd ) 146', 'e ) 56']", "output": [ "c" ] }, { "id": "task1423-d67117a0994a4d599cf0429318c34746", "input": "Problem: the sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 180 m , its area is ? \nOptions: a ) 90 , b ) 882 , c ) 277 , d ) 261 , e ) 281", "output": [ "a" ] }, { "id": "task1423-5c58957b6006454bb385a694421f112e", "input": "Problem: the base of a right triangle is 8 and hypotenuse is 10 . its area is ? \nOptions: ['a ) 12', 'b ) 80', 'c ) 59', 'd ) 24', 'e ) 25']", "output": [ "d" ] }, { "id": "task1423-e3e8856f4e8e43d2b2fc4216dbae8426", "input": "Problem: if paint costs $ 3.20 per quart , and a quart covers 60 square feet , how much will it cost to paint the outside of a cube 10 feet on each edge ? \nOptions: a ) $ 1.60 , b ) $ 32.00 , c ) $ 96.00 , d ) $ 108.00 , e ) $ 196.00", "output": [ "b" ] }, { "id": "task1423-2f518a24eaab4f4bb47a884179bb57fd", "input": "Problem: the area of a circular field is 17.56 hectares . find the cost of fencing it at the rate of rs . 5 per metre approximately \nOptions: a ) 4457 , b ) 4567 , c ) 4235 , d ) 4547 , e ) 7429", "output": [ "e" ] }, { "id": "task1423-3e1c4a74255c40399380df47823cf2d4", "input": "Problem: the volume of the sphere q is ( 37 / 64 ) % less than the volume of sphere p and the volume of sphere r is ( 19 / 27 ) % less than that of sphere q . by what is the surface area of sphere r less than the surface area of sphere p ? \nOptions: ['a ) 77.77 %', 'b ) 75 %', 'c ) 67.5 %', 'd ) 87.5 %', 'e ) none of these']", "output": [ "b" ] }, { "id": "task1423-db20ca8266c4461ab45652a2b027b613", "input": "Problem: the curved surface of a right circular cone of height 15 cm and base diameter 16 cm is \nOptions: ['a ) 40 ∏ cm ³', 'b ) 60 ∏ cm ³', 'c ) 136 ∏ cm ³', 'd ) 138 ∏ cm ³', 'e ) none']", "output": [ "c" ] }, { "id": "task1423-d11ad5beed7849bfb83c0dffef1f35ae", "input": "Problem: the length of a rectangular plot is thrice its width . if the area of the rectangular plot is 675 sq meters , then what is the width ( in meters ) of the rectangular plot ? \nOptions: a ) 12 , b ) 15 , c ) 18 , d ) 21 , e ) 24", "output": [ "b" ] }, { "id": "task1423-7d55cfbdf9ee471cbcadcb1c6430685c", "input": "Problem: the area of a square is equal to five times the area of a rectangle of dimensions 25 cm * 5 cm . what is the perimeter of the square ? \nOptions: a ) 100 , b ) 800 , c ) 500 , d ) 600 , e ) 700", "output": [ "a" ] }, { "id": "task1423-1f5355dbb2c245f78c238b24c611a682", "input": "Problem: if length of rectangle is increased by 10 % , and breadth is decreased by 10 % . what will it effect on area of rectangle ? \nOptions: ['a ) it will have no effect', 'b ) 1 % increase', 'c ) 1 % decrease', 'd ) 2 % increase', 'e ) 2 % decrease']", "output": [ "c" ] }, { "id": "task1423-8d61a272df384a3aa281c55536fdef19", "input": "Problem: a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 256 sq . feet , how many feet of fencing will be required ? \nOptions: a ) 45.6 , b ) 40 , c ) 68 , d ) 88 , e ) 92", "output": [ "a" ] }, { "id": "task1423-961ed0547a69465eb890bd695711b0b5", "input": "Problem: the area of a rectangular plot is 18 times its breadth . if the difference between the length and the breadth is 10 metres , what is its breadth ? \nOptions: a ) 10 metres , b ) 8 metres , c ) 7.5 metres , d ) data inadequate , e ) none of these", "output": [ "b" ] }, { "id": "task1423-5257329f349e46959718f347224ad80c", "input": "Problem: the surface of a cube is 150 sq cm . find its volume ? \nOptions: a ) 8 cc , b ) 9 cc , c ) 125 cc , d ) 4 cc , e ) 6 cc", "output": [ "c" ] }, { "id": "task1423-2531e72bd0834b7fbf7d677226254c84", "input": "Problem: in a rectangular coordinate system , what is the area of a triangle whose vertices have the coordinates ( - 1 , 0 ) , ( 7 , 4 ) , and ( 7 , - 4 ) ? \nOptions: ['a ) 29', 'b ) 30', 'c ) 31', 'd ) 32', 'e ) 33']", "output": [ "d" ] }, { "id": "task1423-2896e742cfc14dfbbde397d39b78ea33", "input": "Problem: cubes with each side one inch long are glued together to form a larger cube . the larger cube ' s face is painted with red color and the entire assembly is taken apart . 22 small cubes are found with no paints on them . how many of unit cubes have at least one face that is painted red ? \nOptions: a ) 64 , b ) 72 , c ) 86 , d ) 98 , e ) 103", "output": [ "e" ] }, { "id": "task1423-492841dfcd584534a78876899c37d897", "input": "Problem: how many internal diagonals does a hexagon ( 6 sided polygon ) have ? \nOptions: a ) 5 , b ) 6 , c ) 8 , d ) 9 , e ) 10", "output": [ "d" ] }, { "id": "task1423-c270a2c888024133811ec66979518e89", "input": "Problem: what is the area of a square field whose diagonal of length 20 m ? \nOptions: ['a ) 288', 'b ) 289', 'c ) 200', 'd ) 112', 'e ) 178']", "output": [ "c" ] }, { "id": "task1423-d77eb059cff74d48af134db28c2e4cc5", "input": "Problem: the radius of a semicircular plot is 25 . what is the approximate perimeter of the plot ? \nOptions: ['a ) 114', 'b ) 150', 'c ) 129', 'd ) 25', 'e ) 57']", "output": [ "c" ] }, { "id": "task1423-27f0f5395e9d44c4bbe7c40c26be0e27", "input": "Problem: what is the equation of a circle of radius 5 units centered at ( 3 , 2 ) ? \nOptions: ['a ) x ^ 2 + y ^ 2 + 6 x – 4 y = 23', 'b ) x ^ 2 + y ^ 2 - 6 x + 4 y = 23', 'c ) x ^ 2 + y ^ 2 + 6 x + 4 y = 23', 'd ) x ^ 2 + y ^ 2 - 6 x – 4 y = - 12', 'e ) x ^ 2 + y ^ 2 - 6 x – 4 y = 12']", "output": [ "e" ] }, { "id": "task1423-8936d53cef6346feaf95529d24518541", "input": "Problem: the area of a triangle is with base 12 m and height 5 m ? \nOptions: a ) 88 m 2 , b ) 30 m 2 , c ) 66 m 2 , d ) 77 m 2 , e ) 31 m 2", "output": [ "b" ] }, { "id": "task1423-c0c057becb874f779bde3d519d5da2d5", "input": "Problem: find the area of the quadrilateral of one of its diagonals is 10 cm and its off sets 7 cm and 3 cm ? \nOptions: a ) 50 cm 2 , b ) 100 cm 2 , c ) 150 cm 2 , d ) 200 cm 2 , e ) 250 cm 2", "output": [ "a" ] }, { "id": "task1423-707f3d5aad0840b4ac407a811c06b397", "input": "Problem: the volume of a cube is 1331 cc . find its surface . \nOptions: a ) 864 , b ) 726 , c ) 255 , d ) 287 , e ) 267", "output": [ "b" ] }, { "id": "task1423-18085063cacc4616a16905931d86c6aa", "input": "Problem: the sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 360 m , its area is ? \nOptions: a ) 180 , b ) 882 , c ) 277 , d ) 261 , e ) 281", "output": [ "a" ] }, { "id": "task1423-28a5470b982c430cbb6d7da02695b1b2", "input": "Problem: if the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm , a square with the same area as the original rectangle would result . find the perimeter of the original rectangle . \nOptions: ['a ) 40 cm', 'b ) 45 cm', 'c ) 50 cm', 'd ) 52 cm', 'e ) 57 cm']", "output": [ "c" ] }, { "id": "task1423-68b043a9470c46e0bd13805f8983a658", "input": "Problem: the area of sector of a circle whose radius is 15 metro and whose angle at the center is 42 â ° is ? \nOptions: a ) 52.6 , b ) 52.9 , c ) 52.8 , d ) 52.1 , e ) 82.5", "output": [ "e" ] }, { "id": "task1423-f21a8f9111f3444b92f174c38082c7cc", "input": "Problem: what is the max number of rectangular boxes , each measuring 5 inches by 2 inches by 7 inches , that can be packed into a rectangular packing box measuring 15 inches by 20 inches by 35 inches , if all boxes are aligned in the same direction ? \nOptions: a ) 200 , b ) 350 , c ) 100 , d ) 150 , e ) 120", "output": [ "d" ] }, { "id": "task1423-661b02618de849fcb285c5f4fa16c9b1", "input": "Problem: the cost of the paint is rs . 50 per kg . if 1 kg of paint covers 20 sq . ft , how much will it cost to paint outside of a cube having 20 feet each side \nOptions: a ) rs . 962 , b ) rs . 6000 , c ) rs . 546 , d ) rs . 876 , e ) none of these", "output": [ "b" ] }, { "id": "task1423-84b7c6ea82ee43ee88a17cc101ad9cdd", "input": "Problem: what is the ratio between perimeters of two squares one having 4 times the diagonal then the other ? \nOptions: a ) 3 : 8 , b ) 3 : 6 , c ) 3 : 7 , d ) 4 : 1 , e ) 3 : 3", "output": [ "d" ] }, { "id": "task1423-d683c649776e427a924c8e9652c61838", "input": "Problem: consider a square of diagonal length d . let another square be formed with d as its side . find the ratio of the area of the bigger square to that of the smaller square . \nOptions: ['a ) 2', 'b ) 3', 'c ) 4', 'd ) 16', 'e ) 41']", "output": [ "a" ] }, { "id": "task1423-d81f6c816ceb4f0ba9c8aa1f4157e328", "input": "Problem: find the area of a parallelogram with base 12 cm and height 10 cm ? \nOptions: a ) 297 cm 2 , b ) 384 cm 2 , c ) 120 cm 2 , d ) 267 cm 2 , e ) 186 cm 2", "output": [ "c" ] }, { "id": "task1423-ce7e05d2162f4181a7f8745a912a50c8", "input": "Problem: find the area of circle whose radius is 7 m ? \nOptions: ['a ) 121 sq m', 'b ) 184 sq m', 'c ) 174 sq m', 'd ) 124 sq m', 'e ) 154 sq m']", "output": [ "e" ] }, { "id": "task1423-5ad9f3e174484abe932ee0e09bfa3cb6", "input": "Problem: what is the perimeter of a square with area p ^ 2 / 16 ? \nOptions: ['a ) 3 p / 4', 'b ) 3 p ^ 2 / 4', 'c ) p', 'd ) 3 p ^ 2', 'e ) 4 p / 3']", "output": [ "c" ] }, { "id": "task1423-788acc8ca8f2422987fd764b9e6948c2", "input": "Problem: the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 6 cm each . the radius of the sphere is \nOptions: a ) 3 cm , b ) 4 cm , c ) 6 cm , d ) 8 cm , e ) none", "output": [ "a" ] }, { "id": "task1423-66f31b759bd04eb3b14ed30a0a4481ee", "input": "Problem: in a rectangular coordinate system , what is the area of a rectangle whose vertices have the coordinates ( - 5 , 1 ) , ( 1 , 1 ) , ( 1 , - 4 ) and ( - 5 , - 4 ) ? \nOptions: ['a ) 20', 'b ) 30', 'c ) 40', 'd ) 55', 'e ) 48']", "output": [ "b" ] }, { "id": "task1423-8d9efcf795634b29be7c595c82e4dae0", "input": "Problem: in a rectangular axis system , what is the area of a parallelogram with the coordinates : ( 5,7 ) , ( 12,7 ) , ( 2,3 ) , ( 9,3 ) ? \nOptions: a ) 21 , b ) 28 . , c ) 35 . , d ) 49 . , e ) 52 .", "output": [ "a" ] }, { "id": "task1423-cd51f315a6e24d6494d74d3fe7a604eb", "input": "Problem: a rectangular floor that measures 6 meters by 10 meters is to be covered with carpet squares that each measure 2 meters by 2 meters . if the carpet squares cost $ 15 apiece , what is the total cost for the number of carpet squares needed to cover the floor ? \nOptions: a ) $ 200 , b ) $ 240 , c ) $ 480 , d ) $ 225 , e ) $ 1,920", "output": [ "d" ] }, { "id": "task1423-300f0924a86644edb5a5a10f1654396a", "input": "Problem: what is the perimeter of a rectangular field whose diagonal is 5 m and length is 4 m ? \nOptions: a ) 20 m , b ) 15 m , c ) 14 m , d ) 10 m , e ) 25 m", "output": [ "c" ] }, { "id": "task1423-b17b9011c13d4c45895501c30c3f97e4", "input": "Problem: twenty - one dots are evenly spaced on the circumference of a circle . how many combinations of three dots can we make from these 21 dots that do not form an equilateral triangle ? \nOptions: ['a ) 1299', 'b ) 1305', 'c ) 1311', 'd ) 1317', 'e ) 1323']", "output": [ "e" ] }, { "id": "task1423-e8daab27576f4ecb8694952c45ec3941", "input": "Problem: the mass of 1 cubic meter of a substance is 500 kg under certain conditions . what is the volume in cubic centimeters of 1 gram of this substance under these conditions ? ( 1 kg = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters ) \nOptions: a ) 0.1 , b ) 0 , c ) 1 , d ) 2 , e ) 3", "output": [ "d" ] }, { "id": "task1423-690f4ea462bc4d6485140cc24804bff9", "input": "Problem: if the length of the sides of two cubes are in the ratio 2 : 1 , what is the ratio of their total surface area ? \nOptions: a ) 2 : 1 , b ) 3 : 1 , c ) 4 : 1 , d ) 6 : 1 , e ) 8 : 1", "output": [ "c" ] }, { "id": "task1423-381d161a4f554c58ae724f01171ecd2b", "input": "Problem: the perimeter of one face of a cube is 28 cm . its volume will be : \nOptions: a ) 125 cm 3 , b ) 343 cm 3 , c ) 250 cm 3 , d ) 625 cm 3 , e ) none of these", "output": [ "b" ] }, { "id": "task1423-f3a13d9fcdcc48619d4b49b1f071961a", "input": "Problem: the measurement of a rectangular box with lid is 50 cmx 30 cmx 38 cm . find the volume of the largest sphere that can be inscribed in the box ( in terms of π cm 3 ) . ( hint : the lowest measure of rectangular box represents the diameter of the largest sphere ) \nOptions: a ) 288 , b ) 4500 , c ) 7200 , d ) 864 , e ) 9640", "output": [ "b" ] }, { "id": "task1423-010819c4221f45699fbcdfafea5448c1", "input": "Problem: what will be the cost of building a fence around a square plot with area equal to 289 sq ft , if the price per foot of building the fence is rs . 58 ? \nOptions: ['a ) rs . 3944', 'b ) rs . 3942', 'c ) rs . 3987', 'd ) rs . 3929', 'e ) rs . 3938']", "output": [ "a" ] }, { "id": "task1423-fb94dd0e0e9b49088103c6c755ac3576", "input": "Problem: a rectangular mat has an area of 120 sq . metres and perimeter of 46 m . the length of its diagonal is : \nOptions: ['a ) 19 m', 'b ) 17 m', 'c ) 15 m', 'd ) 16 m', 'e ) 20 m']", "output": [ "b" ] }, { "id": "task1423-8d3b504032394d93b2e87e4f6f595583", "input": "Problem: the parameter of a square is equal to the perimeter of a rectangle of length 9 cm and breadth 6 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) ? \nOptions: a ) 11.72 , b ) 11.52 , c ) 11.97 , d ) 10.91 , e ) 11.79", "output": [ "e" ] }, { "id": "task1423-965770ef2e9a427aaf55e611fe58d0ff", "input": "Problem: a rectangular tiled patio is composed of 50 square tiles . the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles . after the change in layout , the patio will still have 50 tiles , and it will still be rectangular . how many rows are in the tile patio before the change in layout ? \nOptions: a ) 5 , b ) 6 , c ) 10 , d ) 13 , e ) 28", "output": [ "b" ] }, { "id": "task1423-ff3e0b4064a44f23a383ba8a0086cb85", "input": "Problem: mr . loyd wants to fence his square shaped land of 130 sqft each side . if a pole is laid every 10 ft how many poles do he need ? \nOptions: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 52", "output": [ "e" ] }, { "id": "task1423-29b0593e6b0a4173af81579fad483b52", "input": "Problem: rectangular tile each of size 50 cm by 40 cm must be laid horizontally on a rectangular floor of size 120 cm by 150 cm , such that the tiles do not overlap and they are placed with edges jutting against each other on all edges . a tile can be placed in any orientation so long as its edges are parallel to the edges of floor . no tile should overshoot any edge of the floor . the maximum number of tiles that can be accommodated on the floor is : \nOptions: a ) 9 , b ) 15 , c ) 12 , d ) 11 , e ) 10", "output": [ "a" ] }, { "id": "task1423-13fab0c39f0d49d19a5a746ff18062b4", "input": "Problem: the width of a rectangular hall is ½ of its length . if the area of the hall is 128 sq . m , what is the difference between its length and breadth ? \nOptions: a ) 8 m , b ) 10 m , c ) 12 m , d ) 15 m , e ) 17 m", "output": [ "a" ] }, { "id": "task1423-2440ce1676144cceac8908baa574f6b2", "input": "Problem: in the xy - plane , a triangle has vertices ( 00 ) , ( 40 ) and ( 410 ) . if a point ( a , b ) is selected at random from the triangular region , what is the probability that a - b > 0 ? \nOptions: a ) 1 / 5 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 2 / 5", "output": [ "e" ] }, { "id": "task1423-3955e5fece224b0b8ebe1046425db53b", "input": "Problem: the circumferences of two circles are 264 meters and 352 meters . find the difference between the areas of the larger and the smaller circles . \nOptions: a ) 3312 , b ) 2888 , c ) 4312 , d ) 2881 , e ) 1221", "output": [ "c" ] }, { "id": "task1423-2cc1e43c758a4b049bf234939b849f26", "input": "Problem: if the area of a circle decreases by 36 % , then the radius of a circle decreases by \nOptions: a ) 20 % , b ) 18 % , c ) 36 % , d ) 64 % , e ) none of these", "output": [ "a" ] }, { "id": "task1423-0a395d1a4a67442483633ed1b88bccdb", "input": "Problem: what is the measure of the radius of the circle inscribed in a triangle whose sides measure 8 , 15 and 21 units ? \nOptions: a ) 8.5 units , b ) 2.6 units , c ) 3 units , d ) 5 units , e ) 12 units", "output": [ "b" ] }, { "id": "task1423-0973d9ab158b40049af1ee2ef068e9b1", "input": "Problem: the pressure someone experiences as he or she dives deeper and deeper in the ocean increases linearly . on the surface , the pressure is close to 15 pounds per square inch . 33 feet below the surface , the pressure is 30 pounds . if 25000 pounds per sq inch can crush your bones , what depth is extremely dangerous for humans ? \nOptions: ['a ) 55522 feet', 'b ) 45522 feet', 'c ) 35522 feet', 'd ) 25522 feet', 'e ) none']", "output": [ "a" ] }, { "id": "task1423-0d5cdcaf1c2144d182affdceaaf1eb85", "input": "Problem: 34 . the side surface of a cylinder is rolled with a rectangular plate . if the height of a cylinder tank is 10 feet and the perimeter of the circular base is 4 feet , what is the area of the rectangular plate ? \nOptions: a ) 24 , b ) 34 , c ) 28 , d ) 40 , e ) 14", "output": [ "d" ] }, { "id": "task1423-3f35bb0815b74117ad38bac94140f2ee", "input": "Problem: you buy a piece of land with an area of â ˆ š 1600 , how long is one side of the land plot ? \nOptions: a ) 28 , b ) 40 , c ) 30 , d ) 31 , e ) 32", "output": [ "b" ] }, { "id": "task1423-eb756bb5e9b1476f9b7397a4e8aaf232", "input": "Problem: in a certain parallelogram the degree measure of one angle exceeds that of the other by 10 what is the degree measure of the smaller angle ? \nOptions: a ) 75 , b ) 80 , c ) 85 , d ) 90 , e ) 95", "output": [ "c" ] }, { "id": "task1423-d4eb347813ac4081bbcb0af3a49f918c", "input": "Problem: the area of the maximum size of the circle described from the 10 inch square ? \nOptions: ['a ) 75.5 sq inch', 'b ) 76.5 sq inch', 'c ) 77.5 sq inch', 'd ) 78.5 sq inch', 'e ) 79.5 sq inch']", "output": [ "d" ] }, { "id": "task1423-9213cb8f97f74728a8017b891b4cdc1c", "input": "Problem: a 9 by 12 rectangle is inscribed in circle . what is the circumference of the circle ? \nOptions: a ) 2.5 π , b ) 5 π , c ) 10 π , d ) 12.5 π , e ) 15 π", "output": [ "e" ] }, { "id": "task1423-85392c4ff4144fe08fe1ee12a95098dc", "input": "Problem: the length of each side of square a is increased by 100 percent to make square b . if the length of the side of square b is increased by 75 percent to make square c , by what percent is the area of square c greater than the sum of the areas of squares a and b ? \nOptions: a ) 75 % , b ) 80 % , c ) 145 % , d ) 150 % , e ) 180 %", "output": [ "c" ] }, { "id": "task1423-e03e5af60ea1426a9abee403e867305c", "input": "Problem: the ratio of the volumes of two cubes is 9261 : 12167 . what is the ratio of their total surface areas ? \nOptions: a ) 1 : 12 , b ) 85 : 31 , c ) 51 : 45 , d ) 58 : 67 , e ) 53 : 58", "output": [ "e" ] }, { "id": "task1423-dc273f03645f4deca4243433aadf1f02", "input": "Problem: the size of a flat - screen television is given as the length of the screen ’ s diagonal . how many square inches greater is the screen of a square 21 - inch flat - screen television than a square 19 - inch flat - screen television ? \nOptions: a ) 42 , b ) 40 , c ) 38 , d ) 36 , e ) 48", "output": [ "b" ] }, { "id": "task1423-ec2f9d2a118d442c9ef7a3ba1eff3555", "input": "Problem: paper charge is rs . 60 per kg . how much expenditure would be there to cover a cube of edge 10 m with a paper , if one kg of paper covers 20 sq . m . area ? \nOptions: ['a ) rs . 2250', 'b ) rs . 3600', 'c ) rs . 2700', 'd ) rs . 1800', 'e ) none of these']", "output": [ "d" ] }, { "id": "task1423-b96146aaca704a029f2eda9c32b9d501", "input": "Problem: the surface area of a sphere is 4 π r ^ 2 , where r is the radius of the sphere . if the surface area of sphere a is eight times as large as the surface area of sphere b , then the radius of sphere a is how many times the radius of sphere b ? \nOptions: ['a ) 2', 'b ) 2 √ 2', 'c ) 4', 'd ) 2 π', 'e ) π · √ 8']", "output": [ "b" ] }, { "id": "task1423-0e2330f421f84c88851b480f0e50bc12", "input": "Problem: a rectangular block 10 cm by 20 cm by 35 cm is cut into an exact number of equal cubes . find the least possible number of cubes ? \nOptions: a ) 6 , b ) 56 , c ) 15 , d ) 40 , e ) 22", "output": [ "b" ] }, { "id": "task1423-10ff042760b64ceba6052f647236eb4a", "input": "Problem: a room is a square of side 50 feet . a second room is of area 100 square yards . a third room is of area 200 square feet . which of these can seat maximum people ? ( hint : 1 yard = 3 feet ) \nOptions: a ) 200 sq feet , b ) 300 sq feet , c ) 400 sq feet , d ) 500 sq feet , e ) 600 sq feet", "output": [ "a" ] }, { "id": "task1423-9c7215dd5bd14d30b4f52d3b4cc2c287", "input": "Problem: a cube has a volume of 216 cubic feet . if a similar cube is twice as long , twice as wide , and twice as high , then the volume , in cubic feet of such cube is ? \nOptions: a ) 24 , b ) 1728 , c ) 64 , d ) 80 , e ) 100", "output": [ "b" ] }, { "id": "task1423-c8919f89c31a45f5a9f989624ea9c6b8", "input": "Problem: the number 110 can be written as sum of the squares of 3 different positive integers . what is the sum of these 3 different integers ? \nOptions: a ) 10 , b ) 12 , c ) 18 , d ) 14 , e ) 17", "output": [ "c" ] }, { "id": "task1423-df58e30d49364dd5b442e91b44c6c4ae", "input": "Problem: the radius of a sphere is increased by 10 % . the surface area increases by ? \nOptions: ['a ) 21 %', 'b ) 31 %', 'c ) 41 %', 'd ) 51 %', 'e ) none of these']", "output": [ "a" ] }, { "id": "task1423-5a9cef136f244900a3c4921440eecd25", "input": "Problem: in a rectangular coordinate system , what is the area of a rectangle whose vertices have the coordinates ( - 8 , 1 ) , ( 1 , 1 ) , ( 1 , - 7 and ( - 8 , - 7 ) ? \nOptions: a ) 144 , b ) 36 , c ) 72 , d ) 56 , e ) 112", "output": [ "c" ] }, { "id": "task1423-5eeec0efa13b4f57926621b6ea34c48c", "input": "Problem: the length and the breadth of a rectangle are in the ratio of 3 : 2 respectively . if the sides of the rectangle are extended on each side by 1 metre , the ratio of length to breadth becomes 10 : 7 . find the area of the original rectangle in square metres . \nOptions: ['a ) 256', 'b ) 150', 'c ) 280', 'd ) data inadequate', 'e ) none of these']", "output": [ "e" ] }, { "id": "task1423-d61c55484d8745c69f3002cae4665e4b", "input": "Problem: a rectangular tank needs to be coated with insulation . the tank has dimensions of 4 feet , 5 feet , and 3 feet . each square foot of insulation costs $ 20 . how much will it cost to cover the surface of the tank with insulation ? \nOptions: a ) $ 1220 , b ) $ 1330 , c ) $ 1550 , d ) $ 1770 , e ) $ 1880", "output": [ "e" ] }, { "id": "task1423-81eeab0b781e4717b0006b9f2fa9e411", "input": "Problem: the largest four - digit number which is a perfect cube , is \nOptions: ['a ) 8000', 'b ) 9261', 'c ) 9999', 'd ) none of these', 'e ) can not be determined']", "output": [ "b" ] }, { "id": "task1423-c627e20794e942ee9ca30b38c4cbcd5e", "input": "Problem: the radius of a cone is 49 m , slant height is 35 m . find the curved surface area ? \nOptions: a ) 5160 , b ) 5390 , c ) 6430 , d ) 6720 , e ) 7280", "output": [ "b" ] }, { "id": "task1423-a771dd41e2f94a868ff6d5f743a7a4f6", "input": "Problem: the area of a square garden is a square feet and the perimeter is p feet . if a = 2 p + 20 , what is the perimeter of the garden , in feet ? \nOptions: a ) 28 , b ) 36 , c ) 40 , d ) 56 , e ) 64", "output": [ "c" ] }, { "id": "task1423-0e54d2afc0114a06ad372087729d74b9", "input": "Problem: a 25 cm wide path is to be made around a circular garden having a diameter of 4 meters . approximate area of the path is square meters is \nOptions: ['a ) 3.34', 'b ) 3.36', 'c ) 3.34', 'd ) 6.32', 'e ) 3.31']", "output": [ "a" ] }, { "id": "task1423-676cae21836f409babb74222391eddee", "input": "Problem: the area of a circular field is 17.56 hectares . find the cost of fencing it at the rate of rs . 3 per metre approximately \nOptions: ['a ) 4457', 'b ) 4567', 'c ) 4235', 'd ) 4547', 'e ) 4675']", "output": [ "a" ] }, { "id": "task1423-63020b0e436a437d94404d75106c7acf", "input": "Problem: what is the area of a square field whose diagonal of length 10 m ? \nOptions: a ) 50 , b ) 70 , c ) 60 , d ) 20 , e ) 25", "output": [ "a" ] }, { "id": "task1423-1abaacb2c52d4ebdb4c2edb5b1d6cb06", "input": "Problem: a semicircle has a radius of 20 . what is the approximate perimeter of the semicircle ? \nOptions: a ) 50 , b ) 25 , c ) 86 , d ) 75 , e ) 102", "output": [ "e" ] }, { "id": "task1423-b450f384fea84843a788fdfd0c73d5db", "input": "Problem: mark has a rectangular driveway with a line painted diagonally across . the length of the driveway is 5 feet longer than its width . if the total area of the driveway is 36 square feet , what is the length of the painted line ( in feet ) ? \nOptions: ['a ) between 9 and 10', 'b ) between 10 and 11', 'c ) between 11 and 12', 'd ) between 12 and 13', 'e ) between 13 and 14']", "output": [ "a" ] }, { "id": "task1423-d241d722ea28403088f25b0add205009", "input": "Problem: if the sides of a triangle are 28 cm , 26 cm and 12 cm , what is its area ? \nOptions: a ) 120 cm 2 , b ) 156 cm 2 , c ) 178 cm 2 , d ) 189 cm 2 , e ) 176 cm 2", "output": [ "b" ] }, { "id": "task1423-7fd4a898db7e4ccd8782be70a511e9a7", "input": "Problem: an order was placed for a carpet whose length and width were in the ratio of 3 : 2 . subsequently , the dimensions of the carpet were altered such that its length and width were in the ratio 3 : 1 but were was no change in its perimeter . what is the ratio of the areas of the carpets ? \nOptions: a ) 12 : 7 , b ) 15 : 11 , c ) 25 : 16 , d ) 30 : 23 , e ) 32 : 25", "output": [ "e" ] }, { "id": "task1423-3def5c97e4ef4c968d7b30ed3ae17158", "input": "Problem: a horse is tethered to one corner of a rectangular grassy field 36 m by 20 m with a rope 18 m long . over how much area of the field can it graze ? \nOptions: a ) 154 cm 2 , b ) 308 m 2 , c ) 254 m 2 , d ) 260 m 2 , e ) none of these", "output": [ "c" ] }, { "id": "task1423-b0332a431121495e8d1d010c93665ce3", "input": "Problem: in a rectangular axis system , what is the area of a parallelogram with the coordinates : ( 4,4 ) , ( 7,4 ) , ( 5,9 ) , ( 8,9 ) ? \nOptions: ['a ) 21 .', 'b ) 28 .', 'c ) 5 .', 'd ) 49 .', 'e ) 52 .']", "output": [ "c" ] }, { "id": "task1423-3069112722bf4ebeb33d0c4619531c89", "input": "Problem: the length of a rectangular garden is three times its width . if the area of the rectangular garden is 675 square meters , then what is the width of the rectangular garden ? \nOptions: a ) 14 , b ) 15 , c ) 16 , d ) 17 , e ) 18", "output": [ "b" ] }, { "id": "task1423-5f01850eb9bb4142994fdc68fe2c89ce", "input": "Problem: if d is the smallest positive integer such that 3,150 multiplied by d is the square of an integer , then d must be \nOptions: ['a ) 2', 'b ) 5', 'c ) 6', 'd ) 7', 'e ) 14']", "output": [ "e" ] }, { "id": "task1423-3c5c4790375744cbaa6cb34b3e5785ee", "input": "Problem: if the diameter of circle r is 40 % of the diameter of circle s , the area of circle r is what percent of the area of circle s ? \nOptions: a ) 16 % , b ) 18 % , c ) 20 % , d ) 22 % , e ) 24 %", "output": [ "a" ] }, { "id": "task1423-b5c9440f5f0548818cad82fe22410212", "input": "Problem: find the area of a parallelogram with base 36 cm and height 18 cm ? \nOptions: a ) 287 cm 2 , b ) 887 cm 2 , c ) 384 cm 2 , d ) 268 cm 2 , e ) 648 cm 2", "output": [ "e" ] }, { "id": "task1423-059bbca82bc543c0b6025322fcde73cb", "input": "Problem: in an electric circuit , two resistors with resistances 3 ohm and 5 ohm are connected in parallel . in this case , if r is the combined resistance of these two resistors , then the reciprocal of r is equal to the sum of the reciprocals of two resistors . what is the value ? \nOptions: ['a ) 15 ohms', 'b ) 15 / 8 ohms', 'c ) 1 / 8 ohms', 'd ) 8 / 15 ohms', 'e ) 8 ohms']", "output": [ "b" ] }, { "id": "task1423-6a808514b076485f8fed84ac89b1cd25", "input": "Problem: a rectangle a has an area of 30 square centimeters . square b has a perimeter of 16 centimeters . if square b is placed within square a and a random point is chosen within square a , what is the probability the point is not within square b ? \nOptions: ['a ) 9 / 30', 'b ) 14 / 30', 'c ) 4 / 9', 'd ) 3 / 5', 'e ) 6 / 25']", "output": [ "b" ] }, { "id": "task1423-665a838c9a67435ead14ea6fb570ef1e", "input": "Problem: pr is tangent to a circle at point p . q is another point on circle such that pq is diameter of circle and rq cuts circle at m . if radius of circle is 4 units and pr = 6 units . find ratio of triangle pmr to pqr . \nOptions: ['a ) 11 / 20', 'b ) 3 / 5', 'c ) 13 / 20', 'd ) 18 / 25', 'e ) 18 / 26']", "output": [ "c" ] }, { "id": "task1423-475d85e566ba4c86b92ccaefafa68945", "input": "Problem: the ratio of the volumes of two cubes is 1728 : 2197 . what is the ratio of their total surface areas ? \nOptions: a ) 12 : 18 , b ) 144 : 169 , c ) 44 : 22 , d ) 28 : 144 , e ) 96 : 12", "output": [ "b" ] }, { "id": "task1423-39e888067ed64ef8b1c53806fff208fb", "input": "Problem: in a rectangular coordinate system , what is the area of a rectangle whose vertices have the coordinates ( - 3 , 1 ) , ( 1 , 1 ) , ( 1 , - 2 ) and ( - 3 , - 2 ) ? \nOptions: a ) 12 , b ) 24 , c ) 20 , d ) 30 , e ) 36", "output": [ "a" ] }, { "id": "task1423-2e91f2408b6041838a58aec1ef6aadd2", "input": "Problem: a rectangular region has a fence along three sides and a wall along the fourth side . the fenced side opposite the wall is twice the length of each of the other two fenced sides . if the area of the rectangular region is 200 square feet , what is the total length of the fence , in feet ? \nOptions: ['a ) 10', 'b ) 20', 'c ) 30', 'd ) 40', 'e ) 80']", "output": [ "d" ] }, { "id": "task1423-a2fea4a3f10d48b6ab0721f7a2ecb0d8", "input": "Problem: the length of a rectangle is 2 times its width . if the width of the rectangle is 5 inches , what is the rectangle ' s area , in square inches ? \nOptions: ['a ) 50 square inches', 'b ) 75 square inches', 'c ) 68 square inches', 'd ) 89 square inches', 'e ) 92 square inches']", "output": [ "a" ] }, { "id": "task1423-ba01298b3abf4d91a40c0796d091b97a", "input": "Problem: what is the ratio between perimeters of two squares one having 8 times the diagonal then the other ? \nOptions: a ) 3 : 6 , b ) 3 : 3 , c ) 3 : 8 , d ) 8 : 1 , e ) 3 : 2", "output": [ "d" ] }, { "id": "task1423-908ddb93071d4627a398d4f80e779852", "input": "Problem: one side of a rectangle is 3 cm shorter than the other side . if we increase the length of each side by 1 cm , then the area of the rectangle will increase by 16 cm 2 . find the lengths of all sides . \nOptions: a ) 10 and 3 , b ) 9 and 6 , c ) 10 and 7 , d ) 3 and 10 , e ) 10 and 10", "output": [ "b" ] }, { "id": "task1423-c5a625f94d4c4714aca1ef7896b1ba47", "input": "Problem: if the diameter of circle r is 20 % of the diameter of circle s , the area of circle r is what percent of the area of circle s ? \nOptions: a ) 5 % , b ) 10 % , c ) 15 % , d ) 14 % , e ) 4 %", "output": [ "e" ] }, { "id": "task1423-3d1dde284f654269ad047fbf5671be8c", "input": "Problem: the area of a circular field is 13.86 hectares . find the cost of fencing it at the rate of rs . 4.80 per metre . \nOptions: a ) 2399 , b ) 6336 , c ) 2999 , d ) 5808 , e ) 2888", "output": [ "b" ] }, { "id": "task1423-be398568daaa4d95a26da8f962ca3126", "input": "Problem: a metallic sheet is of rectangular shape with dimensions 48 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m 3 ) is \nOptions: a ) 3220 , b ) 4830 , c ) 5120 , d ) 6420 , e ) none", "output": [ "c" ] }, { "id": "task1423-dfdb4dc9edae44ca9cc06a1783821ed3", "input": "Problem: the perimeter of a rectangle is equal to 280 meters . the ratio of its length to its width is 5 : 2 . find the area of the rectangle . \nOptions: ['a ) 400 square meters', 'b ) 4000 square meters', 'c ) 20 square meters', 'd ) 2000 square meters', 'e ) 1000 square meters']", "output": [ "b" ] }, { "id": "task1423-cfec61576f6e4eb891d5a4ff869bb5c1", "input": "Problem: the area of a triangle is with base 5.5 m and height 6 m ? \nOptions: a ) 11 m 2 , b ) 16.5 m 2 , c ) 18.5 m 2 , d ) 19.5 m 2 , e ) 12 m 2", "output": [ "b" ] }, { "id": "task1423-4ff51709a47d44ecb6661032a4660402", "input": "Problem: a rectangular field has a length 10 meters more than it is width . if the area of the field is 231 , what is the length ( in meters ) of the rectangular field ? \nOptions: a ) 21 , b ) 23 , c ) 25 , d ) 27 , e ) 29", "output": [ "a" ] }, { "id": "task1423-39850ddf44a847d0a348a437c8d2b172", "input": "Problem: the curved surface area of a cylindrical pillar is 264 sq . m and its volume is 924 cub . m . find the ratio of its diameter to its height \nOptions: ['a ) 7 : 9', 'b ) 7 : 3', 'c ) 7 : 7', 'd ) 7 : 6', 'e ) 7 : 1']", "output": [ "b" ] }, { "id": "task1423-20523aaea13044e4adc5039defff86e2", "input": "Problem: what will be the cost of building a fence around a square plot with area equal to 289 sq ft , if the price per foot of building the fence is rs . 57 ? \nOptions: a ) 3944 , b ) 920 , c ) 7290 , d ) 3876 , e ) 3729", "output": [ "d" ] }, { "id": "task1423-9c726fd935b54d7e95ef046b9b6e5cc5", "input": "Problem: the area of a triangle will be when a = 5 m , b = 7 m , c = 8 m , a , b , c being lengths of respective sides ? \nOptions: a ) 3 , b ) 6 , c ) 4 , d ) 9 , e ) 10", "output": [ "e" ] }, { "id": "task1423-5f6d6e4655de47f8894b9c84f0a5a49e", "input": "Problem: points a , b , and , c have xy - coordinates ( 2,0 ) , ( 8,12 ) , and ( 14,0 ) , respectively . points x , y , and z have xy - coordinates ( 6,0 ) , ( 8,4 ) , and ( 10,0 ) , respectively . what fraction w of the area of triangle abc is the area of triangle xyz ? \nOptions: a ) 1 / 9 , b ) 1 / 8 , c ) 1 / 6 , d ) 1 / 5 , e ) 1 / 3", "output": [ "a" ] }, { "id": "task1423-2855554a2ffe4520a402a61cd4637ea1", "input": "Problem: what is the smallest positive integer x such that 108 x is the cube of a positive integer ? \nOptions: a ) 2 , b ) 4 , c ) 8 , d ) 10 , e ) 7", "output": [ "a" ] }, { "id": "task1423-233c1a47a6e643f8ab3bd67abf433b77", "input": "Problem: what is the diagonal of a square field whose perimeter is 64 m ? \nOptions: a ) 15 m , b ) 16 √ 2 m , c ) 20 m , d ) 25 m , e ) 18 m", "output": [ "b" ] }, { "id": "task1423-1a7405d49d6449c49a6618a6cb6d724d", "input": "Problem: the length and breadth of a rectangle is increased by 11 % and 22 % respectively . what is the increase in the area ? \nOptions: a ) 35.22 , b ) 33.52 , c ) 35.42 , d ) 36.22 , e ) 38.42", "output": [ "c" ] }, { "id": "task1423-20673ce933d54bfa99f14c80b2e86db9", "input": "Problem: a rectangular plot 15 m × 10 m , has a path of grass outside it . if the area of grassy pathway is 54 m 2 , find the width of the path . \nOptions: ['a ) 4 m', 'b ) 3 m', 'c ) 2 m', 'd ) 1 m', 'e ) none of these']", "output": [ "c" ] }, { "id": "task1423-1e40dc2c63ee4565acd2e3913a9ed879", "input": "Problem: the area of a square field is 7201 sq m . how long will a lady take to cross the field diagonally at the rate of 2.4 km / hr ? \nOptions: ['a ) 2 min', 'b ) 3 min', 'c ) 4 min', 'd ) 5 min', 'e ) 6 min']", "output": [ "b" ] }, { "id": "task1423-3aa9c7b6590347b08f4dcd71d155d975", "input": "Problem: what is the smallest number by which 3600 be divided to make it a perfect cube ? \nOptions: ['a ) 9', 'b ) 50', 'c ) 300', 'd ) 450', 'e ) 550']", "output": [ "d" ] }, { "id": "task1423-2efeb0f42a114de0ab55a86f13a2da49", "input": "Problem: the length of a rectangle is two third of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 4761 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 13 units ? \nOptions: ['a ) 598 sq . units', 'b ) 556 sq . units', 'c ) 589 sq . units', 'd ) 958 sq . units', 'e ) 985 sq . units']", "output": [ "a" ] }, { "id": "task1423-e0fca52196144b5391215279b2e77290", "input": "Problem: a semicircular cubicle has a radius of 14 . what is the approximate perimeter of the cubicle ? \nOptions: ['a ) 55', 'b ) 86', 'c ) 25', 'd ) 72', 'e ) 35']", "output": [ "d" ] }, { "id": "task1423-67d6212fb27748ccb36e6969869d26b5", "input": "Problem: if the sides of a cube are in the ratio 9 : 5 . what is the ratio of their diagonals ? \nOptions: a ) 9 : 5 , b ) 16 : 9 , c ) 4 : , d ) 3 : 4 , e ) 3 : 8", "output": [ "a" ] }, { "id": "task1423-2db05aa4d83f4b2dabbf650e13bd39fc", "input": "Problem: a rectangular box of volume v has width , depth and height in the ratio of 2 : 1 : 3 ( in that order ) . what is the height as a function of v ? \nOptions: ['a ) ( v / 2 ) ^ ( 1 / 3 )', 'b ) ( 2 v / 6 ) ^ ( 1 / 3 )', 'c ) ( 9 v / 2 ) ^ ( 1 / 3 )', 'd ) ( 4 v / 3 ) ^ ( 1 / 3 )', 'e ) ( 4 v / 2 ) ^ ( 1 / 3 )']", "output": [ "c" ] }, { "id": "task1423-24893a4acc0c4e70832a3e0512bad8dc", "input": "Problem: the circumferences of two circles are 264 meters and 704 meters . find the difference between the areas of the larger and the smaller circles ? \nOptions: a ) 29960 sq m , b ) 33880 sq m , c ) 43120 sq m , d ) 27680 sq m , e ) 12786 sq m", "output": [ "b" ] }, { "id": "task1423-09372ee229a44cec8f8176375502da48", "input": "Problem: in the coordinate plane , a circle centered on point ( - 3 , 4 ) passes through point ( 1 , 1 ) . what is the area of the circle ? \nOptions: a ) 9 π , b ) 18 π , c ) 25 π , d ) 37 π , e ) 41 π", "output": [ "c" ] }, { "id": "task1423-8933b81d5161457aa7a6c2a3b61b0338", "input": "Problem: a rectangular floor that measures 6 meters by 8 meters is to be covered with carpet squares that each measure 2 meters by 2 meters . if the carpet squares cost $ 12 apiece , what is the total cost for the number of carpet squares needed to cover the floor ? \nOptions: a ) $ 200 , b ) $ 240 , c ) $ 480 , d ) $ 960 , e ) $ 144", "output": [ "e" ] }, { "id": "task1423-4fec1e6fd22440109deda2a2bfed5d6a", "input": "Problem: what will be the cost of gardening 1 meter boundary around a rectangular plot having perimeter of 340 meters at the rate of rs . 10 per square meter ? \nOptions: ['a ) rs . 3430', 'b ) rs . 3440', 'c ) rs . 3450', 'd ) rs . 3460', 'e ) rs . 3490']", "output": [ "b" ] }, { "id": "task1423-6e6703aa9e4548ac88af9026df6ddb8b", "input": "Problem: the ratio of the volumes of two cubes is 1000 : 3375 . what is the ratio of their total surface areas ? \nOptions: a ) 81 : 121 , b ) 4 : 9 , c ) 729 : 1331 , d ) 27 : 121 , e ) none of these", "output": [ "b" ] }, { "id": "task1423-f04ca767971d4aa49a45348f7f666a0c", "input": "Problem: a circular wire of radius 42 cm is cut and bent into the form of a rectangle whose sides are in the ratio of 6 : 5 . the smaller side of the rectangle is : \nOptions: ['a ) 30 cm', 'b ) 60 cm', 'c ) 72 cm', 'd ) 132 cm .', 'e ) 142 cm .']", "output": [ "b" ] }, { "id": "task1423-03f01b07e20e43d994d9e9303cde2826", "input": "Problem: a 45 ° - 45 ° - 90 ° right triangle has hypotenuse of length h . what is the area of the triangle r in terms of h ? \nOptions: ['a ) h / √ 2', 'b ) h / 2', 'c ) h / 4', 'd ) ( h ) ^ 2', 'e ) ( h ) ^ 2 / 4']", "output": [ "e" ] }, { "id": "task1423-6e9638370078419ca031131487bb7f6c", "input": "Problem: find the perimeter and area of the rectangle of length 17 cm and breadth 13 cm . \nOptions: a ) 221 cm 2 , b ) 211 cm 2 , c ) 231 cm 2 , d ) 236 cm 2 , e ) 241 cm 2", "output": [ "a" ] }, { "id": "task1423-9d729cf9312e44df9137d8992ccf967f", "input": "Problem: what is the perimeter , in meters , of a rectangular garden 16 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide ? \nOptions: a ) 48 , b ) 56 , c ) 60 , d ) 56 , e ) 192", "output": [ "d" ] }, { "id": "task1423-84718ccc63494a3dadbda1332e0fb8bd", "input": "Problem: a cubic object 3 ' ' x 3 ' ' x 3 ' ' is painted blue on all the outside surfaces , including the top and bottom . if the cube is cut into 27 cubes of 1 ' ' x 1 ' ' x 1 ' ' , how many 1 ' ' cubes do have any painted surfaces ? \nOptions: ['a ) 15', 'b ) 22', 'c ) 26', 'd ) 33', 'e ) 44']", "output": [ "c" ] }, { "id": "task1423-d441b2a604374db1af7ff1d856e328cb", "input": "Problem: a cube of edge 5 cm is cut into cubes each of edge 1 cm . the ratio of the total surface area of one of the small cubes to that of the large cube is equal to : \nOptions: ['a ) 1 : 25', 'b ) 1.225', 'c ) 1 : 52', 'd ) 1 : 522', 'e ) none']", "output": [ "a" ] }, { "id": "task1423-2d6173f903734d3a8c0f52889990f1a0", "input": "Problem: the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 16 cm each . the radius of the sphere is \nOptions: a ) 3 cm , b ) 4 cm , c ) 6 cm , d ) 8 cm , e ) none", "output": [ "d" ] }, { "id": "task1423-f29b7bf546304e10b9c9765c6c7c34fd", "input": "Problem: the number 149 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ? \nOptions: a ) 19 , b ) 16 , c ) 15 , d ) 14 , e ) 13", "output": [ "a" ] }, { "id": "task1423-8412bccfde7f4797b4ad7f10dde32828", "input": "Problem: perimeter of an equilateral and isosceles is 45 and 40 respectively . at least one of the sides of isosceles is equal to the equilateral . what ' s the base of isosceles triangle ? \nOptions: ['a ) 7', 'b ) 8', 'c ) 9', 'd ) 10', 'e ) 11']", "output": [ "d" ] }, { "id": "task1423-5b9fdc8d10eb494d8264aacbaf3f43f2", "input": "Problem: the area of a parallelogram is 162 sq m and its altitude is twice the corresponding base . then the length of the base is ? \nOptions: a ) 8 , b ) 9 , c ) 7 , d ) 62 , e ) 2", "output": [ "b" ] }, { "id": "task1423-fff4330943574f36849e72c8336895c8", "input": "Problem: abcd is a square where ab = â ˆ š 4004 . let x be a point on ab and y be a point on cd such that ax = cy . compute the area of trapezoid axyd . \nOptions: a ) 3008 , b ) 2002 , c ) 1008 , d ) 2016 , e ) 3000", "output": [ "b" ] }, { "id": "task1423-1cc08997da064877a1c91663300ffd32", "input": "Problem: the difference of the areas of two squares drawn on two line segments in 32 sq . cm . find the length of the greater line segment if one is longer than the other by 2 cm \nOptions: ['a ) 9 cm', 'b ) 8 cm', 'c ) 7 cm', 'd ) 6 cm', 'e ) 5 cm']", "output": [ "c" ] }, { "id": "task1423-91f2d73c172f474a81b5d0cd9dd14447", "input": "Problem: the area of a square is equal to five times the area of a rectangle of dimensions 36 cm * 20 cm . what is the perimeter of the square ? \nOptions: a ) 289 cm , b ) 800 cm , c ) 829 cm , d ) 240 cm , e ) 289 cm", "output": [ "d" ] }, { "id": "task1423-3305577c23684018b492f3ab587fb17c", "input": "Problem: the roof of an apartment building is rectangular and its length is 4 times longer than its width . if the area of the roof is 676 feet squared , what is the difference between the length and the width of the roof ? \nOptions: a ) 39 . , b ) 40 . , c ) 42 . , d ) 44 . , e ) 46 .", "output": [ "a" ] }, { "id": "task1423-e7d79a2a90a9482f90c1b8f0ffb25bd0", "input": "Problem: abcd is a square where ab = â ˆ š 4032 . let x be a point on ab and y be a point on cd such that ax = cy . compute the area of trapezoid axyd . \nOptions: ['a ) 3008', 'b ) 2002', 'c ) 1008', 'd ) 2016', 'e ) 3000']", "output": [ "d" ] }, { "id": "task1423-9a15ef06e1b64e9eaffd844cb1cf3da8", "input": "Problem: the length of a rectangle is double its width . if the length is diminished by 5 cm and the width is increased by 5 cm then its area is increased by 75 cm square . what is the length of the rectangle ? \nOptions: ['a ) 20', 'b ) 30', 'c ) 40', 'd ) 56', 'e ) 65']", "output": [ "c" ] }, { "id": "task1423-0301e5ed86654512902af7090b124817", "input": "Problem: what is the smallest positive integer x , such that 6000 x is a perfect cube ? \nOptions: a ) 4 , b ) 6 , c ) 36 , d ) 12 , e ) 18", "output": [ "c" ] }, { "id": "task1423-144acb29ba8f4d85ae74d78050f43916", "input": "Problem: a rectangular garden is to be twice as long as it is wide . if 300 yards of fencing , including the gate , will completely enclose the garden , what will be the length of the garden , in yards ? \nOptions: a ) 40 , b ) 50 , c ) 60 , d ) 70 , e ) 100", "output": [ "e" ] }, { "id": "task1423-7d95c435267e4457a0c1e453fcd3b75b", "input": "Problem: a math teacher has 24 cards , each of which is in the shape of a geometric figure . half of the cards are rectangles , and a third of the cards are rhombuses . if 8 cards are squares , what is the maximum possible number of cards that re circles . \nOptions: a ) 7 , b ) 10 , c ) 11 , d ) 12 , e ) 13", "output": [ "a" ] }, { "id": "task1423-8fcf1184a6e94f329fdbb0f484aa6055", "input": "Problem: a lamp is put on one corner of a square plot of side 50 m . it ' s light reaches 21 m . find the area of that plot that is lit by that lamp ? \nOptions: ['a ) 248', 'b ) 312.5', 'c ) 346.5', 'd ) 392.5', 'e ) 424']", "output": [ "c" ] }, { "id": "task1423-424c236e0ee94d4384e5e30535a37b8a", "input": "Problem: a snooker tournament charges $ 40.00 for vip seats and $ 15.00 for general admission ( “ regular ” seats ) . on a certain night , a total of 320 tickets were sold , for a total cost of $ 7,500 . how many fewer tickets were sold that night for vip seats than for general admission seats ? \nOptions: a ) 212 , b ) 200 , c ) 220 , d ) 230 , e ) 240", "output": [ "a" ] }, { "id": "task1423-d5c94dfa62b84a839a240fb40324eee0", "input": "Problem: a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 560 sq . feet , how many feet of fencing will be required ? \nOptions: a ) 34 , b ) 40 , c ) 68 , d ) 76 , e ) 92", "output": [ "d" ] }, { "id": "task1423-850fc6a652904f03a2e085d9dbe06ee6", "input": "Problem: what will be the cost of building a fence around a circular plot with area equal to 289 sq ft , if the price per foot of building the fence is rs . 58 ? \nOptions: ['a ) a ) rs . 3944', 'b ) b ) rs . 3495.28', 'c ) c ) rs . 3988', 'd ) d ) rs . 3949', 'e ) e ) rs . 3923']", "output": [ "b" ] }, { "id": "task1423-f39a12bd70ec464a93a9f58eb59a21a6", "input": "Problem: a small table has a length of 12 inches and a breadth of b inches . cubes are placed on the surface of the table so as to cover the entire surface . the maximum side of such cubes is found to be 4 inches . also , a few such tables are arranged to form a square . the minimum length of side possible for such a square is 20 inches . find b . \nOptions: a ) 8 , b ) 16 , c ) 4 , d ) 32 , e ) 48", "output": [ "c" ] }, { "id": "task1423-1711b4ad9e9a422f9909f714051af810", "input": "Problem: smita was making a cube with dimensions 5 * 5 * 5 using 1 * 1 * 1 cubes . what is the number of cubes needed to make a hollow cube looking of the same shape ? \nOptions: ['a ) 98', 'b ) 104', 'c ) 100', 'd ) 61', 'e ) 51']", "output": [ "a" ] }, { "id": "task1423-f2777d2da96c43639ca48650ca51c1fd", "input": "Problem: the parameter of a square is equal to the perimeter of a rectangle of length 18 cm and breadth 14 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) \nOptions: a ) 77.14 cm , b ) 25.14 cm , c ) 84.92 cm , d ) 94.94 cm , e ) 23.57 cm", "output": [ "b" ] }, { "id": "task1423-15347200f0a84018b79dbe4771828664", "input": "Problem: a lady grows cauliflower in her garden that is in the shape of a square . each cauliflower takes 1 square foot of area in her garden . this year , she has increased her output by 223 cauliflower when compared to last year . the shape of the area used for growing the cauliflower has remained a square in both these years . how many cauliflowers did she produce this year ? \nOptions: ['a ) 12541', 'b ) 12542', 'c ) 12544', 'd ) 12545', 'e ) can not be determined']", "output": [ "c" ] }, { "id": "task1423-a3ab264ee0f5479f9d15e409bbafbe70", "input": "Problem: the area of an isosceles trapezoid with sides of length 5 and bases of length 8 and 14 is ? \nOptions: a ) 22 , b ) 32 , c ) 44 , d ) 55 , e ) 56", "output": [ "c" ] }, { "id": "task1423-b729db5c236b42aab41bd2c2b9c2d6d4", "input": "Problem: 108 . triangle a ’ s base is 9 % greater than the base of triangle b , and a ’ s height is 9 % less than the height of triangle b . the area of triangle a is what percent less or more than the area of triangle b ? \nOptions: a ) 9 % less , b ) 1 % less , c ) equal to each other , d ) 1.3 % more , e ) 9 % more", "output": [ "d" ] }, { "id": "task1423-afcd31ad59a946faa8381d17120010e0", "input": "Problem: if the area of the equilateral triangle above is 0.75 , what is the area of the adjacent square ? \nOptions: ['a ) ( √ 3 ) / 2', 'b ) √ 3', 'c ) √ 6', 'd ) 3', 'e ) 2 √ 3']", "output": [ "b" ] }, { "id": "task1423-f3fbe5f3bbd4419a85869675831f2188", "input": "Problem: the area of a triangle is 615 m 2 . if one of its sides is 123 metre , find the length of the perpendicular dropped on that side from opposite vertex . \nOptions: ['a ) 15 metres', 'b ) 12 metres', 'c ) 10 metres', 'd ) 9 metres', 'e ) none of these']", "output": [ "c" ] }, { "id": "task1423-215b10d0462b495bace6f7cfa8c7e765", "input": "Problem: the ratio of the volumes of two cubes is 729 : 1000 . what is the ratio of their total surface areas ? \nOptions: a ) 1 : 12 , b ) 81 : 13 , c ) 46 : 51 , d ) 86 : 16 , e ) 56 : 13", "output": [ "c" ] }, { "id": "task1423-6784d389fa9545dd8d5330d60e291611", "input": "Problem: a rectangle has 20 meter length and 15 meter breadth . find ratio between area of rectangle and square whose side is same with rectangle ' s length . \nOptions: ['a ) 3 : 2', 'b ) 3 : 4', 'c ) 4 : 5', 'd ) 2 : 3', 'e ) 2 : 5']", "output": [ "b" ] }, { "id": "task1423-6636da4440bf4d728da02a60f92902f2", "input": "Problem: the perimeter of a triangle is 39 cm and the inradius of the triangle is 1.5 cm . what is the area of the triangle ? \nOptions: a ) 22 , b ) 35 , c ) 77 , d ) 54 , e ) 29", "output": [ "e" ] }, { "id": "task1423-c6cedcfcc3564351886cfb1234006e5f", "input": "Problem: the minimum number of tiles of size 16 by 24 required to form a square by placing them adjacent to one another is \nOptions: ['a ) 4 tiles', 'b ) 5 tiles', 'c ) 6 tiles', 'd ) 7 tiles', 'e ) 8 tiles']", "output": [ "c" ] }, { "id": "task1423-fbe88fa72b354f7690308c77c0fec16a", "input": "Problem: one side of a rectangular field is 15 m and one of its diagonal is 18 m . find the area of the field . \nOptions: a ) 100 , b ) 120 , c ) 150 , d ) 148.5 , e ) none", "output": [ "d" ] }, { "id": "task1423-7ae258543888476485a66fdbf5920b89", "input": "Problem: the area of a square field is 28808 sq m . how long will a lady take to cross the field diagonally at the rate of 7.2 km / hr ? \nOptions: a ) 2.5 min , b ) 3 min , c ) 2 min , d ) 4 min , e ) 4.5 min", "output": [ "c" ] }, { "id": "task1423-6a7c75841d184ac485d491b8cf7d6c61", "input": "Problem: what is the smallest positive integer nn such that 6,480 ∗ n √ 6,480 ∗ n is a perfect cube ? \nOptions: a ) 5 , b ) 5 ^ 2 , c ) 30 , d ) 30 ^ 2 , e ) 30 ^ 4", "output": [ "e" ] }, { "id": "task1423-5a0f0ea30d0f4e71b06fdf3cf2fb22d5", "input": "Problem: how many 4 x 4 x 4 cubes could fit in a 9 x 13 x 16 box ? \nOptions: a ) 22 , b ) 28 , c ) 29 , d ) 31 , e ) 32", "output": [ "c" ] }, { "id": "task1423-fb0aab5d4c554c22a03983bf8cdfd1a6", "input": "Problem: the side of a square is increased by 15 % then how much % does its area increases ? \nOptions: ['a ) 52.65', 'b ) 56.25', 'c ) 50.75', 'd ) 32.25', 'e ) 52.75']", "output": [ "d" ] }, { "id": "task1423-6458acfca63846e69cfacf304fb98fff", "input": "Problem: the diagonals of a rhombus are 11 cm and 16 cm . find its area ? \nOptions: a ) 277 , b ) 266 , c ) 150 , d ) 88 , e ) 212", "output": [ "d" ] }, { "id": "task1423-fd41ce7c2eff497cb10e5d21bba54c47", "input": "Problem: a 14 meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ? \nOptions: a ) 5 / 14 , b ) 3 / 14 , c ) 8 / 21 , d ) 6 / 7 , e ) 2 / 5", "output": [ "d" ] }, { "id": "task1423-61fa74af4921423d83c4edda21fe3df1", "input": "Problem: the area of sector of a circle whose radius is 12 metro and whose angle at the center is 42 ° is ? \nOptions: a ) 56.8 m 2 , b ) 82.9 m 2 , c ) 52.8 m 2 , d ) 17.9 m 2 , e ) 72.9 m 2", "output": [ "c" ] }, { "id": "task1423-ce18d461002d43648fb2f2e39a663398", "input": "Problem: a certain rectangular crate measures 6 feet by 8 feet by 10 feet . a cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces . what should the radius of the tank be if it is to be of the largest possible volume ? \nOptions: a ) 4 , b ) 4 , c ) 6 , d ) 8 , e ) 10", "output": [ "b" ] }, { "id": "task1423-f905d5d7148644c198dfe1ae66c960f4", "input": "Problem: nitin ' s age was equal to square of some number last year and the following year it would be cube of a number . if again nitin ' s age has to be equal to the cube of some number , then for how long he will have to wait ? \nOptions: ['a ) 10 years', 'b ) 38 years', 'c ) 39 years', 'd ) 64 years', 'e ) 44 years']", "output": [ "b" ] }, { "id": "task1423-5359c1713485446a8543c08e9b82b2fd", "input": "Problem: rectangular tile each of size 45 cm by 50 cm must be laid horizontally on a rectangular floor of size 250 cm by 180 cm , such that the tiles do not overlap and they are placed with edges jutting against each other on all edges . a tile can be placed in any orientation so long as its edges are parallel to the edges of floor . no tile should overshoot any edge of the floor . the maximum number of tiles that can be accommodated on the floor is : \nOptions: a ) 35 , b ) 40 , c ) 25 , d ) 18 , e ) 20", "output": [ "e" ] }, { "id": "task1423-2f0b8fc4f7414ba3a86feea22f8a4395", "input": "Problem: in measuring the sides of a rectangle , one side is taken 5 % in excess and the other 4 % in deficit . find the error percent in the area , calculate from the those measurements . \nOptions: a ) 0.9 % , b ) 0.8 % , c ) 0.3 % , d ) 0.2 % , e ) 0.5 %", "output": [ "b" ] }, { "id": "task1423-6c95e062b0fe4449a315bcc7acb28d85", "input": "Problem: the length of a rectangular plot is thrice its width . if the area of the rectangular plot is 432 sq meters , then what is the width ( in meters ) of the rectangular plot ? \nOptions: ['a ) 10', 'b ) 11', 'c ) 12', 'd ) 13', 'e ) 14']", "output": [ "c" ] }, { "id": "task1423-63febd600bc24e5891726658fbb0dc56", "input": "Problem: if the difference between the length and breadth of a rectangle is 23 m and its perimeter is 186 m , what is its area ? \nOptions: a ) 2510 , b ) 2535 , c ) 2530 , d ) 2030 , e ) 2520", "output": [ "d" ] }, { "id": "task1423-a9f8cda8100145c7b8b4ddb67a21b355", "input": "Problem: a lady builds 12 cm length , 16 cm width , and 6 cm height box using 3 cubic cm cubes . what is the minimum number of cubes required to build the box ? \nOptions: a ) 345 , b ) 384 , c ) 378 , d ) 398 , e ) 300", "output": [ "b" ] }, { "id": "task1423-5ac5e6ec9fdd4bc3988e29f3b97ebb5e", "input": "Problem: find the area of the quadrilateral of one of its diagonals is 30 cm and its off sets 10 cm and 6 cm ? \nOptions: a ) 189 cm 2 , b ) 150 cm 2 , c ) 240 cm 2 , d ) 177 cm 2 , e ) 187 cm 2", "output": [ "c" ] }, { "id": "task1423-592c7d4f8b344dce89c89624a0defd17", "input": "Problem: if the sides of a triangle are 26 cm , 24 cm and 10 cm , what is its area ? \nOptions: a ) 120 cm 2 , b ) 130 cm 2 , c ) 312 cm 2 , d ) 315 cm 2 , e ) none of these", "output": [ "a" ] }, { "id": "task1423-b6633cfe1886496389505284c19095af", "input": "Problem: if o is the center of the circle in the figure above and the area of the unshaded sector is 5 , what is the area of the shaded region ? \nOptions: ['a ) 25 / √ π', 'b ) 30 / √ π', 'c ) 20', 'd ) 25', 'e ) 30']", "output": [ "d" ] }, { "id": "task1423-8c4775b481d8490c941c14a705753126", "input": "Problem: carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 8 inches by 15 inches and jordan ' s rectangle is 4 inches long , how wide is jordan ' s rectangle , in inches ? \nOptions: a ) 24 , b ) 26 , c ) 28 , d ) 30 , e ) 32", "output": [ "d" ] }, { "id": "task1423-f75e82726d9848a4aefa0e8ef46396da", "input": "Problem: a rectangular lawn of dimensions 70 m * 60 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 3 per sq m ? \nOptions: a ) s . 3988 , b ) s . 3900 , c ) s . 3228 , d ) s . 3922 , e ) s . 3600", "output": [ "e" ] }, { "id": "task1423-65edc175a7614cb6b4af66f75cd1f95c", "input": "Problem: the area of a rhombus is equal to the area of a rectangle whose length is 20 cm and the breadth is 10 cm . if one of the diagonals is 32 cm what is the length of other diagonal ? \nOptions: ['a ) 10', 'b ) 12.5', 'c ) 15', 'd ) 16', 'e ) 17.5']", "output": [ "b" ] }, { "id": "task1423-0210fe013c9f408f92c29500ac0c2170", "input": "Problem: a hall is 15 m long and 12 m broad . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of 4 walls , the volume of the hall is : \nOptions: a ) 3348 , b ) 3898 , c ) 1200 , d ) 2881 , e ) 7881", "output": [ "c" ] }, { "id": "task1423-8c13dc008715479f92faa795ed27da27", "input": "Problem: a hall is 18 meters long and 9 meters wide . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , what is the volume of the hall ( in cubic meters ) ? \nOptions: a ) 640 , b ) 758 , c ) 862 , d ) 972 , e ) 1024", "output": [ "d" ] }, { "id": "task1423-d19e06e76688407680b5984e0d079e49", "input": "Problem: two isosceles triangles have equal vertical angles and their areas are in the ratio 16 : 49 . find the ratio of their corresponding heights . \nOptions: a ) 4 / 5 , b ) 5 / 4 , c ) 3 / 2 , d ) 4 / 7 , e ) 2 / 3", "output": [ "d" ] }, { "id": "task1423-dda357d1022f49e39d78dc40c18c7144", "input": "Problem: a cube of edge 5 cm is cut into cubes of each edge 1 cm . the ratio of the total surface area of one of the small cubes to that of the large cube is equal to \nOptions: ['a ) 1 : 5', 'b ) 1 : 25', 'c ) 1 : 125', 'd ) 1 : 625', 'e ) none']", "output": [ "b" ] }, { "id": "task1423-c667d5bb1c7147d5b0d2082fc1bae548", "input": "Problem: what is the % change in the area of a rectangle when its length increases by 25 % and its width decreases by 25 % ? \nOptions: a ) 0 % , b ) 20 % increase , c ) 20 % decrease , d ) 6 % decrease , e ) insufficient data", "output": [ "d" ] }, { "id": "task1423-0052b8651a2b4970a5f811ecebdcc262", "input": "Problem: the area of a square field is 4802 m ( power ) 2 the length of its diagonal is : \nOptions: ['a ) 98 m', 'b ) 102 m', 'c ) 95 m', 'd ) 105 m', 'e ) 96 m']", "output": [ "a" ] }, { "id": "task1423-15473d1d71304acba8cd4efd12d3880b", "input": "Problem: the length and breadth of a rectangle is increased by 10 % and 25 % respectively . what is the increase in the area ?. a . 27.5 % \nOptions: ['a ) 37.2 %', 'b ) 37.5 %', 'c ) 30.2 %', 'd ) 37.7 %', 'e ) 33.2 %']", "output": [ "b" ] }, { "id": "task1423-3811c031d3e54a5db4faf457366e14ad", "input": "Problem: what should be added to 4529 so that it may become a perfect square ? \nOptions: a ) 94 , b ) 95 , c ) 96 , d ) 97 , e ) 98", "output": [ "b" ] }, { "id": "task1423-ea5960db323248d88a0873c75f6e31d6", "input": "Problem: rectangle a has sides a and b , and rectangle b has sides c and d . if a / c = b / d = 3 / 5 , what is the ratio of rectangle a ’ s area to rectangle b ’ s area ? \nOptions: ['a ) 5 / 3', 'b ) 9 / 5', 'c ) 9 / 25', 'd ) 3 / 5', 'e ) 25 / 9']", "output": [ "c" ] }, { "id": "task1423-7c75e6d59ccd4ec58817a8ee6e406ef5", "input": "Problem: a larger cube has 343 cubic inch as a volume and in the cube there are 343 smaller cubes such that their volume is 1 cubic inch . what is the difference between the surface areas ’ sum of the 343 smaller cubes and the surface area of the larger cube , in square inch ? \nOptions: a ) 54 , b ) 64 , c ) 81 , d ) 108 , e ) 1764", "output": [ "e" ] }, { "id": "task1423-6938dbc1989448c696269b7d44a82839", "input": "Problem: the area of an isosceles trapezoid with sides of length 5 and bases of length 11 and 17 is ? \nOptions: a ) 48 , b ) 52 , c ) 54 , d ) 56 , e ) 46", "output": [ "d" ] }, { "id": "task1423-99ac6d8285e74d56aca5ad4d68e9a916", "input": "Problem: find the curved surface area , if the radius of a cone is 35 m and slant height is 30 m ? \nOptions: a ) 1100 , b ) 2200 , c ) 3300 , d ) 4400 , e ) 5500", "output": [ "c" ] }, { "id": "task1423-acaca676150e402f9e713a50922a2351", "input": "Problem: susan made a block with small cubes of 5 cubic cm volume to make a block 7 small cubes long , 7 small cubes wide and 6 small cubes deep . she realise that she has used more small cubes than she really needed . she realised that she could have glued a fewer number of cubes together ot look like a block with same dimensions , if it were made \nOptions: ['a ) 194', 'b ) 195', 'c ) 196', 'd ) 197', 'e ) 198']", "output": [ "a" ] }, { "id": "task1423-15017739b78748bfbce2c466af053f35", "input": "Problem: what is the max number of rectangular boxes , each measuring 4 inches by 6 inches by 10 inches , that can be packed into a rectangular packing box measuring 16 inches by 18 inches by 30 inches , if all boxes are aligned in the same direction ? \nOptions: ['a ) 36', 'b ) 14', 'c ) 12', 'd ) 15', 'e ) 11']", "output": [ "a" ] }, { "id": "task1423-b60cc3fbf1a046518e47a655a778500a", "input": "Problem: if the sides of a cube are in the ratio 5 : 4 . what is the ratio of their diagonals ? \nOptions: a ) 4 : 3 , b ) 5 : 4 , c ) 4 : 7 , d ) 3 : 4 , e ) 4 : 5", "output": [ "b" ] }, { "id": "task1423-66212765e9644e1ab51e9d8e3dfdd29a", "input": "Problem: the area of a square is 4356 sq cm . find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square . \nOptions: a ) 5 : 28 , b ) 5 : 19 , c ) 7 : 12 , d ) 5 : 13 , e ) 7 : 22", "output": [ "e" ] }, { "id": "task1423-93ebe2ddc6164af381e0aab1e935488b", "input": "Problem: a circular mat with diameter 18 inches is placed on a square tabletop , each of whose sides is 24 inches long . which of the following is closest to the fraction of the tabletop covered by the mat ? \nOptions: ['a ) 5 / 12', 'b ) 3 / 5', 'c ) 1 / 2', 'd ) 3 / 8', 'e ) 5 / 6']", "output": [ "d" ] }, { "id": "task1423-280ae3da68a64adc9bce4ecdf011b93e", "input": "Problem: a hall is 15 meters long and 10 meters wide . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , what is the volume of the hall ( in cubic meters ) ? \nOptions: a ) 600 , b ) 700 , c ) 800 , d ) 900 , e ) 1000", "output": [ "d" ] }, { "id": "task1423-9b3f7fdbd8ee44e8ac1cb4c172316699", "input": "Problem: the diagonal of a rhombus are 40 m and 30 m . its area is : \nOptions: ['a ) 600', 'b ) 450', 'c ) 350', 'd ) 500', 'e ) 620']", "output": [ "a" ] }, { "id": "task1423-98826fb5a8a24715bb5cc0af12ee3df6", "input": "Problem: when magnified 1,000 times by an electron microscope , the image of a certain circular piece of tissue has a diameter of 2 centimeter . the actual diameter of the tissue , in centimeters , is \nOptions: ['a ) 0.005', 'b ) 0.002', 'c ) 0.001', 'd ) 0.0005', 'e ) 0.0002']", "output": [ "b" ] }, { "id": "task1423-7addafa2905c4f90af29a7f795911b8a", "input": "Problem: the squared value of the diagonal of a rectangle is ( 64 + b 2 ) sq cm , where b is less than 8 cm . what is the breadth of that rectangle ? \nOptions: ['a ) 6 cm', 'b ) 10 cm', 'c ) 8 cm', 'd ) data inadequate', 'e ) none of these']", "output": [ "a" ] }, { "id": "task1423-62c4d49f97104aa4bb9807b36a959480", "input": "Problem: the area of a rectangle is 460 square metres . if the length is 15 % more than the breadth , what is the breadth of the rectangular field ? \nOptions: ['a ) 20', 'b ) 27', 'c ) 26', 'd ) 188', 'e ) 11']", "output": [ "a" ] }, { "id": "task1423-5ed373d880ea4861acd3029516faf1e7", "input": "Problem: if the area of a circle is 49 pi square feet , find its circumference . \nOptions: a ) 14 pi feet , b ) 28 pi feet , c ) 38 pi feet , d ) 48 pi feet , e ) 58 pi feet", "output": [ "a" ] }, { "id": "task1423-ea6ef37ef62f48ecb0f50763cdd04d4d", "input": "Problem: the ratio of the volumes of two cubes is 1728 : 1331 . what is the ratio of their total surface areas ? \nOptions: a ) 144 : 121 , b ) 141 : 127 , c ) 144 : 191 , d ) 181 : 161 , e ) 81 : 182", "output": [ "a" ] }, { "id": "task1423-10fa2e758ced42cfa3311a224e74f987", "input": "Problem: if there is one larger cube with surface area 600 and no . of smaller cubes with surface area 24 . then how many small cubes are required to make a larger cube with surface area of 600 ? \nOptions: ['a ) 5', 'b ) 125', 'c ) 4', 'd ) 100', 'e ) 24']", "output": [ "b" ] }, { "id": "task1423-e96c883edbcd4c9d98d9dc97a4530129", "input": "Problem: if the sides of a triangle are 26 cm , 25 cm and 10 cm , what is its area ? \nOptions: a ) 120 , b ) 110 , c ) 130 , d ) 140 , e ) 125", "output": [ "e" ] }, { "id": "task1423-c8d2b0eec384479c82652367ec2fdd49", "input": "Problem: a carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet . if the carpenter were to make a similar sandbox twice as long , twice as wide , and twice as high as the first sandbox , what would be the capacity , in cubic feet , of the second sandbox ? \nOptions: a ) 20 , b ) 40 , c ) 60 , d ) 80 , e ) 100", "output": [ "d" ] }, { "id": "task1423-97e56fd9213e476387eb33f884386127", "input": "Problem: the area of a square is 4225 sq cm . find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square . \nOptions: a ) 5 : 28 , b ) 5 : 19 , c ) 5 : 12 , d ) 5 : 13 , e ) 41 : 130", "output": [ "e" ] }, { "id": "task1423-30ccd6130fc24952ace85622637ad90e", "input": "Problem: an artist wishes to paint a circular region on a square poster that is 4 feet on a side . if the area of the circular region is to be 1 / 2 the area of the poster , what must be the radius of the circular region in feet ? \nOptions: a ) 1 / pi , b ) sqrt ( 8 / pi ) , c ) 1 , d ) 2 / sqrt ( pi ) , e ) pi / 2", "output": [ "c" ] }, { "id": "task1423-9e016ed9ce704aa6b9825f0d238f0d54", "input": "Problem: the sum of a number and its square is 1406 . what is the number ? \nOptions: ['a ) 1409', 'b ) 1402', 'c ) 1221', 'd ) 1406', 'e ) 8828']", "output": [ "d" ] }, { "id": "task1423-3ffc3012e3d84c9c88264a53ea29e07a", "input": "Problem: if the area of a square with sides of length 3 centimeters is equal to the area of a rectangle with a width of 4 centimeters , what is the length of the rectangle , in centimeters ? \nOptions: a ) 4 , b ) 8 , c ) 12 , d ) 3 , e ) 18", "output": [ "d" ] }, { "id": "task1423-4cbe4b3144344a2581531cc9fbe0b527", "input": "Problem: the area of a square garden is q square feet and the perimeter is p feet . if q = p + 21 , what is the perimeter of the garden in feet ? \nOptions: ['a ) 24', 'b ) 28', 'c ) 32', 'd ) 36', 'e ) 40']", "output": [ "b" ] }, { "id": "task1423-fe075eabf7ec40d6959cda33a5c2c31a", "input": "Problem: the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 150 sq . cm , what is the length of the rectangle ? \nOptions: ['a ) 12 cm', 'b ) 15 cm', 'c ) 18 cm', 'd ) 21 cm', 'e ) 24 cm']", "output": [ "b" ] }, { "id": "task1423-fc74ab87d87c420b9b032d17af97d89f", "input": "Problem: find the surface area of a cuboid 12 m long , 14 m broad and 7 m high \nOptions: ['a ) 868 sq . cm', 'b ) 600 sq . cm', 'c ) 700 sq . cm', 'd ) 900 sq . cm', 'e ) none of these']", "output": [ "c" ] }, { "id": "task1423-60dad72aa07c4b65bcb78641a9f4f6d4", "input": "Problem: how many odd numbers between 10 and 800 are the squares of integers ? \nOptions: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16", "output": [ "a" ] }, { "id": "task1423-21bbaebbc7104203989db2f476cce026", "input": "Problem: find the area of the quadrilateral of one of its diagonals is 26 cm and its off sets 9 cm and 6 cm ? \nOptions: a ) 188 cm 2 , b ) 150 cm 2 , c ) 168 cm 2 , d ) 195 cm 2 , e ) 987 cm 2", "output": [ "d" ] }, { "id": "task1423-125493ce0fb6463694932122ee7a427e", "input": "Problem: the diagonals of the two squares are in the ratio of 2 : 5 find the ratio of their area . \nOptions: a ) 5 : 89 , b ) 7 : 96 , c ) 4 : 25 , d ) 5 : 84 , e ) 8 : 96", "output": [ "c" ] }, { "id": "task1423-8f7f06804def4154adddae011a1e6f96", "input": "Problem: find the perimeter of a triangle with sides measuring 7 centimeters , 10 centimeters and 15 centimeters . \nOptions: ['a ) 10 cm', 'b ) 15 cm', 'c ) 32 cm', 'd ) 35 cm', 'e ) 20 cm']", "output": [ "c" ] }, { "id": "task1423-6f6e40684c3a48dfa85eec8b2400aef4", "input": "Problem: find the surface area of a 10 cm * 4 cm * 3 cm brick . \nOptions: ['a ) 154 cm square', 'b ) 156 cm square', 'c ) 160 cm square', 'd ) 164 cm square', 'e ) none of these']", "output": [ "d" ] }, { "id": "task1423-330b0baa63744720a5c6a63c4eb3e329", "input": "Problem: what is the area of a square field whose sides have a length of 14 meters ? \nOptions: a ) 196 sq m , b ) 286 sq m , c ) 298 sq m , d ) 267 sq m , e ) 231 sq m", "output": [ "a" ] }, { "id": "task1423-f22b46a2ef1a446290290db1f7d74bc0", "input": "Problem: if the area of a circle decreases by 66 % , then the radius of a circle decreases by \nOptions: a ) 20 % , b ) 18 % , c ) 36 % , d ) 64 % , e ) none of these", "output": [ "e" ] }, { "id": "task1423-2accbfc08723428e85bcf5f80492b0b8", "input": "Problem: a cube of edge 15 cm is immersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 20 cm * 15 cm , find the rise in water level ? \nOptions: a ) 6 cm , b ) 8.25 cm , c ) 11.25 cm , d ) 15.12 cm , e ) 20.62 cm", "output": [ "c" ] }, { "id": "task1423-e13bc47747cc4d5b8b861d0c40253592", "input": "Problem: in a trapezium abcd , ab is parallel to dc , ab = 3 * dc , and the diagonals of the trapezium intersect at o . the ratio of the area of ∆ ocd to the area of ∆ oab is : \nOptions: ['a ) 1 : 9', 'b ) 1 : 3', 'c ) 3 : 1', 'd ) 1 : 10', 'e ) can not be determined']", "output": [ "a" ] }, { "id": "task1423-294be157b2534d6b9dd23e7dd94f092f", "input": "Problem: a farmer grows broccoli in his farm that is in the shape of a square . each broccoli takes 1 square foot of area in his garden . this year , he has increased his output by 101 broccoli when compared to last year . the shape of the area used for growing the broccoli has remained a square in both these years . how many broccoli did he produce this year ? \nOptions: ['a ) 2400', 'b ) 2601', 'c ) 1987', 'd ) 2000', 'e ) can not be determined']", "output": [ "b" ] }, { "id": "task1423-782751ecf9a44860b4ab0a583122f6c9", "input": "Problem: cubes with each side one inch long are glued together to form a larger cube . the larger cube ' s face is painted with red color and the entire assembly is taken apart . 23 small cubes are found with no paints on them . how many of unit cubes have at least one face that is painted red ? \nOptions: ['a ) 64', 'b ) 72', 'c ) 86', 'd ) 98', 'e ) 102']", "output": [ "e" ] }, { "id": "task1423-bc4997f4895146fa979ba760ab62d166", "input": "Problem: a rectangular lawn of dimensions 80 m * 50 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 3 per sq m ? \nOptions: a ) a ) 3820 , b ) b ) 930 , c ) c ) 9309 , d ) d ) 3600 , e ) e ) 8302", "output": [ "d" ] }, { "id": "task1423-bef8209d8290443086ea39f93d7c7570", "input": "Problem: the slant height of a cone is 22 cm and radius of the base is 7 cm , find the curved surface of the cone ? \nOptions: a ) 426 , b ) 284 , c ) 483 , d ) 256 , e ) 428", "output": [ "c" ] }, { "id": "task1423-7b5d2367da284d359b8490435b105807", "input": "Problem: a rectangular garden is to be twice as long as it is wide . if 150 yards of fencing , including the gate , will completely enclose the garden , what will be the length of the garden , in yards ? \nOptions: ['a ) 40', 'b ) 50', 'c ) 60', 'd ) 70', 'e ) 80']", "output": [ "b" ] }, { "id": "task1423-7e9cd06bab844f97b20d04881abcbb44", "input": "Problem: in front of you lies a figure made up with 20 x 10 square blocks . will you be able to find out the number of unique squares and rectangles that are being formed inside this figure by combining two or more distinct squares ? \nOptions: ['a ) 11647', 'b ) 11550', 'c ) 12654', 'd ) 26537', 'e ) 32651']", "output": [ "b" ] }, { "id": "task1423-172017e0504145d1965f35a650784ee6", "input": "Problem: the diagonals of a rhombus are 10 cm and 12 cm . find its area ? \nOptions: a ) 158 , b ) 60 , c ) 150 , d ) 123 , e ) 117", "output": [ "b" ] }, { "id": "task1423-cde2c1ae60874d2085de9efc5b2b1aeb", "input": "Problem: 65 small identical cubes are used to form a large cube . how many more cubes are needed to add one top layer of small cube all over the surface of the large cube ? \nOptions: ['a ) 64', 'b ) 128', 'c ) 151', 'd ) 216', 'e ) 256']", "output": [ "c" ] }, { "id": "task1423-2ab03df1ef814e65a2e1c49eb932fd13", "input": "Problem: a rectangular grass field is 75 m * 55 m , it has a path of 3.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ? \nOptions: a ) s . 1350 , b ) s . 1327 , c ) s . 1328 , d ) s . 1397 , e ) s . 1918", "output": [ "e" ] }, { "id": "task1423-71e1c04f18eb40a08e6df8612ad29129", "input": "Problem: how much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 17 inches than that of a rectangular sheet of paper measuring 8.5 inches by 11 inches ? \nOptions: a ) 50 % , b ) 87 % , c ) 100 % , d ) 187 % , e ) 200 %", "output": [ "c" ] }, { "id": "task1423-99ed88efa66b4c38898480561e793ad1", "input": "Problem: find the area of circle whose diameter is 8 m . \nOptions: ['a ) 50.00 square meter', 'b ) 50.04 square meter', 'c ) 50.28 square meter', 'd ) 50.24 square meter', 'e ) 50.43 square meter']", "output": [ "c" ] }, { "id": "task1423-34ad62d10a9f41d191dd1bf78392765f", "input": "Problem: a certain barrel , which is a right circular cylinder , is filled to capacity with 60 gallons of oil . the first barrel is poured into a second barrel , also a right circular cylinder , which is empty . the second barrel is twice as tall as the first barrel and has twice the diameter of the first barrel . if all of the oil in the first barrel is poured into the second barrel , how much empty capacity , in gallons , is left in the second barrel ? \nOptions: ['a ) there is no empty capacity', 'b ) 100 gallons', 'c ) 300 gallons', 'd ) 420 gallons', 'e ) 840 gallons']", "output": [ "d" ] }, { "id": "task1423-f4c9a7827e324a569704c2d6311af293", "input": "Problem: a cube of edge 12 cm is immersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 20 cm * 15 cm , find the rise in water level ? \nOptions: a ) 5.76 cm , b ) 8.25 cm , c ) 11.25 cm , d ) 15.12 cm , e ) 20.62 cm", "output": [ "a" ] }, { "id": "task1423-a4c2c6b3c853439f824ef6c8657f1876", "input": "Problem: find the area of the quadrilateral of one of its diagonals is 22 cm and its off sets 9 cm and 6 cm ? \nOptions: a ) 188 cm 2 , b ) 165 cm 2 , c ) 168 cm 2 , d ) 198 cm 2 , e ) 987 cm 2", "output": [ "b" ] }, { "id": "task1423-93800824e66f465daf136a09cb3a1cba", "input": "Problem: the perimeter of one face of a cube is 24 cm . its volume will be : \nOptions: a ) 216 cm 3 , b ) 400 cm 3 , c ) 250 cm 3 , d ) 625 cm 3 , e ) none of these", "output": [ "a" ] }, { "id": "task1423-ec11f04440ad4f3a9fdf4e95a1de37e1", "input": "Problem: the diagonals of two squares are in the ratio of 2 : 5 then find the ratio of its areas ? \nOptions: a ) 2 : 12 , b ) 4 : 25 , c ) 5 : 31 , d ) 2 : 19 , e ) 3 : 17", "output": [ "b" ] }, { "id": "task1423-5431d0a4c4cd49a4b76ae401ce4dee0c", "input": "Problem: the size of a television screen is given as the length of the screen ' s diagonal . if the screens were flat , then the area of a square 19 - inch screen would be how many square inches greater than the area of a square 17 - inch screen ? \nOptions: a ) 36 , b ) 4 , c ) 16 , d ) 38 , e ) 40", "output": [ "a" ] }, { "id": "task1423-91cfd0b0692644f09832ff9833fe2990", "input": "Problem: find the perimeter and area of a square of side 15 cm . \nOptions: a ) 144 , b ) 169 , c ) 196 , d ) 121 , e ) 225", "output": [ "e" ] }, { "id": "task1423-796bcec3670344d19369882921b168c8", "input": "Problem: an equilateral triangle t 2 is formed by joining the mid points of the sides of another equilateral triangle t 1 . a third equilateral triangle t 3 is formed by joining the mid - points of t 2 and this process is continued indefinitely . if each side of t 1 is 60 cm , find the sum of the perimeters of all the triangles . \nOptions: a ) 180 cm , b ) 220 cm , c ) 240 cm , d ) 270 cm , e ) 360 cm", "output": [ "e" ] }, { "id": "task1423-34304b3b209f45d990f14c8ff0c2e21a", "input": "Problem: the length of the rectangular field is double its width . inside the field there is square shaped pond 8 m long . if the area of the pond is 1 / 72 of the area of the field . what is the length of the field ? \nOptions: a ) 73 , b ) 32 , c ) 34 , d ) 43 , e ) 96", "output": [ "e" ] }, { "id": "task1423-680c8ded03034bb7bbc1165b4f8add04", "input": "Problem: if a 6 cm cube is cut into 1 cm cubes , then what is the percentage increase in the surface area of the resulting cubes ? \nOptions: a ) 300 % , b ) 400 % , c ) 500 % , d ) 600 % , e ) 750 %", "output": [ "c" ] }, { "id": "task1423-1a650d04aeb041ff9144140b4a5ac3e5", "input": "Problem: the length of a rectangular landscape is 3 times its breadth . there is a playground in it whose area is 1600 square mtr & which is 1 / 3 rd of the total landscape . what is the length of the landscape ? \nOptions: a ) 90 , b ) 160 , c ) 150 , d ) 120 , e ) 140", "output": [ "c" ] }, { "id": "task1423-c7e0ea11a1e24697adb9f9b4d5e69b21", "input": "Problem: if the perimeter of δ acd is 9 + 3 √ 3 , what is the perimeter of equilateral triangle δ abc ? \nOptions: ['a ) 9', 'b ) 18 − 3 √ 3', 'c ) 18', 'd ) 18 + 3 √ 3', 'e ) 27']", "output": [ "c" ] }, { "id": "task1423-239422e0f23548b79f4713546552b195", "input": "Problem: a number when divided by 6 leaves a remainder 3 . when the square of the same number is divided by 6 , the remainder is \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "d" ] }, { "id": "task1423-247a891fbd774a95a5974816a5b90e39", "input": "Problem: the length of the rectangular field is double its width . inside the field there is square shaped pond 8 m long . if the area of the pond is 1 / 18 of the area of the field . what is the length of the field ? \nOptions: a ) 23 , b ) 32 , c ) 34 , d ) 43 , e ) 48", "output": [ "e" ] }, { "id": "task1423-372f94b5b98a4f9c8a5f92bcdb7b1cf0", "input": "Problem: what is the total surface area in square meters of a rectangular solid whose length is 10 meters , width is 9 meters , and depth is 6 meters ? \nOptions: a ) 400 m 2 , b ) 404 m 2 , c ) 408 m 2 , d ) 401 m 2 , e ) 412 m 2", "output": [ "c" ] }, { "id": "task1423-183ebf8bb21d4c758f97dbf1ffe3731b", "input": "Problem: which is the smallest number divides 2800 and gives a perfect square . \nOptions: ['a ) 5', 'b ) 6', 'c ) 7', 'd ) 8', 'e ) 9']", "output": [ "c" ] }, { "id": "task1423-e6744c36a3d9416486c10c9b9c2a16a7", "input": "Problem: abcd is a parallelogram . bd = 2 . the angles of triangle bcd are all equal . what is the perimeter of the parallelogram ? \nOptions: ['a ) 12', 'b ) 9 √ 3', 'c ) 9', 'd ) 8', 'e ) 3 √ 3']", "output": [ "d" ] }, { "id": "task1423-63ca87e6bacb4ff2b27bbe0047d8fbbb", "input": "Problem: the lateral surface area of cuboid length 12 m , breadth 8 m and height 6 m . \nOptions: a ) 540 , b ) 240 , c ) 440 , d ) 140 , e ) 340", "output": [ "b" ] }, { "id": "task1423-66e0406d3a694c10a489bd81cb1a4e78", "input": "Problem: the number 42 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ? \nOptions: a ) 17 , b ) 10 , c ) 15 , d ) 14 , e ) 13", "output": [ "b" ] }, { "id": "task1423-5d3c7bd687614847937d279464c042fc", "input": "Problem: in measuring the sides of a rectangle , one side is taken 16 % in excess and other 5 % in deficit . find the error percentage in the area calculated from these measurements . \nOptions: a ) 3.5 % , b ) 2.4 % , c ) 10.2 % , d ) 5 % , e ) 2.6 %", "output": [ "c" ] }, { "id": "task1423-a3da1685e4d04bf1966dfd1ad1a1d298", "input": "Problem: if the area of a circle decreases by 42 % , then the radius of a circle decreases by \nOptions: a ) 20 % , b ) 18 % , c ) 24 % , d ) 64 % , e ) none of these", "output": [ "c" ] }, { "id": "task1423-c55dc12bdc10410db2e436ef241dde7f", "input": "Problem: if the space diagonal of cube c is 5 inches long , what is the length , in inches , of the diagonal of the base of cube c ? \nOptions: ['a ) 5 / ( √ 6 )', 'b ) 5 · √ ( 2 / 3 )', 'c ) 5 · √ ( 3 / 2 )', 'd ) 5 · √ 3', 'e ) 5 · √ 6']", "output": [ "b" ] }, { "id": "task1423-0c6ed7a9bb24409d93084cf208634077", "input": "Problem: each of the 39 points is placed either inside or on the surface of a perfect sphere . if 72 % or fewer of the points touch the surface , what is the maximum number of segments which , if connected from those points to form chords , could be the diameter of the sphere ? \nOptions: a ) 7 , b ) 11 , c ) 13 , d ) 14 , e ) 38", "output": [ "d" ] }, { "id": "task1423-90419779ba984ed28d13e6a98573f195", "input": "Problem: the length of rectangle is thrice its breadth and its perimeter is 112 m , find the area of the rectangle ? \nOptions: a ) 432 sq m , b ) 356 sq m , c ) 452 sq m , d ) 588 sq m , e ) 525 sq m", "output": [ "d" ] }, { "id": "task1423-73cf7e6513a14d24b6d295ff2a3cbdc3", "input": "Problem: a full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet . oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck ' s tank is completely filled . if the truck ' s tank has a radius of 4 feet and a height of 10 feet , how far ( in feet ) did the oil level drop in the stationary tank ? \nOptions: a ) 1.6 , b ) 1 , c ) 0.4 , d ) 0.16 , e ) 0.016", "output": [ "e" ] }, { "id": "task1423-e9da0acb3c9244239fdffc1e7c712fb7", "input": "Problem: the area of a square is equal to five times the area of a rectangle of dimensions 20 cm * 16 cm . what is the perimeter of the square ? \nOptions: a ) 289 cm , b ) 160 cm , c ) 829 cm , d ) 288 cm , e ) 289 cm", "output": [ "b" ] }, { "id": "task1423-b7582c22cd6044429cf7c7294bc9c7eb", "input": "Problem: in the rectangular coordinate system , points ( 2 , 0 ) and ( – 2 , 0 ) both lie on circle c . what is the maximum possible value of the radius of c ? \nOptions: a ) 2 , b ) 4 , c ) 8 , d ) 16 , e ) none of the above", "output": [ "a" ] }, { "id": "task1423-ab0fb72483e345528d20a85936175e41", "input": "Problem: the area of sector of a circle whose radius is 12 metro and whose angle at the center is 30 ° is ? \nOptions: ['a ) 35 m 2', 'b ) 36 m 2', 'c ) 37 m 2', 'd ) 38 m 2', 'e ) 40 m 2']", "output": [ "c" ] }, { "id": "task1423-6a6dd9aab032406eba0b8faa8e63bdf1", "input": "Problem: in a certain circle there are 10 points . what is the number of the triangles connecting 5 points of the 10 points ? \nOptions: a ) 80 , b ) 96 , c ) 108 , d ) 120 , e ) 252", "output": [ "e" ] }, { "id": "task1423-9c3d2f2672a6412ba0146e732233e091", "input": "Problem: the slant height of a cone is 20 cm and radius of the base is 10 cm , find the curved surface of the cone . \nOptions: a ) 330 , b ) 159 , c ) 150 , d ) 200 , e ) 628", "output": [ "e" ] }, { "id": "task1423-ba04f2b89ba046b2a4e1e07fb0199f78", "input": "Problem: there are two circles of different radii . the are of a square is 784 sq cm and its side is twice the radius of the larger circle . the radius of the larger circle is seven - third that of the smaller circle . find the circumference of the smaller circle . \nOptions: a ) 165 ∏ cm , b ) 65 ∏ cm , c ) 12 ∏ cm , d ) 14 ∏ cm , e ) 16 ∏ cm", "output": [ "c" ] }, { "id": "task1423-78f135fd55c843ffa76507af3163b362", "input": "Problem: in a company of 160 employees , 90 are females . a total of 80 employees have advanced degrees and the rest have a college degree only . if 40 employees are males with college degree only , how many employees are females with advanced degrees ? \nOptions: a ) 40 , b ) 45 , c ) 50 , d ) 55 , e ) 60", "output": [ "c" ] }, { "id": "task1423-2f48a1783bd14889a093056a98748b8b", "input": "Problem: find the area of a rhombus one side of which measures 20 cm and one diagonal is 24 cm ? \nOptions: a ) 320 cm 2 , b ) 280 cm 2 , c ) 384 cm 2 , d ) 290 cm 2 , e ) 350 cm 2", "output": [ "c" ] }, { "id": "task1423-17b996a57ad64284bb942494e65cf015", "input": "Problem: the ratio between the perimeter and the breadth of a rectangle is 5 : 1 . if the area of the rectangle is 216 sq . cm , what is the length of the rectangle ? \nOptions: ['a ) 18 cm', 'b ) 20 cm', 'c ) 22 cm', 'd ) 24 cm', 'e ) 25 cm']", "output": [ "a" ] }, { "id": "task1423-5e8b2edad64f47fdb1f5896f4a7e6de7", "input": "Problem: when magnified 1,000 times by an electron microscope , the image of a certain circular piece of tissue has a diameter of 0.2 centimeter . the actual diameter of the tissue , in centimeters , is \nOptions: a ) 0.005 , b ) 0.002 , c ) 0.001 , d ) 0.0005 , e ) 0.0002", "output": [ "e" ] }, { "id": "task1423-38cc0af9b35a49df8bd6bef004c18f12", "input": "Problem: the area of an isosceles trapezoid with sides of length 5 and bases of length 10 and 16 is ? \nOptions: a ) 48 , b ) 40 , c ) 52 , d ) 54 , e ) 58", "output": [ "c" ] }, { "id": "task1423-c44a859b2632447a8f7950849ec122a6", "input": "Problem: the roof of an apartment building is rectangular and its length is 3 times longer than its width . if the area of the roof is 588 feet squared , what is the difference between the length and the width of the roof ? \nOptions: a ) 28 . , b ) 40 . , c ) 42 . , d ) 44 . , e ) 46 .", "output": [ "a" ] }, { "id": "task1423-ff102a64d73f41d88295a8bd255a8518", "input": "Problem: the perimeter of a rectangular yard is completely surrounded by a fence that measures 14 meters . what is the length of the yard if the area of the yard is 6 meters squared ? \nOptions: a ) 8 , b ) 6 , c ) 2 , d ) 4 , e ) 3", "output": [ "b" ] }, { "id": "task1423-72d00688a090467abd8c7ce2e1beba19", "input": "Problem: the volumes of two cones are in the ratio 1 : 12 and the radii of the cones are in the ratio of 1 : 3 . what is the ratio of their heights ? \nOptions: ['a ) a ) 3 : 4', 'b ) b ) 2 : 7', 'c ) c ) 2 : 2', 'd ) d ) 2 : 1', 'e ) e ) 2 : 9']", "output": [ "a" ] }, { "id": "task1423-937f78391543461c9f35dd164dbe8b94", "input": "Problem: two cubes of their volumes in the ratio 64 : 125 . the ratio of their surface area is : \nOptions: a ) 1.5 : 5 , b ) 2 : 5 , c ) 3 : 5 , d ) 1 : 5 , e ) 4 : 5", "output": [ "e" ] }, { "id": "task1423-9486e567f9064c9483d9064ac7b8486c", "input": "Problem: the perimeter of a rhombus is 120 feet and one of its diagonal has a length of 40 feet . find the area of the rhombus . \nOptions: ['a ) 100 sqrt ( 5 ) ft . sq', 'b ) 400 sqrt ( 5 ) ft . sq', 'c ) 500 sqrt ( 5 ) ft . sq', 'd ) 200 sqrt ( 5 ) ft . sq', 'e ) 150 sqrt ( 5 ) ft . sq']", "output": [ "b" ] }, { "id": "task1423-2928a10922fb4794883ba2eba3eee86c", "input": "Problem: on dividing a number by 5 , we get 3 as remainder . what will be the remainder when the square of this number is divided by 5 ? \nOptions: ['a ) 0', 'b ) 1', 'c ) 3', 'd ) 4', 'e ) 2']", "output": [ "d" ] }, { "id": "task1423-5c63195f42b040aaae6c0421f345a11a", "input": "Problem: the ratio between the length and the breadth of a rectangular park is 3 : 2 . if a man cycling along theboundary of the park at the speed of 12 km / hr completes one round in 8 min , then the area of the park is ? \nOptions: a ) 163600 m , b ) 178600 m , c ) 153600 m , d ) 163600 m , e ) 173600 m", "output": [ "c" ] }, { "id": "task1423-5526b6a68ab344f1958acbb4aefbae5f", "input": "Problem: for any even integer p , 300 multiplied by p is square of an integer . what is the least value of p ? \nOptions: a ) 3 , b ) 4 , c ) 10 , d ) 12 , e ) 14", "output": [ "a" ] }, { "id": "task1423-6c2872a02b2c492eb9e284752ef78ce6", "input": "Problem: 61 small identical cubes are used to form a large cube . how many more cubes are needed to add one top layer of small cube all over the surface of the large cube ? \nOptions: a ) 64 , b ) 128 , c ) 152 , d ) 155 , e ) 256", "output": [ "d" ] }, { "id": "task1423-59c84137676d4811bf58779e3a6d7cc2", "input": "Problem: the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each . the radius of the sphere is \nOptions: a ) 3 cm , b ) 4 cm , c ) 6 cm , d ) 8 cm , e ) none", "output": [ "c" ] }, { "id": "task1423-cf85410279d54df1b16e9e7d4ccd5e39", "input": "Problem: a equilateral triangle having one side 5 m . in this triangle there is a square of side 2 m . calculate the percentage of area outside square in that triangle . \nOptions: ['a ) 68', 'b ) 54', 'c ) 63.04', 'd ) 62', 'e ) 60']", "output": [ "c" ] }, { "id": "task1423-32a0e54cca6140419d2ba029fc71fe59", "input": "Problem: given two cylindrical containers - - a and b . cylinder a has a diameter of 12 meters and a height of 10 meters . cylinder b has a radius of 2 meters and a height of 4 meters . if cylinder a is filled to capacity with water , how many cylinder b will be filled to capacity with the content of cylinder a ? \nOptions: ['a ) 23', 'b ) 22', 'c ) 21', 'd ) 25', 'e ) 24']", "output": [ "b" ] }, { "id": "task1423-bb767c5df333494bb60360b2c8b7b5c3", "input": "Problem: the cube root of . 000216 is : \nOptions: ['a ) 0.6', 'b ) 0.06', 'c ) 0.9', 'd ) 0.2', 'e ) 0.61']", "output": [ "b" ] }, { "id": "task1423-6ffd9782bccb456698c5e95de64d07d7", "input": "Problem: in the coordinate plane , one of the vertices of a square is the point ( - 4 , - 4 ) . if the diagonals of that square intersect at point ( 3 , 2 ) , what is the area of that square ? \nOptions: a ) 180 , b ) 196 , c ) 160 , d ) 164 , e ) 172", "output": [ "b" ] }, { "id": "task1423-451b5bd307404cf3b7ac76523cbddb3e", "input": "Problem: the ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 5808 sq cm . what is the ratio of the width and the area of the rectangle ? \nOptions: a ) 1 : 76 , b ) 1 : 80 , c ) 1 : 84 , d ) 1 : 88 , e ) 1 : 92", "output": [ "d" ] }, { "id": "task1423-da1bca3510914c82a62ee9037b360c88", "input": "Problem: what will be the cost of building a fence around a square plot with area equal to 289 sq ft , if the price per foot of building the fence is rs . 55 ? \nOptions: a ) s . 3944 , b ) s . 3948 , c ) s . 3942 , d ) s . 3965 , e ) s . 3740", "output": [ "e" ] }, { "id": "task1423-9751c52ca3894033a17b569b70a6f166", "input": "Problem: you buy a piece of land with an area of â ˆ š 400 , how long is one side of the land plot ? \nOptions: a ) 28 , b ) 29 , c ) 30 , d ) 20 , e ) 32", "output": [ "d" ] }, { "id": "task1423-cc4cf9ac06ac4dfdaa0b12522c243ff1", "input": "Problem: if the length of rectangle is three times of its breadth . if the area of rectangle is 6075 sq . m , then calculate the length ? \nOptions: ['a ) 145', 'b ) 135', 'c ) 75', 'd ) 140', 'e ) none of these']", "output": [ "b" ] }, { "id": "task1423-fe3c7a1419b64997b423df778120095f", "input": "Problem: huey ' s hip pizza sells two sizes of square pizzas : a small pizza that measures 14 inches on a side and costs $ 10 , and a large pizza that measures 21 inches on a side and costs $ 20 . if two friends go to huey ' s with $ 30 apiece , how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone ? \nOptions: a ) 5 square inches , b ) 10 square inches , c ) 49 square inches , d ) 25 square inches , e ) 350 square inches", "output": [ "c" ] }, { "id": "task1423-71a7536f8b424709a4fe4e84419bd764", "input": "Problem: if the sides of a cube are in the ratio 4 : 3 . what is the ratio of their diagonals ? \nOptions: a ) 4 : 3 , b ) 4 : 8 , c ) 4 : 1 , d ) 4 : 2 , e ) 4 : 7", "output": [ "a" ] }, { "id": "task1423-b1892931e2e54d0aba8ffcf7118c068a", "input": "Problem: a rectangular swimming pool is 20 feet by 22 feet . a deck that has uniform width surrounds the pool . the total area of the pool and deck is 728 square feet . what is the width of the deck ? \nOptions: ['a ) 2', 'b ) 4', 'c ) 3', 'd ) 5', 'e ) 6']", "output": [ "c" ] }, { "id": "task1423-4526551ef59448a9977a8f1f62115351", "input": "Problem: rectangle a has sides a and b , and rectangle b has sides c and d . if a / c = b / d = 4 / 5 , what is the ratio of rectangle a ’ s area to rectangle b ’ s area ? \nOptions: a ) 5 / 4 , b ) 25 / 16 , c ) 4 / 5 , d ) 16 / 25 , e ) 16 / 5", "output": [ "d" ] }, { "id": "task1423-fc8b72f942264d95892e17a0437daeed", "input": "Problem: in the coordinate plane , one of the vertices of a square is the point ( - 3 , - 4 ) . if the diagonals of that square intersect at point ( 4 , 2 ) , what is the area of that square ? \nOptions: a ) 196 , b ) 125 , c ) 140 , d ) 128 , e ) 134", "output": [ "a" ] }, { "id": "task1423-39a82145e9354212bf19c3ab49de9687", "input": "Problem: find the smallest number which should be multiplied with 1152 to make it a perfect square . \nOptions: ['a ) 2', 'b ) 1', 'c ) 3', 'd ) 5', 'e ) 6']", "output": [ "a" ] }, { "id": "task1423-d315356293614f5c8200e0574144814f", "input": "Problem: the ratio of male to female in a class is 2 : 3 . the career preference of the students in the class are to be represented in a circle graph . if the area of the graph allocated to each career preference is to be proportional to the number of students who have that career preference , how many degrees of the circle should be used to represent a career that is preferred by one of the males and one of the females in the class ? \nOptions: ['a ) a ) 160 degree', 'b ) b ) 168 degree', 'c ) c ) 191 degree', 'd ) d ) 72 degree', 'e ) e ) 204 degree']", "output": [ "d" ] }, { "id": "task1423-8d6e55ab21f9446480e6e6b5ab887ffe", "input": "Problem: if the length of the sides of two cubes are in the ratio 4 : 1 , what is the ratio of their total surface area ? \nOptions: ['a ) 4 : 1', 'b ) 6 : 1', 'c ) 8 : 1', 'd ) 16 : 1', 'e ) 64 : 1']", "output": [ "d" ] }, { "id": "task1423-dcf1fbeaeeb84bba9fea7d4a18509244", "input": "Problem: a square carpet with an area 169 m 2 must have 2 metres cut - off one of its edges in order to be a perfect fit for a rectangular room . what is the area of rectangular room ? \nOptions: ['a ) 180 m 2', 'b ) 164 m 2', 'c ) 152 m 2', 'd ) 143 m 2', 'e ) none of these']", "output": [ "d" ] }, { "id": "task1423-5b9ee3a9aa814be1a58a4fcb26b91986", "input": "Problem: the length of a rectangle is 2 cm more than the width of the rectangle . the perimeter of the rectangle is 20 cm . find the length and the width of the rectangle . \nOptions: ['a ) l = 2 , w = 9', 'b ) l = 5 , w = 8', 'c ) l = 6 , w = 4', 'd ) l = 1 , w = 7', 'e ) l = 2 , w = 3']", "output": [ "c" ] }, { "id": "task1423-cda962b9a3094ceb84a97ed7ad154573", "input": "Problem: a small table has a length of 12 inches and a breadth of b inches . cubes are placed on the surface of the table so as to cover the entire surface . the maximum side of such cubes is found to be 4 inches . also , a few such tables are arranged to form a square . the minimum length of side possible for such a square is 48 inches . find b . \nOptions: a ) 8 , b ) 16 , c ) 24 , d ) 32 , e ) 48", "output": [ "b" ] }, { "id": "task1423-ba3ff422a9b64b029995a8114723f874", "input": "Problem: a 1.5 by 2 rectangle is inscribed in circle . what is the circumference of the circle ? \nOptions: ['a ) 2.5 π', 'b ) 3 π', 'c ) 3.5 π', 'd ) 4 π', 'e ) 5.5 π']", "output": [ "a" ] }, { "id": "task1423-fd6263caf2054caf8faeba1d44da6598", "input": "Problem: what is the perimeter of a square with area 9 p ^ 2 / 64 ? \nOptions: ['a ) 3 p / 2', 'b ) 3 p ^ 2 / 4', 'c ) 3 p', 'd ) 3 p ^ 2', 'e ) 4 p / 3']", "output": [ "a" ] }, { "id": "task1423-3c292303cd9a48a687ef139ca6aaf640", "input": "Problem: an order was placed for a carpet whose length and width were in the ratio of 3 : 2 . subsequently , the dimensions of the carpet were altered such that its length and width were in the ratio 1 : 1 but were was no change in its perimeter . what is the ratio of the areas of the carpets ? \nOptions: a ) 4 : 5 , b ) 9 : 10 , c ) 14 : 15 , d ) 19 : 20 , e ) 24 : 25", "output": [ "e" ] }, { "id": "task1423-cae842c9568741ea948eae4ba21626fd", "input": "Problem: the radius of a sphere is increased by 50 % . the increase in surface area of the sphere is : \nOptions: a ) 168 , b ) 125 , c ) 186 , d ) 197 , e ) 191", "output": [ "b" ] }, { "id": "task1423-f6c9b1b03ae24f1e8fba6eebcc3f6c6d", "input": "Problem: a circular ground whose diameter is 34 metres , has a 2 metre - broad garden around it . what is the area of the garden in square metres ? \nOptions: ['a ) 226.3', 'b ) 226.2', 'c ) 228.2', 'd ) 227', 'e ) 226']", "output": [ "a" ] }, { "id": "task1423-9d95985241a04e489f3fc0420e653ec7", "input": "Problem: a pyramid has a square base of 6 cm , and the four lateral faces are four congruent equilateral triangles . what is the total surface area of the pyramid in square cm ? \nOptions: ['a ) 36 + 18 * sqrt ( 3 )', 'b ) 36 + 36 * sqrt ( 3 )', 'c ) 72', 'd ) 72 + 36 * sqrt ( 3 )', 'e ) 72 + 72 * sqrt ( 3 )']", "output": [ "b" ] }, { "id": "task1423-dd9733dbeecc4bf0b5daf00598fd23df", "input": "Problem: the edge of three cubes of metal is 3 dm , 4 dm and 5 dm . they are melted and formed into a single cube . find the edge of the new cube ? \nOptions: ['a ) 2', 'b ) 8', 'c ) 7', 'd ) 6', 'e ) 9']", "output": [ "d" ] }, { "id": "task1423-794cd35fa8c94d0fb674c1e70529ca24", "input": "Problem: milk is poured from a full rectangular container with dimensions 4 inches by 9 inches by 10 inches into a cylindrical container with a diameter of 6 inches . if the milk does not overflow , how many inches high will the milk reach ? \nOptions: ['a ) 60 / π', 'b ) 24', 'c ) 40 / π', 'd ) 10', 'e ) 3 π']", "output": [ "c" ] }, { "id": "task1423-73a8083c2c1446829a2338f7b6d9791b", "input": "Problem: if n is the smallest integer such that 72 times n is the square of an integer , what is the value of n ? \nOptions: a ) 2 , b ) 3 , c ) 6 , d ) 12 , e ) 24", "output": [ "a" ] }, { "id": "task1423-39045b0a03ec4c4f8c23c9d6af8e7e2b", "input": "Problem: in measuring the sides of a rectangle , one side is taken 7 % in excess , and the other 6 % in deficit . find the error percent in the area calculated from these measurements . \nOptions: a ) 0.11 % , b ) 0.7 % , c ) 0.4 % , d ) 0.6 % , e ) 0.58 %", "output": [ "e" ] }, { "id": "task1423-3c47069848fa4490ad656a8570083571", "input": "Problem: how many diagonals does a polygon with 19 sides have , if one of its vertices does not connect to any diagonal ? \nOptions: a ) 135 , b ) 125 , c ) 120 , d ) 110 , e ) 140", "output": [ "a" ] }, { "id": "task1423-44311cc3d3c34c6c8d653c25e3593c09", "input": "Problem: it has been raining at the rate of 5 centimeters per hour . if the rain filled a cylindrical drum with a depth of 15 centimeters , and area 300 square centimeters , how long did it take to fill the drum completely ? \nOptions: ['a ) 3 hours', 'b ) 4 hours 15 minutes', 'c ) 6 hours', 'd ) 2 hours 5 minutes', 'e ) 8 hours']", "output": [ "a" ] }, { "id": "task1423-ce4deddd80fa406b9c8b69032cdca277", "input": "Problem: a rectangular field is to be fenced on three sides leaving a side of 34 feet uncovered . if the area of the field is 680 sq . ft , how many feet of fencing will be required ? \nOptions: a ) 74 ft , b ) 88 ft , c ) 22 ft , d ) 11 ft , e ) 66 ft", "output": [ "a" ] }, { "id": "task1423-75ec8766c423451e95a8ffbd00eeab71", "input": "Problem: if the side of the regular hexagon above is 2 , what is the circumference of the inscribed circle ? \nOptions: ['a ) 2 ∏ √ 3', 'b ) 3 ∏', 'c ) 4 ∏ / √ 3', 'd ) 2 ∏ / √ 3', 'e ) ∏ √ 3']", "output": [ "a" ] }, { "id": "task1423-3f1d58f573db45c99f2562f47b6889ca", "input": "Problem: the length of the rectangular field is double its width . inside the field there is square shaped pond 5 m long . if the area of the pond is 1 / 8 of the area of the field . what is the length of the field ? \nOptions: ['a ) 54', 'b ) 32', 'c ) 75', 'd ) 20', 'e ) 11']", "output": [ "d" ] }, { "id": "task1423-ff2fa207a5314988be061fd4ad97c70e", "input": "Problem: what is the angle between the hands of a clock when time is 10 : 20 ? \nOptions: a ) 90 deg , b ) 75 deg , c ) 45 deg , d ) 15 deg , e ) 30 deg", "output": [ "a" ] }, { "id": "task1423-ee71f91882004609b0e69295e5ddf477", "input": "Problem: a circular swimming pool is surrounded by a concrete wall 4 ft wide . if the area of the concrete wall surrounding the pool is 11 / 25 that of the pool , then the radius of the pool is ? \nOptions: a ) 22 , b ) 20 , c ) 88 , d ) 387 , e ) 19", "output": [ "b" ] }, { "id": "task1423-d11e8610a6334495bd5f02d31607df90", "input": "Problem: a rectangular lawn of dimensions 100 m * 60 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 3 per sq m ? \nOptions: a ) a ) 3820 , b ) b ) 930 , c ) c ) 9309 , d ) d ) 4500 , e ) e ) 8302", "output": [ "d" ] }, { "id": "task1423-86de18baac2d48df9048e152f582b6e3", "input": "Problem: in the coordinate plane , one of the vertices of a square is the point ( - 3 , - 4 ) . if the diagonals of that square intersect at point ( 5 , 3 ) , what is the area of that square ? \nOptions: a ) 100 , b ) 169 , c ) 225 , d ) 324 , e ) 256", "output": [ "e" ] }, { "id": "task1423-e984dc6504d94dd3a7409d38e191a9db", "input": "Problem: what is the area of square field whose side of length 12 m ? \nOptions: a ) 225 sq m , b ) 144 sq m , c ) 586 sq m , d ) 287 sq m , e ) 296 sq m", "output": [ "b" ] }, { "id": "task1423-d4c67f2ae88047fd9653687897fd9ede", "input": "Problem: what will be the cost of building a fence around a square plot with area equal to 289 square feet , if the price per foot of building the fence is rs . 58 ? \nOptions: a ) 3944 , b ) 3932 , c ) 3929 , d ) 3926 , e ) 3902", "output": [ "a" ] }, { "id": "task1423-7a371464a57445bd97a88cde23225184", "input": "Problem: a circular logo is enlarged to fit the lid of a jar . the new diameter is 40 per cent larger than the original . by what percentage has the area of the logo increased ? \nOptions: a ) 50 , b ) 96 , c ) 100 , d ) 125 , e ) 250", "output": [ "b" ] }, { "id": "task1423-20f6f27fa289438d828037409e0b7695", "input": "Problem: how many books each of volume 250 meter cube can be packed into a crate of volume 4500 meter cube \nOptions: a ) 25 , b ) can not be determined , c ) 10 , d ) 15 , e ) 20", "output": [ "b" ] }, { "id": "task1423-798241cff99940299ddd0b26044d5423", "input": "Problem: the length of a rectangle is halved , while its breadth is tripled . wa tis the % changein area ? \nOptions: ['a ) 34 %', 'b ) 45 %', 'c ) 50 %', 'd ) 60 %', 'e ) 67 %']", "output": [ "c" ] }, { "id": "task1423-44eddaf7ec114eb29ea9d00c5ea697a0", "input": "Problem: if a rectangular billboard has an area of 130 square feet and a perimeter of 46 feet , what is the length of each of the longer sides ? \nOptions: a ) 4 , b ) 7 , c ) 8 , d ) 13 , e ) 26", "output": [ "d" ] }, { "id": "task1423-28a59e03caa84a348e6c31c694b9d82a", "input": "Problem: the radius of a cylindrical vessel is 7 cm and height is 2 cm . find the whole surface of the cylinder ? \nOptions: a ) 281 , b ) 396 , c ) 440 , d ) 767 , e ) 1981", "output": [ "b" ] }, { "id": "task1423-5d82b9df190949dab5cc0089986d06a4", "input": "Problem: what is the perimeter of an isosceles right angled triangle . the area of the isosceles right angled triangle is 50 . \nOptions: ['a ) 25', 'b ) 36', 'c ) 25', 'd ) 30', 'e ) 34.14']", "output": [ "e" ] }, { "id": "task1423-552fa6508586464fb39c399e417ea8d9", "input": "Problem: the length of a rectangle is twice its breadth . if its length is decreased by 5 cm and breadth is increased by 4 cm , the area of the rectangle is increased by 75 sq . cm . find the length of the rectangle . \nOptions: a ) 20 cm , b ) 25 cm , c ) 26 cm , d ) 100 / 3 cm , e ) 23 cm", "output": [ "d" ] }, { "id": "task1423-f88dcc5fc1104d649d697bf6cc085693", "input": "Problem: a horse is tethered to one corner of a rectangular grassy field 42 m by 26 m with a rope 16 m long . over how much area of the field can it graze ? \nOptions: a ) 154 cm 2 , b ) 308 m 2 , c ) 201 m 2 , d ) 205 m 2 , e ) none of these", "output": [ "c" ] }, { "id": "task1423-7c5085b4ca1541adb8bd104b05ea8ab0", "input": "Problem: the points a ( 0 , 0 ) , b ( 0 , 4 a - 4 ) and c ( 2 a + 1 , 2 a + 6 ) form a triangle . if angle abc = 90 , what is the area of triangle abc ? \nOptions: a ) 88 , b ) 98 , c ) 108 , d ) 78 , e ) 90", "output": [ "a" ] }, { "id": "task1423-e3c2ac40ee994d5698429ac6664d03f3", "input": "Problem: a cube has a volume of 27 cubic feet . if a similar cube is twice as long , twice as wide , and twice as high , then the volume , in cubic feet of such cube is ? \nOptions: a ) 216 , b ) 48 , c ) 64 , d ) 80 , e ) 100", "output": [ "a" ] }, { "id": "task1423-5c88ea54f02a447e8645c2ff45c09992", "input": "Problem: the largest five digit number which is a perfect cube , is : \nOptions: ['a ) 85184', 'b ) 91125', 'c ) 97336', 'd ) 96806', 'e ) 99999']", "output": [ "c" ] }, { "id": "task1423-19c8f00d7c7e47e19c45b7f7fcc3984b", "input": "Problem: what is the length of the diagonal of a square whose area is 4 times of another square with diagonal as 5 v 2 cm ? \nOptions: ['a ) 20 v 2', 'b ) 10', 'c ) 10 v 2', 'd ) 20', 'e ) 25']", "output": [ "c" ] }, { "id": "task1423-a57b522cc361486197a332158df166e2", "input": "Problem: find the area of a parallelogram with base 18 cm and height 10 cm ? \nOptions: a ) 281 , b ) 284 , c ) 288 , d ) 255 , e ) 180", "output": [ "e" ] }, { "id": "task1423-073dd986c3204d21ac1c88088f2bdd5b", "input": "Problem: the sides of a square region , measured to the nearest centimeter , are 10 centimeters long . the least possible value of the actual area of the square region is \nOptions: a ) 96.25 sq cm , b ) 98.25 sq cm , c ) 92.25 sq cm , d ) 100.25 sq cm , e ) 90.25 sq cm", "output": [ "e" ] }, { "id": "task1423-9efc61440c24468286901cfa0adb3ff7", "input": "Problem: a rectangular with dimensions 35 inches by 45 inches is to be divided into squares of equal size . which of the following could be a length of a side of the squares ? \nOptions: ['a ) a ) 4 inches', 'b ) b ) 6 inches', 'c ) c ) 5 inches', 'd ) d ) 8 inches', 'e ) e ) 10 inches']", "output": [ "c" ] }, { "id": "task1423-c5fe157f37374ebca1a30d73bf487c65", "input": "Problem: the surface area of a sphere is 4 π r 2 , where r is the radius of the sphere . if the area of the base of a hemisphere is 3 , what is the surface area t of that hemisphere ? \nOptions: a ) 6 / π , b ) 9 / π , c ) 6 , d ) 9 , e ) 12", "output": [ "d" ] }, { "id": "task1423-09764e041c6e4b70b8a2fea5aa05f2ef", "input": "Problem: the slant height of a right circular cone is 10 m and its height is 8 m . find the area of its curved surface . \nOptions: ['a ) 30 pi m ^ 2', 'b ) 40 pi m ^ 2', 'c ) 60 pi m ^ 2', 'd ) 80 pi m ^ 2', 'e ) 100 pi m ^ 2']", "output": [ "c" ] }, { "id": "task1423-d2d02140b043435c8c5b5b0666420c90", "input": "Problem: if the difference between the length and breadth of a rectangle is 23 m and its perimeter is 226 m , what is its area ? \nOptions: a ) 2510 , b ) 2535 , c ) 3060 , d ) 2515 , e ) 2520", "output": [ "c" ] }, { "id": "task1423-948de0b56e3546bf8ec9c34be6fc4a50", "input": "Problem: the parameter of a square is equal to the perimeter of a rectangle of length 24 cm and breadth 16 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) \nOptions: a ) 77.14 cm , b ) 47.14 cm , c ) 84.92 cm , d ) 94.94 cm , e ) 31.42 cm", "output": [ "e" ] }, { "id": "task1423-443d7166e18e4d91a8214dda22a8cde3", "input": "Problem: if a rectangular room measures 9 meters by 5 meters by 4 meters , what is the volume of the room in cubic centimeters ? ( 1 meter = 100 centimeters ) \nOptions: a ) 24,000 , b ) 240,000 , c ) 18 , 000,000 , d ) 24 , 000,000 , e ) 240 , 000,000", "output": [ "c" ] }, { "id": "task1423-30ad0a9a6a504a4bae536b9426b992c3", "input": "Problem: in how many q ways can 5 people from a group of 6 people be seated around a circular table \nOptions: ['a ) 56', 'b ) 80', 'c ) 100', 'd ) 120', 'e ) 144']", "output": [ "e" ] }, { "id": "task1423-a0f6c9fe8f9f4becad84b9d7129036a2", "input": "Problem: find the smallest number which should be multiplied with 36963 to make it a perfect square . \nOptions: a ) 4 , b ) 7 , c ) 4 , d ) 3 , e ) 6", "output": [ "d" ] }, { "id": "task1423-eab7f7934ec94bf5b90205bb54c3074f", "input": "Problem: the length of a rectangle is two - seventh of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 5929 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 25 units ? \nOptions: ['a ) 660 sq . units', 'b ) 440 sq . units', 'c ) 770 sq . units', 'd ) 550 sq . units', 'e ) 220 sq . units']", "output": [ "d" ] }, { "id": "task1423-3d7bcd1627724595b2b0b7360bd48f46", "input": "Problem: carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 5 inches by 24 inches and jordan ' s rectangle is 12 inches long , how wide is jordan ' s rectangle , in inches ? \nOptions: a ) 25 , b ) 23 , c ) 22 , d ) 20 , e ) 10", "output": [ "e" ] }, { "id": "task1423-3eb93de0490746e4a3a006c757909d26", "input": "Problem: the area of a circle is added to its diameter , and the circumference is then subtracted from this total , the result is 10 . what is the radius of the circle ? \nOptions: ['a ) 2 * pi', 'b ) pi', 'c ) 2', 'd ) 4 * pi', 'e ) 4']", "output": [ "e" ] }, { "id": "task1423-c0067574ff5f4d8587e20dd00dd72221", "input": "Problem: an 11 - meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ? \nOptions: ['a ) 3 / 7', 'b ) 5 / 8', 'c ) 3 / 10', 'd ) 5 / 11', 'e ) 6 / 11']", "output": [ "e" ] }, { "id": "task1423-ba928ebc4208457c8c0c81dad035d398", "input": "Problem: a cylindrical bucket of height 36 cm and radius 21 cm is filled with sand . the bucket is emptied on the ground and a conical heap of sand is formed , the height of the heap being 12 cm . the radius of the heap at the base is : \nOptions: ['a ) 63 cm', 'b ) 53 cm', 'c ) 56 cm', 'd ) 66 cm', 'e ) none of these']", "output": [ "a" ] }, { "id": "task1423-9a13515a1a9d49a1aa695993db124f8c", "input": "Problem: a box measuring 49 inches long by 21 inches wide by 14 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ? \nOptions: a ) 17 , b ) 42 , c ) 54 , d ) 108 , e ) 864", "output": [ "b" ] }, { "id": "task1423-a7b39500f5864d4a8a9278f8fd13e1b5", "input": "Problem: the edge of a cube is 5 a cm . find its surface ? \nOptions: a ) 150 a 2 cm 2 , b ) 170 a 2 cm 2 , c ) 125 a 2 cm 2 , d ) 175 a 2 cm 2 , e ) 120 a 2 cm 2", "output": [ "a" ] }, { "id": "task1423-2493112c43e54de78636ba564fdb2b25", "input": "Problem: a certain rectangular window is three times as long as it is wide . if its perimeter is 32 feet , what are its dimensions in terms of length by width ? \nOptions: ['a ) 12 by 2', 'b ) 11 by 3', 'c ) 10.5 by 3.5', 'd ) 12 by 4', 'e ) 9 by 3']", "output": [ "d" ] }, { "id": "task1423-c7fae520df694be0bebafdcd61fa7a89", "input": "Problem: what is the angle between the hands of a clock when time is 16 : 40 ? \nOptions: a ) 625 deg , b ) 420 deg , c ) 145 deg , d ) 150 deg , e ) 300 deg", "output": [ "b" ] }, { "id": "task1423-5ebbae37b15f4af5a1be9363ef9f4bc7", "input": "Problem: the surface of a cube is 294 sq cm . find its volume ? \nOptions: a ) 8 cc , b ) 9 cc , c ) 2 cc , d ) 343 cc , e ) 6 cc", "output": [ "d" ] }, { "id": "task1423-3fdff582a81f4a8cab27fcb923a353f7", "input": "Problem: how many diagonals does a polygon with 13 sides have , if one of its vertices does not connect to any diagonal ? \nOptions: a ) 65 , b ) 62 , c ) 58 , d ) 54 , e ) 60", "output": [ "d" ] }, { "id": "task1423-eb06929e82b940b499523f9b06976c20", "input": "Problem: if the length of an edge of cube p is thrice the length of an edge of cube q , what is the ratio of the volume of cube q to the volume of cube p ? \nOptions: ['a ) 1 / 4', 'b ) 1 / 5', 'c ) 1 / 6', 'd ) 1 / 27', 'e ) 1 / 9']", "output": [ "d" ] }, { "id": "task1423-255e682d59964d1787ebeae8e8f6a898", "input": "Problem: if a rectangular billboard has an area of 91 square feet and a perimeter of 40 feet , what is the length of each of the shorter sides ? \nOptions: a ) 4 , b ) 7 , c ) 8 , d ) 13 , e ) 26", "output": [ "b" ] }, { "id": "task1423-a7826874a6004e4dbb838ec39dbe8a94", "input": "Problem: the area of a circular field is 13.86 hectares . find the cost of fencing it at the rate of rs . 4.60 per metre . \nOptions: a ) 2399 , b ) 3888 , c ) 2999 , d ) 5808 , e ) 6072", "output": [ "e" ] }, { "id": "task1423-e3eedf5bc6ae417db486de2735daf6b2", "input": "Problem: 108 . triangle a ’ s base is 12 % greater than the base of triangle b , and a ’ s height is 12 % less than the height of triangle b . the area of triangle a is what percent less or more than the area of triangle b ? \nOptions: a ) 9 % less , b ) 0.7 % less , c ) equal to each other , d ) 1 % more , e ) 9 % more", "output": [ "b" ] }, { "id": "task1423-eb2206ff564249569973e06de8eec422", "input": "Problem: the two sides of a triangle are 32 and 68 . the area is 960 sq . cm . find the third side of triangle ? \nOptions: ['a ) 45', 'b ) 50', 'c ) 60', 'd ) 70', 'e ) 80']", "output": [ "c" ] }, { "id": "task1423-5479fac907024a27b69110541923641c", "input": "Problem: the cost of the paint is rs . 30 per kg . if 1 kg of paint covers 18 sq . ft , how much will it cost to paint outside of a cube having 6 feet each side \nOptions: a ) rs . 962 , b ) rs . 672 , c ) rs . 540 , d ) rs . 876 , e ) none of these", "output": [ "c" ] }, { "id": "task1423-61c3febdd9194845b0f8dd00c6a9697f", "input": "Problem: a football field is 9600 square yards . if 1200 pounds of fertilizer are spread evenly across the entire field , how many pounds of fertilizer were spread over an area of the field totaling 5600 square yards ? \nOptions: ['a ) 450', 'b ) 600', 'c ) 700', 'd ) 2400', 'e ) 3200']", "output": [ "c" ] }, { "id": "task1423-5be0349b28f84aa986d911df08aaa6c8", "input": "Problem: how much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 13 inches than that of a rectangular sheet of paper measuring 6.5 inches by 11 inches ? \nOptions: ['a ) 50 %', 'b ) 87 %', 'c ) 100 %', 'd ) 187 %', 'e ) 200 %']", "output": [ "c" ] }, { "id": "task1423-b8b5ac8f4e1349d5ad45d334acf2eefd", "input": "Problem: the area of a square is equal to three times the area of a rectangle of dimensions 3 cm * 9 cm . what is the perimeter of the square ? \nOptions: a ) 30 , b ) 36 , c ) 46 , d ) 66 , e ) 76", "output": [ "b" ] }, { "id": "task1423-19ae06cffe9c4a71971555329b9018b4", "input": "Problem: the area of a square garden is a square feet and the perimeter is p feet . if a = 2 p + 26.25 , what is the perimeter of the garden , in feet ? \nOptions: a ) 28 , b ) 36 , c ) 40 , d ) 42 , e ) 64", "output": [ "d" ] }, { "id": "task1423-298fdd8644e94915a5cc1434c571a6f4", "input": "Problem: a diagonal of a polygon is an segment between two non - adjacent vertices of the polygon . how many diagonals does a regular 10 - sided polygon have ? \nOptions: a ) 875 , b ) 35 , c ) 1425 , d ) 2025 , e ) 2500", "output": [ "b" ] }, { "id": "task1423-d86d70aae3184241bf1915bfbf1e6089", "input": "Problem: what is the total surface area in square meters of a rectangular solid whose length is 8 meters , width is 7 meters , and depth is 4 meters ? \nOptions: a ) 132 m 2 , b ) 145 m 2 , c ) 165 m 2 , d ) 152 m 2 , e ) 120 m 2", "output": [ "a" ] }, { "id": "task1423-c2e24ae0067c440cac4ec46efffd568c", "input": "Problem: the parameter of a square is equal to the perimeter of a rectangle of length 22 cm and breadth 20 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . \nOptions: a ) 23.56 , b ) 33.0 , c ) 23.55 , d ) 23.53 , e ) 23.57", "output": [ "b" ] }, { "id": "task1423-654db161223c42cc9b4ed82d67df4ac2", "input": "Problem: the water level in a rectangular swimming pool measuring 20 feet by 25 feet is to be lowered by 6 inches . how many gallons of water must be removed ? ( 1 cu ft = 7.5 gallons ) \nOptions: ['a ) 100', 'b ) 250', 'c ) 1875', 'd ) 1200', 'e ) 5625']", "output": [ "c" ] }, { "id": "task1423-f7eaca72a8b1427ca9bb39cf858d60cd", "input": "Problem: if the length , breadth and the height of a cuboid are in the ratio 6 : 5 : 4 and if the total surface area is 33300 cm 2 cm 2 , then the length , breadth and height in cms , are respectively . \nOptions: ['a ) 90 , 85,60', 'b ) 85 , 75,60', 'c ) 90 , 75,70', 'd ) 90 , 75,60', 'e ) none']", "output": [ "d" ] }, { "id": "task1423-725d59bda68d4e8c8369d8a9e0bdcbea", "input": "Problem: the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 150 square centimeters , what is the length of the rectangle in centimeters ? \nOptions: a ) 15 , b ) 16 , c ) 17 , d ) 18 , e ) 19", "output": [ "a" ] }, { "id": "task1423-30e8a6587bb74e8a907cf20825de3dd1", "input": "Problem: a wooden cube whose edge length is 5 inches is composed of smaller cubes with edge lengths of one inch . the outside surface of the large cube is painted red and then it is split up into its smaller cubes . if one cube is randomly selected from the small cubes , what is the probability that the cube will have at least one red face ? \nOptions: a ) 70.6 % , b ) 74.5 % , c ) 78.4 % , d ) 82.1 % , e ) 86.9 %", "output": [ "c" ] }, { "id": "task1423-ce9a9ed72c004013bc4ff18efe1d3441", "input": "Problem: the length of rectangle is thrice its breadth and its perimeter is 40 m , find the area of the rectangle ? \nOptions: a ) 432 , b ) 212 , c ) 75 , d ) 992 , e ) 212", "output": [ "c" ] }, { "id": "task1423-5aba64602cf34f7692438c178d6adfbf", "input": "Problem: a rectangular block 15 cm by 30 cm by 75 cm is cut into an exact number of equal cubes . find the least possible number of cubes ? \nOptions: ['a ) 6', 'b ) 40', 'c ) 15', 'd ) 10', 'e ) 22']", "output": [ "d" ] }, { "id": "task1423-a48f808e43b74c6cad4406158ed7a80e", "input": "Problem: the perimeter of a triangle is 35 cm and the inradius of the triangle is 4.5 cm . what is the area of the triangle ? \nOptions: a ) 22 , b ) 75 , c ) 78 , d ) 54 , e ) 23", "output": [ "c" ] }, { "id": "task1423-3515ca87d4ec4d3f92e09156b5d22bd7", "input": "Problem: a rectangular field has a length 10 meters more than it is width . if the area of the field is 144 , what is the length ( in meters ) of the rectangular field ? \nOptions: a ) 16 , b ) 18 , c ) 20 , d ) 22 , e ) 24", "output": [ "b" ] }, { "id": "task1423-a1a9857e5c5c4f728f1c3f77af25d80f", "input": "Problem: the length and breadth of a rectangle is increased by 30 % and 45 % respectively . what is the increase in the area ? \nOptions: a ) 88.25 , b ) 87.5 , c ) 86.0 , d ) 88.0 , e ) 88.5", "output": [ "e" ] }, { "id": "task1423-a6035d808f28426ea4c2dc7e36858a3d", "input": "Problem: three table runners have a combined area of 208 square inches . by overlapping the runners to cover 80 % of a table of area 175 square inches , the area that is covered by exactly two layers of runner is 24 square inches . what is the area of the table that is covered with three layers of runner ? \nOptions: ['a ) 22 square inches', 'b ) 20 square inches', 'c ) 24 square inches', 'd ) 28 square inches', 'e ) 30 square inches']", "output": [ "a" ] }, { "id": "task1423-475e431b92784d79a5d559ec59b33dd4", "input": "Problem: what is the measure of the angle w made by the diagonals of the any adjacent sides of a cube . \nOptions: a ) 30 , b ) 45 , c ) 60 , d ) 75 , e ) 90", "output": [ "c" ] }, { "id": "task1423-1356a95e705440d184b0f87ad56e911c", "input": "Problem: the diagonal of a square is twice the side of equilateral triangle then the ratio of area of the triangle to the area of square is ? \nOptions: ['a ) 3 √ 9', 'b ) 3 √ 8', 'c ) 3 √ 7', 'd ) 3 √ 5', 'e ) 3 √ 1']", "output": [ "b" ] }, { "id": "task1423-611c5dae2f8b46ad8b565d43b85e323b", "input": "Problem: danny is sitting on a rectangular box . the area of the front face of the box is half the area of the top face , and the area of the top face is 1.5 times the area of the side face . if the volume of the box is 192 , what is the area of the side face of the box ? \nOptions: a ) 13 , b ) 16 , c ) 18 , d ) 29 , e ) 32", "output": [ "e" ] }, { "id": "task1423-de9e8c5c8d974b51a766ba7079bf30b8", "input": "Problem: a football field is 7200 square yards . if 1200 pounds of fertilizer are spread evenly across the entire field , how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards ? \nOptions: a ) 450 , b ) 600 , c ) 750 , d ) 2400 , e ) 3200", "output": [ "b" ] }, { "id": "task1423-9852524032e54f359f84468538c3027e", "input": "Problem: the ratio of the volumes of two cubes is 729 : 343 . what is the ratio of their total surface areas ? \nOptions: a ) 81 : 49 , b ) 81 : 122 , c ) 81 : 124 , d ) 81 : 126 , e ) 81 : 129", "output": [ "a" ] }, { "id": "task1423-6726c127e1c84b059a911a40c8ce129f", "input": "Problem: in two triangles , the ratio of the areas is 4 : 3 and the ratio of their heights is 3 : 4 . find the ratio of their bases . \nOptions: ['a ) 2 : 3', 'b ) 4 : 5', 'c ) 16 : 9', 'd ) 7 : 9', 'e ) 8 : 5']", "output": [ "c" ] }, { "id": "task1423-baab5a6cddcb48aa8d7aa903c3b77997", "input": "Problem: a rectangular lawn of length 200 m by 120 m has two roads running along its center , one along the length and the other along the width . if the width of the roads is 5 m what is the area covered by the two roads ? \nOptions: ['a ) 400', 'b ) 1550', 'c ) 1575', 'd ) 1600', 'e ) 1625']", "output": [ "c" ] }, { "id": "task1423-49000b3a3e914fab8a7c4edcbcf837b3", "input": "Problem: the perimeter of a triangle is 36 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ? \nOptions: a ) 38 cm 2 , b ) 27 cm 2 , c ) 45 cm 2 , d ) 25 cm 2 , e ) 35 cm 2", "output": [ "c" ] }, { "id": "task1423-6f8ffea63408440db9234bec960c79ce", "input": "Problem: the slant height of a cone is 18 cm and radius of the base is 8 cm , find the curved surface of the cone ? \nOptions: a ) 26 , b ) 452 , c ) 450 , d ) 440 , e ) 28", "output": [ "b" ] }, { "id": "task1423-4070dd4f433046f7af6d4656b28abfbd", "input": "Problem: a squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 4 feet . how many feet does the squirrel travels if the post is 12 feet tall and 3 feet in circumference ? \nOptions: a ) 9 feet , b ) 12 feet , c ) 13 feet , d ) 15 feet , e ) 18 feet", "output": [ "a" ] }, { "id": "task1423-24172e813df942e182c851edc7b39ecd", "input": "Problem: what is the angle between the two hands of a clock when time is 8 : 30 \nOptions: a ) 15 degree , b ) 45 degree , c ) 55 degree , d ) 75 degree , e ) 65 degree", "output": [ "d" ] }, { "id": "task1423-ae33e3199f2c4198af23e21ed0ad9bfd", "input": "Problem: a hall is 6 meters long and 6 meters wide . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , what is the volume of the hall ( in cubic meters ) ? \nOptions: a ) 96 , b ) 100 , c ) 104 , d ) 108 , e ) 112", "output": [ "d" ] }, { "id": "task1423-c08206b663564b48924700584eeee34b", "input": "Problem: in may , the grounds keeper at spring lake golf club built a circular green with an area of 36 π square feet . in august , he doubled the distance from the center of the green to the edge of the green . what is the total area of the renovated green ? \nOptions: ['a ) 100 pi', 'b ) 144 pi', 'c ) 70', 'd ) 80', 'e ) 90']", "output": [ "b" ] }, { "id": "task1423-6f8522f9b4354fde8bc20265c5f1d0f7", "input": "Problem: a snooker tournament charges $ 40.00 for vip seats and $ 15.00 for general admission ( “ regular ” seats ) . on a certain night , a total of 300 tickets were sold , for a total cost of $ 7,500 . how many fewer tickets were sold that night for vip seats than for general admission seats ? \nOptions: a ) 190 , b ) 180 , c ) 150 , d ) 200 , e ) 300", "output": [ "d" ] }, { "id": "task1423-944dcfa2fba94d199a49cb9454f34692", "input": "Problem: the perimeter of one square is 40 cm and that of another is 20 cm . find the perimeter and the diagonal of a square which is equal in area to these two combined ? \nOptions: a ) 11.2 √ 2 , b ) 13 √ 2 , c ) 23 √ 2 , d ) 12 √ 4 , e ) 13 √ 9", "output": [ "a" ] }, { "id": "task1423-e1269300c307437780970572b3a2e9b7", "input": "Problem: the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 96 square centimeters , what is the length of the rectangle in centimeters ? \nOptions: a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15", "output": [ "b" ] }, { "id": "task1423-3f8f3e6151d8457aba7d83f118bd8d98", "input": "Problem: the perimeter of a square is equal to the perimeter of a rectangle of length 19 cm and breadth 14 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) \nOptions: a ) 22.78 , b ) 23.54 , c ) 23.5 , d ) 24.55 , e ) 25.93", "output": [ "e" ] }, { "id": "task1423-effaad2494c548c59764ac3f7bd68d47", "input": "Problem: sand is poured into a box so that the box is being filled at the rate of 4 cubic feet per hour . if the empty rectangular box is 7 feet long , 6 feet wide , and 2 feet deep , approximately how many hours does it take to fill the box ? \nOptions: ['a ) 20', 'b ) 21', 'c ) 22', 'd ) 23', 'e ) 24']", "output": [ "b" ] }, { "id": "task1423-8c2c351e06634ae59003540b12d0acc8", "input": "Problem: if the length of the longest chord of a certain circle is 22 , what is the radius of that certain circle ? \nOptions: a ) 11 , b ) 5 , c ) 10 , d ) 15 , e ) 20", "output": [ "a" ] }, { "id": "task1423-f6887e13125d4b9891771fc68e061247", "input": "Problem: the area of a triangle is with base 8.4 m and height 5.8 m ? \nOptions: a ) 11.36 m 2 , b ) 10.36 m 2 , c ) 18.36 m 2 , d ) 19.36 m 2 , e ) 24.36 m 2", "output": [ "e" ] }, { "id": "task1423-ce9e492c8f0e406ea53d2325462f728b", "input": "Problem: a crate measures 3 feet by 8 feet by 12 feet on the inside . a stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides . what is the radius , in feet , of the pillar with the largest volume that could still fit in the crate ? \nOptions: a ) 27 , b ) 3 , c ) 6 , d ) 8 , e ) 12", "output": [ "b" ] }, { "id": "task1423-d09bbbfdc23941cbbfedc55481fecaa4", "input": "Problem: the total surface area of a cuboid length 12 m , breadth 10 m and height 8 m . \nOptions: ['a ) 576', 'b ) 566', 'c ) 596', 'd ) 556', 'e ) 586']", "output": [ "c" ] }, { "id": "task1423-e78dd4cd206941c6a919197177dd59e8", "input": "Problem: the radii of two cones are in ratio 2 : 1 , their volumes are equal . find the ratio of their heights . \nOptions: ['a ) 1 : 4', 'b ) 1 : 3', 'c ) 1 : 2', 'd ) 1 : 5', 'e ) none of these']", "output": [ "a" ] }, { "id": "task1423-a18beb535e3f47d783d6e8ee29d8af56", "input": "Problem: calculate the area of a triangle , if the sides of are 39 cm , 36 cm and 15 cm , what is its area ? \nOptions: a ) 570 cm 2 , b ) 370 cm 2 , c ) 170 cm 2 , d ) 271 cm 2 , e ) 270 cm 2", "output": [ "e" ] }, { "id": "task1423-18f3efbf8e91474b8b351ac0dd1a895e", "input": "Problem: the ratio of the volumes of two cubes is 729 : 2197 . what is the ratio of their total surface areas ? \nOptions: a ) 81 : 169 , b ) 81 : 122 , c ) 81 : 124 , d ) 81 : 126 , e ) 81 : 129", "output": [ "a" ] }, { "id": "task1423-e8c33dcc981e4ef39a97a768d5df9e17", "input": "Problem: if the radius of a circle that centers at the origin is 5 , how many points q on the circle have integer coordinates ? \nOptions: a ) 4 , b ) 8 , c ) 12 , d ) 15 , e ) 20", "output": [ "c" ] }, { "id": "task1423-9daeb6161928430ab39cbf8042c5840e", "input": "Problem: the sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 300 m , its area is ? \nOptions: ['a ) 3000 sq m', 'b ) 1878 sq m', 'c ) 2789 sq m', 'd ) 26811 sq m', 'e ) 29762 sq m']", "output": [ "a" ] }, { "id": "task1423-58a3ae6de250471c80bae8baeb71e84b", "input": "Problem: find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm ? \nOptions: a ) 188 cm 2 , b ) 150 cm 2 , c ) 168 cm 2 , d ) 198 cm 2 , e ) 987 cm 2", "output": [ "b" ] }, { "id": "task1423-6b457636c1b149b08da919448ab30ac1", "input": "Problem: the size of a television screen is given as the length of the screen ' s diagonal . if the screens were flat , then the area of a square 22 - inch screen would be how many square inches greater than the area of a square 20 - inch screen ? \nOptions: a ) 2 , b ) 4 , c ) 16 , d ) 42 , e ) 40", "output": [ "d" ] }, { "id": "task1423-e5cf8ce63b984ad4bfc250ee5c88bc99", "input": "Problem: in the figure given below , abc and cde are two identical semi - circles of radius 2 units . b and d are the mid points of the arc abc and cde respectively . what is the area of the shaded region ? \nOptions: ['a ) 4 π - 1', 'b ) 3 π - 1', 'c ) 2 π - 4', 'd ) ½ ( 3 π - 1 )', 'e ) 2 π - 2']", "output": [ "c" ] }, { "id": "task1423-00303bd509ed48d59a9ad9bd0547a51c", "input": "Problem: the perimeter of a triangle is 22 cm and the inradius of the triangle is 3.5 cm . what is the area of the triangle ? \nOptions: a ) 22 , b ) 35 , c ) 77 , d ) 54 , e ) 38", "output": [ "e" ] }, { "id": "task1423-3e62d2dc0b5f4389ba5aa6b3e69b3fae", "input": "Problem: triangle xyz is an isosceles right triangle . if side xy is longer than side yz , and the area of the triangle is 64 , what is the measure of side xy ? \nOptions: a ) 4 , b ) 16 , c ) 8 , d ) 8 √ 2 , e ) can not be determined from the information provided", "output": [ "b" ] }, { "id": "task1423-2aafd5c2d0ec4345a7f23ee316512ff2", "input": "Problem: the mass of 1 cubic meter of a substance is 500 kilograms under certain conditions . what is the volume , in cubic centimeters , of 1 gram of this substance under these conditions ? ( 1 kilogram = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters ) \nOptions: a ) 0.8 , b ) 1.25 , c ) 2.0 , d ) 2.5 , e ) 80.0", "output": [ "c" ] }, { "id": "task1423-4fb5b434c7e241b584d0ab749491cd3b", "input": "Problem: the length of a rectangular plot is thrice its width . if the area of the rectangular plot is 588 sq meters , then what is the width ( in meters ) of the rectangular plot ? \nOptions: a ) 14 , b ) 16 , c ) 18 , d ) 20 , e ) 22", "output": [ "a" ] }, { "id": "task1423-03cf28c21ca740168619bc6c10403969", "input": "Problem: there is a square with sides of 13 . what is the area of the biggest circle that can be cut out of this square ? \nOptions: a ) 132.73 , b ) 231.92 , c ) 530.93 , d ) 113.1 , e ) 204.33", "output": [ "a" ] }, { "id": "task1423-3895d8c57691486887aa9491b8cd162b", "input": "Problem: the monthly rent of a shop of dimension 18 feet × 20 feet is rs . 3600 . what is the annual rent per square foot of the shop ? \nOptions: a ) 120 , b ) 56 , c ) 68 , d ) 87 , e ) 92", "output": [ "a" ] }, { "id": "task1423-d8b33df6e84a4385808bdcac280f69c8", "input": "Problem: a metallic sheet is of rectangular shape with dimensions 48 m x 38 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m 3 ) is : \nOptions: a ) 4830 , b ) 5632 , c ) 6420 , d ) 7500 , e ) 8960", "output": [ "b" ] }, { "id": "task1423-ea8f3440747646cca060e77a5644d957", "input": "Problem: in triangle pqr , the angle q = 90 degree , pq = 3 cm , qr = 8 cm . x is a variable point on pq . the line through x parallel to qr , intersects pr at y and the line through y , parallel to pq , intersects qr at z . find the least possible length of xz \nOptions: a ) 3.6 cm , b ) 2.4 cm , c ) 4.8 cm , d ) 2.16 cm , e ) 3.2 cm", "output": [ "b" ] }, { "id": "task1423-d65c2440bb9a49e4b0941e2a4f98959f", "input": "Problem: the area of a square field is 900 km 2 . how long will it take for a horse to run around at the speed of 12 km / h ? \nOptions: ['a ) 12 h', 'b ) 10 h', 'c ) 8 h', 'd ) 6 h', 'e ) none of these']", "output": [ "b" ] }, { "id": "task1423-baeb454378b242e3b5a3f50dfa3f1c00", "input": "Problem: the area of a triangle will be when a = 3 m , b = 4 m , c = 5 m , a , b , c being lengths of respective sides ? \nOptions: a ) 3 , b ) 6 , c ) 4 , d ) 9 , e ) 1", "output": [ "b" ] }, { "id": "task1423-c050380b65f5454c88c71cbe9c5936e9", "input": "Problem: a circular well with a diameter of 2 metres , is dug to a depth of 8 metres . what is the volume of the earth dug out ? \nOptions: a ) 32 m 3 , b ) 25.1 m 3 , c ) 40 m 3 , d ) 44 m 3 , e ) none", "output": [ "b" ] }, { "id": "task1423-834fd1096c864b24b76f16e2b7fa8103", "input": "Problem: the parameter of a square is equal to the perimeter of a rectangle of length 18 cm and breadth 10 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . \nOptions: a ) 44.0 , b ) 23.59 , c ) 23.55 , d ) 23.53 , e ) 23.57", "output": [ "a" ] }, { "id": "task1423-5e628bb124df46809868b1274eadb858", "input": "Problem: the area of a square field is 24200 sq m . how long will a lady take to cross the field diagonally at the rate of 6.6 km / hr ? \nOptions: a ) 3 minutes , b ) 0.04 hours , c ) 2 minutes , d ) 2.4 minutes , e ) 2 minutes 40 seconds", "output": [ "c" ] }, { "id": "task1423-07a89f1d05e14207bf2ab49d0c6b82cf", "input": "Problem: the area of a rectangular plot is 15 times its breadth . if the difference between the length and the breadth is 10 metres , what is its breadth ? \nOptions: a ) 10 metres , b ) 5 metres , c ) 7.5 metres , d ) data inadequate , e ) none of these", "output": [ "b" ] }, { "id": "task1423-b9a49378ee2d44f79c667648697ada5d", "input": "Problem: the diagonal of a square is 40 m . the area of the square is : \nOptions: ['a ) 600', 'b ) 900', 'c ) 800', 'd ) 500', 'e ) 400']", "output": [ "c" ] }, { "id": "task1423-4b2ee16184ea465b872161f66438d758", "input": "Problem: you buy a piece of land with an area of √ 900 , how long is one side of the land plot ? \nOptions: ['a ) 28', 'b ) 29', 'c ) 30', 'd ) 31', 'e ) 32']", "output": [ "c" ] }, { "id": "task1423-168943330a074a40bcb562ef2164ec0b", "input": "Problem: the length of each side of square a is increased by 100 percent to make square b . if the length of the side of square b is increased by 80 percent to make square c , by what percent is the area of square c greater than the sum of the areas of squares a and b ? \nOptions: a ) 75 % , b ) 80 % , c ) 100 % , d ) 150 % , e ) 159.2 %", "output": [ "e" ] }, { "id": "task1423-b0575c2ce5d747b3adb5d929d421f129", "input": "Problem: a circular ground whose diameter is 35 metres , has a 1.4 metre - broad garden around inside of it . what is the area of the garden in square metres ? \nOptions: a ) 301.5 , b ) 484.12 , c ) 401.84 , d ) 301.0 , e ) 301.84", "output": [ "e" ] }, { "id": "task1423-096022ea04b448d9849f657e4f1148da", "input": "Problem: the perimeter of an isosceles right triangle is 4 + 4 sq rt 2 . what is the length of the hypotenuse of the triangle ? \nOptions: a ) 2.82 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "a" ] }, { "id": "task1423-4796618763334837b43b863585b7bc26", "input": "Problem: the volume of a cube is 1000 cc . find its surface . \nOptions: a ) 864 , b ) 556 , c ) 255 , d ) 600 , e ) 267", "output": [ "d" ] }, { "id": "task1423-f9bcfc882d4c4400a3c43cbb93dd3ef8", "input": "Problem: how many internal diagonals does a octagon ( eight sided polygon ) have ? \nOptions: ['a ) 90', 'b ) 85', 'c ) 70', 'd ) 35', 'e ) 20']", "output": [ "e" ] }, { "id": "task1423-593c5db6a01548acac37f7a2339b2e90", "input": "Problem: if paint costs $ 3.10 per quart , and a quart covers 20 square feet , how much will it cost to paint the outside of a cube 10 feet on each edge ? \nOptions: a ) $ 1.60 , b ) $ 16.00 , c ) $ 93.00 , d ) $ 108.00 , e ) $ 196.00", "output": [ "c" ] }, { "id": "task1423-09c274a904fd4fefb30d5cb991c2ef6e", "input": "Problem: a square was given . inside the square there are white tiles and black tiles . black tiles was among the diagonal of the square and dimensions of both white as well as black tiles is 1 cm x 1 cm . if there are 81 black tiles in the square . then find the no of white tiles in it . \nOptions: ['a ) 2399', 'b ) 1600', 'c ) 2679', 'd ) 1697', 'e ) 1711']", "output": [ "b" ] }, { "id": "task1423-c3c1d59d146d479b8319695b533b3636", "input": "Problem: a cube of edge 7 cm is cut into cubes each of edge 1 cm . the ratio of the total surface area of one of the small cubes to that of the large cube is equal to : \nOptions: a ) 1 : 25 , b ) 1 : 49 , c ) 1 : 52 , d ) 1 : 522 , e ) none", "output": [ "b" ] }, { "id": "task1423-bda4c9ce4156413b97fe4e1835edb5ca", "input": "Problem: in may , the grounds keeper at spring lake golf club built a circular green with an area of 81 π square feet . in august , he doubled the distance from the center of the green to the edge of the green . what is the total area of the renovated green ? \nOptions: a ) 100 pi , b ) 144 pi , c ) 196 pi , d ) 256 pi , e ) 324 pi", "output": [ "e" ] }, { "id": "task1423-8327fb9a7db04992ac78c8c62c247437", "input": "Problem: if the sides of a triangle are 26 cm , 18 cm and 10 cm , what is its area ? \nOptions: ['a ) 90', 'b ) 110', 'c ) 130', 'd ) 140', 'e ) 150']", "output": [ "a" ] }, { "id": "task1423-d1cbe6f4c9334e029b74f6195f2ac8e1", "input": "Problem: the dimensions of a room are 25 feet * 15 feet * 12 feet . what is the cost of white washing the 4 walls of the room at rs . 3 per square feet if there is one door of dimensions 6 feet * 3 feet and 3 windows of dimensions 4 feet * 3 feet each ? \nOptions: a ) s . 4528 , b ) s . 4520 , c ) s . 4527 , d ) s . 4530 , e ) s . 2718", "output": [ "e" ] }, { "id": "task1423-c254443f0bab40fca9d9f907ad5b029b", "input": "Problem: a certain cube floating in a bucket of water has between 75 and 85 percent of its volume below the surface of the water . if between 9 and 16 cubic centimeters of the cube ' s volume is above the surface of the water , then the length of a side of the cube is approximately \nOptions: ['a ) 4', 'b ) 5', 'c ) 7', 'd ) 8', 'e ) 9']", "output": [ "a" ] }, { "id": "task1423-6b0877a479c947ec8c778ca5b4ac4369", "input": "Problem: if y is the smallest positive integer such that 7350 multiplied by y is the square of an integer , then y must be \nOptions: a ) 2 , b ) 5 , c ) 6 , d ) 7 , e ) 14", "output": [ "c" ] }, { "id": "task1423-9e2a5100e44342d0982159ec8b795f78", "input": "Problem: a cheese factory sells its cheese in rectangular blocks . a normal block has a volume of 8 cubic feet . if a small block has half the width , half the depth , and half the length of a normal block , what is the volume of cheese in a small block in cubic feet ? \nOptions: a ) 1 , b ) 5 , c ) 4 , d ) 6 , e ) 2", "output": [ "a" ] }, { "id": "task1423-30b820fca85748ab8654f836db7f3104", "input": "Problem: the area of a rectangular field is equal to 750 square meters . its perimeter is equal to 110 meters . find the width of this rectangle . \nOptions: ['a ) 5', 'b ) 10', 'c ) 15', 'd ) 20', 'e ) 25']", "output": [ "e" ] }, { "id": "task1423-f71f123565a6414eb57b230141e2601c", "input": "Problem: three runners running around a circular track can complete one revolution in 2 , 4 and 5.5 respectively . when will they meet at starting point ? \nOptions: ['a ) 40 h', 'b ) 44 h', 'c ) 38 h', 'd ) 20 h', 'e ) 22 h']", "output": [ "b" ] }, { "id": "task1423-9bc853923e604b82b1f8eaddb3cae949", "input": "Problem: a rectangular tiled patio is composed of 40 square tiles . the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles . after the change in layout , the patio will still have 40 tiles , and it will still be rectangular . how many rows are in the tile patio before the change in layout ? \nOptions: a ) 5 , b ) 6 , c ) 10 , d ) 13 , e ) 28", "output": [ "b" ] }, { "id": "task1423-dd8f5f53ce264200bc34c54ea0277361", "input": "Problem: if k and w are the dimensions of a rectangle that has area 40 , and if k and w are integers such that k > w , what is the total number of possible values of k ? \nOptions: a ) two , b ) three , c ) four , d ) five , e ) six", "output": [ "c" ] }, { "id": "task1423-1adadb2d7beb49da96fa0feacea22038", "input": "Problem: the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 294 sq . cm , what is the width of the rectangle ? \nOptions: a ) 10 cm , b ) 12 cm , c ) 14 cm , d ) 16 cm , e ) 18 cm", "output": [ "c" ] }, { "id": "task1423-f903766f66254a318a770e35172bffe0", "input": "Problem: a metallic sheet is of rectangular shape with dimensions 48 m x 36 m . from each of its corner , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m 3 ) is \nOptions: a ) 6420 , b ) 8960 , c ) 5120 , d ) 4830 , e ) none", "output": [ "c" ] }, { "id": "task1423-cf95562cd8dd4dc199bf1e990f7b8bd1", "input": "Problem: if a 2 cm cube is cut into 1 cm cubes , then what is the percentage increase in the surface area of the resulting cubes ? \nOptions: a ) 50 % , b ) 100 % , c ) 150 % , d ) 200 % , e ) 250 %", "output": [ "b" ] }, { "id": "task1423-8f8b7a79c74548d9873cdb146ac31e75", "input": "Problem: a circular logo is enlarged to fit the lid of a jar . the new diameter is 10 per cent larger than the original . by what percentage has the area of the logo increased ? \nOptions: a ) 50 , b ) 80 , c ) 100 , d ) 125 , e ) 21", "output": [ "e" ] }, { "id": "task1423-db61d4278ccb40c2a4dcb5f44d4381b5", "input": "Problem: the length of a rectangular plot is 10 mtr more than its width . the cost of fencing the plot along its perimeter at the rate of rs . 6.5 mtr is rs . 1690 . the perimeter of the plot is ? \nOptions: a ) 126 , b ) 156 , c ) 190 , d ) 321 , e ) 260", "output": [ "e" ] }, { "id": "task1423-bfac8e954c674d5d872202f3f78790fe", "input": "Problem: a math teacher has 25 cards , each of which is in the shape of a geometric figure . half of the cards are rectangles , and a third of the cards are rhombuses . if 8 cards are squares , what is the maximum possible number of cards that re circles . \nOptions: a ) 8 , b ) 10 , c ) 11 , d ) 12 , e ) 13", "output": [ "a" ] }, { "id": "task1423-77f35929cc964bbe9bf5dcf5099d3525", "input": "Problem: the ratio , by volume , of soap to alcohol to water in a certain solution is 4 : 40 : 90 . the solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved . if the altered solution will contain 200 cubic centimeters of alcohol , how many cubic centimeters of water will it contain ? \nOptions: ['a ) 1300', 'b ) 1500', 'c ) 1600', 'd ) 1700', 'e ) 1800']", "output": [ "e" ] }, { "id": "task1423-93389bee4fec4f4fa77314089d63cb3d", "input": "Problem: if the area of a circle is 144 pi square feet , find its circumference . \nOptions: ['a ) 65 pi feet', 'b ) 24 pi feet', 'c ) 42 pi feet', 'd ) 18 pi feet', 'e ) 64 pi feet']", "output": [ "b" ] }, { "id": "task1423-557173f6233a44eab792c9ae04811b3f", "input": "Problem: if the sum of a number and its square is 210 , what is the number ? \nOptions: a ) 16 , b ) 14 , c ) 25 , d ) 87 , e ) 171", "output": [ "b" ] }, { "id": "task1423-6202f3147117462b954a70990b114af0", "input": "Problem: abcd is a square where ab = â ˆ š 6000 . let x be a point on ab and y be a point on cd such that ax = cy . compute the area of trapezoid axyd . \nOptions: a ) 3008 , b ) 2002 , c ) 1008 , d ) 2016 , e ) 3000", "output": [ "e" ] }, { "id": "task1423-21b305238b8645d6a385578bbac24015", "input": "Problem: the size of a television screen is given as the length of the screen ' s diagonal . if the screens were flat , then the area of a square 18 - inch screen would be how many square inches greater than the area of a square 16 - inch screen ? \nOptions: ['a ) 2', 'b ) 4', 'c ) 34', 'd ) 38', 'e ) 40']", "output": [ "c" ] }, { "id": "task1423-03d7f646f57340b6a0f21b314cbb2f93", "input": "Problem: 14 business executives and 7 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ? \nOptions: a ) 144 , b ) 131 , c ) 115 , d ) 189 , e ) 45", "output": [ "d" ] }, { "id": "task1423-c5afa4bebb994472b0adfad4c0ed3681", "input": "Problem: if the difference between the length and breadth of a rectangle is 23 m and its perimeter is 266 m , what is its area ? \nOptions: a ) 4290 , b ) 2535 , c ) 2530 , d ) 2515 , e ) 2520", "output": [ "a" ] }, { "id": "task1423-ffca1e3e4a4c4c79b5182035bd019173", "input": "Problem: the diagonals of a rhombus are 25 cm and 30 cm . find its area ? \nOptions: a ) 250 , b ) 300 , c ) 375 , d ) 550 , e ) 750", "output": [ "c" ] }, { "id": "task1423-d6b84ad3084e4e32827166d68eaef627", "input": "Problem: find the smallest number that should be multiplied with 54000 to make it a perfect cube . \nOptions: ['a ) 4', 'b ) 5', 'c ) 6', 'd ) 3', 'e ) 7']", "output": [ "a" ] }, { "id": "task1423-f248c474532249e796d2e256bd835ae7", "input": "Problem: the sides of a square region , measured to the nearest centimeter , are 9 centimeters long . the least possible value of the actual area of the square region is \nOptions: a ) 60.25 sq cm , b ) 66.25 sq cm , c ) 56.25 sq cm , d ) 72.25 sq cm , e ) 58.25 sq cm", "output": [ "c" ] }, { "id": "task1423-000ab5af3f844dc08e2f14dcb1aef109", "input": "Problem: a rectangular metallic piece of paper that covers exactly the area of a cube . the length of the piece of paper is 96 inches and the width is 72 inches . what is the volume of the cube in cubic feet is 1 feet is 12 inches ? \nOptions: ['a ) a 64', 'b ) b 22', 'c ) c 27', 'd ) d 40', 'e ) e 50']", "output": [ "a" ] }, { "id": "task1423-36a8e17dc3384b928c804350105697d1", "input": "Problem: all the faces of cubes are painted with red colour . it is then cut into 64 equal small cubes . find how many small cubes have only one face coloured ? \nOptions: a ) 4 , b ) 8 , c ) 16 , d ) 24 , e ) 2", "output": [ "d" ] }, { "id": "task1423-e914bf1d6d614d659039d768fdfdf77b", "input": "Problem: how many internal diagonals does a pentagon ( five sided polygon ) have ? \nOptions: a ) 5 , b ) 8 , c ) 9 , d ) 10 , e ) 12", "output": [ "a" ] }, { "id": "task1423-a15f662a0aed47ca8c34deb1d2209e73", "input": "Problem: one side of a rectangle is 3 cm shorter than the other side . if we increase the length of each side by 1 cm , then the area of the rectangle will increase by 20 cm 2 . find the lengths of all sides . \nOptions: a ) 10 and 3 , b ) 7 and 10 , c ) 11 and 8 , d ) 3 and 10 , e ) 10 and 10", "output": [ "c" ] }, { "id": "task1423-8d757b494c224be2b69ab8ac0b6d075e", "input": "Problem: the perimeter of a triangle is 40 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ? \nOptions: a ) 87 cm 2 , b ) 28 cm 2 , c ) 98 cm 2 , d ) 26 cm 2 , e ) 50 cm 2", "output": [ "e" ] }, { "id": "task1423-777688354af34c318a12ed929e6a5fc5", "input": "Problem: the product of the squares of two positive integers is 9 . how many pairs of positive integers satisfy this condition ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "b" ] }, { "id": "task1423-37d19729687a4c93b5a3baa0c31df539", "input": "Problem: the surface of a cube is 54 sq cm . find its volume ? \nOptions: a ) 8 cc , b ) 27 cc , c ) 2 cc , d ) 4 cc , e ) 6 cc", "output": [ "b" ] }, { "id": "task1423-ab0890e6bfa44dd4bf01a6ce7d36e3a4", "input": "Problem: the perimeters of 2 squares are 60 cm and 48 cm . find the perimeter of a third square whose area is equal to the difference of the areas of the two squares ? \nOptions: ['a ) 20 cm', 'b ) 28 cm', 'c ) 36 cm', 'd ) 48 cm', 'e ) 40 cm']", "output": [ "c" ] }, { "id": "task1423-4f50e9bff95940abbff10bafa69dfb0b", "input": "Problem: if the radius of a cylinder is made 3 times and so is the height , what is the new volume of the cylinder divided by the old one ? \nOptions: a ) 27 . , b ) 2 . , c ) 6 . , d ) 4 . , e ) 10 .", "output": [ "a" ] }, { "id": "task1423-e7e2ee908d32431ab3de565248b96a4b", "input": "Problem: the perimeter of a triangle is 44 cm and the in radius of the triangle is 2.5 cm . what is the area of the triangle ? \nOptions: a ) 76 , b ) 88 , c ) 66 , d ) 55 , e ) 35", "output": [ "d" ] }, { "id": "task1423-4c3dbbb7589046edaf58e80b17b2030f", "input": "Problem: the width of a rectangle is 10 mtr and its area is 150 square meter . if length of the rectangle is increased , then its new area is 1 ( 1 / 3 ) times of the original area . what is the new perimeter of the rectangle ? \nOptions: ['a ) 45', 'b ) 54', 'c ) 67', 'd ) 60', 'e ) 69']", "output": [ "d" ] }, { "id": "task1423-01641111b7494fa9968d6a08d2e831ba", "input": "Problem: approximately how many cubic feet of water are needed to fill a circular swimming pool that is 40 feet across and 7 feet deep ? \nOptions: a ) 700 , b ) 1500 , c ) 3000 , d ) 5000 , e ) 9000", "output": [ "e" ] }, { "id": "task1423-baa73f4bfd0e4b88aeb157779c33e87b", "input": "Problem: huey ' s hip pizza sells two sizes of square pizzas : a small pizza that measures 8 inches on a side and costs $ 10 , and a large pizza that measures 12 inches on a side and costs $ 20 . if two friends go to huey ' s with $ 30 apiece , how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone ? \nOptions: a ) 5 square inches , b ) 10 square inches , c ) 16 square inches , d ) 25 square inches , e ) 350 square inches", "output": [ "c" ] }, { "id": "task1423-f18b80d3f5d34f18a34a30e88f1c9999", "input": "Problem: a block of wood has dimensions 10 cm x 10 cm x 50 cm . the block is painted red and then cut evenly at the 25 cm mark , parallel to the sides , to form two rectangular solids of equal volume . what percentage of the surface area of each of the new solids is not painted red ? \nOptions: a ) 5.5 % , b ) 8.3 % , c ) 11.6 % , d ) 14.2 % , e ) 17.5 %", "output": [ "b" ] }, { "id": "task1423-dcf588318ba64a94a97ed7bc81d76706", "input": "Problem: what is the area of a square with perimeter 12 p ? \nOptions: ['a ) 16 p ^ 2', 'b ) 4 p', 'c ) 9 p ^ 2', 'd ) p / 16', 'e ) p ^ 2 / 16']", "output": [ "c" ] }, { "id": "task1423-6ad8eb8ba0c94c2bb13f60ed9bef4803", "input": "Problem: you have 59 cubic blocks . what is the minimum number that needs to be taken away in order to construct a solid cube with none left over ? \nOptions: ['a ) 27', 'b ) 43', 'c ) 11', 'd ) 32', 'e ) 45']", "output": [ "d" ] }, { "id": "task1423-f47247de1ae04d55af2d10782b11e6b7", "input": "Problem: the radius of a cylindrical vessel is 5 cm and height is 3 cm . find the whole surface of the cylinder ? \nOptions: a ) 251.4 sq cm , b ) 220 sq cm , c ) 440 sq cm , d ) 132 sq cm , e ) 138 sq cm", "output": [ "a" ] }, { "id": "task1423-c4ada99f0a2546c38a0b28e9b8523337", "input": "Problem: what is the smallest positive integer x , such that 5000 x is a perfect cube ? \nOptions: a ) 4 , b ) 6 , c ) 8 , d ) 25 , e ) 18", "output": [ "d" ] }, { "id": "task1423-10045b23eb1a44a593e3db993e36b705", "input": "Problem: if a rectangular room measures 11 meters by 6 meters by 4 meters , what is the volume of the room in cubic centimeters ? ( 1 meter = 100 centimeters ) \nOptions: a ) 24,000 , b ) 240,000 , c ) 2 , 400,000 , d ) 24 , 000,000 , e ) 264 , 000,000", "output": [ "e" ] }, { "id": "task1423-17ba23597e22450d98ffccd28cb6d19e", "input": "Problem: in triangle pqr , the angle q = 90 degree , pq = 7 cm , qr = 8 cm . x is a variable point on pq . the line through x parallel to qr , intersects pr at y and the line through y , parallel to pq , intersects qr at z . find the least possible length of xz \nOptions: ['a ) 5.6 cm', 'b ) 2.4 cm', 'c ) 4.8 cm', 'd ) 2.16 cm', 'e ) 3.2 cm']", "output": [ "a" ] }, { "id": "task1423-29437471d30e40c0b8e0f24629093ee4", "input": "Problem: cuboid volume and base area are 144 m ^ 3 and 18 m ^ 3 respectively . find the height of a cuboid ? \nOptions: ['a ) 5 m', 'b ) 12 m', 'c ) 6 m', 'd ) 8 m', 'e ) 10 m']", "output": [ "d" ] }, { "id": "task1423-e019216f5f0d4c49b28b6b072d41369f", "input": "Problem: if the area of a square with sides of length 12 centimeters is equal to the area of a rectangle with a width of 6 centimeters , what is the length of the rectangle , in centimeters ? \nOptions: a ) 4 , b ) 8 , c ) 12 , d ) 24 , e ) 18", "output": [ "d" ] }, { "id": "task1423-8c1821c0371249b3ab06eacda794e435", "input": "Problem: obra drove 200 π meters along a circular track . if the area enclosed by the circular track on which she drove is 57,600 π square meters , what percentage of the circular track did obra drive ? \nOptions: a ) 6.67 % , b ) 12.5 % , c ) 41.66 % , d ) 25 % , e ) 33.3 %", "output": [ "c" ] }, { "id": "task1423-deae20f75d73437d889970be94dee725", "input": "Problem: if the radius of a circle is increased by 60 % then the area is increased by : \nOptions: a ) 44 % , b ) 120 % , c ) 156 % , d ) 40 % , e ) none of the above", "output": [ "c" ] }, { "id": "task1423-210f1166b35f4e4f82b16d03948d183d", "input": "Problem: a rectangular parking space is marked out by painting three of its sides . if the length of the unpainted side is 9 feet , and the sum of the lengths of the painted sides is 37 feet , find out the area of the parking space in square feet ? \nOptions: a ) 120 , b ) 122 , c ) 124 , d ) 128 , e ) 126", "output": [ "e" ] }, { "id": "task1423-50e68eb92d9d4168a45fdd7262008c9b", "input": "Problem: the red triangle is equilateral with a side of 23 centimetres . its perimeter is \nOptions: ['a ) 68 cm', 'b ) 69 cm', 'c ) 70 cm', 'd ) 71 cm', 'e ) none']", "output": [ "b" ] }, { "id": "task1423-821482561ef04e05b24e3326d8c08d82", "input": "Problem: the perimeter of a rectangle is 60 mete ( 132 ) 7 × ( 132 ) ? = ( 132 ) 11.5 . \nOptions: a ) 3 , b ) 3.5 , c ) 4 , d ) 4.5 , e ) 5", "output": [ "d" ] }, { "id": "task1423-f701221f296544a19eba31b9cd17e480", "input": "Problem: a snooker tournament charges $ 40.00 for vip seats and $ 10.00 for general admission ( “ regular ” seats ) . on a certain night , a total of 320 tickets were sold , for a total cost of $ 7,500 . how many fewer tickets were sold that night for vip seats than for general admission seats ? \nOptions: ['a ) 190', 'b ) 180', 'c ) 170', 'd ) 160', 'e ) 148']", "output": [ "e" ] }, { "id": "task1423-346b0bccfa3a476baff7f4e8f0c77911", "input": "Problem: a girl walking at the rate of 9 km per hour crosses a square field diagonally in 12 seconds . the area of the field is : \nOptions: ['a ) 430 sq . m', 'b ) 425 sq . m', 'c ) 450 sq . m', 'd ) 475 sq . m', 'e ) 350 sq . m']", "output": [ "c" ] }, { "id": "task1423-e12b3fd8470c49d4b764f62dd52cea72", "input": "Problem: what is the sum of the squares of the first 20 natural numbers ( 1 to 20 ) ? \nOptions: ['a ) 2870', 'b ) 2000', 'c ) 5650', 'd ) 6650', 'e ) 7650']", "output": [ "a" ] }, { "id": "task1423-d233f89d2831419ea7b5b95512b158ae", "input": "Problem: a cube is divided into 512 identical cubelets . each cut is made parallel to some surface of the cube . but before doing that , the cube is painted with green on one set of opposite faces , red on another set of opposite faces , and blue on the third set of opposite faces . how many cubelets are painted with exactly one colour ? \nOptions: a ) 216 , b ) 264 , c ) 296 , d ) 312 , e ) 324", "output": [ "a" ] }, { "id": "task1423-3e3323a3ddb6484dab7f2ff424f0ce36", "input": "Problem: what is the perimeter of a square field whose diagonal is 8 √ 2 ? \nOptions: a ) 82 m , b ) 32 m , c ) 27 m , d ) 26 m , e ) 76 m", "output": [ "b" ] }, { "id": "task1423-f1067f543d7c4bf9896dfddf71072e73", "input": "Problem: the perimeter of an equilateral triangle is 60 . if one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 55 , then how long is the base of isosceles triangle ? \nOptions: a ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) 25", "output": [ "c" ] }, { "id": "task1423-a3548ebbc49d4df69eb36c6d69965625", "input": "Problem: a small table has a length of 12 inches and a breadth of b inches . cubes are placed on the surface of the table so as to cover the entire surface . the maximum side of such cubes is found to be 4 inches . also , a few such tables are arranged to form a square . the minimum length of side possible for such a square is 40 inches . find b . \nOptions: a ) 8 , b ) 6 , c ) 24 , d ) 32 , e ) 48", "output": [ "b" ] }, { "id": "task1423-68dde69e9b02455ea6111f8c8bedb1b3", "input": "Problem: square a has an area of 121 square centimeters . square b has a perimeter of 16 centimeters . if square b is placed within square a and a random point is chosen within square a , what is the probability the point is not within square b ? \nOptions: a ) 9 / 25 , b ) 1 / 5 , c ) 16 / 121 , d ) 105 / 121 , e ) 6 / 25", "output": [ "d" ] }, { "id": "task1423-0fc0140d5aee499b86ca040db2f2e6e8", "input": "Problem: how many differently shaped triangles exist in which no two sides are of the same length , each side is of integral unit length and the perimeter of the triangle is less than 14 units ? \nOptions: ['a ) 3', 'b ) 4', 'c ) 5', 'd ) 6', 'e ) 7']", "output": [ "c" ] }, { "id": "task1423-14a0d31d3a214f879cefc6aed0296ee1", "input": "Problem: a square mirror has exactly half the area of the rectangular wall on which it is hung . if each side of the mirror is 54 inches and the width of the wall is 68 inches , what is the length of the wall , in inches ? \nOptions: ['a ) 25.7', 'b ) 72.7', 'c ) 70.7', 'd ) 85.7', 'e ) 56.7']", "output": [ "d" ] }, { "id": "task1423-9570fd29286d4e8297593ae62ccc9a3d", "input": "Problem: a picture is copied onto a sheet of paper 8.5 inches by 10 inches . a 1.5 inch margin is left all around . what area in square inches does the picture cover ? \nOptions: ['a ) 76', 'b ) 65', 'c ) 59.5', 'd ) 49', 'e ) 38.5']", "output": [ "e" ] }, { "id": "task1423-b994451b15b846e0a6c573e50408e0d6", "input": "Problem: rectangle a has sides a and b , and rectangle b has sides c and d . if a / c = b / d = 2 / 3 , what is the ratio of rectangle a ’ s area to rectangle b ’ s area ? \nOptions: a ) 4 / 9 , b ) 2 / 3 , c ) 3 / 2 , d ) 9 / 2 , e ) 9 / 4", "output": [ "a" ] }, { "id": "task1423-a632108f8e3048838b3ab162c7c4d6f7", "input": "Problem: approximately how many cubic feet of water are needed to fill a circular swimming pool that is 100 feet across and 4 feet deep ? \nOptions: a ) 15000 , b ) 30000 , c ) 50000 , d ) 70000 , e ) 90000", "output": [ "b" ] }, { "id": "task1423-4c5466454a674769a3d3740373eb93d4", "input": "Problem: the cost of the paint is rs . 20 per kg . if 1 kg of paint covers 15 sq . ft , how much will it cost to paint outside of a cube having 5 feet each side \nOptions: ['a ) rs . 200', 'b ) rs . 672', 'c ) rs . 546', 'd ) rs . 876', 'e ) none of these']", "output": [ "a" ] }, { "id": "task1423-efd250676bcb4c46826f3dbe8d015c9a", "input": "Problem: the diagonals of a rhombus are 18 cm and 22 cm . find its area ? \nOptions: ['a ) 277', 'b ) 266', 'c ) 198', 'd ) 288', 'e ) 212']", "output": [ "c" ] }, { "id": "task1423-4237bfc63db9490d957380ab91a54440", "input": "Problem: the area of a square field is 7201 sq m . how long will a lady take to cross the field diagonally at the rate of 1.2 km / hr ? \nOptions: a ) 6 min , b ) 5 min , c ) 5.5 min , d ) 4 min , e ) 3 min", "output": [ "a" ] }, { "id": "task1423-b14f5e58bd0f41c7a20d94431d8dada5", "input": "Problem: the area of a circle is increased by 300 % . by what percent has the diameter of the circle increased ? \nOptions: ['a ) 400 %', 'b ) 200 %', 'c ) 300 %', 'd ) 100 %', 'e ) 800 %']", "output": [ "d" ] }, { "id": "task1423-3a2da873d23649eba99040099c711ee4", "input": "Problem: a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 120 sq . feet , how many feet of fencing will be required ? \nOptions: a ) 34 , b ) 40 , c ) 68 , d ) 88 , e ) 32", "output": [ "e" ] }, { "id": "task1423-3eac3bd2b04e436f86ae04764f2e3dc9", "input": "Problem: the weight of a hollow sphere is directly dependent on its surface area . the surface area of a sphere is 4 π · r ^ 2 , where r is the radius of the sphere . if a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams , a hollow sphere of radius 0.3 cm made of the same metal would weigh how many grams r ? \nOptions: a ) 16 , b ) r = 32 , c ) r = 64 , d ) 128 , e ) 512", "output": [ "b" ] }, { "id": "task1423-548e936607264ed890b6e11f73bdb95e", "input": "Problem: what is the % change in the area of a rectangle when its length increases by 20 % and its width decreases by 20 % ? \nOptions: a ) 0 % , b ) 20 % increase , c ) 20 % decrease , d ) 4 % decrease , e ) insufficient data", "output": [ "d" ] }, { "id": "task1423-9881a068f3494d50a1786d9f6127e30e", "input": "Problem: the circumference of a circle is equal to 72 pi . find the radius of this circle . \nOptions: ['a ) 35', 'b ) 36', 'c ) 37', 'd ) 38', 'e ) 39']", "output": [ "b" ] }, { "id": "task1423-9520d637427943b7b253a697a4e88672", "input": "Problem: obra drove 140 π meters along a circular track . if the area enclosed by the circular track on which she drove is 57,600 π square meters , what percentage of the circular track did obra drive ? \nOptions: a ) 6.67 % , b ) 12.5 % , c ) 18.75 % , d ) 29.16 % , e ) 33.3 %", "output": [ "d" ] }, { "id": "task1423-5eb6aa47093844a8aeed8eaafcf1c2fe", "input": "Problem: a rectangular block 6 cm by 12 cm by 15 cm is cut up into an exact number of equal cubes . find the least possible number of cubes . \nOptions: a ) 30 , b ) 40 , c ) 10 , d ) 20 , e ) 50", "output": [ "b" ] }, { "id": "task1423-fea792017b7143b3a0d36edefb2a3f15", "input": "Problem: the area of a square garden is q square feet and the perimeter is p feet . if q = 2 p + 20 , what is the perimeter of the garden in feet ? \nOptions: ['a ) 32', 'b ) 36', 'c ) 40', 'd ) 44', 'e ) 48']", "output": [ "c" ] }, { "id": "task1423-e6b9c601b4ca461d84ac68bcb2f91b80", "input": "Problem: in right triangle abc , ac is the hypotenuse . if ac is 35 and ab + bc = 55 , what is the area of the triangle abc ? \nOptions: a ) 225 , b ) 450 , c ) 25 √ 2 , d ) 200 , e ) 200 √ 2", "output": [ "b" ] }, { "id": "task1423-7c7efb1f25e141c79a0c1ece7fbcd737", "input": "Problem: a volume of 10940 l water is in a container of sphere . how many hemisphere of volume 4 l each will be required to transfer all the water into the small hemispheres ? \nOptions: a ) 2812 , b ) 8231 , c ) 2734 , d ) 2735 , e ) 4254", "output": [ "d" ] }, { "id": "task1423-7cb4fa319d5c4d6c9cb34e96c1753089", "input": "Problem: a rectangular farm has to be fenced one long side , one short side and the diagonal . if the cost of fencing is rs . 13 per meter . the area of farm is 1200 m 2 and the short side is 30 m long . how much would the job cost ? \nOptions: a ) 1276 , b ) 1560 , c ) 2832 , d ) 1299 , e ) 1236", "output": [ "b" ] }, { "id": "task1423-ef10580358d44d4ba5dd298188e700bb", "input": "Problem: the perimeter of a triangle is 20 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle \nOptions: a ) a ) 72 , b ) b ) 828 , c ) c ) 25 , d ) d ) 34 , e ) e ) 35", "output": [ "c" ] }, { "id": "task1423-c7626262eef14a6093375aa92c42e992", "input": "Problem: 6 points lie on the circumference of a ellipse . what is the positive difference between the number of triangles and the number of quadrilaterals that can be created by connecting these points ? \nOptions: a ) 4 , b ) 6 , c ) 5 , d ) 15 , e ) 20", "output": [ "c" ] }, { "id": "task1423-54d0f8d1c4fd4124a93cbe20c46a6ee2", "input": "Problem: 108 . triangle a ’ s base is 7 % greater than the base of triangle b , and a ’ s height is 7 % less than the height of triangle b . the area of triangle a is what percent less or more than the area of triangle b ? \nOptions: a ) 9 % less , b ) 1 % less , c ) equal to each other , d ) 1 % more , e ) 2.1 % more", "output": [ "e" ] }, { "id": "task1423-c12eb67a1815405ab866dc5c3cea9ba7", "input": "Problem: the side of a rhombus is 25 m and length of one of its diagonals is 10 m . the area of the rhombus is ? \nOptions: a ) 244.85 , b ) 224.95 , c ) 244.85 , d ) 224.95 , e ) 244.95", "output": [ "e" ] }, { "id": "task1423-8c28874acd334d17a13f8a9daf1af440", "input": "Problem: what is the area of a square field whose sides have a length of 12 meters ? \nOptions: a ) 225 sq m , b ) 126 sq m , c ) 144 sq m , d ) 267 sq m , e ) 231 sq m", "output": [ "c" ] }, { "id": "task1423-059a0e04dac044dabf0a7ad54def9b57", "input": "Problem: a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 60 sq . feet , how many feet of fencing will be required ? \nOptions: a ) 34 , b ) 40 , c ) 68 , d ) 88 , e ) 26", "output": [ "e" ] }, { "id": "task1423-f15bd6f65b1143d8b11a8545028bf00e", "input": "Problem: an error 2 % in excess is made while measuring the sideofa square . the % of error in the calculated area of the square is ? \nOptions: a ) 4 % , b ) 4.04 % , c ) 4.15 % , d ) 5 % , e ) 5.24 %", "output": [ "b" ] }, { "id": "task1423-9da1a2ebdaaa44069b6bf1e0fa4eac5c", "input": "Problem: the area of a parallelogram is 72 sq m and its base is 12 m . then the length of the height is ? \nOptions: a ) 6 m , b ) 7 m , c ) 60 m , d ) 13 m , e ) none", "output": [ "a" ] }, { "id": "task1423-b3c1ad099e7049ba9996a05e17437ad5", "input": "Problem: a rectangular field has area equal to 150 sq m and perimeter 50 m . its length and breadth must be ? \nOptions: ['a ) 15 m , 15 m', 'b ) 15 m , 90 m', 'c ) 16 m , 10 m', 'd ) 15 m , 10 m', 'e ) 15 m , 30 m']", "output": [ "d" ] }, { "id": "task1423-e479f18c6900402fbff9d2ee0b035e7c", "input": "Problem: find the perimeter and area of a square of side 12 cm . \nOptions: a ) 144 , b ) 121 , c ) 169 , d ) 196 , e ) 100", "output": [ "a" ] }, { "id": "task1423-c1fc5bcf6b8348bfbd5b54cd7974ead1", "input": "Problem: a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 680 sq . ft , how many feet of fencing will be required ? \nOptions: a ) 88 feet , b ) 86 feet , c ) 84 feet , d ) 82 feet , e ) 83 feet", "output": [ "a" ] }, { "id": "task1423-95a5cb63092f4431b562b294a1fcb274", "input": "Problem: find the area of a parallelogram with base 32 cm and height 14 cm ? \nOptions: a ) 498 cm 2 , b ) 384 cm 2 , c ) 430 cm 2 , d ) 128 cm 2 , e ) 448 cm 2", "output": [ "e" ] }, { "id": "task1423-34b322989c464bbf9490854c03385922", "input": "Problem: find the perimeter and area of the rectangle of length 11 cm and breadth 7 cm . \nOptions: a ) 77 cm 2 , b ) 121 cm 2 , c ) 141 cm 2 , d ) 171 cm 2 , e ) 221 cm 2", "output": [ "a" ] }, { "id": "task1423-cffc55ba2c9f4acab06782d9d07703fb", "input": "Problem: the slant height of a cone is 35 cm and radius of the base is 14 cm , find the curved surface of the cone . \nOptions: ['a ) 4150', 'b ) 1780', 'c ) 1540', 'd ) 1500', 'e ) 6100']", "output": [ "c" ] }, { "id": "task1423-9d8b0a5b26014a78a3a374359af8a069", "input": "Problem: if a 1 mm thick paper is folded so that the area is halved at every fold , then what would be the thickness of the pile after 50 folds ? \nOptions: ['a ) 100 km', 'b ) 1000 km', 'c ) 1 million km', 'd ) 1 billion km', 'e ) none']", "output": [ "d" ] }, { "id": "task1423-22b998e7dd4e4a71a88f3abe6e4ec1c7", "input": "Problem: a tailor trims 4 feet from opposite edges of a square piece of cloth , and 3 feet from the other two edges . if 120 square feet of cloth remain , what was the length of a side of the original piece of cloth ? \nOptions: ['a ) 18', 'b ) 20', 'c ) 24', 'd ) 26', 'e ) 40']", "output": [ "a" ] }, { "id": "task1423-21740a6f43dd411b9ec15023c1426d38", "input": "Problem: the diagonal of a rhombus are 25 m and 50 m . its area is : \nOptions: a ) 900 , b ) 800 , c ) 700 , d ) 625 , e ) 650", "output": [ "d" ] }, { "id": "task1423-3cb7ad3ce9864b50aa0924fe24346a17", "input": "Problem: a rectangular grass field is 95 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ? \nOptions: a ) 1350 , b ) 1550 , c ) 9676 , d ) 1679 , e ) 2691", "output": [ "b" ] }, { "id": "task1423-c0fd395e05764c5b85102df0bded1662", "input": "Problem: the mass of 1 cubic meter of a substance is 400 kilograms under certain conditions . what is the volume , in cubic centimeters , of 1 gram of this substance under these conditions ? ( 1 kilogram = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters ) \nOptions: a ) 0.8 , b ) 1.25 , c ) 8.0 , d ) 2.5 , e ) 80.0", "output": [ "d" ] }, { "id": "task1423-e7f270270b734331b68a17ede57b9520", "input": "Problem: the number 83 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ? \nOptions: ['a ) 17', 'b ) 16', 'c ) 15', 'd ) 14', 'e ) 13']", "output": [ "c" ] }, { "id": "task1423-31a8e3d88b1345e0b5c3c06f9537105e", "input": "Problem: find the smallest number which should be multiplied with 520 to make it a perfect square \nOptions: a ) 337 , b ) 297 , c ) 266 , d ) 116 , e ) 130", "output": [ "e" ] }, { "id": "task1423-9a233615da5f409fa39383835775b46d", "input": "Problem: calculate the area of a triangle , if the sides are 13 cm , 12 cm and 5 cm , what is its area ? \nOptions: ['a ) 36 cm 2', 'b ) 35 cm 2', 'c ) 30 cm 2', 'd ) 32 cm 2', 'e ) 31 cm 2']", "output": [ "c" ] }, { "id": "task1423-33183e2a98fd4ddcb1c24bd77c36c862", "input": "Problem: triangle xyz is an isosceles right triangle . if side xy is longer than side yz , and the area of the triangle is 9 , what is the measure of side xy ? \nOptions: a ) 4 , b ) 4 √ 2 , c ) 8 , d ) 6 , e ) can not be determined from the information provided", "output": [ "d" ] }, { "id": "task1423-63d7bc13bf304b4b9e90fd4d0c9a71bb", "input": "Problem: the length of a rectangle is halved , whileits breadth is tripled . wat is the % change in area ? \nOptions: a ) 40 % , b ) 45 % , c ) 50 % , d ) 65 % , e ) 70 %", "output": [ "c" ] }, { "id": "task1423-25ab0f88ad0e48b8b08941900757c372", "input": "Problem: how many diagonals does a polygon with 23 sides have , if one of its vertices does not connect to any diagonal ? \nOptions: a ) 201 , b ) 159 , c ) 179 , d ) 189 , e ) 209", "output": [ "e" ] }, { "id": "task1423-6d170ecc357841a3a8ee9907f6cd5080", "input": "Problem: a rectangular swimming pool is 20 feet by 20 feet . a deck that has uniform width surrounds the pool . the total area of the pool and deck is 576 square feet . what is the width of the deck ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "a" ] }, { "id": "task1423-888e6984f14d48a9952cd8a9642227ea", "input": "Problem: the area of a rectangle is 63 sq m . the width is two meters shorter than the length . what is the width ? \nOptions: ['a ) 9', 'b ) 7', 'c ) - 9', 'd ) 11', 'e ) 6']", "output": [ "b" ] }, { "id": "task1423-a5fa6d7c22a74e9e93761e1228eafbe2", "input": "Problem: the length of a rectangular garden is three times its width . if the area of the rectangular garden is 768 square meters , then what is the width of the rectangular garden ? \nOptions: a ) 16 , b ) 17 , c ) 18 , d ) 19 , e ) 20", "output": [ "a" ] }, { "id": "task1423-7b94c8d8f5d74641a4973b5055d5e334", "input": "Problem: ) a cube is painted blue on all of its surfaces . it is then cut in to 27 smaller cubes of equal size . find how many smaller cubes have no color ? \nOptions: ['a ) 1', 'b ) 3', 'c ) 8', 'd ) 5', 'e ) 7']", "output": [ "a" ] }, { "id": "task1423-3a597c15a5054374bedfcf3d1c988342", "input": "Problem: there is a square with sides of 9 . what is the area of the biggest circle that can be cut out of this square ? \nOptions: a ) 72.83 , b ) 63.62 , c ) 81 , d ) 254.47 , e ) 100", "output": [ "b" ] }, { "id": "task1423-c5a4e8bfbf3643288c2730cdf64c1d6b", "input": "Problem: a larger cube has 216 cubic inch as a volume and in the cube there are 216 smaller cubes such that their volume is 1 cubic inch . what is the difference between the surface areas ’ sum of the 216 smaller cubes and the surface area of the larger cube , in square inch ? \nOptions: a ) 54 , b ) 64 , c ) 81 , d ) 1080 , e ) 120", "output": [ "d" ] }, { "id": "task1423-c89f087e0fa34960a7dd0691fca45306", "input": "Problem: while visiting a small town in the united states , i lost my overcoat in a bus . when i reported the matter to the bus company i was asked the number of the bus . though i did not remember the exact number i did remember that the bus number bad a certain peculiarity about it . the number plate showed the bus number as a perfect square and also if the plate was turned upside down . ? the number would still be a perfect square — of course it was not ? i came to know from the bus company they had only 5 100 buses numbered from 1 to 500 . from this i was able to deduce the bus number . can you tell what was the other number . \nOptions: a ) 127 , b ) 196 , c ) 116 , d ) 140 , e ) 234", "output": [ "b" ] }, { "id": "task1423-4d7a8705fd554687b5230031d95ccdb8", "input": "Problem: each of the 55 points is placed either inside or on the surface of a perfect sphere . if 60 % or fewer of the points touch the surface , what is the maximum number of segments which , if connected from those points to form chords , could be the diameter of the sphere ? \nOptions: ['a ) 7', 'b ) 11', 'c ) 13', 'd ) 16', 'e ) 38']", "output": [ "d" ] }, { "id": "task1423-e59af8e10b9247e598fed74c695f7800", "input": "Problem: a specialized type of sand consists of 40 % mineral x by volume and 60 % mineral y by volume . if mineral x weighs 2.5 grams per cubic centimeter and mineral y weighs 3 grams per cubic centimeter , how many grams does a cubic meter of specialized sand combination weigh ? ( 1 meter = 100 centimeters ) \nOptions: a ) 5 , 500,000 , b ) 2 , 800,000 , c ) 55,000 , d ) 28,000 , e ) 280", "output": [ "b" ] }, { "id": "task1423-cacf284423d84ce0b77d2b0e3024895c", "input": "Problem: a specialized type of sand consists of 40 % mineral x by volume and 60 % mineral y by volume . if mineral x weighs 1.5 grams per cubic centimeter and mineral y weighs 3 grams per cubic centimeter , how many grams does a cubic meter of specialized sand combination weigh ? ( 1 meter = 100 centimeters ) \nOptions: a ) 2 , 400,000 , b ) 2 , 800,000 , c ) 55,000 , d ) 28,000 , e ) 280", "output": [ "a" ] }, { "id": "task1423-747ebbe2e4b64203a8aba40726b07baf", "input": "Problem: if the area of a circle is 100 pi square feet , find its circumference . \nOptions: a ) 65 pi feet , b ) 20 pi feet , c ) 42 pi feet , d ) 18 pi feet , e ) 64 pi feet", "output": [ "b" ] }, { "id": "task1423-4caf2843b0f3436897f4bb92c2d8814b", "input": "Problem: difference between the length & breadth of a rectangle is 10 m . if its perimeter is 206 m , then its area is ? \nOptions: ['a ) 2400 m ^ 2', 'b ) 1500 m ^ 2', 'c ) 2520 m ^ 2', 'd ) 1200 m ^ 2', 'e ) 2580 m ^ 2']", "output": [ "d" ] }, { "id": "task1423-18ed2e055ca24f4ea798912457738f6d", "input": "Problem: which is the smallest no which divides 2880 and gives a perfect square ? \nOptions: ['a ) 4', 'b ) 9', 'c ) 3', 'd ) 5', 'e ) 7']", "output": [ "d" ] }, { "id": "task1423-7fa7f8114da84d478fee83c3d1a24821", "input": "Problem: carmen made a sculpture from small pieces of wood . the sculpture is 2 feet 10 inches tall . carmen places her sculpture on a base that is 10 inches tall . how tall are the sculpture andbase together ? \nOptions: a ) 3.1 feet , b ) 3.66 feet , c ) 3.3 feet , d ) 3.4 feet , e ) 3.5 feet", "output": [ "b" ] }, { "id": "task1423-07cd58e98fbe4b2f9567a55a51a8cb9c", "input": "Problem: a diagonal of a polygon is an segment between two non - adjacent vertices of the polygon . how many diagonals does a regular 45 - sided polygon have ? \nOptions: a ) 875 , b ) 945 , c ) 1425 , d ) 2025 , e ) 2500", "output": [ "b" ] }, { "id": "task1423-812d0e7135074cc2a8304764e880a961", "input": "Problem: if the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm , a square with the same area as the original rectangle would result . find the perimeter of the original rectangle ? \nOptions: a ) 76 , b ) 27 , c ) 19 , d ) 50 , e ) 11", "output": [ "d" ] }, { "id": "task1423-7ef7cf2835ba412e90f81af6f6b45604", "input": "Problem: 108 . triangle a ’ s base is 20 % greater than the base of triangle b , and a ’ s height is 20 % less than the height of triangle b . the area of triangle a is what percent less or more than the area of triangle b ? \nOptions: ['a ) 0.25 % less', 'b ) 1 % less', 'c ) equal to each other', 'd ) 1 % more', 'e ) 9 % more']", "output": [ "a" ] }, { "id": "task1423-7971291f8f8a4900ac83819b59de5543", "input": "Problem: the sides of a square region , measured to the nearest centimeter , are 7 centimeters long . the least possible value of the actual area of the square region is \nOptions: ['a ) 42.25 sq cm', 'b ) 45.25 sq cm', 'c ) 43.25 sq cm', 'd ) 50.25 sq cm', 'e ) 52.25 sq cm']", "output": [ "a" ] }, { "id": "task1423-c1c5ce5d1bfa4946ace6940d9406f4c8", "input": "Problem: find the smallest number which should be multiplied with 13225 to make it a perfect square . \nOptions: a ) 25 , b ) 5 , c ) 1 , d ) 23 , e ) 6", "output": [ "c" ] }, { "id": "task1423-ec1b647c9d444ceb92df32c27c494659", "input": "Problem: what is the area of a square field whose diagonal of length 18 m ? \nOptions: a ) 120 sq m , b ) 250 sq m , c ) 200 sq m , d ) 180 sq m , e ) 100 sq m", "output": [ "d" ] }, { "id": "task1423-88cecd0214e84fc286df7e966964065c", "input": "Problem: by combining number of small cubes , a larger cube is produced . the ratio between volume of larger cube and small cube is 1000 : 8 then how many small cubes are required to produce a larger cube ? \nOptions: ['a ) 100', 'b ) 2', 'c ) 5', 'd ) 125', 'e ) 80']", "output": [ "d" ] }, { "id": "task1423-3d2d6c086bcb4c66bd87c07de274362b", "input": "Problem: a rectangular wall is covered entirely with two kinds of decorative tiles : regular and jumbo . 1 / 3 of the tiles are jumbo tiles , which have a length three times that of regular tiles and have the same ratio of length to width as the regular tiles . if regular tiles cover 40 square feet of the wall , and no tiles overlap , what is the area of the entire wall ? \nOptions: a ) 160 , b ) 220 , c ) 360 , d ) 440 , e ) 560", "output": [ "b" ] }, { "id": "task1423-80e58f1bded2420db0ca2e2d18ed0d2d", "input": "Problem: a box measuring 24 inches long by 40 inches wide by 16 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ? \nOptions: a ) 28 , b ) 30 , c ) 32 , d ) 35 , e ) 37", "output": [ "b" ] }, { "id": "task1423-1db7acf155cb4a4bb2a90940ee9b920c", "input": "Problem: each of the 42 points is placed either inside or on the surface of a perfect sphere . if 65 % or fewer of the points touch the surface , what is the maximum number of segments which , if connected from those points to form chords , could be the diameter of the sphere ? \nOptions: a ) 7 , b ) 11 , c ) 13 , d ) 23 , e ) 38", "output": [ "c" ] }, { "id": "task1423-9bc3456644744738820e3acb1267eb48", "input": "Problem: a crate measures 2 feet by 8 feet by 12 feet on the inside . a stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides . what is the radius , in feet , of the pillar with the largest volume that could still fit in the crate ? \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 12", "output": [ "a" ] }, { "id": "task1423-a361352cb78f40dab05e5d0c02b6ec15", "input": "Problem: in measuring the sides of a rectangle , one side is taken 12 % in excess and other 5 % in deficit . find the error percentage in the area calculated from these measurements . \nOptions: a ) 3.5 % , b ) 6.4 % , c ) 3 % , d ) 5 % , e ) 2.6 %", "output": [ "b" ] }, { "id": "task1423-85074f26aca34463bfeb4a3450c1cfe5", "input": "Problem: the perimeter of one square is 48 cm and that of another is 36 cm . find the perimeter and the diagonal of a square which is equal in area to these two combined ? \nOptions: a ) 13 √ 4 , b ) 13 √ 2 , c ) 23 √ 2 , d ) 12 √ 4 , e ) 15 √ 2", "output": [ "e" ] }, { "id": "task1423-5808805196f94290802e0e47396743e7", "input": "Problem: a rectangular table , kept against a wall has a three sides free and the wall along the fourth side . the side opposite the wall is twice the length of each of the other two free sides . if the area of the rectangular table is 128 square feet , what is the total length of the table free sides , in feet ? \nOptions: ['a ) 4', 'b ) 8', 'c ) 16', 'd ) 32', 'e ) 64']", "output": [ "d" ] }, { "id": "task1423-7667a08c377c4754a2b1d5284c28b93f", "input": "Problem: the length of a rectangle is twice its breadth . if its length is decreased by 5 cm and breadth is increased by 5 cm , the area of the rectangle is increased by 75 sq . cm . what is the length of the rectangle ? \nOptions: a ) 18 cm , b ) 16 cm , c ) 40 cm , d ) 20 cm , e ) 50 cm", "output": [ "c" ] }, { "id": "task1423-c4dfe244fea5467a854f07e6d7483b0d", "input": "Problem: a rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 2 per sq m ? \nOptions: a ) 2288 , b ) 2779 , c ) 2779 , d ) 3900 , e ) 2600", "output": [ "e" ] }, { "id": "task1423-2d2e8f3aac27464da71f5c9fe0ec94ab", "input": "Problem: the percentage increase in the area of a rectangle , if each of its sides is increased by 20 % \nOptions: a ) 33 , b ) 37 , c ) 44 , d ) 99 , e ) 277", "output": [ "c" ] }, { "id": "task1423-41584afbdde640508673e60e0ca82170", "input": "Problem: it is decided to construct a 2 metre broad pathway around a rectangular plot on the inside . if the area of the plots is 96 sq . m . and the rate of construction is rs . 50 per square metre . , what will be the total cost of the construction ? \nOptions: ['a ) rs . 3500', 'b ) rs . 4200', 'c ) insufficient data', 'd ) rs . 4400', 'e ) none of these']", "output": [ "c" ] }, { "id": "task1423-a947b1d6f6904fcc9f2edf4081de5c91", "input": "Problem: a small table has a length of 12 inches and a breadth of b inches . cubes are placed on the surface of the table so as to cover the entire surface . the maximum side of such cubes is found to be 4 inches . also , a few such tables are arranged to form a square . the minimum length of side possible for such a square is 32 inches . find b . \nOptions: a ) 8 , b ) 16 , c ) 24 , d ) 32 , e ) 48", "output": [ "d" ] }, { "id": "task1423-0c022b4d3a3447a6a0610600b977726e", "input": "Problem: two cylinders of the radius in the ratio 3 : 5 and heights in the ratio 10 : 9 . then find the volumes ratio ? \nOptions: ['a ) 4 : 5', 'b ) 1 : 5', 'c ) 3 : 5', 'd ) 1.5 : 5', 'e ) 2 : 5']", "output": [ "e" ] }, { "id": "task1423-f7c3cadc05db4a54a53082faa3a9b469", "input": "Problem: two right circular cylinders of equal volumes have their heights in the ratio 1 : 2 . find the ratio of their radii . \nOptions: ['a ) √ 3 : 1', 'b ) √ 7 : 1', 'c ) √ 2 : 1', 'd ) 2 : 1', 'e ) 3 : 1']", "output": [ "c" ] }, { "id": "task1423-836aeeea3f004ebd93d0209163997627", "input": "Problem: a perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer . how many positive integers n are there such that n is less than 30,000 and at the same time n is a perfect square and a perfect cube ? \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8", "output": [ "b" ] }, { "id": "task1423-8c7e58a7703c4f21bbeb7ce8a4e880ee", "input": "Problem: a farmer built a fence around his square plot . he used 27 fence poles on each side of the square . how many poles did he need altogether ? \nOptions: ['a ) 100', 'b ) 104', 'c ) 108', 'd ) 112', 'e ) none of these']", "output": [ "b" ] }, { "id": "task1423-8c431cbd8d8042c09c198a9a5edf961f", "input": "Problem: the dimensions of a room are 25 feet * 15 feet * 12 feet . what is the cost of white washing the four walls of the room at rs . 7 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ? \nOptions: a ) s . 4538 , b ) s . 6342 , c ) s . 4518 , d ) s . 4530 , e ) s . 4517", "output": [ "b" ] }, { "id": "task1423-9999fa61b8754cd199b2a44c3d200ba7", "input": "Problem: some people are standing square . from them 32 are removed and then form a small square and then 8 more removed . now we can not form the square . so how many people are there at the beginning ? \nOptions: a ) 31 , b ) 32 , c ) 33 , d ) 34 , e ) ca n ' t be determined", "output": [ "e" ] }, { "id": "task1423-bca64e54c39c4a69bfd35f59cdceb10c", "input": "Problem: the length of a rectangle is twice its breadth . if its lengthis decreased by 5 cm & breadth is increased by 5 cm , the area of the rectangle is increased by 75 sq . cm . what is the length of the rectangle ? \nOptions: a ) 25 cm , b ) 30 cm , c ) 40 cm , d ) 45 cm , e ) 60 cm", "output": [ "c" ] }, { "id": "task1423-72b375a64a01492c9ed4ff77c297e176", "input": "Problem: a rectangular field is to be fenced on three sides leaving a side of 10 feet uncovered . if the area of the field is 600 sq . ft , how many feet of fencing will be required ? \nOptions: a ) 130 feet , b ) 22 feet , c ) 20 feet , d ) 15 feet , e ) 10 feet", "output": [ "a" ] }, { "id": "task1423-6987882e3086464ba0150b5127086c8c", "input": "Problem: the base of pyramid p is an isosceles right triangle whose leg is 3 . if the height of p is 4 , what is the volume of p ? \nOptions: ['a ) 36', 'b ) 18', 'c ) 12', 'd ) 8', 'e ) 6']", "output": [ "e" ] }, { "id": "task1423-9cf1243c7ef8474ebdce7bd4938fe90d", "input": "Problem: an artist wishes to paint a circular region on a square poster that is 3 feet on a side . if the area of the circular region is to be 1 / 2 the area of the poster , what must be the radius of the circular region in feet ? \nOptions: a ) 1 / pi , b ) sqrt ( 2 / pi ) , c ) sqrt ( 4.5 / pi ) , d ) 2 / sqrt ( pi ) , e ) pi / 2", "output": [ "c" ] }, { "id": "task1423-1d298ed6fec2497c8f9e29b3e8b4020d", "input": "Problem: a clock hangs on the wall of a railway station , 71 ft 9 in long and 10 ft 4 in high . those are the dimension of the wall , not the clock ! while waiting for a train we noticed that the hands of the clock were pointing in opposite directions , and were parallel to one of the diagonals of the wall , what was the exact time ? \nOptions: ['a ) 7 : 15', 'b ) 7 : 5', 'c ) 7 : 25', 'd ) 7 : 45', 'e ) 7 : 55']", "output": [ "b" ] }, { "id": "task1423-5f0b8e5115ec48dba5eae9cd21d0b0fe", "input": "Problem: the sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 420 m , its area is ? \nOptions: a ) 150 , b ) 882 , c ) 277 , d ) 210 , e ) 281", "output": [ "d" ] }, { "id": "task1423-be8217a8dac147adb4cf12219eaa207c", "input": "Problem: how many 1 x 1 x 1 cubes can you fit in a 15 x 16 x 13 box ? \nOptions: ['a ) 3,200', 'b ) 3,150', 'c ) 3,448', 'd ) 3,120', 'e ) 2,980']", "output": [ "d" ] }, { "id": "task1423-ef182fa331474832b709b817e981ff3b", "input": "Problem: if the sides of a square are multiplied by sqrt ( 5 ) , the area of the original square is how many times as large as the area of the resultant square ? \nOptions: ['a ) 5 %', 'b ) 20 %', 'c ) 50 %', 'd ) 100 %', 'e ) 120 %']", "output": [ "b" ] }, { "id": "task1423-00460dbb9f8744259cbd426145076c7a", "input": "Problem: the perimeter of a rhombus is 68 cm and one of its diagonals is 16 cm . find its area ? \nOptions: a ) 290 , b ) 240 , c ) 2870 , d ) 289 , e ) 292", "output": [ "b" ] }, { "id": "task1423-27d90aa1255e474fa6db1bf74be38281", "input": "Problem: some students are standing in a circle in which 6 th and the 16 th student are standing opposite to each other . find how many students were present there . \nOptions: ['a ) 10', 'b ) 15', 'c ) 20', 'd ) 25', 'e ) 30']", "output": [ "c" ] }, { "id": "task1423-f6cff074654940e1b327d7b5d0203538", "input": "Problem: a rectangular lawn of dimensions 80 m * 60 m has two roads each 15 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 3 per sq m ? \nOptions: a ) a ) 3820 , b ) b ) 930 , c ) c ) 9309 , d ) d ) 3900 , e ) e ) 5625", "output": [ "e" ] }, { "id": "task1423-c2d48d4626634d2694d328d0bcef73bd", "input": "Problem: a crate measures 6 feet by 8 feet by 12 feet on the inside . a stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides . what is the radius , in feet , of the pillar with the largest volume that could still fit in the crate ? \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 12", "output": [ "c" ] }, { "id": "task1423-75a84e50072c4461a979dc40264f981e", "input": "Problem: find the volume and surface area of a cuboid 16 m long , 14 m broad and 7 m high . \nOptions: ['a ) 878 cm ^ 2', 'b ) 858 cm ^ 2', 'c ) 838 cm ^ 2', 'd ) 868 cm ^ 2', 'e ) none of them']", "output": [ "d" ] }, { "id": "task1423-142a53d8c75145ffa4f3eeabc20cad21", "input": "Problem: two equilateral triangle of side 12 cm are placed one on top another , such a 6 pionted star is formed if the six vertices lie on a circle what is the area of the circle not enclosed by the star ? \nOptions: ['a ) 21', 'b ) 88937', 'c ) 269', 'd ) 279', 'e ) 2701']", "output": [ "a" ] }, { "id": "task1423-ceef5f5d6f9b4fd580ea654202ceb5a5", "input": "Problem: the ratio of the volumes of two cubes is 2197 : 1331 . what is the ratio of their total surface areas ? \nOptions: a ) 169 : 121 , b ) 169 : 127 , c ) 169 : 191 , d ) 121 : 169 , e ) 121 : 182", "output": [ "a" ] }, { "id": "task1423-3ae898baee3949f7802995645850f911", "input": "Problem: the length of a rectangular plot is 10 mtr more than its width . the cost of fencing the plot along its perimeter at the rate of rs . 6.5 mtr is rs . 1170 . the perimeter of the plot is ? \nOptions: a ) 126 , b ) 156 , c ) 180 , d ) 321 , e ) 260", "output": [ "c" ] }, { "id": "task1423-914e5a72308f47d69632debf9249eb47", "input": "Problem: a semicircular shaped window has diameter of 63 cm . its perimeter equals \nOptions: ['a ) 162', 'b ) 766', 'c ) 298', 'd ) 277', 'e ) 198']", "output": [ "a" ] }, { "id": "task1423-02e0e09de69d47a1b789ad5effab61a5", "input": "Problem: the perimeter of one square is 48 cm and that of another is 24 cm . find the perimeter and the diagonal of a square which is equal in area to these two combined ? \nOptions: a ) 13 √ 4 , b ) 13 √ 2 , c ) 13.4 √ 2 , d ) 12 √ 4 , e ) 13 √ 9", "output": [ "c" ] }, { "id": "task1423-105e55ca0d184656b7b4f0f10aac108e", "input": "Problem: the length of a rectangle is reduced by 22 % . by what % would the width have to be increased to maintainthe original area ? \nOptions: a ) 15 % , b ) 20 % , c ) 28 % , d ) 35 % , e ) 40 %", "output": [ "c" ] }, { "id": "task1423-a7e7275948cd4811afdb5c2b1c023523", "input": "Problem: what is the angle between the hands of a clock when time is 8 : 40 ? \nOptions: a ) 65 deg , b ) 75 deg , c ) 45 deg , d ) 15 deg , e ) 100 deg", "output": [ "e" ] }, { "id": "task1423-f4952d1df8a249cc8cce2f55526f1c59", "input": "Problem: the volume of the sphere qq is ( dfrac { 37 } { 64 } % ) less than the volume of sphere pp and the volume of sphere rr is ( dfrac { 19 } { 27 } % ) less than that of sphere qq . by what is the surface areaof sphere rr less than the surfacearea of sphere pp ? \nOptions: ['a ) 50 %', 'b ) 60 %', 'c ) 75 %', 'd ) 80 %', 'e ) 89 %']", "output": [ "c" ] }, { "id": "task1423-87439846592146eeb55362e4f8bb75cd", "input": "Problem: a crate measures 7 feet by 8 feet by 12 feet on the inside . a stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides . what is the radius , in feet , of the pillar with the largest volume that could still fit in the crate ? \nOptions: ['a ) 2', 'b ) 4', 'c ) 6', 'd ) 7', 'e ) 12']", "output": [ "d" ] }, { "id": "task1423-3f03df0588f54b90a2b366093121d60f", "input": "Problem: a cylindrical can has a radius of 4 centimeters and a height of 18 centimeters . what is the area , in square centimeters , of a rectangular label that completely covers the curved surface of the can without over - lapping ? \nOptions: a ) 16 pi , b ) 64 pi , c ) 96 pi , d ) 144 pi , e ) 576 pi", "output": [ "d" ] }, { "id": "task1423-7a51e7d50ed34a42a38045fbdc7bdb59", "input": "Problem: the base and height of a parallelogram are 12 m and 6 m respectively . then its area is = = = = = = ? \nOptions: ['a ) 27 sq . m', 'b ) 126 sq . m', 'c ) 84 sq . m', 'd ) 18 sq . m', 'e ) 72 sq . m']", "output": [ "e" ] }, { "id": "task1423-a839fd6a4db442c8bce83a98feb7b8cc", "input": "Problem: a lady builds 7 cm length , 18 cm width , and 3 cm height box using 9 cubic cm cubes . what is the minimum number of cubes required to build the box ? \nOptions: ['a ) 42', 'b ) 45', 'c ) 47', 'd ) 49', 'e ) 56']", "output": [ "a" ] }, { "id": "task1423-df8fb7d33fe14292ba4f37eb7fc1dd2d", "input": "Problem: a diagonal of a polygon is an segment between two non - adjacent vertices of the polygon . how many diagonals does a regular 40 - sided polygon have ? \nOptions: a ) 875 , b ) 740 , c ) 1425 , d ) 2025 , e ) 2500", "output": [ "b" ] }, { "id": "task1423-eaf7d908ed4f4468b4676650341d7633", "input": "Problem: approximately how many cubic feet of water are needed to fill a circular swimming pool that is 60 feet across and 6 feet deep ? \nOptions: a ) 900 , b ) 4000 , c ) 10000 , d ) 17000 , e ) 25000", "output": [ "d" ] }, { "id": "task1423-50b9b212fae148e3866544442e22df11", "input": "Problem: a rectangular lawn of length 200 m by 120 m has two roads running along its center , one along the length and the other along the width . if the width of the roads is 5 m what is the area w covered by the two roads ? \nOptions: a ) 400 , b ) 1550 , c ) 1575 , d ) 1600 , e ) 1625", "output": [ "c" ] }, { "id": "task1423-e54280c86cd941b299bd54394fb5b3cc", "input": "Problem: find the area of the square , one of whose diagonals is 3.8 m long ? \nOptions: ['a ) 7.22 m ^ 2', 'b ) 3.86 m ^ 2', 'c ) 8.96 m ^ 2', 'd ) 2.68 m ^ 2', 'e ) 7.89 m ^ 2']", "output": [ "a" ] }, { "id": "task1423-19efcb2eb87648dd8e71c5c7a2c78fd0", "input": "Problem: volume of a right circular cylinder is 6 o l . if radius of cylinder is doubled , then what will be the increase in volume ? \nOptions: ['a ) 120 l', 'b ) 180 l', 'c ) 240 l', 'd ) 300 l', 'e ) 360 l']", "output": [ "b" ] }, { "id": "task1423-b7a4caf6727845dc87f73df848ca9928", "input": "Problem: the ratio of the volumes of two cubes is 6859 : 1331 . what is the ratio of their total surface areas ? \nOptions: a ) 1 : 21 , b ) 12 : 7 , c ) 1 : 15 , d ) 21 : 17 , e ) 13 : 13", "output": [ "b" ] }, { "id": "task1423-7a451124df814d4780a90627379c7442", "input": "Problem: a square with sides of 15 units each . what would be the area of the square . consider a square as a combination of two right angled triangles . \nOptions: ['a ) 100', 'b ) 256', 'c ) 225', 'd ) 81', 'e ) 144']", "output": [ "c" ] }, { "id": "task1423-95b1a92f30a34f1ca9c665e7682bc779", "input": "Problem: there are 60 slots around a circle , numbered 1 to 60 . a man starts fromthe first slot and jumps to the 5 th slot . from there he jumps to the 9 th slot andso on . in which slot will he land in his 2200 th jump ? \nOptions: ['a ) 1', 'b ) 5', 'c ) 41', 'd ) 45', 'e ) 46']", "output": [ "c" ] }, { "id": "task1423-d6789ba244da460f8779dcccb5c778ac", "input": "Problem: a math teacher has 32 cards , each of which is in the shape of a geometric figure . half of the cards are rectangles , and a third of the cards are rhombuses . if 8 cards are squares , what is the maximum possible number of cards that re circles . \nOptions: a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 15", "output": [ "e" ] }, { "id": "task1423-a18aaddc2b5648058e31d12e93934275", "input": "Problem: if the area of a square with sides of length 3 centimeters is equal to the area of a rectangle with a width of 3 centimeters , what is the length of the rectangle , in centimeters ? \nOptions: a ) 3 , b ) 8 , c ) 12 , d ) 16 , e ) 18", "output": [ "a" ] }, { "id": "task1423-4a766827e9f14959906787958f1b50a9", "input": "Problem: an equilateral triangle t 2 is formed by joining the mid points of the sides of another equilateral triangle t 1 . a third equilateral triangle t 3 is formed by joining the mid - points of t 2 and this process is continued indefinitely . if each side of t 1 is 45 cm , find the sum of the perimeters of all the triangles . \nOptions: a ) 180 cm , b ) 220 cm , c ) 240 cm , d ) 270 cm , e ) 300 cm", "output": [ "d" ] }, { "id": "task1423-c000c9d064c84e72b4b5c9d0211a6a2d", "input": "Problem: a rectangular field is to be fenced on three sides leaving a side of 30 feet uncovered . if the area of the field is 810 sq . feet , how many feet of fencing will be required ? \nOptions: a ) 34 , b ) 40 , c ) 68 , d ) 84 , e ) none", "output": [ "d" ] }, { "id": "task1423-49bc20730f7043dfb6e9b5b2b347f95b", "input": "Problem: find the area of a parallelogram with base 20 cm and height 16 cm ? \nOptions: a ) 198 cm 2 , b ) 320 cm 2 , c ) 279 cm 2 , d ) 128 cm 2 , e ) 297 cm 2", "output": [ "b" ] }, { "id": "task1423-4f44d97e59d2457f9e2caffb6d069e8e", "input": "Problem: find the area of a parallelogram with base 32 cm and height 22 cm ? \nOptions: a ) 281 , b ) 284 , c ) 704 , d ) 640 , e ) 920", "output": [ "c" ] }, { "id": "task1423-afe4f13a8bfc43209ea52d4d0695c7e1", "input": "Problem: the percentage increase in the area of rectangle , if each of its side is increased by 10 % is ? \nOptions: a ) 21 % , b ) 30 % , c ) 25 % , d ) 40 % , e ) 50 %", "output": [ "a" ] }, { "id": "task1423-610e3bd9b15547dfaa0b664399ebeb09", "input": "Problem: the area of a triangle will be when a = 3 m , b = 5 m , c = 10 m , a , b , c being lengths of respective sides ? \nOptions: a ) 3 , b ) 6 , c ) 4 , d ) 9 , e ) 1", "output": [ "d" ] }, { "id": "task1423-03e87d3390724642990c727a9046b637", "input": "Problem: a rectangular block 6 cm by 12 cm by 15 cm is cut into an exact number of equal cubes . find the least possible number of cubes ? \nOptions: a ) 20 , b ) 25 , c ) 40 , d ) 50 , e ) 35", "output": [ "c" ] }, { "id": "task1423-ece4dd9cf5f548069266161144b48fd5", "input": "Problem: in the rectangular coordinate system point o has coordinates ( 0,0 ) and point b has coordinates ( 5,5 ) and if point a is equidistant from points o and b and the area of the triangle oab is 16 , which of the following are the possible coordinates of point a . \nOptions: ['a ) ( - 2,6 )', 'b ) ( 0,4 )', 'c ) ( 2 , - 6 )', 'd ) ( 2,6 )', 'e ) ( 4,0 )']", "output": [ "d" ] }, { "id": "task1423-94bcc6fecc354952b6cd5f65ea65260e", "input": "Problem: the area of a triangle will be when a = 1 m , b = 4 m , c = 5 m , a , b , c being lengths of respective sides ? \nOptions: a ) 2 , b ) 7 , c ) 5 , d ) 3 , e ) 4", "output": [ "c" ] }, { "id": "task1423-87180618ec2e42b0be46e202d342656f", "input": "Problem: the area of a square is equal to four times the area of a rectangle of dimensions 25 cm * 16 cm . what is the perimeter of the square ? \nOptions: a ) 80 cm , b ) 100 cm , c ) 120 cm , d ) 140 cm , e ) 160 cm", "output": [ "e" ] }, { "id": "task1423-d37f9de798c54093b85809e2e421c283", "input": "Problem: spheres a and b have their radil 40 cm and 10 cm respectively . the ratio of the surface area of a to the surface area of b is \nOptions: ['a ) 1 : 4', 'b ) 1 : 16', 'c ) 4 : 1', 'd ) 16 : 1', 'e ) none']", "output": [ "d" ] }, { "id": "task1423-85771ead33434a7486c44c6c0a7b6d9c", "input": "Problem: what will be the cost of building a fence around a square plot with area equal to 81 sq ft , if the price per foot of building the fence is rs . 58 ? \nOptions: a ) 3944 , b ) 2287 , c ) 2977 , d ) 2088 , e ) 1298", "output": [ "d" ] }, { "id": "task1423-0bab707910e648eabcc85121414f630d", "input": "Problem: the area of a triangle is with base 2 m and height 5 m ? \nOptions: a ) 11 , b ) 10 , c ) 787 , d ) 122 , e ) 5", "output": [ "e" ] }, { "id": "task1423-fedc2c0da1f344e9a2bab2925a9b8794", "input": "Problem: what is the measure of the angle x made by the diagonals of the any adjacent sides of a cube . \nOptions: a ) 30 , b ) 45 , c ) 60 , d ) 75 , e ) 90", "output": [ "c" ] }, { "id": "task1423-a848276880b44ccfa2d3d9c283b97b8b", "input": "Problem: if the area of a square with sides of length 7 centimeters is equal to the area of a rectangle with a width of 4 centimeters , what is the length of the rectangle , in centimeters ? \nOptions: a ) 4 , b ) 8 , c ) 12 , d ) 13 , e ) 18", "output": [ "d" ] }, { "id": "task1423-25b75e9240354934a335044996bccd08", "input": "Problem: the perimeter of a triangle is 40 cm and the in radius of the triangle is 2.5 cm . what is the area of the triangle ? \nOptions: a ) 76 , b ) 88 , c ) 66 , d ) 55 , e ) 50", "output": [ "e" ] }, { "id": "task1423-84e28d2610784e25b8ad9dd6b856804f", "input": "Problem: the diagonals of a rhombus are 15 cm and 21 cm . find its area ? \nOptions: a ) 277 , b ) 266 , c ) 150 , d ) 288 , e ) 157.5", "output": [ "e" ] }, { "id": "task1423-7b157a61300c4769ae1b35586ae5a3b2", "input": "Problem: the radius of a cylinder is 6 m , height 21 m . the total surface area of the cylinder is ? \nOptions: a ) 525 , b ) 528 , c ) 522 , d ) 529 , e ) 521", "output": [ "b" ] }, { "id": "task1423-bba64e53871b49fb8158fbe2ea913be1", "input": "Problem: rectangular tile each of size 25 cm by 16 cm must be laid horizontally on a rectangular floor of size 180 cm by 120 cm , such that the tiles do not overlap and they are placed with edges jutting against each other on all edges . a tile can be placed in any orientation so long as its edges are parallel to the edges of floor . no tile should overshoot any edge of the floor . the maximum number of tiles that can be accommodated on the floor is : \nOptions: a ) 52 , b ) 54 , c ) 55 , d ) 65 , e ) 48", "output": [ "b" ] }, { "id": "task1423-444ad1fbcc9c41a498dbc9e937ea8aa1", "input": "Problem: the breadth of a rectangular hall is two - thirds of its length . if the area of the hall is 2400 sq metres , what is the length in metres ? \nOptions: ['a ) 120', 'b ) 80', 'c ) 60', 'd ) 40', 'e ) none of these']", "output": [ "c" ] }, { "id": "task1423-ada4e6f59df045dcb5d461ec4d9b30ec", "input": "Problem: approximately how many cubic feet of water are needed to fill a circular swimming pool that is 70 feet across and 9 feet deep ? \nOptions: ['a ) 4000', 'b ) 10000', 'c ) 20000', 'd ) 35000', 'e ) 45000']", "output": [ "d" ] }, { "id": "task1423-dfbc64d5273c42f897cebb6ac252692f", "input": "Problem: the ratio of the volumes of two cubes is 512 : 729 . what is the ratio of their total surface areas ? \nOptions: a ) 1 : 22 , b ) 81 : 12 , c ) 41 : 46 , d ) 41 : 19 , e ) 84 : 12", "output": [ "c" ] }, { "id": "task1423-5283f655f84545c9ba6ec8aef71e7ca6", "input": "Problem: d and e are two points respectively on sides ab and ac of triangle abc such that de is parallel to bc . if the ratio of area of triangle ade to that of the trapezium decb is 25 : 144 and bc = 13 cm , then find the length of de . \nOptions: a ) 12 , b ) 5 , c ) 14 , d ) 11 , e ) 15", "output": [ "b" ] }, { "id": "task1423-b30a62345f9049d9aef93035e49d5103", "input": "Problem: the diagonals of a rhombus are 16 cm and 20 cm . find its area ? \nOptions: a ) 160 , b ) 288 , c ) 150 , d ) 238 , e ) 31", "output": [ "a" ] }, { "id": "task1423-463afde0d605495f9cca65dba43e284c", "input": "Problem: in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 3.5 ) , ( 10 , 0 ) , ( 0 , - 3.5 ) , ( - 10 , 0 ) ? \nOptions: a ) 56 , b ) 88 , c ) 70 , d ) 116 , e ) 120", "output": [ "c" ] }, { "id": "task1423-6362c0ba6a84481b968d04bc855a230b", "input": "Problem: the diameters of two spheres are in the ratio 1 : 2 what is the ratio of their surface area ? \nOptions: ['a ) 1 : 0', 'b ) 1 : 4', 'c ) 1 : 6', 'd ) 1 : 2', 'e ) 1 : 1']", "output": [ "b" ] }, { "id": "task1423-91c2fd108cc84286b36650c8389787c9", "input": "Problem: the points a ( 0 , 0 ) , b ( 0 , 4 a - 5 ) and c ( 2 a + 1 , 2 a + 5 ) form a triangle . if angle abc = 90 , what is the area of triangle abc ? \nOptions: a ) 80 , b ) 82.5 , c ) 78.5 , d ) 75.5 , e ) 74", "output": [ "b" ] }, { "id": "task1423-97353533713245a693f82f1ea21930d9", "input": "Problem: if the side length of square b is sqrt ( 5 ) times that of square a , the area of square b is how many times the area of square a ? \nOptions: a ) 1.5 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "e" ] }, { "id": "task1423-a5555ff160f34b08ad49f3fe88162741", "input": "Problem: a small table has a length of 12 inches and a breadth of b inches . cubes are placed on the surface of the table so as to cover the entire surface . the maximum side of such cubes is found to be 4 inches . also , a few such tables are arranged to form a square . the minimum length of side possible for such a square is 80 inches . find b . \nOptions: ['a ) 8', 'b ) 16', 'c ) 24', 'd ) 32', 'e ) 48']", "output": [ "b" ] }, { "id": "task1423-ee86ca886d674c69a3a44a6ed7ae8cff", "input": "Problem: if the area of a circle decreases by 20 % , then the radius of a circle decreases by \nOptions: ['a ) 20 %', 'b ) 18 %', 'c ) 36 %', 'd ) 11 %', 'e ) none of these']", "output": [ "d" ] }, { "id": "task1423-e522bd42759b4cb2920b09b0f8bb17d8", "input": "Problem: three table runners have a combined area of 204 square inches . by overlapping the runners to cover 80 % of a table of area 175 square inches , the area that is covered by exactly two layers of runner is 24 square inches . what is the area of the table that is covered with three layers of runner ? \nOptions: a ) 18 square inches , b ) 20 square inches , c ) 24 square inches , d ) 28 square inches , e ) 30 square inches", "output": [ "b" ] }, { "id": "task1423-34ee17a490ae43268084b992c55afc86", "input": "Problem: a rectangular grass field is 75 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 10 per sq m ? \nOptions: a ) 6350 , b ) 7357 , c ) 6328 , d ) 6750 , e ) 7560", "output": [ "d" ] }, { "id": "task1423-b561181b364b4dc59e32b3bd2debb334", "input": "Problem: a certain cube floating in a bucket of water has between 60 and 85 percent of its volume below the surface of the water . if between 9 and 26 cubic centimeters of the cube ' s volume is above the surface of the water , then the length of a side of the cube is approximately \nOptions: a ) 4 , b ) 5 , c ) 7 , d ) 8 , e ) 9", "output": [ "a" ] }, { "id": "task1423-1ff8897b061842e1881141d0886fc1ec", "input": "Problem: a 7 - meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 1 if the original wire was cut at an arbitrary point ? \nOptions: a ) 4 / 5 , b ) 6 / 7 , c ) 5 / 8 , d ) 7 / 9 , e ) 9 / 10", "output": [ "b" ] }, { "id": "task1423-92190f2da8fb4a23bf110eb2e8ce9c56", "input": "Problem: the parameter of a square is equal to the perimeter of a rectangle of length 20 cm and breadth 16 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) ? \nOptions: a ) 28.28 cm , b ) 25.45 cm , c ) 26.45 cm , d ) 20.18 cm , e ) 32.14 cm", "output": [ "a" ] }, { "id": "task1423-e5ae7e9af5ed494c91c40aeaef4fedd0", "input": "Problem: mr . loyd wants to fence his square shaped land of 150 sqft each side . if a pole is laid every 10 ft how many poles do he need ? \nOptions: a ) 20 , b ) 30 , c ) 40 , d ) 60 , e ) 65", "output": [ "d" ] }, { "id": "task1423-7e699d458c524d9a8d87ccc62d90df87", "input": "Problem: the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 54 square centimeters , what is the length of the rectangle in centimeters ? \nOptions: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", "output": [ "d" ] }, { "id": "task1423-4becf3999c7246d49d64e3268417ccb6", "input": "Problem: a person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes . if field has a length that is twice its width , find the area of the field in square meters . \nOptions: ['a ) 20,000 square meters', 'b ) 10,000 square meters', 'c ) 30,000 square meters', 'd ) 40,000 square meters', 'e ) 50,000 square meters']", "output": [ "a" ] }, { "id": "task1423-c27c3baf05604dddb700e8a0dc4beeda", "input": "Problem: the product of the squares of two positive integers is 400 . how many pairs of positive integers satisfy this condition ? \nOptions: ['a ) 0', 'b ) 1', 'c ) 2', 'd ) 3', 'e ) 4']", "output": [ "d" ] }, { "id": "task1423-d5180f96de5a4ec69dff3d1dc505737c", "input": "Problem: if the length of the sides of two cubes are in the ratio 5 : 1 , what is the ratio of their total surface area ? \nOptions: a ) 5 : 1 , b ) 10 : 1 , c ) 25 : 1 , d ) 50 : 1 , e ) 150 : 1", "output": [ "c" ] }, { "id": "task1423-1267482fdbd641748dd06310ff748e08", "input": "Problem: in measuring the sides of a rectangle , one side is taken 8 % in excess and other 5 % in deficit . find the error percentage in the area calculated from these measurements . \nOptions: a ) 3.5 % , b ) 2.4 % , c ) 3 % , d ) 5 % , e ) 2.6 %", "output": [ "e" ] }, { "id": "task1423-326309a5e5e74764918c854a90448736", "input": "Problem: what is the angle between the hands of a clock when time is 8 : 30 ? \nOptions: a ) 65 deg , b ) 75 deg , c ) 45 deg , d ) 15 deg , e ) 30 deg", "output": [ "b" ] }, { "id": "task1423-c9cea66f7a7f48deb3c0f4d4aba4cf21", "input": "Problem: if b is the center of the circle in the figure above and the area of the shaded region is 16 π , what is the length of arc adc ? \nOptions: ['a ) 4', 'b ) 4 π', 'c ) 16', 'd ) 8 π', 'e ) 16']", "output": [ "b" ] }, { "id": "task1423-fb7eea703398411397365694cc668067", "input": "Problem: find the area of a parallelogram with base 24 cm and height 12 cm ? \nOptions: a ) 297 cm 2 , b ) 384 cm 2 , c ) 672 cm 2 , d ) 267 cm 2 , e ) 288 cm 2", "output": [ "e" ] }, { "id": "task1423-a9f7baefb4c34331840a5b51b82a3891", "input": "Problem: if a number is subtracted from its square we get 272 . find the number ? \nOptions: ['a ) 7', 'b ) 21', 'c ) 19', 'd ) 15', 'e ) 17']", "output": [ "e" ] }, { "id": "task1423-a8214f7ff93a4310b9fd8a2d385e522f", "input": "Problem: a rectangle having length 105 cm and width 40 cm . if the length of the rectangle is increased by 20 5 percent then how much percent the breadth should be decreased so as to maintain the same area . \nOptions: a ) 25 % , b ) 19.23 % , c ) 40 % , d ) 75 % , e ) none of these", "output": [ "b" ] }, { "id": "task1423-e755434065624f41a971982d7b7cc6eb", "input": "Problem: how many pieces can a square pizza be cut into by making 6 linear cuts ? \nOptions: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24", "output": [ "c" ] }, { "id": "task1423-97844c1e30a5475596a0712be485d380", "input": "Problem: in the rectangular coordinate system , points ( 16 , 0 ) and ( – 16 , 0 ) both lie on circle c . what is the maximum possible value of the radius of c ? \nOptions: a ) 2 , b ) 4 , c ) 8 , d ) 16 , e ) none of the above", "output": [ "d" ] }, { "id": "task1423-2f777180ddb34ca287aced339855753f", "input": "Problem: a cube of edge 15 cm is immersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 20 cm * 14 cm , find the rise in water level ? \nOptions: a ) 6 cm , b ) 12.05 cm , c ) 11.25 cm , d ) 15.12 cm , e ) 20.62 cm", "output": [ "b" ] }, { "id": "task1423-76289a15023e449d9ccbcc755686236e", "input": "Problem: the area of a square is equal to five times the area of a rectangle of dimensions 50 cm * 10 cm . what is the perimeter of the square ? \nOptions: a ) 289 cm , b ) 200 cm , c ) 829 cm , d ) 288 cm , e ) 289 cm", "output": [ "b" ] }, { "id": "task1423-4ce14c15988240dc8483fff971ae1e0e", "input": "Problem: the side of a square is increased by 20 % then how much % does its area increases ? \nOptions: a ) 44.00 % , b ) 45.25 % , c ) 48.75 % , d ) 50.00 % , e ) 40.00 %", "output": [ "a" ] }, { "id": "task1423-5ebe08b883b547d5851d9e768f96c107", "input": "Problem: two circular signs are to be painted . if the diameter of the larger sign is 7 times that of the smaller sign , how many times more paint is needed to paint the larger sign ? ( we can assume that a given amount of paint covers the same area on both signs . ) \nOptions: a ) 7 , b ) 14 , c ) 42 , d ) 49 , e ) 98", "output": [ "d" ] }, { "id": "task1423-5fa1fb53fdc34f65b05344abe604f481", "input": "Problem: what positive number , when squared , is equal to the cube of the positive square root of 15 ? \nOptions: a ) 64 , b ) 32 , c ) 8 , d ) 6 , e ) 2", "output": [ "d" ] }, { "id": "task1423-bd90f6778e8a4fa784ebf09f69fa8ebf", "input": "Problem: the surface of a cube is 24 sq cm . find its volume ? \nOptions: a ) 8 , b ) 6 , c ) 4 , d ) 3 , e ) 1", "output": [ "a" ] }, { "id": "task1423-e28fa4089a75459090b4b8e68849a4e7", "input": "Problem: the area of a square is equal to five times the area of a rectangle of dimensions 27 cm * 16 cm . what is the perimeter of the square ? \nOptions: a ) 140 , b ) 240 , c ) 340 , d ) 144 , e ) 122", "output": [ "d" ] }, { "id": "task1423-3db5f00311c149428f1f9b90af2f331d", "input": "Problem: what will be the cost of building a fence around a rectangular plot with area equal to 289 sq ft , if the price per foot of building the fence is rs . 50 ? \nOptions: ['a ) a ) rs . 3944', 'b ) b ) rs . 3948', 'c ) c ) rs . 3519.5', 'd ) d ) rs . 3949', 'e ) e ) rs . 3923']", "output": [ "c" ] }, { "id": "task1423-1b9357ec56cb49df83a5997beec1959e", "input": "Problem: right triangle abc is to be drawn in the xy - plane so that the right angle is at a and ab is parallel to the y - axis . if the x - and y - coordinates of a , b , and c are to be integers that are consistent with the inequalities - 4 ≤ x ≤ 2 and 4 ≤ y ≤ 9 , then how many different triangles can be drawn that will meet these conditions ? \nOptions: a ) 54 , b ) 432 , c ) 864 , d ) 2,916 , e ) 148,824", "output": [ "c" ] }, { "id": "task1423-5e732c41c2f0489ebe18f21895bebd50", "input": "Problem: the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 363 sq m , then what is the breadth of the rectangular plot ? \nOptions: a ) 11 , b ) 17 , c ) 18 , d ) 101 , e ) 1322", "output": [ "a" ] }, { "id": "task1423-fcbd6fd73e904b6cb191dee4c7180666", "input": "Problem: the area of sector of a circle whose radius is 12 metro and whose angle at the center is 41 ° is ? \nOptions: a ) 49 m 2 , b ) 50 m 2 , c ) 51.5 m 2 , d ) 53 m 2 , e ) 59 m 2", "output": [ "c" ] }, { "id": "task1423-5f52537d9a1f40529e54dc8fe82dfa3c", "input": "Problem: frank the fencemaker needs to fence in a rectangular yard . he fences in the entire yard , except for one full side of the yard , which equals 40 feet . the yard has an area of 240 square feet . how many feet offence does frank use ? \nOptions: a ) 14 , b ) 52 , c ) 54 , d ) 180 , e ) 240", "output": [ "b" ] }, { "id": "task1423-d3272ee87a5d47e2b0ae3ba66f9ac5a9", "input": "Problem: the slant height of a cone is 21 cm and radius of the base is 10 cm , find the curved surface of the cone . \nOptions: a ) 330 , b ) 770 , c ) 660 , d ) 100 , e ) 600", "output": [ "c" ] }, { "id": "task1423-29025f0e5b7d4775b4e99c2c9a228a26", "input": "Problem: the ratio of the volumes of two cubes is 729 : 1331 . what is the ratio of their total surface areas ? \nOptions: a ) 81 : 121 , b ) 81 : 126 , c ) 81 : 189 , d ) 81 : 176 , e ) 81 : 117", "output": [ "a" ] }, { "id": "task1423-46fcb78f76134064a6c6861adf9e2e10", "input": "Problem: a certain rectangular window is ( 2 / 5 ) times as long as it is wide . if its perimeter is 28 feet , what are its dimensions in terms of length by width ? \nOptions: a ) 12 by 2 , b ) 11 by 3 , c ) 10.5 by 3.5 , d ) 10 by 4 , e ) 9 by 3", "output": [ "d" ] }, { "id": "task1423-95fbf2b6c6c2488c8c8d10eca51dc670", "input": "Problem: a 6 by 8 rectangle is inscribed in circle . what is the circumference of the circle ? \nOptions: a ) 5 π , b ) 10 π , c ) 15 π , d ) 20 π , e ) 25 π", "output": [ "b" ] }, { "id": "task1423-6f07c7afd0b74610955dd8f251028aeb", "input": "Problem: the volume of a rectangular swimming pool is 840 cubic meters and water is flowing into the swimming pool . if the surface level of the water is rising at the rate of 0.5 meters per minute , what is the rate w , in cubic meters per minutes , at which the water is flowing into the swimming pool ? \nOptions: ['a ) 0.125', 'b ) 0.25', 'c ) 0.5', 'd ) 0.75', 'e ) not enough information to determine the rate']", "output": [ "e" ] }, { "id": "task1423-ea62c5cb9f6443f694a73072778d0e5a", "input": "Problem: what is the area of square field whose side of length 10 m ? \nOptions: a ) 100 , b ) 662 , c ) 772 , d ) 882 , e ) 21", "output": [ "a" ] }, { "id": "task1423-fd3225f82bf441e4a857cf9d23519d5d", "input": "Problem: if circles x and y have the same area and circle x has a circumference of 18 π , half of the radius of circle y is : \nOptions: a ) 16 , b ) 4.5 , c ) 4 , d ) 2 , e ) 1", "output": [ "b" ] }, { "id": "task1423-24cfd53b0a044961b4aa45ef0c39f0a2", "input": "Problem: the perimeter of one face of a cube is 32 cm . its volume will be : \nOptions: a ) 125 cm 3 , b ) 400 cm 3 , c ) 512 cm 3 , d ) 625 cm 3 , e ) none of these", "output": [ "c" ] }, { "id": "task1423-113c315207e64130be9358cd6a2c6cff", "input": "Problem: two cylinders are of the same height . their radii are in the ratio 1 : 3 . if the volume of the first cylinder is 40 cc . find the volume of the second cylinder ? \nOptions: ['a ) 360 cc', 'b ) 60 cc', 'c ) 300 cc', 'd ) 36 cc', 'e ) 39 cc']", "output": [ "a" ] }, { "id": "task1423-2f653173ef754576b1442a871e9f8032", "input": "Problem: the number 49 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ? \nOptions: a ) 11 , b ) 16 , c ) 15 , d ) 14 , e ) 13", "output": [ "a" ] }, { "id": "task1423-6ed7f10df46f4de4868e45bc1d523ab4", "input": "Problem: two isosceles triangles have equal vertical angles and their areas are in the ratio 9 : 25 . find the ratio of their corresponding heights . \nOptions: a ) 4 / 5 , b ) 5 / 4 , c ) 3 / 2 , d ) 5 / 7 , e ) 3 / 5", "output": [ "e" ] }, { "id": "task1423-2b26a5371d074c92ba5b05c57f3ea41b", "input": "Problem: the product of the squares of two positive integers is 100 . how many pairs of positive integers satisfy this condition ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "c" ] }, { "id": "task1423-dd887a5b9e7a4090ada758c99009a873", "input": "Problem: the perimeter of an isosceles right triangle is 14 + 14 sq rt 2 . what is the length of the hypotenuse of the triangle ? \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9.899", "output": [ "e" ] }, { "id": "task1423-16bffb55a66a450dba520f6aef878bee", "input": "Problem: if the circumference of a circle increases from 4 pi to 8 pi , what change occurs in the area ? \nOptions: ['a ) area is quadrupled', 'b ) area is tripled', 'c ) area is doubles', 'd ) area become half', 'e ) none of these']", "output": [ "a" ] }, { "id": "task1423-057ee376a4d54964a597c49019182ec8", "input": "Problem: the area of a triangle is with base 18 m and height 6 m ? \nOptions: a ) 88 m 2 , b ) 10 m 2 , c ) 66 m 2 , d ) 54 m 2 , e ) 31 m 2", "output": [ "d" ] }, { "id": "task1423-e5d3d7df5a1a40a589297e443955164e", "input": "Problem: if f is the smallest positive integer such that 3,150 multiplied by f is the square of an integer , then f must be \nOptions: ['a ) 2', 'b ) 5', 'c ) 6', 'd ) 7', 'e ) 14']", "output": [ "e" ] }, { "id": "task1423-02098078be0d49d2ac087b19927606ae", "input": "Problem: a cylindrical container with 6 meters diameter and a height of 8 meters is filled to capacity with water . if the water is then used to fill several smaller cylinders ( 2 meters radius and 5 meters height ) , how many smaller cylinders can be filled to capacity before the larger cylinder becomes empty ? \nOptions: ['a ) 5', 'b ) 4', 'c ) 3', 'd ) 2', 'e ) 1']", "output": [ "c" ] }, { "id": "task1423-084d7c7466614a4b9b7b1e402e45647a", "input": "Problem: the area of a parallelogram is 200 sq m and its altitude is twice the corresponding base . then the length of the base is ? \nOptions: a ) 8 , b ) 9 , c ) 7 , d ) 10 , e ) 5", "output": [ "d" ] }, { "id": "task1423-2b134ebe53504bc9bf8264eca29cc8af", "input": "Problem: in right triangle abc , ac is the hypotenuse . if ac is 20 and ab + bc = 50 , what is the area of the triangle abc ? \nOptions: a ) 225 , b ) 525 , c ) 25 √ 2 , d ) 200 , e ) 200 √ 2", "output": [ "b" ] }, { "id": "task1423-da07d7e8ed3b4a16bc89a1dc9493f652", "input": "Problem: find the curved surface area , if the radius of a cone is 28 m and slant height is 30 m ? \nOptions: a ) 2550 , b ) 2640 , c ) 3960 , d ) 4280 , e ) 5490", "output": [ "b" ] }, { "id": "task1423-1740c20b89de4c12bca9904d7a9eb58a", "input": "Problem: the length of each side of an equilateral triangle having an area of 4 â ˆ š 3 cm 2 is ? \nOptions: ['a ) 4 / 3 cm', 'b ) 3 / 4 cm', 'c ) 3 cm', 'd ) 4 cm', 'e ) 5 cm']", "output": [ "d" ] }, { "id": "task1423-da591b14669942d9a0faf6401cae2bf1", "input": "Problem: the length of rectangle is thrice its breadth and its perimeter is 64 m , find the area of the rectangle ? \nOptions: a ) 432 sq m , b ) 192 sq m , c ) 452 sq m , d ) 428 sq m , e ) 528 sq m", "output": [ "b" ] }, { "id": "task1423-a8dd41880fb54a0884b0bd86bb912e04", "input": "Problem: the area of a rectangular field is equal to 500 square meters . its perimeter is equal to 90 meters . find the width of this rectangle . \nOptions: a ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) 25", "output": [ "d" ] }, { "id": "task1423-7fb65ac9f8754ebfa89403288695b56d", "input": "Problem: right triangle abc is the base of the prism in the figure above . if ab = ac = √ 2 and the height of the prism is 3 , what is the volume of the prism ? \nOptions: ['a ) 1', 'b ) 3 / 2', 'c ) 2', 'd ) 3', 'e ) 6']", "output": [ "d" ] }, { "id": "task1423-3ea97e56566c4740b67dd348aea08317", "input": "Problem: the volume of a sphere with radius r is ( 4 / 3 ) * pi * r ^ 3 and the surface area is 4 * pi * r ^ 3 . if a sperical balloon has a volume of 36 pi cubic centimeters , what is hte surface area of the balloon in square centimeters ? \nOptions: a ) a . 40 , b ) b . 100 , c ) c . 400 , d ) d . 1,000 , e ) e . 10,000", "output": [ "b" ] }, { "id": "task1423-a7b8fb7d69c745b5ac90d6fd43d5f25b", "input": "Problem: a paper is in a square form whose one side is 20 cm . two semi circles are drawn on its opposites as diameters . if these semi circles are cut down what is the area of the remaining paper ? \nOptions: ['a ) 8.76', 'b ) 8.79', 'c ) 8.75', 'd ) 8.74', 'e ) 8.72']", "output": [ "c" ] }, { "id": "task1423-795cf5415c80450dbd3cb4f35206d0f5", "input": "Problem: an equilateral triangle t 2 is formed by joining the mid points of the sides of another equilateral triangle t 1 . a third equilateral triangle t 3 is formed by joining the mid - points of t 2 and this process is continued indefinitely . if each side of t 1 is 30 cm , find the sum of the perimeters of all the triangles . \nOptions: a ) 180 cm , b ) 220 cm , c ) 240 cm , d ) 270 cm , e ) 300 cm", "output": [ "a" ] }, { "id": "task1423-62c1b90397c3464085eb5727f275da93", "input": "Problem: the cost of paint is 60 per kilograme . a kilogram paint covers 20 square feet . how much will it cost to paint the outside of a cube having each side 10 feet ? \nOptions: ['a ) 3000', 'b ) 900', 'c ) 1800', 'd ) 360', 'e ) none of these']", "output": [ "c" ] }, { "id": "task1423-b4d131272c8e4e87a30d329916ecce76", "input": "Problem: a spirit and water solution is sold in a market . the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has . a solution of 1 liter of spirit and 1 liter of water costs 80 cents . how many cents does a solution of 1 liter of spirit and 2 liters of water cost ? \nOptions: a ) 53 , b ) 66 , c ) 60 , d ) 85 , e ) 80", "output": [ "e" ] }, { "id": "task1423-09b2ae6c2e784c1d8788a084624430d1", "input": "Problem: in the coordinate plane , one of the vertices of a square is the point ( - 6 , - 4 ) . if the diagonals of that square intersect at point ( 3 , 2 ) , what is the area of that square ? \nOptions: ['a ) 100', 'b ) 169', 'c ) 324', 'd ) 196', 'e ) 225']", "output": [ "c" ] }, { "id": "task1423-f364db0255a54cbf8be62825c6b42c1e", "input": "Problem: the area of the square formed on the diagonal of a rectangle as its side is 108 1 / 3 % more than the area of the rectangle . if the perimeter of the rectangle is 28 units , find the difference between the sides of the rectangle ? \nOptions: ['a ) 5', 'b ) 4', 'c ) 7', 'd ) 2', 'e ) 1']", "output": [ "d" ] }, { "id": "task1423-76d73b9f84a2415782013c59dffbd1f0", "input": "Problem: a larger cube has 125 cubic inch as a volume and in the cube there are 125 smaller cubes such that their volume is 1 cubic inch . what is the difference between the surface areas ’ sum of the 125 smaller cubes and the surface area of the larger cube , in square inch ? \nOptions: a ) 54 , b ) 600 , c ) 81 , d ) 108 , e ) 120", "output": [ "b" ] }, { "id": "task1423-2fb4ec46c9934bcea2ac0381b21ec88f", "input": "Problem: the length of a rectangle is twice its breadth . if its length is decreased by 10 cm and breadth is increased by 10 cm , the area of the rectangle is increased by 75 sq . cm . what is the length of the rectangle ? \nOptions: a ) 25 cm , b ) 35 cm , c ) 30 cm , d ) 45 cm , e ) 55 cm", "output": [ "b" ] }, { "id": "task1423-1405b50f2e3743c48e136e248dfcd90a", "input": "Problem: a circular well with a diameter of 4 metres , is dug to a depth of 24 metres . what is the volume of the earth dug out ? \nOptions: a ) 32 m 3 , b ) 36 m 3 , c ) 40 m 3 , d ) 44 m 3 , e ) 301.6", "output": [ "e" ] }, { "id": "task1423-b4be2bf637634aba87ac1afcc992f0f1", "input": "Problem: the area of a circular place is 17.56 hectares . find the cost of fencing it at the rate of rs . 3 / meter approximately . \nOptions: ['a ) rs . 4233', 'b ) rs . 4350', 'c ) rs . 4457', 'd ) rs . 4670', 'e ) rs . 4756']", "output": [ "c" ] }, { "id": "task1423-88e8d6274cee471389ec636e498a6f15", "input": "Problem: the sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 480 m , its area is ? \nOptions: a ) 150 , b ) 240 , c ) 277 , d ) 261 , e ) 281", "output": [ "b" ] }, { "id": "task1423-5db6f106ad06429882818e88ec108a24", "input": "Problem: in a triangle abc , point d is on side ab and point e is on side ac , such that bced is a trapezium . de : bc = 3 : 5 . calculate the ratio of the area of triangle ade and the trapezium bced . \nOptions: ['a ) 9 / 16', 'b ) 8 / 16', 'c ) 7 / 16', 'd ) 6 / 16', 'e ) 5 / 16']", "output": [ "a" ] }, { "id": "task1423-52cd5c5475cd4233b32bbb50427bdab8", "input": "Problem: rectangular tile each of size 60 cm by 56 cm must be laid horizontally on a rectangular floor of size 560 cm by 240 cm , such that the tiles do not overlap and they are placed with edges jutting against each other on all edges . a tile can be placed in any orientation so long as its edges are parallel to the edges of floor . no tile should overshoot any edge of the floor . the maximum number of tiles that can be accommodated on the floor is : \nOptions: a ) 50 , b ) 54 , c ) 47 , d ) 40 , e ) 45", "output": [ "d" ] }, { "id": "task1423-3027f5e7fd2d4b65899a4fc534ab28dc", "input": "Problem: if each side of a right triangle is increased by 10 % and the base ( b ) is half of the height , find the percentage change in its area ? \nOptions: ['a ) 26 %', 'b ) 21 %', 'c ) 15 %', 'd ) 18 %', 'e ) 12 %']", "output": [ "b" ] }, { "id": "task1423-2c16f4f296084dd4aa6d55b87e38dbbf", "input": "Problem: 16 business executives and 7 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ? \nOptions: a ) 144 , b ) 131 , c ) 232 , d ) 90 , e ) 45", "output": [ "c" ] }, { "id": "task1423-dee0410abeed43c0a8736156b9bcca24", "input": "Problem: a rectangular paper , when folded into two congruent parts had a perimeter of 34 cm for each part folded along one set of sides and the same is 38 cm when folded along the other set of sides . what is the area of the paper ? \nOptions: ['a ) 140 cm', 'b ) 240 cm 2', 'c ) 560 cm 2', 'd ) none of these', 'e ) can not be determined']", "output": [ "a" ] }, { "id": "task1423-5e12d2fdd7cb4647acc2083e2189ff2c", "input": "Problem: the sides of the triangle are in the ratio 1 / 2 : 1 / 3 : 1 / 4 and its perimeter is 104 cm . the length of the longest side is ? \nOptions: ['a ) 32 cm', 'b ) 48 cm', 'c ) 50 cm', 'd ) 28 cm', 'e ) 30 cm']", "output": [ "b" ] }, { "id": "task1423-77d2427f1abe4177a50af8a63f7d7093", "input": "Problem: eric throws 2 dice , and his score is the sum of the values shown . sandra throws one dice and her score is the square of the value shown . what is the probabilty that sandras score will be strictly higher than erics score ? ? \nOptions: ['a ) 137 / 216', 'b ) 137 / 218', 'c ) 137 / 217', 'd ) 136 / 216', 'e ) 138 / 216']", "output": [ "a" ] }, { "id": "task1423-029bd9f8ddf04169b3cd3f9ff04b482b", "input": "Problem: a rectangular field has a length 10 meters more than it is width . if the area of the field is 171 , what is the length ( in meters ) of the rectangular field ? \nOptions: ['a ) 17', 'b ) 19', 'c ) 21', 'd ) 23', 'e ) 25']", "output": [ "b" ] }, { "id": "task1423-d681ed465ca44698bdd88f5ff44e2843", "input": "Problem: can n and can в are both right circular cylinders . the radius of can n is twice the radius of can b , while the height of can n is half the height of can b . if it costs $ 4.00 to fill half of can b with a certain brand of gasoline , how much would it cost to completely fill can n with the same brand of gasoline ? \nOptions: ['a ) $ 1', 'b ) $ 2', 'c ) $ 4', 'd ) $ 8', 'e ) $ 16']", "output": [ "e" ] }, { "id": "task1423-f942fd8a99a4469b915812d349519e72", "input": "Problem: a rectangle having length 140 cm and width 40 cm . if the length of the rectangle is increased by thirty percent then how much percent the breadth should be decreased so as to maintain the same area . \nOptions: a ) 17.64 % , b ) 33.33 % , c ) 40 % , d ) 75 % , e ) none of these", "output": [ "a" ] }, { "id": "task1423-a7a28b9894f34e8dbb2433e252ea87a2", "input": "Problem: the perimeter of a rectangular yard is completely surrounded by a fence that measures 36 meters . what is the length of the yard if the area of the yard is 40 meters squared ? \nOptions: a ) 12 , b ) 10 , c ) 8 , d ) 14 , e ) 16", "output": [ "c" ] }, { "id": "task1423-a6f27269ff634e04b4c4ac90a13d9a82", "input": "Problem: a cube of edge 6 cm is cut into cubes each of edge 2 cm . the ratio of the total surface area of one of the small cubes to that of the large cube is equal to : \nOptions: a ) 1 : 9 , b ) 1 : 225 , c ) 1 : 52 , d ) 1 : 522 , e ) none", "output": [ "a" ] }, { "id": "task1423-af575b65be304c8986263a6c858e8ec4", "input": "Problem: if the perimeter of square region z and the perimeter of rectangular region r are equal and the sides of r are in the ratio 2 : 3 then the ratio of the area of r to the area of z \nOptions: ['a ) 25 : 16', 'b ) 24 : 25', 'c ) 5 : 6', 'd ) 4 : 5', 'e ) 4 : 9']", "output": [ "b" ] }, { "id": "task1423-d73304718f464532a95b437310798982", "input": "Problem: in the coordinate plane , a circle centered on point ( - 3 , - 4 ) passes through point ( 1 , 2 ) . what is the area of the circle ? \nOptions: a ) 9 π , b ) 18 π , c ) 25 π , d ) 37 π , e ) 52 π", "output": [ "e" ] }, { "id": "task1423-c68249b5676b496a9d6ad88a111437e9", "input": "Problem: a circular well with a diameter of 2 meters , is dug to a depth of 14 meters . what is the volume of the earth dug out . \nOptions: ['a ) 40 m 3', 'b ) 42 m 3', 'c ) 44 m 3', 'd ) 46 m 3', 'e ) none of these']", "output": [ "c" ] }, { "id": "task1423-e112e5c0df284a39b81e3a3a4e786619", "input": "Problem: in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 7.5 ) , ( 8 , 0 ) , ( 0 , - 7.5 ) , ( - 8 , 0 ) ? \nOptions: a ) 56 , b ) 88 , c ) 112 , d ) 116 , e ) 120", "output": [ "e" ] }, { "id": "task1423-92959ac2ee104b07be1dd36637303ef0", "input": "Problem: the volume of a certain substance is always directly proportional to its weight . if 48 cubic inches of the substance weigh 112 ounces , what is the volume , in cubic inches , of 84 ounces of this substance ? \nOptions: ['a ) 27', 'b ) 36', 'c ) 42', 'd ) 64', 'e ) 147']", "output": [ "b" ] }, { "id": "task1423-1b0e67974cfa43a496cfb7db3a08b664", "input": "Problem: a horse is tethered to one corner of a rectangular grassy field 46 m by 20 m with a rope 17 m long . over how much area of the field can it graze ? \nOptions: a ) 154 cm 2 , b ) 308 m 2 , c ) 227 m 2 , d ) 407 m 2 , e ) none of these", "output": [ "c" ] }, { "id": "task1423-4e2a68cade9e413aab3b9d8d848b8b65", "input": "Problem: find the smallest number which should be multiplied with 520 to make it a perfect square . \nOptions: a ) 30 , b ) 120 , c ) 55 , d ) 35 , e ) none of these", "output": [ "e" ] }, { "id": "task1423-6d89439a116a40b5814732ac2d5a2551", "input": "Problem: the roof of an apartment building is rectangular and its length is 4 times longer than its width . if the area of the roof is 900 feet squared , what is the difference between the length and the width of the roof ? \nOptions: ['a ) 38 .', 'b ) 40 .', 'c ) 42 .', 'd ) 44 .', 'e ) 45 .']", "output": [ "e" ] }, { "id": "task1423-95a22215ae084d8c9aebdb42d1a395a3", "input": "Problem: the ratio of the areas of a square and rhombus whose base is same is : \nOptions: a ) 1 : 2 , b ) 2 : 1 , c ) 1 : 1 , d ) 3 : 1 , e ) 2 : 3", "output": [ "c" ] }, { "id": "task1423-6f3e0d145d374d6c962f559d5030c91e", "input": "Problem: a metallic sheet is of rectangular shape with dimensions 48 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m cube ) is : \nOptions: a ) 4120 m cube , b ) 4140 m cube , c ) 5140 m cube , d ) 5120 m cube , e ) none of these", "output": [ "d" ] }, { "id": "task1423-9bdcd36450534fd6a011562baa62b6ac", "input": "Problem: the floor of a rectangular room is 18 m long and 12 m wide . the room is surrounded by a veranda of width 2 m on all its sides . the area of the veranda is : \nOptions: a ) 124 m 2 , b ) 126 m 2 , c ) 136 m 2 , d ) 158 m 2 , e ) none of these", "output": [ "c" ] }, { "id": "task1423-29c9afd6b6e64b0da6a57485bad20db8", "input": "Problem: in a company of 148 employees , 92 are females . a total of 78 employees have advanced degrees and the rest have a college degree only . if 31 employees are males with college degree only , how many employees are females with advanced degrees ? \nOptions: a ) 50 , b ) 51 , c ) 52 , d ) 53 , e ) 54", "output": [ "d" ] }, { "id": "task1423-3991e47bb7614d8c861bda20a5a5cc88", "input": "Problem: how many internal diagonals does a nonagon ( nine sided polygon ) have ? \nOptions: a ) 25 , b ) 27 , c ) 40 , d ) 56 , e ) 80", "output": [ "b" ] }, { "id": "task1423-6322c50f9a694ecd913483735d6327cb", "input": "Problem: three table runners have a combined area of 220 square inches . by overlapping the runners to cover 80 % of a table of area 175 square inches , the area that is covered by exactly two layers of runner is 24 square inches . what is the area of the table that is covered with three layers of runner ? \nOptions: a ) 18 square inches , b ) 20 square inches , c ) 24 square inches , d ) 28 square inches , e ) 30 square inches", "output": [ "d" ] }, { "id": "task1423-5dd72576181344e4b568062e2a0c202d", "input": "Problem: in may , the grounds keeper at spring lake golf club built a circular green with an area of 64 π square feet . in august , he doubled the distance from the center of the green to the edge of the green . what is the total area of the renovated green ? \nOptions: a ) 100 pi , b ) 144 pi , c ) 196 pi , d ) 256 pi , e ) 78", "output": [ "d" ] }, { "id": "task1423-ebf017646a134b3daf2b50c93a282372", "input": "Problem: a hall is 15 m long and 12 m broad . if the sum of the areas of the floor and the ceiling is equal to the sum of areas of the four walls , the volume of hall is ? \nOptions: ['a ) 1100', 'b ) 1200', 'c ) 1300', 'd ) 1400', 'e ) 1500']", "output": [ "b" ] }, { "id": "task1423-1af5b925014b43dc93f5d815fbc8966c", "input": "Problem: what is the perimeter , in meters , of a rectangular garden 8 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide ? \nOptions: a ) 48 , b ) 56 , c ) 64 , d ) 76 , e ) 192", "output": [ "c" ] }, { "id": "task1423-4dead9a0cf794450a6599d79a62d0734", "input": "Problem: a cube has one of its faces painted half red and half white . the other faces are completely painted white . what is the ratio between the red painted areas and the white painted areas of the cube ? \nOptions: a ) 1 : 6 , b ) 1 : 11 , c ) 2 : 5 , d ) 1 : 8 , e ) 3 : 11", "output": [ "b" ] }, { "id": "task1423-f41af808f8a446638a84bc98d81d7c08", "input": "Problem: if the sides of a square are multiplied by 5 , the area of the original square is how many times as large as the area of the resultant square ? \nOptions: a ) 4 % , b ) 25 % , c ) 50 % , d ) 200 % , e ) 400 %", "output": [ "a" ] }, { "id": "task1423-792f6d973da34458bcf752a5f7569b9f", "input": "Problem: the ratio of the volumes of two cubes is 27 : 125 . what is the ratio of their total surface areas ? \nOptions: a ) 9 : 25 , b ) 9 : 35 , c ) 81 : 124 , d ) 81 : 126 , e ) 81 : 129", "output": [ "a" ] }, { "id": "task1423-65eda30ddefa408d9937c69869e9395d", "input": "Problem: rectangular tile each of size 20 cm by 30 cm must be laid horizontally on a rectangular floor of size 100 cm by 150 cm , such that the tiles do not overlap and they are placed with edges jutting against each other on all edges . a tile can be placed in any orientation so long as its edges are parallel to the edges of floor . no tile should overshoot any edge of the floor . the maximum number of tiles that can be accommodated on the floor is : \nOptions: a ) 40 , b ) 15 , c ) 25 , d ) 32 , e ) 45", "output": [ "c" ] }, { "id": "task1423-a6d8cc4347624dd48ad006df81ffe941", "input": "Problem: the area of a rectangular plot is 20 times its breadth . if the difference between the length and the breadth is 10 metres , what is its breadth ? \nOptions: a ) 10 metres , b ) 5 metres , c ) 7.5 metres , d ) data inadequate , e ) none of these", "output": [ "a" ] }, { "id": "task1423-3776bb251910499ca7efd65a864506a6", "input": "Problem: what is the area of an equilateral triangle whose one side length is 70 ? \nOptions: a ) 825 √ 3 , b ) 925 √ 3 , c ) 1025 √ 3 , d ) 1125 √ 3 , e ) 1225 √ 3", "output": [ "e" ] }, { "id": "task1423-3c645a93c4f94bd58befb81868459531", "input": "Problem: a circular mat with radius 10 inches is placed on a square tabletop , each of whose sides is 24 inches long . which of the following is closest to the fraction of the tabletop covered by the mat ? \nOptions: ['a ) 5 / 12', 'b ) 2 / 5', 'c ) 0.5451', 'd ) 3 / 4', 'e ) 5 / 6']", "output": [ "c" ] }, { "id": "task1423-0f9866e8efbf4aaeace2a8d28532b2c1", "input": "Problem: if each side of a rectangle is increased by 100 % , by what % the area increases ? \nOptions: ['a ) 100 %', 'b ) 200 %', 'c ) 250 %', 'd ) 300 %', 'e ) 400 %']", "output": [ "d" ] }, { "id": "task1423-3ff4dcc6a3d04ab8bc3e18b953970486", "input": "Problem: the points a ( 0 , 0 ) , b ( 0 , 4 a - 5 ) and c ( 2 a + 1 , 2 a + 4 ) form a triangle . if angle abc = 90 , what is the area of triangle abc ? \nOptions: a ) 80 , b ) 75 , c ) 70 , d ) 60 , e ) 65", "output": [ "e" ] }, { "id": "task1423-9557452f034a4674ac5a591d8ce477b8", "input": "Problem: find the area of a rhombus one side of which measures 20 cm and one diagonal is 28 cm . \nOptions: ['a ) 200 cm 2', 'b ) 300 cm 2', 'c ) 400 cm 2', 'd ) 448 cm 2', 'e ) 100 cm 2']", "output": [ "d" ] }, { "id": "task1423-088d5086899d47b8a9a992280dde7c17", "input": "Problem: the ratio of the area of a square to that of the square drawn on its diagonal is ? \nOptions: ['a ) 2 : 5', 'b ) 3 : 4', 'c ) 3 : 5', 'd ) 1 : 2', 'e ) 2 : 3']", "output": [ "d" ] }, { "id": "task1423-cb59b8ce7b864d368bd9b0ae20e60bb9", "input": "Problem: if the side length of square b is sqrt ( 3 ) times that of square a , the area of square b is how many times the area of square a ? \nOptions: ['a ) 9', 'b ) 6', 'c ) 4', 'd ) 3', 'e ) 2']", "output": [ "d" ] }, { "id": "task1423-45ce8140f6b44ed89fc6192729963bfa", "input": "Problem: the radius of the two circular fields is in the ratio 5 : 4 the area of the first field is what percent greater than the area of the second ? \nOptions: a ) 22 % , b ) 32 % , c ) 34 % , d ) 64 % , e ) 36 %", "output": [ "d" ] }, { "id": "task1423-bf0bc04e1cd04abe8770a044ac5f9733", "input": "Problem: a circular garden is surrounded by a fence of negligible width along the boundary . if the length of the fence is 1 / 4 of th area of the garden . what is the radius of the circular garden ? \nOptions: a ) 1 , b ) 2 , c ) 4 , d ) 8 , e ) 16", "output": [ "d" ] }, { "id": "task1423-059f15f57c9d4724bce7c051df5e9004", "input": "Problem: the area of sector of a circle whose radius is 12 metro and whose angle at the center is 30 еў is ? \nOptions: a ) 35 m 2 , b ) 36 m 2 , c ) 37 m 2 , d ) 38 m 2 , e ) 40 m 2", "output": [ "c" ] }, { "id": "task1423-ea7bec15b20f4d4ca27e4b6e55a50427", "input": "Problem: the diagonal of a rhombus are 62 m and 80 m . its area is : \nOptions: a ) 1940 , b ) 2480 , c ) 2460 , d ) 2500 , e ) 1980", "output": [ "b" ] }, { "id": "task1423-07ba30925d664a199d04be8c26c6d62b", "input": "Problem: what is the maximum number of pieces that a circular pizza can be cut into with 6 linear cuts ? \nOptions: ['a ) 12', 'b ) 13', 'c ) 16', 'd ) 20', 'e ) 22']", "output": [ "e" ] }, { "id": "task1423-777518b1ca8a43ad836a57e1beb019cb", "input": "Problem: the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 867 sq m , then what is the breadth of the rectangular plot ? \nOptions: ['a ) 19 m', 'b ) 17 m', 'c ) 10 m', 'd ) 12 m', 'e ) 18 m']", "output": [ "b" ] }, { "id": "task1423-db5267b9ef6d4c4ba282d39c5cc875ab", "input": "Problem: a circular swimming pool is surrounded by a concrete wall 4 feet wide . if the area of the wall is 11 / 25 of the area of the pool , then the radius of the pool in feet is ? \nOptions: ['a ) 22', 'b ) 20', 'c ) 9', 'd ) 8', 'e ) 1']", "output": [ "b" ] }, { "id": "task1423-24596de8c0314bae975337dd773836a4", "input": "Problem: a metallic sheet is of rectangular shape with dimensions 48 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 3 m , the volume of the box ( in m 3 ) is : \nOptions: a ) 3780 , b ) 5120 , c ) 6420 , d ) 8960 , e ) 7960", "output": [ "a" ] }, { "id": "task1423-03fba5e4a7814e7d9644cb1ba4ac7c1d", "input": "Problem: a lady builds 8 cm length , 15 cm width , and 5 cm height box using 10 cubic cm cubes . what is the minimum number of cubes required to build the box ? \nOptions: a ) 107 , b ) 60 , c ) 70 , d ) 89 , e ) 78", "output": [ "b" ] }, { "id": "task1423-6f10348a0d5d4e0cbbbb452afb400c58", "input": "Problem: a rectangular lawn 70 m × 30 m has two roads each 5 metres wide , running in the middle of it , one parallel to the length and the other parallel to the breadth . find the cost of gravelling the road at the rate of 4 per square metre . \nOptions: ['a ) 2,000', 'b ) 1,800', 'c ) 1,900', 'd ) 1,700', 'e ) none of these']", "output": [ "c" ] }, { "id": "task1423-9f321e34b374460ab61322ace01b5d81", "input": "Problem: the diagonals of a rhombus are 12 cm and 10 cm . find its area ? \nOptions: a ) 158 , b ) 129 , c ) 150 , d ) 123 , e ) 60", "output": [ "e" ] }, { "id": "task1423-a527df5a8b4048caad644e67181fe7ff", "input": "Problem: how many odd numbers between 10 and 1500 are the squares of integers ? \nOptions: a ) 11 , b ) 14 , c ) 17 , d ) 20 , e ) 23", "output": [ "c" ] }, { "id": "task1423-06744b82d24d47d381d5dc18fc458cd1", "input": "Problem: the area of a triangle is with base 4 m and height 6 m ? \nOptions: a ) 11 m 2 , b ) 10 m 2 , c ) 18 m 2 , d ) 19 m 2 , e ) 12 m 2", "output": [ "e" ] }, { "id": "task1423-957bcc08f42c4ddba41443451e224877", "input": "Problem: a 45 ° - 45 ° - 90 ° right triangle has hypotenuse of length h . what is the area of the triangle t in terms of h ? \nOptions: ['a ) h / √ 2', 'b ) h / 2', 'c ) h / 4', 'd ) ( h ) ^ 2', 'e ) ( h ) ^ 2 / 4']", "output": [ "e" ] }, { "id": "task1423-fca2ebc2cc3c49469527b6faa39ef30c", "input": "Problem: a rectangular farm has to be fenced one long side , one short side and the diagonal . if the cost of fencing is rs . 10 per meter . the area of farm is 1200 m 2 and the short side is 30 m long . how much would the job cost ? \nOptions: a ) 2387 , b ) 1298 , c ) 1128 , d ) 1237 , e ) 1200", "output": [ "e" ] }, { "id": "task1423-124d2237300041249a6d53adcf88cc92", "input": "Problem: the volume of a box with a square base is 128 cubic cm . the area of the base of the box is 8 inches more than the height . what is the length of the base of the box ? \nOptions: ['a ) 4 cm', 'b ) 8 cm', 'c ) 16 cm', 'd ) 24 cm', 'e ) none of the above']", "output": [ "a" ] }, { "id": "task1423-c984b0a288e74d4e8e0be29b0ec2b6ed", "input": "Problem: if the height of a cone is increased by 120 % then its volume is increased by ? \nOptions: a ) 100 , b ) 777 , c ) 998 , d ) 729 , e ) 120", "output": [ "e" ] }, { "id": "task1423-9e6b51558926416588e7f5e3cda5624a", "input": "Problem: right triangle pqr is to be constructed in the xy - plane so that the right angle is at p and pr is parallel to the x - axis . the x and y coordinates of p , q and r are to be integers that satisfy the inequalitites - 4 ≤ x ≤ 5 and 6 ≤ y ≤ 16 . how many different triangles with these properties could be constructed ? \nOptions: a ) 110 , b ) 1100 , c ) 9900 , d ) 10000 , e ) 12100", "output": [ "c" ] }, { "id": "task1423-30570ced04164406a484d2eb51338d90", "input": "Problem: a rectangular room has the rectangular shaped rug shown as above figure such that the rug ’ s area is 180 square feet and its length is 8 feet longer than its width . if the uniform width between the rug and room is 8 feet , what is the area of the region uncovered by the rug ( shaded region ) , in square feet ? \nOptions: ['a ) 32', 'b ) 36', 'c ) 704', 'd ) 46', 'e ) 104']", "output": [ "c" ] }, { "id": "task1423-60aa7fd9349d4f39a7b1e58c65d53954", "input": "Problem: the area of a triangle is with base 10 m and height 5 m ? \nOptions: a ) 11 , b ) 25 , c ) 787 , d ) 122 , e ) 12", "output": [ "b" ] }, { "id": "task1423-4646a52e3cf44dadae4f6c648c7be9b1", "input": "Problem: the area of rhombus is 150 cm square . the length of one of the its diagonals is 10 cm . the length of the other diagonal is : \nOptions: ['a ) 15 cm', 'b ) 20 cm', 'c ) 25 cm', 'd ) 30 cm', 'e ) none of these']", "output": [ "d" ] }, { "id": "task1423-2852e59667b44b83823241b632774cf7", "input": "Problem: a rectangular wall is covered entirely with two kinds of decorative tiles : regular and jumbo . 1 / 3 of the tiles are jumbo tiles , which have a length three times that of regular tiles and have the same ratio of length to width as the regular tiles . if regular tiles cover 70 square feet of the wall , and no tiles overlap , what is the area of the entire wall ? \nOptions: a ) 160 , b ) 240 , c ) 385 , d ) 440 , e ) 560", "output": [ "c" ] }, { "id": "task1423-91e83175bdf34644be29d1ef98788dff", "input": "Problem: the length of the rectangular field is double its width . inside the field there is square shaped pond 9 m long . if the area of the pond is 1 / 8 of the area of the field . what is the length of the field ? \nOptions: a ) 54 , b ) 36 , c ) 75 , d ) 28 , e ) 11", "output": [ "b" ] }, { "id": "task1423-2fc424250fe448a683e109daba93b305", "input": "Problem: a metallic sheet is of rectangular shape with dimensions 48 m x 34 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m 3 ) is : \nOptions: a ) 4830 , b ) 5120 , c ) 4608 , d ) 7500 , e ) 8960", "output": [ "c" ] }, { "id": "task1423-144c6db84d514675ae7217fd409db1d9", "input": "Problem: a rectangular block 8 cm by 24 cm by 56 cm is cut into an exact number of equal cubes . find the least possible number of cubes ? \nOptions: a ) 6 , b ) 10 , c ) 15 , d ) 40 , e ) 21", "output": [ "e" ] }, { "id": "task1423-cdf6663439b14e9c8d88b98f088da355", "input": "Problem: abcd is a square . f and e are the midpoints of sides ad and cd , respectively . the area of triangle fed is 2 square inches . what is the area of square abcd ( in square inches ) ? \nOptions: ['a ) 4', 'b ) 8', 'c ) 16', 'd ) 32', 'e ) 64']", "output": [ "c" ] }, { "id": "task1423-91d702d9d1ca4a0abbaa6dc23fc9f0fe", "input": "Problem: the area of a square field is 64816 sq m . how long will a lady take to cross the field diagonally at the rate of 7.2 km / hr ? \nOptions: a ) 2 min , b ) 4 min , c ) 5 min , d ) 3 min , e ) 3.5 min", "output": [ "d" ] }, { "id": "task1423-f1114e895f31420abb43bcdfb1ae91ba", "input": "Problem: the length of a rectangle is increased by 40 % while its width is halved . what is the % change in area ? \nOptions: ['a ) 25 %', 'b ) 30 %', 'c ) 50 %', 'd ) 65 %', 'e ) 70 %']", "output": [ "b" ] }, { "id": "task1423-9fdf5d3c37f64391b266751f44ada4d1", "input": "Problem: the parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places \nOptions: a ) 34 , b ) 35 , c ) 56 , d ) 67 , e ) 23.57", "output": [ "e" ] }, { "id": "task1423-2746d7c2621a4e8e9070829964f61e25", "input": "Problem: a rectangular lawn of dimensions 90 m * 60 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 3 per sq m ? \nOptions: a ) s . 3988 , b ) s . 3900 , c ) s . 3228 , d ) s . 4200 , e ) s . 3928", "output": [ "d" ] }, { "id": "task1423-1c3b0208b76542c7b1e77a4ec8ffd503", "input": "Problem: a rectangular room has the rectangular shaped rug shown as above figure such that the rug ’ s area is 160 square feet and its length is 6 feet longer than its width . if the uniform width between the rug and room is 6 feet , what is the area of the region uncovered by the rug ( shaded region ) , in square feet ? \nOptions: a ) 32 , b ) 456 , c ) 40 , d ) 46 , e ) 104", "output": [ "b" ] }, { "id": "task1423-63f8c27412af4b49b5c59a22beb6ab1b", "input": "Problem: the perimeter of a square is 28 cm . what is the perimeter of a circle whose radius is equal to the side of the square ? ( in cm ) \nOptions: ['a ) 14', 'b ) 28', 'c ) 42', 'd ) 44', 'e ) 56']", "output": [ "d" ] }, { "id": "task1423-3edffcd3052a48a5839b0c6fc54ec25b", "input": "Problem: the area of a circular field is 13.86 hectares . find the cost of fencing it at the rate of rs . 4.50 per metre . \nOptions: a ) 2399 , b ) 3888 , c ) 2999 , d ) 5940 , e ) 2888", "output": [ "d" ] }, { "id": "task1423-82bed38aa77f437ab68ef2a7e803d1b2", "input": "Problem: if the length of the longest chord of a certain circle is 14 , what is the radius of that certain circle ? \nOptions: a ) 2.5 , b ) 5 , c ) 10 , d ) 7 , e ) 9", "output": [ "d" ] }, { "id": "task1423-2f78d3b17aa3473c8aaae97543c24cac", "input": "Problem: a rectangular tiled patio is composed of 60 square tiles . the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles . after the change in layout , the patio will still have 60 tiles , and it will still be rectangular . how many rows are in the tile patio before the change in layout ? \nOptions: a ) 5 , b ) 6 , c ) 10 , d ) 13 , e ) 8", "output": [ "e" ] }, { "id": "task1423-fa097deb03904a3aa9e2f2e18b2267b1", "input": "Problem: one side of a rectangular field is 16 m and one of its diagonal is 17 m . find the area of the field . \nOptions: a ) 100 , b ) 120 , c ) 91.2 , d ) 180 , e ) none", "output": [ "c" ] }, { "id": "task1423-a0a3e19706b24e79a3fc839bdb32bbd6", "input": "Problem: if the sum of a number and its square is 272 , what is the number ? \nOptions: a ) 14 , b ) 16 , c ) 19 , d ) 21 , e ) none of these", "output": [ "b" ] }, { "id": "task1423-be6bcdfbd7654ac6938b2ffbb806fbcf", "input": "Problem: if y is the smallest positive integer such that 630 multiplied by y is the square of an integer , then y must be \nOptions: a ) 20 , b ) 50 , c ) 60 , d ) 70 , e ) 140", "output": [ "d" ] }, { "id": "task1423-2a84719844fa4282a523a4b1ecfaefa8", "input": "Problem: in the rectangular coordinate system , points ( 5 , 0 ) and ( – 5 , 0 ) both lie on circle c . what is the maximum possible value of the radius of c ? \nOptions: a ) 2 , b ) 4 , c ) 8 , d ) 16 , e ) none of the above", "output": [ "b" ] }, { "id": "task1423-3005ecc060cd419ca83b33f4fec432e1", "input": "Problem: a rectangle measures 8 cm on length and its diagonal measures 17 cm . what is the perimeter of the rectangle ? \nOptions: ['a ) 44 cm', 'b ) 42 cm', 'c ) 46 cm', 'd ) 49 cm', 'e ) 41 cm']", "output": [ "c" ] }, { "id": "task1423-31cc55325781441eb60b3a0bb50b509e", "input": "Problem: a polygon has 44 diagonals , then the number of its sides are \nOptions: ['a ) 11', 'b ) 9', 'c ) 7', 'd ) 5', 'e ) 3']", "output": [ "a" ] }, { "id": "task1423-0433473a3e844bf5af2b5bef67d74d43", "input": "Problem: if the area of a circle decreases by 30 % , then the radius of a circle decreases by \nOptions: a ) 20 % , b ) 16 % , c ) 36 % , d ) 64 % , e ) none of these", "output": [ "b" ] }, { "id": "task1423-e4fa2e098da04ad7953fdf907674b33b", "input": "Problem: the perimeter of a triangle is 20 cm and the inradius of the triangle is 3 cm . what is the area of the triangle ? \nOptions: a ) 22 , b ) 30 , c ) 77 , d ) 54 , e ) 23", "output": [ "b" ] }, { "id": "task1423-bc404f9c3374495a93deec409ed4cdde", "input": "Problem: the ratio of radius of a circle and the side of a square is 2 : 13 . find the ratio of their areas : \nOptions: ['a ) 2 : 1', 'b ) 4 : 7', 'c ) 8 : 77', 'd ) 4 : 169', 'e ) none']", "output": [ "d" ] }, { "id": "task1423-7151243900174b0ba6be31eb1c7902a3", "input": "Problem: the perimeter of a triangle is 28 cm and the inradius of the triangle is 2.0 cm . what is the area of the triangle ? \nOptions: a ) 28 cm 2 , b ) 27 cm 2 , c ) 29 cm 2 , d ) 25 cm 2 , e ) 35 cm 2", "output": [ "a" ] }, { "id": "task1423-88f3fe6c376e49068359b26498823673", "input": "Problem: if the length of the sides of two cubes are in the ratio 6 : 1 , what is the ratio of their total surface area ? \nOptions: a ) 6 : 1 , b ) 12 : 1 , c ) 24 : 1 , d ) 36 : 1 , e ) 72 : 1", "output": [ "d" ] }, { "id": "task1423-8d578af1863840a690b1e16d557a57a1", "input": "Problem: the volume v of a rectangular swimming pool is 840 cubic meters and water is flowing into the swimming pool . if the surface level of the water is rising at the rate of 0.5 meters per minute , what is the rate , in cubic meters per minutes , at which the water is flowing into the swimming pool ? \nOptions: ['a ) 0.125', 'b ) 0.25', 'c ) 0.5', 'd ) 0.75', 'e ) not enough information to determine the rate']", "output": [ "e" ] }, { "id": "task1423-ea6f406c2b1e4cd5a008740a09d2a4e4", "input": "Problem: find the area of a parallelogram with base 20 cm and height 10 cm ? \nOptions: ['a ) 290 cm 2', 'b ) 380 cm 2', 'c ) 270 cm 2', 'd ) 280 cm 2', 'e ) 200 cm 2']", "output": [ "e" ] }, { "id": "task1423-13328b9d985a454b99df69be016b9efc", "input": "Problem: a 15 by 20 rectangle is inscribed in circle . what is the circumference of the circle ? \nOptions: a ) 5 π , b ) 10 π , c ) 15 π , d ) 20 π , e ) 25 π", "output": [ "e" ] }, { "id": "task1423-b1ec6c2f81a14ee6bdd06d5086046b49", "input": "Problem: in a circle with a radius of 6 , what is the area of the biggest rectangle that can be cut out of this circle ? \nOptions: ['a ) 12', 'b ) 96', 'c ) 50', 'd ) 72', 'e ) 144']", "output": [ "d" ] }, { "id": "task1423-802b09c0524c4dfb92b65e5f78f379a5", "input": "Problem: a rectangular swimming pool is 20 feet by 28 feet . a deck that has uniform width surrounds the pool . the total area of the pool and deck is 884 square feet . what is the width of the deck ? \nOptions: a ) 2 feet , b ) 2.5 feet , c ) 3 feet , d ) 4 feet , e ) 5 feet", "output": [ "c" ] }, { "id": "task1423-3563d312ad0e4965a59369a469f38ffe", "input": "Problem: the side of a square is increased by 10 % then how much % does its area increases ? \nOptions: a ) 21 , b ) 56.25 , c ) 50.75 , d ) 42.75 , e ) 52.75", "output": [ "a" ] }, { "id": "task1423-01b6d3fa92044cefa7d8206ab526aa6c", "input": "Problem: a 9 - meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ? \nOptions: a ) 1 / 5 , b ) 2 / 7 , c ) 2 / 9 , d ) 3 / 10 , e ) 4 / 11", "output": [ "c" ] }, { "id": "task1423-6ac79735ecd341f1b3e6f82076f8febb", "input": "Problem: the breadth of a rectangular field is 60 % of its length . if the perimeter of the field is 800 m . what is the area of the field ? \nOptions: ['a ) 18750 sq . m', 'b ) 37500 sq . m', 'c ) 40000 sq . m', 'd ) 48000 sq . m', 'e ) none of these']", "output": [ "b" ] }, { "id": "task1423-a8932b0c71ef48f3ba69ea9393f9e905", "input": "Problem: a rectangular photograph is surrounded by a border that is 1 inch wide on each side . the total area of the photograph and the border is m square inches . if the border had been 4 inches wide on each side , the total area would have been ( m + 108 ) square inches . what is the perimeter of the photograph , in inches ? \nOptions: a ) 34 , b ) 36 , c ) 16 , d ) 40 , e ) 42", "output": [ "c" ] }, { "id": "task1423-3dacaac821f045f294969fc39a3bdb1e", "input": "Problem: two isosceles triangles have equal vertical angles and their areas are in the ratio 4 : 9 . find the ratio of their corresponding heights . \nOptions: ['a ) 4 / 5', 'b ) 5 / 4', 'c ) 3 / 2', 'd ) 5 / 7', 'e ) 2 / 3']", "output": [ "e" ] }, { "id": "task1423-c63831971c16425788c8c64b32af205d", "input": "Problem: 30 square stone slabs of equal size were needed to cover a floor area of 67.5 sq . m . find the length of each stone slab ? \nOptions: a ) 150 cm , b ) 767 cm , c ) 88 cm , d ) 666 cm , e ) 776 cm", "output": [ "a" ] }, { "id": "task1423-4a0180fcd7694b76afa346bfb500a706", "input": "Problem: if the length of a rectangle is increased by 10 % and the area is unchanged , then its corresponding breadth must be decreased by ? \nOptions: ['a ) 9 1 / 19', 'b ) 9 1 / 15', 'c ) 9 1 / 16', 'd ) 9 1 / 11', 'e ) 9 1 / 10']", "output": [ "e" ] }, { "id": "task1423-c8d3495cae764bd8a2bbd5d9e885d467", "input": "Problem: what is the measure of the radius of the circle that circumscribes a triangle whose sides measure 2 , 3 and 5 ? \nOptions: a ) 2.5 , b ) 3 , c ) 4 , d ) 4.5 , e ) 5", "output": [ "a" ] }, { "id": "task1423-e23f9f24dfa34d28ac5e9eb5769d088e", "input": "Problem: the largest three digit number which is a perfect cube , is : \nOptions: a ) 125 , b ) 999 , c ) 343 , d ) 512 , e ) 729", "output": [ "e" ] }, { "id": "task1423-6a3915c4784a48ee83cc316ccfd24ba2", "input": "Problem: a rectangular block 12 cm by 20 cm by 36 cm is cut into an exact number of equal cubes . find the least possible number of cubes ? \nOptions: a ) 135 , b ) 10 , c ) 15 , d ) 40 , e ) 22", "output": [ "a" ] }, { "id": "task1423-8b7f5808972c482bb09b4a8455f0759b", "input": "Problem: the area of an isosceles trapezoid with sides of length 5 and bases of length 6 and 12 is ? \nOptions: a ) 44 , b ) 42 , c ) 40 , d ) 38 , e ) 36", "output": [ "e" ] }, { "id": "task1423-b4c9885b859f428e84a822fa8876b551", "input": "Problem: when magnified 1,000 times by an electron microscope , the image of a certain circular piece of tissue has a diameter of 1 centimeter . the actual diameter of the tissue , in centimeters , is \nOptions: a ) 0.005 , b ) 0.002 , c ) 0.001 , d ) 0.0005 , e ) 0.0002", "output": [ "c" ] }, { "id": "task1423-86c7be813df54d37878f9bc9de556163", "input": "Problem: the radius of the two circular fields is in the ratio 4 : 10 the area of the second field is what percent greater than the area of the first ? \nOptions: ['a ) 72 %', 'b ) 96 %', 'c ) 94 %', 'd ) 84 %', 'e ) 82 %']", "output": [ "d" ] }, { "id": "task1423-58abc884267e4050aa08463db35ad36c", "input": "Problem: what is the total surface area in square meters of a rectangular solid whose length is 9 meters , width is 8 meters , and depth is 5 meters ? \nOptions: a ) 152 m 2 , b ) 162 m 2 , c ) 180 m 2 , d ) 300 m 2 , e ) 314 m 2", "output": [ "e" ] }, { "id": "task1423-f383a84b9eb74b3cac2089e695c864ee", "input": "Problem: there are two concentric circles such that the area of the outer circle is four times the area of the inner circle . let a , b and c be three distinct points on the perimeter of the outer circle such that ab and ac are tangents to the inner circle . if the area of the outer circle is 12 square centimetres then the area ( in square centimetres ) of the triangle abc would be \nOptions: ['a ) π √ \\u200b 12', 'b ) 9 / π', 'c ) 9 √ 3 / π', 'd ) 6 √ 3 / π', 'e ) none of these']", "output": [ "c" ] }, { "id": "task1423-a2139614e69a4efd931ed36f4fe1eb54", "input": "Problem: what is the perimeter , in meters , of a rectangular garden 12 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide ? \nOptions: a ) 48 , b ) 56 , c ) 60 , d ) 56 , e ) 192", "output": [ "d" ] }, { "id": "task1423-1cf4aaa310f94f1ba54a81c8aba740c7", "input": "Problem: in measuring the sides of a rectangle , one side is taken 4 % in excess , and the other 3 % in deficit . find the error percent in the area calculated from these measurements . \nOptions: a ) 0.11 % , b ) 0.7 % , c ) 0.4 % , d ) 0.6 % , e ) 0.88 %", "output": [ "e" ] }, { "id": "task1423-af942fd96f43451b8e55d1818d5448c7", "input": "Problem: what is the area of a square field whose sides have a length of 11 meters ? \nOptions: a ) 225 sq m , b ) 205 sq m , c ) 121 sq m , d ) 167 sq m , e ) 156 sq m", "output": [ "c" ] }, { "id": "task1423-d1f6f31b99d14a629e4bbebd7d705762", "input": "Problem: the area of a circle is increased by 800 % . by what percent has the diameter of the circle increased ? \nOptions: a ) 100 % , b ) 200 % , c ) 300 % , d ) 600 % , e ) 800 %", "output": [ "e" ] }, { "id": "task1423-7a98258eee7642eba179960c9e06d1f0", "input": "Problem: if each edge of a cube is doubled , then its volume : \nOptions: ['a ) becomes 8 times', 'b ) becomes 9 times', 'c ) is double', 'd ) becomes 6 times', 'e ) none']", "output": [ "a" ] }, { "id": "task1423-917c73254b4243428d5da3e61564dcc8", "input": "Problem: the ratio of males to females in a class is 2 : 3 . the career preferences of the students in the class are represented in a circle graph . if the area of the graph allocated to each career preference is proportional to the number of students who have that career preference , how many degrees of the circle should be used to represent a career that is preferred by one - fourth of the males and three - fourths of the females in the class ? \nOptions: a ) 186 , b ) 192 , c ) 198 , d ) 204 , e ) 210", "output": [ "c" ] }, { "id": "task1423-26b8de5a8a0b4351bae7f9ab4855a77f", "input": "Problem: if the sides of a triangle are 4 cm , 9 cm and 13 cm , what is its area ? \nOptions: a ) 18 , b ) 20 , c ) 22 , d ) 26 , e ) 28", "output": [ "a" ] }, { "id": "task1423-4b26ff75df4740fea49fe8f92295cc17", "input": "Problem: a horse is tethered to one corner of a rectangular grassy field 45 m by 25 m with a rope 22 m long . over how much area of the field can it graze ? \nOptions: a ) 354 cm 2 , b ) 380 m 2 , c ) 350 m 2 , d ) 407 m 2 , e ) none of these", "output": [ "b" ] }, { "id": "task1423-076bf5291394489bb54fc0228c07e7b9", "input": "Problem: marty ' s pizza shop guarantees that their pizzas all have at least 75 % of the surface area covered with toppings , with a crust of uniform width surrounding them . if you order their best seller – a circular pizza with a diameter of 16 inches – what is the maximum width you can expect to see for the crust ? \nOptions: ['a ) 0.8 inches', 'b ) 1.1 inches', 'c ) 1.6 inches', 'd ) 2.0 inches', 'e ) 2.5 inches']", "output": [ "b" ] }, { "id": "task1423-48ce841e2bb3417582157cd9fb0450b8", "input": "Problem: rectangular tile each of size 80 cm by 55 cm must be laid horizontally on a rectangular floor of size 210 cm by 330 cm , such that the tiles do not overlap and they are placed with edges jutting against each other on all edges . a tile can be placed in any orientation so long as its edges are parallel to the edges of floor . no tile should overshoot any edge of the floor . the maximum number of tiles that can be accommodated on the floor is : \nOptions: a ) 26 , b ) 16 , c ) 18 , d ) 19 , e ) 20", "output": [ "b" ] }, { "id": "task1423-8134104c7d044fa08da061084c21c346", "input": "Problem: a square mirror has exactly half the area of the rectangular wall on which it is hung . if each side of the mirror is 21 inches and the width of the wall is 28 inches , what is the length of the wall , in inches ? \nOptions: a ) 21.5 , b ) 31.5 , c ) 41.5 , d ) 61.5 , e ) 71.5", "output": [ "b" ] }, { "id": "task1423-c5eb1679513546879c8cfd347f6496ba", "input": "Problem: when 732 is subtracted form the square of a number , the answer that is obtained is 5280 . what is the number ? \nOptions: ['a ) 228', 'b ) 103', 'c ) 286', 'd ) 122', 'e ) 102']", "output": [ "b" ] }, { "id": "task1423-deb1ecdd161c4e1c8870c09af34977bc", "input": "Problem: one side of a rectangle is 3 cm shorter than the other side . if we increase the length of each side by 1 cm , then the area of the rectangle will increase by 18 cm 2 . find the lengths of all sides . \nOptions: a ) 10 and 3 , b ) 7 and 10 , c ) 10 and 7 , d ) 3 and 10 , e ) 10 and 10", "output": [ "c" ] }, { "id": "task1423-46d489903b8a49149233cbd7e7fc2254", "input": "Problem: the radius of a cylinder is 12 m , height 21 m . the lateral surface area of the cylinder is : \nOptions: ['a ) 1584', 'b ) 1854', 'c ) 1458', 'd ) 1485', 'e ) none of them']", "output": [ "a" ] }, { "id": "task1423-d0b72789b84245b7952f34cf2b427e32", "input": "Problem: the length of a rectangular field is 7 / 5 its width . if the perimeter of the field is 288 meters , what is the width of the field ? \nOptions: ['a ) 50', 'b ) 60', 'c ) 70', 'd ) 80', 'e ) 90']", "output": [ "b" ] }, { "id": "task1423-98892668fdb6465c840d8cc0f4c7f894", "input": "Problem: a cube has a volume of 64 cubic feet . if a similar cube is twice as long , twice as wide , and twice as high , then the volume , in cubic feet of such cube is ? \nOptions: ['a ) 24', 'b ) 48', 'c ) 64', 'd ) 80', 'e ) 512']", "output": [ "e" ] }, { "id": "task1423-40abf95570ac490ba7597bfb5c4248c2", "input": "Problem: a rectangular lawn of dimensions 110 m * 60 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 3 per sq m ? \nOptions: a ) s . 3988 , b ) s . 4800 , c ) s . 3228 , d ) s . 3922 , e ) s . 3928", "output": [ "b" ] }, { "id": "task1423-bac417fe9ed7410ea64c1543a22ad913", "input": "Problem: what is the ratio between perimeters of two squares one having 3 times the diagonal then the other ? \nOptions: ['a ) 3 : 2', 'b ) 3 : 0', 'c ) 4 : 1', 'd ) 3 : 1', 'e ) 2 : 2']", "output": [ "d" ] }, { "id": "task1423-9dd1355ccd624b26bf950879eb3e86a7", "input": "Problem: if the length of a rectangle is halved and its breadth is tripled , what is the percentage change in its area ? \nOptions: ['a ) 30', 'b ) 40', 'c ) 50', 'd ) 60', 'e ) 70']", "output": [ "c" ] }, { "id": "task1423-ee15fb311334465ca69b1b88bc7077ed", "input": "Problem: the length of the rectangular field is double its width . inside the field there is square shaped pond 8 m long . if the area of the pond is 1 / 50 of the area of the field . what is the length of the field ? \nOptions: a ) 73 , b ) 32 , c ) 34 , d ) 43 , e ) 80", "output": [ "e" ] }, { "id": "task1423-53b65c11ea8a420b89c6146c7d6c2ddf", "input": "Problem: a rectangular photograph is surrounded by a border that is 1 inch wide on each side . the total area of the photograph and the border is m square inches . if the border had been 3 inches wide on each side , the total area would have been ( m + 64 ) square inches . what is the perimeter of the photograph , in inches ? \nOptions: ['a ) 16', 'b ) 24', 'c ) 32', 'd ) 40', 'e ) 48']", "output": [ "a" ] }, { "id": "task1423-19ace69066144f9dab92b1c06a116d06", "input": "Problem: the height of a triangle is decreased by 5 % and its base increased by 10 % . its area will \nOptions: ['a ) decrease by 12.5 %', 'b ) increase by 12.5 %', 'c ) increase by 4.5 %', 'd ) increase by 25 %', 'e ) none of these']", "output": [ "c" ] }, { "id": "task1423-b2d2820a28e94f8490660ba787ef6040", "input": "Problem: a football field is 8400 square yards . if 1200 pounds of fertilizer are spread evenly across the entire field , how many pounds of fertilizer were spread over an area of the field totaling 3500 square yards ? \nOptions: a ) 450 , b ) 600 , c ) 500 , d ) 2400 , e ) 3200", "output": [ "c" ] }, { "id": "task1423-4641e1a7802b48d3a4fe2e84be050f43", "input": "Problem: the length and breadth of a square are increased by 40 % and 30 % respectively . the area of the rectangle so formed exceeds the area of the square by ? \nOptions: ['a ) 82 %', 'b ) 78 %', 'c ) 80 %', 'd ) 90 %', 'e ) none of these']", "output": [ "a" ] }, { "id": "task1423-dd9e07a2d83342fb9f3ab31d11b9504b", "input": "Problem: 50 square stone slabs of equal size were needed to cover a floor area of 72 sq . m . find the length of each stone slab ? \nOptions: a ) 120 cm , b ) 767 cm , c ) 88 cm , d ) 666 cm , e ) 776 cm", "output": [ "a" ] }, { "id": "task1423-d1357dbe51884254a09d45c602487c32", "input": "Problem: the area of a parallelogram is 450 sq m and its altitude is twice the corresponding base . then the length of the base is ? \nOptions: a ) 8 , b ) 9 , c ) 7 , d ) 6 , e ) 15", "output": [ "e" ] }, { "id": "task1423-80e8c8a864ab47a1ae4c57645f8c05d5", "input": "Problem: what is the perimeter of a triangle with sides 7 and 5 that has the maximum possible area ? \nOptions: ['a ) 12 + √ 7', 'b ) 12 + 4 √ 7', 'c ) 12 + √ 47', 'd ) 12 + 4 √ 47', 'e ) 12 + √ 74']", "output": [ "e" ] }, { "id": "task1423-6bbcb76966a34e1794ad9a10b7c7a25c", "input": "Problem: find the sum of divisors of 544 which are perfect squares . \nOptions: a ) 32 , b ) 64 , c ) 42 , d ) 21 , e ) none of these", "output": [ "d" ] }, { "id": "task1423-2456301eefd544b5b5ef650fea0560cf", "input": "Problem: question : a sporting good store sells one type of baseball bat and one type of baseball . the cost for 2 bats and 4 balls is $ 180 . the cost for 1 bat and 6 balls is $ 190 , as well . if someone were to buy an equal number of bats and balls , at most how many bats can he purchase if he has a budget of $ 195 for the purchase ? options : \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "c" ] }, { "id": "task1423-e8c1a2c3d4434d44bea03f60bf726c1c", "input": "Problem: a circle graph shows how the budget of a certain company was spent : 55 percent for salaries , 9 percent for research and development , 5 percent for utilities , 4 percent for equipment , 2 percent for supplies , and the remainder for transportation . if the area of each sector of the graph is proportional to the percent of the budget it represents , how many degrees of the circle are used to represent transportation ? \nOptions: a ) 18 ° , b ) 36 ° , c ) 54 ° , d ) 72 ° , e ) 90 °", "output": [ "e" ] }, { "id": "task1423-872317d5f3e64857a9cc386756c728dd", "input": "Problem: find the area of a parallelogram with base 24 cm and height 16 cm ? \nOptions: a ) 298 cm 2 , b ) 384 cm 2 , c ) 279 cm 2 , d ) 297 cm 2 , e ) 278 cm 2", "output": [ "b" ] }, { "id": "task1423-21236f582c694da8be05a4a2b2d492ce", "input": "Problem: susan made a block with small cubes of 8 cubic cm volume to make a block , 3 small cubes long , 9 small cubes wide and 5 small cubes deep . she realizes that she has used more small cubes than she really needed . she realized that she could have glued a fewer number of cubes together to lock like a block with same dimensions , if it were made hollow . what is the minimum number of cubes that she needs to make the block ? \nOptions: ['a ) 113', 'b ) 114', 'c ) 115', 'd ) 116', 'e ) 117']", "output": [ "b" ] }, { "id": "task1423-7eb1d878002947d596141ec7af403e1d", "input": "Problem: twenty eight meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? \nOptions: ['a ) 2 √ 2', 'b ) 2 √ 5', 'c ) 5', 'd ) 7', 'e ) none of these']", "output": [ "d" ] }, { "id": "task1423-30f43527df07420284eeb0588efdb78d", "input": "Problem: the dimensions of a room are 25 feet * 15 feet * 12 feet . what is the cost of white washing the four walls of the room at rs . 6 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ? \nOptions: a ) s . 4529 , b ) s . 4586 , c ) s . 4597 , d ) s . 4530 , e ) s . 5436", "output": [ "e" ] }, { "id": "task1423-8302e089fe014673bf8a5a91249d0d39", "input": "Problem: the diagonals of the two squares are in the ratio of 7 : 9 find the ratio of their area \nOptions: ['a ) 78 : 89', 'b ) 5 : 48', 'c ) 49 : 81', 'd ) 74 : 36', 'e ) 25 : 49']", "output": [ "c" ] }, { "id": "task1423-a4ce6754979b4badae3b0c69b6b81678", "input": "Problem: the diagonals of a rhombus are 12 cm and 20 cm . find its area ? \nOptions: a ) 329 , b ) 288 , c ) 120 , d ) 238 , e ) 31", "output": [ "c" ] }, { "id": "task1423-5324a35e1c3b446aa678f7748c4bb8ff", "input": "Problem: if each edge of cube increased by 10 % , the percentage increase in surface area is : \nOptions: ['a ) 33.1', 'b ) 33.5', 'c ) 33.7', 'd ) 33.2', 'e ) 33.9']", "output": [ "a" ] }, { "id": "task1423-76b4128ade604b5ba5ba2a1f82820c42", "input": "Problem: the edge of a cube is 2 a cm . find its surface ? \nOptions: a ) 23 a 2 cm 2 , b ) 84 a 2 cm 2 , c ) 64 a 2 cm 2 , d ) 24 a 2 cm 2 , e ) 14 a 2 cm 2", "output": [ "d" ] }, { "id": "task1423-085c03da2bd54df4a9f18328b26cce98", "input": "Problem: what is the maximum number of pieces that a circular pizza can be cut into with 5 linear cuts ? \nOptions: a ) 10 , b ) 14 , c ) 15 , d ) 16 , e ) 17", "output": [ "d" ] }, { "id": "task1423-99899556728440779c77354e00b91b22", "input": "Problem: a 25 cm wide path is to be made around a circular garden having a diameter of 4 meters . approximate area of the path is square meters is ? \nOptions: a ) 3.34 sq m , b ) 98.8 sq m , c ) 67.8 sq m , d ) 27.9 sq m , e ) 19.9 sq m", "output": [ "a" ] }, { "id": "task1423-11ffd18990a8401d9c99f18a522c5b77", "input": "Problem: line l passes through the points ( - 2,0 ) and ( 0 , a ) . line ll passes through the points ( 4,0 ) and ( 6,2 ) . what value of a makes the two lines parallel ? \nOptions: ['a ) 1', 'b ) 2', 'c ) 3', 'd ) 4', 'e ) 5']", "output": [ "b" ] }, { "id": "task1423-c62297866c5f4a8e8ad64b3f40afef27", "input": "Problem: if the perimeter of square region e and the perimeter of rectangular region r are equal and the sides of r are in the ratio 2 : 3 then the ratio of the area of r to the area of e \nOptions: ['a ) 25 : 16', 'b ) 24 : 25', 'c ) 5 : 6', 'd ) 4 : 5', 'e ) 4 : 9']", "output": [ "b" ] }, { "id": "task1423-ff05158a62b64bd682d0b893837ce8af", "input": "Problem: the perimeter of an equilateral triangle is 60 . if one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 70 , then how long is the base of isosceles triangle ? \nOptions: a ) 15 , b ) 20 , c ) 25 , d ) 30 , e ) 35", "output": [ "d" ] }, { "id": "task1423-0e7bdd258fc34d5fb4c91880f62579c0", "input": "Problem: a cubical block of metal weighs 3 pounds . how much will another cube of the same metal weigh if its sides are twice as long ? \nOptions: a ) 48 , b ) 32 , c ) 24 , d ) 18 , e ) 12", "output": [ "c" ] }, { "id": "task1423-b942ba0feefe4c2d98b832dbf11a531c", "input": "Problem: the breath of a rectangular landscape is 6 times its length . there is a playground in it whose area is 4200 square mtr & which is 1 / 7 th of the total landscape . what is the breath of the landscape ? \nOptions: a ) 520 , b ) 420 , c ) 320 , d ) 550 , e ) 450", "output": [ "b" ] }, { "id": "task1423-63cff7e4b15f46599371282b1f830a7d", "input": "Problem: the sum of the squares of two numbers is 3341 and the diference of their squares is 891 . the numbers are : \nOptions: a ) 35 and 46 , b ) 35 and 49 , c ) 35 and 42 , d ) 35 and 41 , e ) 35 and 48", "output": [ "a" ] }, { "id": "task1423-85a66b353b5948e1bb833cbb7acacf8d", "input": "Problem: what is the area of a square field whose diagonal of length 24 m ? \nOptions: a ) 240 sq m , b ) 250 sq m , c ) 200 sq m , d ) 400 sq m , e ) 800 sq m", "output": [ "a" ] }, { "id": "task1423-2c88177eb8184d5fb6189353a6f46796", "input": "Problem: the parameter of a square is equal to the perimeter of a rectangle of length 4 cm and breadth 2 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) ? \nOptions: a ) 4.51 , b ) 4.71 , c ) 4.32 , d ) 4.21 , e ) 4.68", "output": [ "b" ] }, { "id": "task1423-77ad786ff6874712ae5146082511828c", "input": "Problem: a gardener grows cabbages in her garden that is in the shape of a square . each cabbage takes 1 square feet of area in her garden . this year , she has increased her output by 197 cabbages as compared to last year . the shape of the area used for growing the cabbages has remained a square in both these years . how many cabbages did she produce this year ? \nOptions: a ) 9801 , b ) 10,000 , c ) 14,400 , d ) 12,696 , e ) can not be determined", "output": [ "a" ] }, { "id": "task1423-c02b966a7e6e4b659d18e281983f176f", "input": "Problem: right triangle abc is to be drawn in the xy - plane so that the right angle is at a and ab is parallel to the y - axis . if the x - and y - coordinates of a , b , and c are to be integers that are consistent with the inequalities - 5 ≤ x ≤ 2 and 4 ≤ y ≤ 9 , then how many different triangles can be drawn that will meet these conditions ? \nOptions: a ) 54 , b ) 1440 , c ) 2,160 , d ) 2,916 , e ) 148,824", "output": [ "b" ] }, { "id": "task1423-0a9bf15e90f646788c1d5a72fd1d91b7", "input": "Problem: the area of a rectangular field is equal to 50 square meters . its perimeter is equal to 30 meters . find the width of this rectangle . \nOptions: a ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) 25", "output": [ "a" ] }, { "id": "task1423-2226392501f54420a5fcf3bf8c6f5ef3", "input": "Problem: a diagonal of a polygon is an segment between two non - adjacent vertices of the polygon . how many diagonals does a regular 30 - sided polygon have ? \nOptions: a ) 875 , b ) 405 , c ) 1425 , d ) 2025 , e ) 2500", "output": [ "b" ] }, { "id": "task1423-014ad9d517184358ac52ff7128791dbb", "input": "Problem: the diagonals of a rhombus are 22 cm and 30 cm . find its area ? \nOptions: a ) 358 , b ) 329 , c ) 350 , d ) 330 , e ) 317", "output": [ "d" ] }, { "id": "task1423-24703add0f2c41cd8111a6c269a23f03", "input": "Problem: if the difference of two numbers is 3 and the difference of their square is 39 , then the larger number is : \nOptions: a ) 9 , b ) 2 , c ) 12 , d ) 14 , e ) 8", "output": [ "e" ] }, { "id": "task1423-dbaf76c4ec2247f29f5b1d48eaf2988f", "input": "Problem: all the faces of cubes are painted with red colour . it is then cut into 64 equal small cubes . find how many small cubes have no faces coloured ? \nOptions: a ) 24 , b ) 8 , c ) 16 , d ) 0 , e ) 4", "output": [ "b" ] }, { "id": "task1423-0224865c0bae473d9bc905cc237127fd", "input": "Problem: three rugs have a combined area of 212 square meters . by overlapping the rugs to cover floor area of 140 square meters , the area that is covered by exactly two layers of rug is 24 square meters . what is the area that is covered with three layers of rug ? \nOptions: a ) 18 square meters , b ) 20 square meters , c ) 24 square meters , d ) 28 square meters , e ) 30 square meters", "output": [ "c" ] }, { "id": "task1423-6a0e986395754f5e91b334a3e6ce64c9", "input": "Problem: while calculating the edge of a square , a worker makes an error of 2 % in excess . what % error does he make in calculating area ? ( % ) \nOptions: ['a ) 4.09', 'b ) 4.0', 'c ) 4.04', 'd ) 4.02', 'e ) 4.01']", "output": [ "c" ] }, { "id": "task1423-4025767945f64d758c6d3b1d36d5c679", "input": "Problem: 80 pie square inches of material of negligible thickness are required to construct a 1 / 16 scale model of a cylindrical barrel . if the diameter of the base of the barrel is 160 inches , then what is the volume of the barrel , to the nearest cubic foot ? \nOptions: ['a ) 2 pie', 'b ) 11 pie', 'c ) 178 pie', 'd ) 711 pie', 'e ) 1280 pie']", "output": [ "c" ] }, { "id": "task1423-3c741d1d2ed5442d9afd675f9ff59d34", "input": "Problem: what is the diagonal of a square field whose perimeter is 24 m ? \nOptions: ['a ) 8 m', 'b ) 2 m', 'c ) 7 m', 'd ) 10 m', 'e ) 6 √ 2 m']", "output": [ "e" ] }, { "id": "task1423-f2bb2731eae746acb80f4c8d5f16e2b4", "input": "Problem: a lady grows cabbage in her garden that is in the shape of a square . each cabbage takes 1 square foot of area in her garden . this year , she has increased her output by 211 cabbages when compared to last year . the shape of the area used for growing the cabbage has remained a square in both these years . how many cabbages did she produce this year ? \nOptions: ['a ) 11236', 'b ) 11025', 'c ) 14400', 'd ) 12696', 'e ) can not be determined']", "output": [ "a" ] }, { "id": "task1423-7058196ebf534ffea0904549e35c8908", "input": "Problem: a rectangular field has a length 10 meters more than it is width . if the area of the field is 119 , what is the length ( in meters ) of the rectangular field ? \nOptions: a ) 13 , b ) 15 , c ) 17 , d ) 19 , e ) 21", "output": [ "c" ] }, { "id": "task1423-0564ac17005246a1a55b4ce619dad39b", "input": "Problem: what will be the cost of building a fence around a square plot with area equal to 289 sq ft , if the price per foot of building the fence is rs . 59 ? \nOptions: a ) 3944 , b ) 920 , c ) 7290 , d ) 6928 , e ) 4012", "output": [ "e" ] }, { "id": "task1423-c855589cbeff46729c220210ec09a078", "input": "Problem: if a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius , then surface area of each ball ( in sq . cm ) is ? \nOptions: ['a ) 100 π', 'b ) 101 / π', 'c ) 99 π / 12', 'd ) 54 / 13 π', 'e ) 22 / 10 π']", "output": [ "a" ] }, { "id": "task1423-b245bb27814b417a88f34678f8d2bd01", "input": "Problem: find the curved surface area , if the radius of a cone is 21 m and slant height is 15 m ? \nOptions: ['a ) 660', 'b ) 770', 'c ) 880', 'd ) 900', 'e ) 990']", "output": [ "e" ] }, { "id": "task1423-ba762942142c45f6bedff838358a7468", "input": "Problem: a 12 meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ? \nOptions: a ) 1 / 6 , b ) 2 / 3 , c ) 3 / 10 , d ) 1 / 3 , e ) 2 / 5", "output": [ "b" ] }, { "id": "task1423-086ffe9c21cc4bda87b25a1b77f03ab3", "input": "Problem: if a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius , then surface area of each ball ( in cm 2 ) is ? \nOptions: ['a ) 100', 'b ) 272', 'c ) 287', 'd ) 189', 'e ) 289']", "output": [ "a" ] }, { "id": "task1423-63c3eda130b444f586931478204bf45f", "input": "Problem: a squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 4 feet . how many feet does the squirrel travels if the post is 16 feet tall and 2 feet in circumference ? \nOptions: a ) 10 feet , b ) 8 feet , c ) 13 feet , d ) 15 feet , e ) 18 feet", "output": [ "b" ] }, { "id": "task1423-136708f6a5874b1a8628d4995bacf490", "input": "Problem: a squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 4 feet . how many feet does the squirrel travels if the post is 16 feet tall and 3 feet in circumference ? \nOptions: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16", "output": [ "a" ] }, { "id": "task1423-1cace2b554114073890ef5748c2e7f5e", "input": "Problem: one side of a rectangular field is 15 m and one of its diagonals is 17 m . find the area of the field . \nOptions: a ) 120 , b ) 147 , c ) 251 , d ) 451 , e ) 258", "output": [ "a" ] }, { "id": "task1423-8b303a3f8ea54484b473a7346be01de0", "input": "Problem: points a , b , and , c have xy - coordinates ( 2,0 ) , ( 8,12 ) , and ( 14,0 ) , respectively . points x , y , and z have xy - coordinates ( 6,0 ) , ( 8,4 ) , and ( 10,0 ) , respectively . what fraction d of the area of triangle abc is the area of triangle xyz ? \nOptions: a ) 1 / 9 , b ) 1 / 8 , c ) 1 / 6 , d ) 1 / 5 , e ) 1 / 3", "output": [ "a" ] }, { "id": "task1423-369b8d1124a84ba9b3c744600c554087", "input": "Problem: a lady builds 10 cm length , 18 cm width , and 4 cm height box using 12 cubic cm cubes . what is the minimum number of cubes required to build the box ? \nOptions: a ) 107 , b ) 70 , c ) 78 , d ) 60 , e ) 111", "output": [ "d" ] }, { "id": "task1423-18b6c51a73a14393b3eeaf92a0979ff4", "input": "Problem: if y is the smallest positive integer such that 1,260 multiplied by y is the square of an integer , then y must be \nOptions: a ) 23 , b ) 51 , c ) 38 , d ) 35 , e ) 37", "output": [ "d" ] }, { "id": "task1423-dd4853d940fb484ea100e2d3d4e41ae4", "input": "Problem: 32 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? \nOptions: ['a ) 2 √ 2', 'b ) 2 √ 5', 'c ) 5', 'd ) 4 √ 2', 'e ) 8']", "output": [ "e" ] }, { "id": "task1423-bc75161c249d4d3a97d882258566aa24", "input": "Problem: what is the area of an equilateral triangle whose one side length is 40 ? \nOptions: a ) 100 √ 3 , b ) 200 √ 3 , c ) 300 √ 3 , d ) 350 √ 3 , e ) 400 √ 3", "output": [ "e" ] }, { "id": "task1423-240ed96316884d08bd50034f55f4a022", "input": "Problem: if paint costs $ 3.20 per quart , and a quart covers 120 square feet , how much will it cost to paint the outside of a cube 10 feet on each edge ? \nOptions: a ) $ 1.60 , b ) $ 16.00 , c ) $ 96.00 , d ) $ 108.00 , e ) $ 196.00", "output": [ "b" ] }, { "id": "task1423-c2ed4fbf6af647e290c354a0ea6ffd36", "input": "Problem: find the area of a parallelogram with base 32 cm and height 18 cm ? \nOptions: a ) 576 cm 2 , b ) 384 cm 2 , c ) 672 cm 2 , d ) 267 cm 2 , e ) 286 cm 2", "output": [ "a" ] }, { "id": "task1423-ef234440b28b4f228f491876bf64ea5d", "input": "Problem: a cheese factory sells its cheese in rectangular blocks . a normal block has a volume of three cubic feet . if a large block has twice the width , twice the depth , and three times the length of a normal block , what is the volume of cheese in a large block in cubic feet ? \nOptions: ['a ) 18', 'b ) 6', 'c ) 27', 'd ) 48', 'e ) 36']", "output": [ "e" ] }, { "id": "task1423-71f8ac3a76a54aceadbe814574ecaeaf", "input": "Problem: a rectangular photograph is surrounded by a border that is 1 inch wide on each side . the total area of the photograph and the border is m square inches . if the border had been 5 inches wide on each side , the total area would have been ( m + 144 ) square inches . what is the perimeter of the photograph , in inches ? \nOptions: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18", "output": [ "b" ] }, { "id": "task1423-050c438944584533bb4f0ca31726ed97", "input": "Problem: a square of side 8 cm has been made to a rectangle by combining it with a rectangle of dimensions of length 8 cm and breadth 4 cm . what is the perimeter of the newly formed rectangle ? \nOptions: ['a ) 10', 'b ) 20', 'c ) 40', 'd ) 60', 'e ) 80']", "output": [ "c" ] }, { "id": "task1423-0637bfb635834f16b3aedd4db05441b9", "input": "Problem: a trainer is standing in one corner of a square ground of side 25 m . his voice can be heard upto 140 m . find the area of the ground in which his voice can be heard ? \nOptions: ['a ) 12300', 'b ) 14500', 'c ) 15400', 'd ) 16700', 'e ) 18200']", "output": [ "c" ] }, { "id": "task1423-0c9047ab9ede4a299af9c2a2957bae6f", "input": "Problem: the diagonals of a rhombus are 30 cm and 20 cm . find its area ? \nOptions: a ) 176 , b ) 190 , c ) 150 , d ) 278 , e ) 300", "output": [ "e" ] }, { "id": "task1423-c5879ca371f84cd7aa42a8e4d442ac88", "input": "Problem: mr . loyd wants to fence his square shaped land of 120 sqft each side . if a pole is laid every 12 ft how many poles do he need ? \nOptions: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 60", "output": [ "c" ] }, { "id": "task1423-709bebc92585494dac3f105e6dbfd367", "input": "Problem: points a , b , and , c have xy - coordinates ( 2,0 ) , ( 8,12 ) , and ( 14,0 ) , respectively . points x , y , and z have xy - coordinates ( 6,0 ) , ( 8,4 ) , and ( 10,0 ) , respectively . what fraction s of the area of triangle abc is the area of triangle xyz ? \nOptions: a ) 1 / 9 , b ) 1 / 8 , c ) 1 / 6 , d ) 1 / 5 , e ) 1 / 3", "output": [ "a" ] }, { "id": "task1423-ba04ce208dd547d7b87ed69d5557148a", "input": "Problem: in right triangle abc , ac is the hypotenuse . if ac is 50 and ab + bc = 70 , what is the area of the triangle abc ? \nOptions: ['a ) 225', 'b ) 450', 'c ) 25 √ 2', 'd ) 200', 'e ) 600']", "output": [ "e" ] }, { "id": "task1423-aa9b0734e869446c801a44ea83c5b247", "input": "Problem: the front wheels of a wagon are 2 π feet in circumference and the rear wheels are 3 π feet in circumference . when the front wheels have made 10 more revolutions than the rear wheels , how many feet has the wagon travelled ? \nOptions: a ) 30 π , b ) 45 π , c ) 60 π , d ) 90 π , e ) none", "output": [ "c" ] }, { "id": "task1423-b253a7060b614ff9a98d0dd9c6a9ecbf", "input": "Problem: each of the 43 points is placed either inside or on the surface of a perfect sphere . if 16 % or fewer of the points touch the surface , what is the maximum number of segments which , if connected from those points to form chords , could be the diameter of the sphere ? \nOptions: a ) 3 , b ) 11 , c ) 13 , d ) 23 , e ) 38", "output": [ "a" ] }, { "id": "task1423-5362ab5cc86e4b2c92fb3b2e3d80303d", "input": "Problem: the dimensions of a room are 25 feet * 15 feet * 12 feet . what is the cost of white washing the four walls of the room at rs . 9 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ? \nOptions: a ) 4000 , b ) 345 , c ) 5673 , d ) 6530 , e ) 8154", "output": [ "e" ] }, { "id": "task1423-b48fb59c047842f3b325dab2fcafac9b", "input": "Problem: the ratio of males to females in a class is 2 : 3 . the career preferences of the students in the class are represented in a circle graph . if the area of the graph allocated to each career preference is proportional to the number of students who have that career preference , how many degrees of the circle should be used to represent a career that is preferred by one - half of the males and three - fourths of the females in the class ? \nOptions: a ) 218 , b ) 226 , c ) 234 , d ) 242 , e ) 250", "output": [ "c" ] }, { "id": "task1423-b8d5f0a91dc7411ab5fa5412a6bdd8e7", "input": "Problem: the average length of the sides of triangle abc is 12 . what is the perimeter of triangle abc ? \nOptions: ['a ) 4', 'b ) 6', 'c ) 12', 'd ) 24', 'e ) 36']", "output": [ "e" ] }, { "id": "task1423-742e3f54f7114e45a88c8fa5359c2e29", "input": "Problem: obra drove 180 π meters along a circular track . if the area enclosed by the circular track on which she drove is 57,600 π square meters , what percentage of the circular track did obra drive ? \nOptions: a ) 37.5 % , b ) 12.5 % , c ) 18.75 % , d ) 25 % , e ) 33.3 %", "output": [ "a" ] }, { "id": "task1423-1e96321cd0bc45e090812fe1bdd6d3e5", "input": "Problem: the parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) \nOptions: ['a ) 77.14 cm', 'b ) 47.14 cm', 'c ) 84.92 cm', 'd ) 94.94 cm', 'e ) 23.57 cm']", "output": [ "e" ] }, { "id": "task1423-aff6c5ea8c4b43e0aae0118425ced336", "input": "Problem: the length of a rectangle is halved while its width is also halved . what is the % change in area ? \nOptions: a ) 25 % , b ) 30 % , c ) 50 % , d ) 65 % , e ) 75 %", "output": [ "e" ] }, { "id": "task1423-7c8b1548bd68464da94db7e08c83064b", "input": "Problem: what is the ratio between perimeters of two squares one having 7 times the diagonal then the other ? \nOptions: a ) 3 : 7 , b ) 3 : 5 , c ) 3 : 8 , d ) 7 : 1 , e ) 3 : 5", "output": [ "d" ] }, { "id": "task1423-5f503378296644fdacca3e548a5859b7", "input": "Problem: a bag has 1 , 3 , 5 , 7 , 9,11 and 13 cm sticks . find the probability that they they will form a triangle if 3 sticks are drawn ? \nOptions: a ) 13 / 35 , b ) 14 / 35 , c ) 1 / 2 , d ) 5 / 6 , e ) 5 / 5", "output": [ "a" ] }, { "id": "task1423-f9414751cc7e4b3484b9484d1ac27dab", "input": "Problem: a rectangular tiled patio is composed of 160 square tiles . the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles . after the change in layout , the patio will still have 160 tiles , and it will still be rectangular . how many rows are in the tile patio before the change in layout ? \nOptions: a ) 5 , b ) 6 , c ) 10 , d ) 13 , e ) 28", "output": [ "c" ] }, { "id": "task1423-f7f064af70f4418ea2ec7d5aa9f50918", "input": "Problem: if the area of a circle is 81 pi square feet , find its circumference . \nOptions: a ) 15 , b ) 16 , c ) 17 , d ) 18 , e ) 19", "output": [ "d" ] }, { "id": "task1423-84b09077beaf40899728afc3bc3b8bef", "input": "Problem: the area of a square is 4096 sq cm . find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square . \nOptions: ['a ) 5 : 78', 'b ) 5 : 11', 'c ) 5 : 12', 'd ) 5 : 19', 'e ) 5 : 16']", "output": [ "e" ] }, { "id": "task1423-d19a9a6f9a784f19ba09cc12d18473e6", "input": "Problem: the length of rectangle is thrice its breadth and its perimeter is 48 m , find the area of the rectangle ? \nOptions: a ) 432 , b ) 108 , c ) 252 , d ) 992 , e ) 212", "output": [ "b" ] }, { "id": "task1423-6dc2009c50e2401ba063cb42592940c8", "input": "Problem: the radius and height of a right circular cone are in the ratio 3 : 4 . if its volume is 96 ∏ cm ³ , what is its slant height ? \nOptions: ['a ) 8 cm', 'b ) 10 cm', 'c ) 12 cm', 'd ) 14 cm', 'e ) none']", "output": [ "b" ] }, { "id": "task1423-031ac49fd46b40959dd1101b83300c1b", "input": "Problem: the radius of the base of cone is 3 cm and height is 4 cm . find the volume of the cone ? \nOptions: ['a ) 12', 'b ) 75', 'c ) 97', 'd ) 15', 'e ) 91']", "output": [ "a" ] }, { "id": "task1423-e56b06824fff4f59ab2b9e80ae028010", "input": "Problem: how many pieces can a square pizza be cut into by making 4 linear cuts ? \nOptions: ['a ) 10', 'b ) 11', 'c ) 12', 'd ) 13', 'e ) 14']", "output": [ "b" ] }, { "id": "task1423-5581c765ed9246baa18110f6a845445e", "input": "Problem: a square is drawn inside a right - angled triangle with the two perpendicular sides as 12 cm and 8 cm . what is the side of the largest possible square that can be drawn ? \nOptions: ['a ) 4.8 cm', 'b ) 4.4 cm', 'c ) 4.9 cm', 'd ) 5.0 cm', 'e ) 5.2 cm']", "output": [ "a" ] }, { "id": "task1423-b5fc008ef3ea42769f43193d4cd7d2b5", "input": "Problem: how much space , in cubic units , is left vacant when maximum number of 7 x 7 x 7 cubes are fitted in a rectangular box measuring 14 x 21 x 17 ? \nOptions: a ) 878 , b ) 879 , c ) 880 , d ) 881 , e ) 882", "output": [ "e" ] }, { "id": "task1423-8956551eef5a459490a2449e40920ec5", "input": "Problem: a sporting good store sells one type of baseball bat and one type of baseball . the cost for 2 bats and 4 balls is $ 220 . the cost for 1 bat and 6 balls is $ 190 , as well . if someone were to buy an equal number of bats and balls , at most how many bats can he purchase if he has a budget of $ 270 for the purchase ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "c" ] }, { "id": "task1423-9c34154f010a40f8940c96a94b92661a", "input": "Problem: the percentage increase in the area of a rectangle , if each of its sides is increased by 20 % is : \nOptions: a ) 44 % , b ) 46 % , c ) 48 % , d ) 50 % , e ) 51 %", "output": [ "a" ] }, { "id": "task1423-694bfeb0736549748caf8af006862b84", "input": "Problem: a cube of edge 8 cm is cut into cubes each of edge 1 cm . the ratio of the total surface area of one of the small cubes to that of the large cube is equal to : \nOptions: a ) 1 : 25 , b ) 1 : 22 , c ) 1 : 52 , d ) 1 : 64 , e ) none", "output": [ "d" ] }, { "id": "task1423-6f7e36624c0d45fba2c7f50b4b4fb492", "input": "Problem: the diagonal of the floor of a rectangular closet is 7 feet . the shorter side of the closet is 4 feet . what is the area of the closet in square feet ? \nOptions: ['a ) 20 sq . ft', 'b ) 27 sq . ft', 'c ) 37 sq . ft', 'd ) 47 sq . ft', 'e ) 57 sq . ft']", "output": [ "b" ] }, { "id": "task1423-9857eb7ac5e14927afe5b7356aeb0755", "input": "Problem: the length of a rectangular plot is 10 mtr more than its width . the cost of fencing the plot along its perimeter at the rate of rs . 6.5 mtr is rs . 910 . the perimeter of the plot is ? \nOptions: a ) 126 , b ) 156 , c ) 190 , d ) 140 , e ) 260", "output": [ "d" ] }, { "id": "task1423-32710820e27540a0be5ebb574f66f69f", "input": "Problem: in the rectangular coordinate system , points ( 8 , 0 ) and ( – 8 , 0 ) both lie on circle c . what is the maximum possible value of the radius of c ? \nOptions: ['a ) 2', 'b ) 4', 'c ) 8', 'd ) 16', 'e ) none of the above']", "output": [ "c" ] }, { "id": "task1423-9762041857f14534a48b87d0a3d5ad79", "input": "Problem: a cylinder with 6 meter radius and 12 meter height is filled to capacity with water . if the content of the cylinder is used to fill several smaller cylinders of 4 meter diameter and 8 meter height , how many smaller cylinders will be filled to capacity ? \nOptions: ['a ) 13', 'b ) 12', 'c ) 4', 'd ) 16', 'e ) 18']", "output": [ "a" ] }, { "id": "task1423-1e5ba46b485743158aa722b984b95554", "input": "Problem: what is the measure of the radius of the circle that circumscribes a triangle whose sides measure 9 , 40 and 41 ? \nOptions: a ) 6 , b ) 4 , c ) 24.5 , d ) 20.5 , e ) 12.5", "output": [ "d" ] }, { "id": "task1423-d811f9e56c984a22ad960ef8bc5c5f3b", "input": "Problem: 12 * 18 * 6 is the volume of some material . how many cubes of edge 3 can be insert into it ? \nOptions: ['a ) 48', 'b ) 49', 'c ) 50', 'd ) 51', 'e ) 52']", "output": [ "a" ] }, { "id": "task1423-c916b8a5bab74b58b769ae45f4243273", "input": "Problem: when the oil from a circular cylinder leaked , the formula for the speed of the leak is v = kh ^ 2 , where h was the height of the remaining oil and k was constant . if the height of the cylinder is 4 , the speed of the leak is v â € ™ , when the height of the oil remaining is 12 , what was the speed of the leak , in terms of v â € ™ ? \nOptions: ['a ) 9 v â € ™', 'b ) 4 v â € ™', 'c ) v â € ™ / 2', 'd ) v â € ™ / 4', 'e ) v â € ™']", "output": [ "a" ] }, { "id": "task1423-1ab668f93e5b40108d029299118f19f1", "input": "Problem: find the area of a parallelogram with base 21 cm and height 11 cm ? \nOptions: a ) 231 cm 2 , b ) 384 cm 2 , c ) 672 cm 2 , d ) 267 cm 2 , e ) 286 cm 2", "output": [ "a" ] }, { "id": "task1423-5d82524f6133434598784c54b0783b03", "input": "Problem: the perimeter of a triangle is 42 cm and the inradius of the triangle is 5.0 cm . what is the area of the triangle ? \nOptions: a ) 128 cm 2 , b ) 36.0 cm 2 , c ) 105 cm 2 , d ) 25 cm 2 , e ) 135 cm 2", "output": [ "c" ] }, { "id": "task1423-f0029ea157c743f2ad03e46f4327bb31", "input": "Problem: calculate the effect changes in dimension of a rectangle will have on its area , if length is increased by 15 % and its breadth is decreased by 10 % ? \nOptions: a ) 3.5 percent increase , b ) 9.5 percent increase , c ) 1.5 percent increase , d ) 3.9 percent increase , e ) 3.5 percent increase", "output": [ "e" ] }, { "id": "task1423-1671419c1f7546969ac2c87e9fb22e8b", "input": "Problem: 108 . triangle a ’ s base is 8 % greater than the base of triangle b , and a ’ s height is 8 % less than the height of triangle b . the area of triangle a is what percent less or more than the area of triangle b ? \nOptions: a ) 9 % less , b ) 1 % less , c ) equal to each other , d ) 1.6 % more , e ) 9 % more", "output": [ "d" ] }, { "id": "task1423-51d1245454a7478aac12ba34284b8567", "input": "Problem: what is the angle between the 2 hands of the clock at 8 : 24 pm ? \nOptions: a ) 100 ° , b ) 107 ° , c ) 106 ° , d ) 108 ° , e ) none of these", "output": [ "d" ] }, { "id": "task1423-23c6523adf754501aa5bc165d72b6657", "input": "Problem: a 10 meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ? \nOptions: ['a ) 1 / 6', 'b ) 1 / 5', 'c ) 3 / 10', 'd ) 1 / 3', 'e ) 4 / 10']", "output": [ "e" ] }, { "id": "task1423-87810ad85307433e9893d988268076f6", "input": "Problem: a certain rectangular crate measures 12 feet by 16 feet by 18 feet . a cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces . what should the radius of the tank be if it is to be of the largest possible volume ? \nOptions: ['a ) 4', 'b ) 5', 'c ) 6', 'd ) 8', 'e ) 10']", "output": [ "d" ] }, { "id": "task1423-cf2f75a9e6914cc8b91a97b5fa881a7d", "input": "Problem: if a square mirror has a 20 - inch diagonal , what is the approximate perimeter e of the mirror , in inches ? \nOptions: ['a ) 40', 'b ) 60', 'c ) 80', 'd ) 100', 'e ) 120']", "output": [ "b" ] }, { "id": "task1423-3c464b7d239c4026bf6cc8ff60b4a42a", "input": "Problem: what is the area of square field whose side of length 16 m ? \nOptions: a ) 225 , b ) 777 , c ) 256 , d ) 288 , e ) 261", "output": [ "c" ] }, { "id": "task1423-76f95b95193644519771d9ba3fb8a6be", "input": "Problem: a rectangular field is to be fenced on three sides leaving a side of 80 feet uncovered . if the area of the field is 680 sq . ft , how many feet of fencing will be required ? \nOptions: a ) 44 ft , b ) 97 ft , c ) 22 ft , d ) 11 ft , e ) 66 ft", "output": [ "b" ] }, { "id": "task1423-76f9eb25127545ad8449adcc6727128e", "input": "Problem: a photograph is copied onto a sheet of paper 8.5 inches by 10 inches . a 1.5 inch margin is left all around . what area in square inches does the picture cover ? \nOptions: ['a ) 76', 'b ) 65', 'c ) 59.5', 'd ) 49', 'e ) 38.5']", "output": [ "e" ] }, { "id": "task1423-10121a2fd2ee4379a3760a2157147507", "input": "Problem: a square and an equilateral triangle have the same perimeter . what is the ratio of the area of the circle circumscribing the square to the area of the circle inscribed in the triangle ? \nOptions: ['a ) 9 : 8', 'b ) 15 : 8', 'c ) 27 : 8', 'd ) 8 : 9', 'e ) 8 : 15']", "output": [ "c" ] }, { "id": "task1423-e6b91e0c8b284c718d1227b98df1c024", "input": "Problem: what will be the cost of building a fence around a square plot with area equal to 289 sq ft , if the price per foot of building the fence is rs . 56 ? \nOptions: a ) s . 3944 , b ) s . 3948 , c ) s . 3942 , d ) s . 3808 , e ) s . 3929", "output": [ "d" ] }, { "id": "task1423-4be8df9da1bf4402a96aab6b4b578b34", "input": "Problem: if n is the smallest integer such that 432 times n is the square of an integer , what is the value of n ? \nOptions: ['a ) 2', 'b ) 3', 'c ) 6', 'd ) 12', 'e ) 24']", "output": [ "b" ] }, { "id": "task1423-4b94cd7f344242a1b2ad7cc317921d22", "input": "Problem: the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 14 cm each . the radius of the sphere is \nOptions: a ) 3 cm , b ) 4 cm , c ) 6 cm , d ) 7 cm , e ) none", "output": [ "d" ] }, { "id": "task1423-373ca81e93234fa5868f7f52452f7df9", "input": "Problem: the surface area of a sphere is 4 π r 2 , where r is the radius of the sphere . if the area of the base of a hemisphere is 3 , what is the surface area r of that hemisphere ? \nOptions: a ) 6 / π , b ) 9 / π , c ) 6 , d ) 9 , e ) 12", "output": [ "d" ] }, { "id": "task1423-a2970e7fd53c4ee8bc9feaa98992a6aa", "input": "Problem: how many cones of radius 4 m , height 2 m can be formed from a cylinder of 12 m radius , 10 m height : \nOptions: ['a ) 135', 'b ) 125', 'c ) 145', 'd ) 115', 'e ) 155']", "output": [ "a" ] }, { "id": "task1423-dfba8e93ac5846c6842413a72d0b3376", "input": "Problem: the area of a triangle will be when a = 1 m , b = 1 m , c = 2 m , a , b , c being lengths of respective sides ? \nOptions: a ) 2 , b ) 7 , c ) 5 , d ) 3 , e ) 4", "output": [ "a" ] }, { "id": "task1423-318a5a1c7c584d78904c22baabcc7464", "input": "Problem: the circus sells two kinds of tickets : lower seats for $ 30 and upper seats for $ 20 . on a certain night , the circus sells 80 tickets and gets $ 2100 in revenue from the sales . how many tickets for lower seats did they sell ? \nOptions: ['a ) 40', 'b ) 45', 'c ) 50', 'd ) 55', 'e ) 60']", "output": [ "c" ] }, { "id": "task1423-904302c5becb4557803313ad96234e51", "input": "Problem: the largest two digit number which is a perfect cube , is : \nOptions: a ) 25 , b ) 36 , c ) 49 , d ) 64 , e ) 81", "output": [ "d" ] }, { "id": "task1423-94eb53ffb67a4a88bad0e9d4469a63de", "input": "Problem: the roof of an apartment building is rectangular and its length is 3 times longer than its width . if the area of the roof is 768 feet squared , what is the difference between the length and the width of the roof ? \nOptions: a ) 32 . , b ) 40 . , c ) 42 . , d ) 44 . , e ) 46 .", "output": [ "a" ] }, { "id": "task1423-ede57c9911a44cd19fb82750436398e5", "input": "Problem: the area of a square garden is a square feet and the perimeter is p feet . if a = 2 p + 15 , what is the perimeter of the garden , in feet ? \nOptions: a ) 28 , b ) 36 , c ) 40 , d ) 56 , e ) 64", "output": [ "c" ] }, { "id": "task1423-b09b9a710dad4ea5a08914a1511a9f2c", "input": "Problem: the sides of a cube measures 6.5 cm . if the surface area of the cube is the same as a ball , what is the radius of the ball ? round to the nearest whole number . \nOptions: ['a ) 9', 'b ) 7', 'c ) 4', 'd ) 8', 'e ) 6']", "output": [ "c" ] }, { "id": "task1423-7f3c31b51f6a4c9bbcc7c8f2fba16de3", "input": "Problem: when magnified 1,000 times by an electron microscope , the image of a certain circular piece of tissue has a diameter of 5 centimeter . the actual diameter of the tissue , in centimeters , is \nOptions: a ) 0.005 , b ) 0.002 , c ) 0.001 , d ) 0.0005 , e ) 0.0002", "output": [ "a" ] }, { "id": "task1423-d6e5b1eb5df64f74bc4d9ff1084129af", "input": "Problem: if the side length of square b is five times that of square a , the area of square b is how many times the area of square a ? \nOptions: a ) 5 , b ) 15 , c ) 25 , d ) 35 , e ) 45", "output": [ "c" ] }, { "id": "task1423-b52bd21744344ec0a8e4dcac4725b4bb", "input": "Problem: the slant height of a cone is 12 cm and radius of the base is 4 cm , find the curved surface of the cone . \nOptions: a ) 33 , b ) 88 , c ) 48 , d ) 77 , e ) 27", "output": [ "c" ] }, { "id": "task1423-fdab4f4df3c74aa1a7375a6a080a37fc", "input": "Problem: in a certain parallelogram the degree measure of one angle exceeds that of the other by 20 what is the degree measure of the smaller angle ? \nOptions: a ) 75 , b ) 80 , c ) 85 , d ) 90 , e ) 95", "output": [ "b" ] }, { "id": "task1423-88a0f197806943d8993586571aa69e9f", "input": "Problem: find the surface area of a 8 cm x 4 cm x 2 cm brick . \nOptions: a ) 136 cu cm , b ) 112 cu cm , c ) 164 cu cm , d ) 180 cu cm , e ) none", "output": [ "b" ] }, { "id": "task1423-1363c5f86b054c7bbabd95e4e3bb940c", "input": "Problem: find the smallest number that must be added to 1780 to make it a perfect square . \nOptions: a ) 17 , b ) 42 , c ) 69 , d ) 47 , e ) 52", "output": [ "c" ] }, { "id": "task1423-72cb6c4da37048a09002b75c0307ca0e", "input": "Problem: 16 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? \nOptions: a ) 2 √ 2 , b ) 4 , c ) 5 , d ) 4 √ 2 , e ) none of these", "output": [ "b" ] }, { "id": "task1423-785f5c70e02a414c90ec875a0440766c", "input": "Problem: a tailor trims 6 feet from opposite edges of a square piece of cloth , and 5 feet from the other two edges . if 120 square feet of cloth remain , what was the length of a side of the original piece of cloth ? \nOptions: a ) 20 , b ) 22 , c ) 24 , d ) 26 , e ) 28", "output": [ "b" ] }, { "id": "task1423-76ac6bc7fd7e4d28919133aafe6c63e3", "input": "Problem: how much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 11 inches than that of a rectangular sheet of paper measuring 5.5 inches by 11 inches ? \nOptions: a ) 50 % , b ) 87 % , c ) 100 % , d ) 187 % , e ) 200 %", "output": [ "c" ] }, { "id": "task1423-f6834b9496be4c34bf266d03d0dda4a2", "input": "Problem: how many 2 - inch by 3 - inch rectangular tiles are required to tile this shaded region ? \nOptions: ['a ) less than 10', 'b ) 10 — 100', 'c ) 101 — 1,000', 'd ) 1,001 — 1,500', 'e ) 1,500 +']", "output": [ "e" ] }, { "id": "task1423-478f2ec7fbe04fe996293856d083a91a", "input": "Problem: the dimensions of a rectangular solid are 4 inches , 6 inches , and 8 inches . if a cube , a side of which is equal to one of the dimensions of the rectangular solid , is placed entirely within thespherejust large enough to hold the cube , what the ratio of the volume of the cube to the volume within thespherethat is not occupied by the cube ? \nOptions: a ) 10 : 17 , b ) 2 : 5 , c ) 5 : 16 , d ) 25 : 7 , e ) 2 : 3", "output": [ "e" ] }, { "id": "task1423-3d4be367440a4f868e90aa75e88f9c2b", "input": "Problem: right triangle pqr is the base of the prism in the figure above . if pq = pr = â ˆ š 5 and the height of the prism is 10 , what is the volume of the prism ? \nOptions: ['a ) 5', 'b ) 10', 'c ) 15', 'd ) 20', 'e ) 25']", "output": [ "e" ] }, { "id": "task1423-35c1295182174055b7befbe3498946d6", "input": "Problem: find the area of the quadrilateral of one of its diagonals is 50 cm and its off sets 10 cm and 8 cm ? \nOptions: a ) 189 cm 2 , b ) 150 cm 2 , c ) 127 cm 2 , d ) 450 cm 2 , e ) 187 cm 2", "output": [ "d" ] }, { "id": "task1423-e096be501c8340debe553121027f4e69", "input": "Problem: the circumferences of two circles are 264 meters and 352 meters . find the difference between the areas of the larger and the smaller circles ? \nOptions: ['a ) 2898 sq m', 'b ) 1788 sq m', 'c ) 4312 sq m', 'd ) 7656 sq m', 'e ) 1786 sq m']", "output": [ "c" ] }, { "id": "task1423-4650d003140d4652881c2494c0efff2d", "input": "Problem: the area of a rectangular field is equal to 300 square meters . its perimeter is equal to 70 meters . find the length of this rectangle . \nOptions: a ) 40 , b ) 70 , c ) 20 , d ) 80 , e ) 60", "output": [ "c" ] }, { "id": "task1423-ca12a5ac7f314dadbb9db2afe25df6c9", "input": "Problem: what is the ratio between perimeters of two squares one having 2.5 times the diagonal then the other ? \nOptions: a ) 4 : 5 , b ) 1 : 3 , c ) 2.5 : 1 , d ) 3.5 : 1 , e ) 3 : 2", "output": [ "c" ] }, { "id": "task1423-05cece3a16564ff7995fc6778289ff00", "input": "Problem: a rectangular lawn of length 200 m by 120 m has two roads running along its center , one along the length and the other along the width . if the width of the roads is 5 m what is the area q covered by the two roads ? \nOptions: a ) 400 , b ) 1550 , c ) 1575 , d ) 1600 , e ) 1625", "output": [ "c" ] }, { "id": "task1423-3f0381885bc74695a3d6927fc5ce8281", "input": "Problem: points a , b , and , c have xy - coordinates ( 2,0 ) , ( 8,12 ) , and ( 14,0 ) , respectively . points x , y , and z have xy - coordinates ( 6,0 ) , ( 8,4 ) , and ( 10,0 ) , respectively . what fraction q of the area of triangle abc is the area of triangle xyz ? \nOptions: a ) 1 / 9 , b ) 1 / 8 , c ) 1 / 6 , d ) 1 / 5 , e ) 1 / 3", "output": [ "a" ] }, { "id": "task1423-8cf8315d67c1466dbecd0be117f07a5e", "input": "Problem: the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 294 square centimeters , what is the length of the rectangle in centimeters ? \nOptions: a ) 19 , b ) 20 , c ) 21 , d ) 22 , e ) 23", "output": [ "c" ] }, { "id": "task1423-603fec69ca194e67b2351fb9c86e3969", "input": "Problem: the side of a rhombus is 26 m and length of one of its diagonals is 20 m . the area of the rhombus is ? \nOptions: ['a ) 488', 'b ) 429', 'c ) 418', 'd ) 480', 'e ) 410']", "output": [ "d" ] }, { "id": "task1423-ce36a17f90fb45f89410a1103230b858", "input": "Problem: the circumferences of two circles are 396 meters and 704 meters . find the difference between the areas of the larger and the smaller circles ? \nOptions: a ) 29960 sq m , b ) 26950 sq m , c ) 43120 sq m , d ) 27680 sq m , e ) 27786 sq m", "output": [ "b" ] }, { "id": "task1423-9ad01625cd384c28bdc0fa418481c27b", "input": "Problem: if the radius of a circle is diminished by 10 % , then the area is diminished by : \nOptions: a ) 200 % , b ) 210 % , c ) 300 % , d ) 310 % , e ) none of these", "output": [ "c" ] }, { "id": "task1423-fe7abbda622e40f48e89228b52b3390b", "input": "Problem: a 9 meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ? \nOptions: a ) 1 / 6 , b ) 1 / 5 , c ) 2 / 9 , d ) 1 / 3 , e ) 2 / 5", "output": [ "c" ] }, { "id": "task1423-57ff6f450fc246218fbd93406f9d3e48", "input": "Problem: the ratio of the radius of two circles is 2 : 3 , and then the ratio of their areas is ? \nOptions: ['a ) 1 : 7', 'b ) 2 : 9', 'c ) 4 : 9', 'd ) 3 : 7', 'e ) 3 : 4']", "output": [ "c" ] }, { "id": "task1423-abee804fd1cb477087422f11e8c5cfe4", "input": "Problem: a lawn is in the form of a rectangle having its sides in the ratio 2 : 3 . the area of the lawn is ( 1 / 6 ) hectares . find the length and breadth of the lawn . \nOptions: ['a ) 50', 'b ) 30', 'c ) 20', 'd ) 40', 'e ) 10']", "output": [ "a" ] }, { "id": "task1423-932516238915437ea81fdc369b254bce", "input": "Problem: abcd is a square . e , f , g , h is the midpoint of the sides of square . j and k is the midpoint of the sides hg and fg . l is a point on sides ef such that lf = 1 / 3 ef . find the ratio of area of triangle jkl to the area of square abcd . \nOptions: ['a ) 5 : 46', 'b ) 5 : 44', 'c ) 4 : 48', 'd ) 5 : 48', 'e ) 5 : 4']", "output": [ "d" ] }, { "id": "task1423-95c2d475cb9f4c218487eec8e65d170c", "input": "Problem: find the sum of divisors of 544 which are perfect squares \nOptions: ['a ) 21', 'b ) 22', 'c ) 23', 'd ) 24', 'e ) 25']", "output": [ "a" ] }, { "id": "task1423-c080a749e6204584b5e60cc7e4a06cfe", "input": "Problem: a circle graph shows how the budget of a certain company was spent : 20 percent for transportation , 9 percent for research and development , 5 percent for utilities , 4 percent for equipment , 2 percent for supplies , and the remainder for salaries . if the area of each sector of the graph is proportional to the percent of the budget it represents , how many degrees of the circle are used to represent salaries ? \nOptions: ['a ) 90 °', 'b ) 135 °', 'c ) 216 °', 'd ) 240 °', 'e ) 270 °']", "output": [ "c" ] }, { "id": "task1423-29d896d03dc245cb9c403cf63e846110", "input": "Problem: find the perimeter and area of a square of side 11 cm . \nOptions: a ) 11 cm ² , b ) 21 cm ² , c ) 22 cm ² , d ) 113 cm ² , e ) 121 cm ²", "output": [ "e" ] }, { "id": "task1423-8f6c10418ae94452853ece5c5352cccd", "input": "Problem: rectangular tile each of size 80 cm by 40 cm must be laid horizontally on a rectangular floor of size 130 cm by 230 cm , such that the tiles do not overlap and they are placed with edges jutting against each other on all edges . a tile can be placed in any orientation so long as its edges are parallel to the edges of floor . no tile should overshoot any edge of the floor . the maximum number of tiles that can be accommodated on the floor is : \nOptions: a ) 6 , b ) 2 , c ) 8 , d ) 9 , e ) 7", "output": [ "d" ] }, { "id": "task1423-b0b8123485b34147ad83fead06da3c8f", "input": "Problem: if y is the smallest positive integer such that 3,150 multiplied by y is the square of an integer , then y must be \nOptions: a ) 2 , b ) 5 , c ) 6 , d ) 7 , e ) 14", "output": [ "e" ] }, { "id": "task1423-9a2cf7a8ada5466f8b8e7d3a83bf90c4", "input": "Problem: the length and breadth of a rectangle is increased by 10 % and 30 % respectively . what is the increase in the area ? \nOptions: a ) 43.0 , b ) 44.0 , c ) 43.5 , d ) 45.0 , e ) 42.0", "output": [ "a" ] }, { "id": "task1423-ebea69a5cc0644b69f8472d2a016faad", "input": "Problem: if the sum of a number and its square is 306 , what is the number ? \nOptions: a ) 16 , b ) 77 , c ) 25 , d ) 17 , e ) 171", "output": [ "d" ] }, { "id": "task1423-e34a8a81efbc4733ba4c373e3d340969", "input": "Problem: the length of a rectangle is three times of its width . if the length of the diagonal is 8 √ 10 then find the perimeter of the rectangle . \nOptions: ['a ) 77 cm', 'b ) 88 cm', 'c ) 64 cm', 'd ) 11 cm', 'e ) 18 cm']", "output": [ "c" ] }, { "id": "task1423-07781f15c3e949d28a4fb0fc1b9b9abe", "input": "Problem: the total surface area of a solid hemisphere of diameter 14 cm , is : \nOptions: ['a ) 462 cm ²', 'b ) 530 cm ²', 'c ) 1345 cm ²', 'd ) 1788 cm ²', 'e ) none']", "output": [ "a" ] }, { "id": "task1423-8709367e1b3d44318d26f9779189215d", "input": "Problem: if the difference between the length and breadth of a rectangle is 23 m and its perimeter is 206 m , what is its area ? \nOptions: ['a ) 2520', 'b ) 2510', 'c ) 2525', 'd ) 2025', 'e ) 2020']", "output": [ "a" ] }, { "id": "task1423-e5ddcab3330b497ab0b45f73107af207", "input": "Problem: 34 . the side surface of a cylinder is rolled with a rectangular plate . if the perimeter of the circular base is 9 feet , and the diagonal of the rectangular plate was 15 ft . what is height of the of the cylinder ? \nOptions: ['a ) 12', 'b ) 15', 'c ) 10', 'd ) 8', 'e ) 14']", "output": [ "a" ] }, { "id": "task1423-d7ebcccbb4374cdea1fa3f66846873e2", "input": "Problem: the bases of a hemisphere and a cone are equal . if their heights are also equal then ratio between their curved surface area is — \nOptions: ['a ) 1 : √ 2', 'b ) √ 2 ∶ 1', 'c ) 1 : 2', 'd ) 2 : 1', 'e ) none of these']", "output": [ "b" ] }, { "id": "task1423-b13ef182fbb84222a8effbce38bb6486", "input": "Problem: the areas of the two spheres are in the ratio 1 : 4 . the ratio of their volume is ? \nOptions: ['a ) 1 : 4', 'b ) 1 : 16', 'c ) 1 : 8', 'd ) 1 : 64', 'e ) 2 : 3']", "output": [ "c" ] }, { "id": "task1423-96b29d7ee7694b46be639f5d7d414963", "input": "Problem: the roof of an apartment building is rectangular and its length is 4 times longer than its width . if the area of the roof is 1024 feet squared , what is the difference between the length and the width of the roof ? \nOptions: a ) 38 . , b ) 40 . , c ) 42 . , d ) 48 . , e ) 46 .", "output": [ "d" ] }, { "id": "task1423-bb7f1c1293a541e389ccc6f5c68cafe6", "input": "Problem: what will be the percentage increase in the area of the cube ' s surface if each of the cube ' s edges grows by 50 % ? \nOptions: a ) 125 % , b ) 150 % , c ) 100 % , d ) 90 % , e ) 85 %", "output": [ "a" ] }, { "id": "task1423-6a67c22d796e44c5838c1e00720c50e7", "input": "Problem: a specialized type of sand consists of 40 % mineral x by volume and 60 % mineral y by volume . if mineral x weighs 2.5 grams per cubic centimeter and mineral y weighs 4 grams per cubic centimeter , how many grams does a cubic meter of specialized sand combination weigh ? ( 1 meter = 100 centimeters ) \nOptions: a ) 3 , 400,000 , b ) 2 , 800,000 , c ) 55,000 , d ) 28,000 , e ) 280", "output": [ "a" ] }, { "id": "task1423-3e01aaf5278b4382ad5791831f38235b", "input": "Problem: what is the smallest positive integer x , such that 1944 x is a perfect cube ? \nOptions: a ) 4 , b ) 3 , c ) 8 , d ) 12 , e ) 18", "output": [ "b" ] }, { "id": "task1423-1d60a97bc7814cebafee7fa8b74c4447", "input": "Problem: the volume of a cube is 729 cc . find its surface . \nOptions: a ) 486 , b ) 556 , c ) 255 , d ) 287 , e ) 267", "output": [ "a" ] }, { "id": "task1423-08c25292acfe4dfbaf292c7362c0c3b0", "input": "Problem: the hypotenuse of a right triangle is 2 centimeters more than the longer side of the triangle . the shorter side of the triangle is 7 centimeters less than the longer side . find the length of the hypotenuse . \nOptions: a ) 17 , b ) 18 , c ) 19 , d ) 20 , e ) 21", "output": [ "a" ] }, { "id": "task1423-a116d0a7aa9346f39841c7d533f0845d", "input": "Problem: v is the volume of a cylinder ; the radius r is 3.4 . the height is 350 % more than the radius . which of the following is true ? \nOptions: ['a ) 100 < v < 300', 'b ) 300 < v < 500', 'c ) 500 < v < 700', 'd ) 700 < v < 900', 'e ) 900 < v < 1100']", "output": [ "c" ] }, { "id": "task1423-58b28f31169c40008e52a65253a30271", "input": "Problem: sides of a triangle are 13 cm . 14 cm . and 15 cm . respectively . calculate the area of triangle . \nOptions: ['a ) 80', 'b ) 82', 'c ) 84', 'd ) 86', 'e ) 88']", "output": [ "c" ] }, { "id": "task1423-1d8231775f55498fb3cbf1f6b8756e86", "input": "Problem: the area of a square is 4761 sq cm . find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square . \nOptions: a ) 5 : 28 , b ) 5 : 19 , c ) 15 : 12 , d ) 5 : 13 , e ) 15 : 46", "output": [ "e" ] }, { "id": "task1423-3fac1b954bc54630a338ebae33be3392", "input": "Problem: hall is 15 m long and 12 m broad . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , the volume of the hall is : \nOptions: ['a ) 720', 'b ) 900', 'c ) 1200', 'd ) 1800', 'e ) 2100']", "output": [ "c" ] }, { "id": "task1423-bb3510b448664f53bb70d87eb7b67745", "input": "Problem: the area of a square land is a square feet and the perimeter is p feet . if 5 a = 10 p + 45 , what is the perimeter of the land , in feet ? \nOptions: ['a ) 18', 'b ) 56', 'c ) 40', 'd ) 36', 'e ) 64']", "output": [ "d" ] }, { "id": "task1423-cbbc4f6a66a54923911aa4aef4eef040", "input": "Problem: a volume of 11248 l water is in a container of sphere . how many hemisphere of volume 4 l each will be required to transfer all the water into the small hemispheres ? \nOptions: a ) 2812 , b ) 8231 , c ) 2734 , d ) 4222 , e ) 4254", "output": [ "a" ] }, { "id": "task1423-f1202b53d9584e658f08db97de9de580", "input": "Problem: if the volume of two cubes are in the ratio 8 : 1 , the ratio of their edges is : \nOptions: ['a ) 2 : 1', 'b ) 3 : 2', 'c ) 3 : 5', 'd ) 3 : 7', 'e ) none of these']", "output": [ "a" ] }, { "id": "task1423-68b23722dea044129b0d1ccd20b01b95", "input": "Problem: the area of sector of a circle whose radius is 12 metro and whose angle at the center is 54 â ° is ? \nOptions: a ) 52.6 , b ) 52.9 , c ) 67.9 , d ) 52.1 , e ) 52.2", "output": [ "c" ] }, { "id": "task1423-5e4af5ddd82d4facbf5ddf9aaa1413f3", "input": "Problem: the measurement of a rectangular box with lid is 25 cmx 24 cmx 18 cm . find the volume of the largest sphere that can be inscribed in the box ( in terms of π cm 3 ) . ( hint : the lowest measure of rectangular box represents the diameter of the largest sphere ) \nOptions: a ) 288 , b ) 2302 , c ) 2304 , d ) 8640 , e ) 964", "output": [ "c" ] }, { "id": "task1423-706e9afcdd55401090e161000c2901f9", "input": "Problem: find the smallest number which should be multiplied with 560 to make it a perfect square . \nOptions: a ) 60 , b ) 55 , c ) 45 , d ) 25 , e ) 35", "output": [ "e" ] }, { "id": "task1423-51880548cefd448a8e0031a282db15f2", "input": "Problem: a rectangular wall is covered entirely with two kinds of decorative tiles : regular and jumbo . 1 / 3 of the tiles are jumbo tiles , which have a length three times that of regular tiles and have the same ratio of length to width as the regular tiles . if regular tiles cover 90 square feet of the wall , and no tiles overlap , what is the area of the entire wall ? \nOptions: a ) 160 , b ) 240 , c ) 360 , d ) 495 , e ) 560", "output": [ "d" ] }, { "id": "task1423-3ba62d7686f94f22b4d4bc4620146674", "input": "Problem: one side of a rectangle is 3 cm shorter than the other side . if we increase the length of each side by 1 cm , then the area of the rectangle will increase by 24 cm 2 . find the lengths of all sides . \nOptions: ['a ) 10 and 3', 'b ) 7 and 10', 'c ) 10 and 7', 'd ) 3 and 10', 'e ) 13 and 10']", "output": [ "e" ] }, { "id": "task1423-f40c3615e22c445e8e660011b333eb4a", "input": "Problem: a rectangular parking space is marked out by painting three of its sides . if the length of the unpainted side is 9 feet , and the sum of the lengths of the painted sides is 37 feet , then what is the area of the parking space in square feet ? \nOptions: ['a ) 46', 'b ) 81', 'c ) 126', 'd ) 252', 'e ) none of these']", "output": [ "c" ] }, { "id": "task1423-2758d9c101b64d0fb23a576e169e68ba", "input": "Problem: the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 1323 sq m , then what is the breadth of the rectangular plot ? \nOptions: a ) 11 , b ) 17 , c ) 18 , d ) 21 , e ) 1322", "output": [ "d" ] }, { "id": "task1423-b691b6ac86784209a32b6d485c4fcfb3", "input": "Problem: a cheese factory sells its cheese in rectangular blocks . a normal block has a volume of 5 cubic feet . if a large block has three times the width , twice the depth , and half the length of a normal block , what is the volume of cheese in a large block in cubic feet ? \nOptions: a ) 10 , b ) 30 , c ) 15 , d ) 20 , e ) 25", "output": [ "c" ] }, { "id": "task1423-9765fdb8991d466c97c38f699867bd40", "input": "Problem: carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 5 inches by 24 inches and jordan ' s rectangle is 4 inches long , how wide is jordan ' s rectangle , in inches ? \nOptions: a ) 25 , b ) 23 , c ) 32 , d ) 30 , e ) 18", "output": [ "d" ] }, { "id": "task1423-9c263450023e432284bb7fbbf58537e3", "input": "Problem: frank the fencemaker needs to fence in a rectangular yard . he fences in the entire yard , except for one full side of the yard , which equals 40 feet . the yard has an area of 500 square feet . how many feet offence does frank use ? \nOptions: a ) 14 , b ) 47 , c ) 70 , d ) 180 , e ) 240", "output": [ "c" ] }, { "id": "task1423-0bcf24a2c701414497d9c57b5c3a4714", "input": "Problem: 36 people { a 1 , a 2 … a 36 } meet and shake hands in a circular fashion . in other words , there are totally 36 handshakes involving the pairs , { a 1 , a 2 } , { a 2 , a 3 } , … , { a 35 , a 36 } , { a 36 , a 1 } . then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is \nOptions: ['a ) 76', 'b ) 55', 'c ) 44', 'd ) 12', 'e ) 91']", "output": [ "d" ] }, { "id": "task1423-2d6a25bc14164b04997fc967fd85d376", "input": "Problem: the perimeter of an equilateral triangle is 60 . if one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 50 , then how long is the base of isosceles triangle ? \nOptions: a ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) 25", "output": [ "b" ] }, { "id": "task1423-d06da1dcdbd14c6ba9433ce549f4e3fe", "input": "Problem: approximately how many cubic feet of water are needed to fill a circular swimming pool that is 80 feet across and 10 feet deep ? \nOptions: a ) 10000 , b ) 50000 , c ) 80000 , d ) 85000 , e ) 90000", "output": [ "b" ] }, { "id": "task1423-d9fc6eaf97764cf697ae03cd6fff9cf7", "input": "Problem: if circles x and y have the same area and circle x has a circumference of 20 π , half of the radius of circle y is : \nOptions: a ) 16 , b ) 5 , c ) 4 , d ) 2 , e ) 1", "output": [ "b" ] }, { "id": "task1423-9cca9864c97640488f88bc1c43c2336e", "input": "Problem: a spirit and water solution is sold in a market . the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has . a solution of 1 liter of spirit and 1 liter of water costs 50 cents . how many cents does a solution of 1 liter of spirit and 3 liters of water cost ? \nOptions: ['a ) 13', 'b ) 33', 'c ) 56', 'd ) 50', 'e ) 52']", "output": [ "d" ] }, { "id": "task1423-c7cf3025bf7a4c90803c25bea3b7b275", "input": "Problem: what is the maximum number e of 27 cubic centimetre cubes that can fit in a rectangular box measuring 8 centimetre x 9 centimetre x 12 centimetre ? \nOptions: ['a ) 36', 'b ) 32', 'c ) 24', 'd ) 21', 'e ) 15']", "output": [ "c" ] }, { "id": "task1423-ade5d950ef0f4563834b8a2a188835df", "input": "Problem: each of the 9 squares shown is to contain one number chosen from 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , and 9 . no number is to be repeated . suppose the sum of the 5 squares aligned vertically on the right is 32 and that the sum of the 5 squares aligned horizontally on the bottom is 20 . what number goes in the shared corner square ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "e" ] }, { "id": "task1423-7621403922bc4b5aa61a3284743cdcf8", "input": "Problem: the area of a triangle is with base 4 m and height 5 m ? \nOptions: ['a ) 11', 'b ) 10', 'c ) 99', 'd ) 17', 'e ) 12']", "output": [ "b" ] }, { "id": "task1423-6c1a3153de0d49cbb82d6a4bcbc79b11", "input": "Problem: what will be the percentage increase in the area of the cube ' s surface if each of the cube ' s edges grows by 20 % ? \nOptions: a ) 33 % , b ) 44 % , c ) 55 % , d ) 56 % , e ) 73 %", "output": [ "b" ] }, { "id": "task1423-9fefeaf3233e4c65843c0121ce5662bb", "input": "Problem: the perimeter of a triangle is 44 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ? \nOptions: a ) 38 cm 2 , b ) 55 cm 2 , c ) 65 cm 2 , d ) 45 cm 2 , e ) 35 cm 2", "output": [ "b" ] }, { "id": "task1423-814ef3297e6a4ae3bb83e7306d768add", "input": "Problem: the surface of a cube is 384 sq cm . find its volume ? \nOptions: a ) 8 cc , b ) 9 cc , c ) 512 cc , d ) 4 cc , e ) 6 cc", "output": [ "c" ] }, { "id": "task1423-0c8728bfa78646bb8196a61b7fa5b9f6", "input": "Problem: the points a ( 0 , 0 ) , b ( 0 , 4 a - 5 ) and c ( 2 a + 3 , 2 a + 6 ) form a triangle . if angle abc = 90 , what is the area of triangle abc ? \nOptions: a ) 114 , b ) 116 , c ) 118 , d ) 119 , e ) 120", "output": [ "d" ] }, { "id": "task1423-520577623a6f4ac9915004cad886ca51", "input": "Problem: in a new housing development , trees are to be planted along the sidewalk of a certain street . each tree takes up one square foot of sidewalk space , and there are to be 20 feet between each tree . how many trees can be planted if the road is 148 feet long ? \nOptions: ['a ) 8', 'b ) 9', 'c ) 10', 'd ) 11', 'e ) 16']", "output": [ "a" ] }, { "id": "task1423-116e7269b6bd4f9ba3b9ef1bc7dc2ed3", "input": "Problem: the diameter of a cylindrical tin is 10 cm and height is 5 cm . find the volume of the cylinder ? \nOptions: a ) 125 , b ) 155 , c ) 130 , d ) 120 , e ) 100", "output": [ "a" ] }, { "id": "task1423-db16d749bb33405eb6b6b8202179341d", "input": "Problem: a cube is painted red on all faces . it is then cut into 27 equal smaller cubes . how many j cubes are painted on only 2 faces ? \nOptions: a ) 12 , b ) 8 , c ) 6 , d ) 10 , e ) 16", "output": [ "a" ] }, { "id": "task1423-e7c92d31f2b04a03a102c13aed1b54b8", "input": "Problem: the roof of an apartment building is rectangular and its length is 5 times longer than its width . if the area of the roof is 720 feet squared , what is the difference between the length and the width of the roof ? \nOptions: a ) 38 . , b ) 40 . , c ) 42 . , d ) 44 . , e ) 48 .", "output": [ "e" ] }, { "id": "task1423-86ea4670a0fb460fb444169e1c17a77a", "input": "Problem: what is the area of a square field whose sides have a length of 13 meters ? \nOptions: a ) 225 sq m , b ) 169 sq m , c ) 128 sq m , d ) 267 sq m , e ) 231 sq m", "output": [ "b" ] }, { "id": "task1423-04f16b15dc774fdf8aea63db436fed43", "input": "Problem: the length of a rectangle is 5 more than the width . what are the dimensions of the rectangle if the perimeter is 34 ? \nOptions: ['a ) 11', 'b ) 12', 'c ) 13', 'd ) 14', 'e ) none']", "output": [ "a" ] }, { "id": "task1423-2b2a785d025248e587f085222f5baa68", "input": "Problem: the length of a rectangular field is 7 / 5 its width . if the perimeter of the field is 240 meters , what is the width of the field ? \nOptions: a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 90", "output": [ "a" ] }, { "id": "task1423-64d2f6a855454101b1462b0e1517b4e3", "input": "Problem: if the ratio of the areas of two squares is 225 : 256 , then the ratio of their perimeters is : \nOptions: ['a ) 15 : 12', 'b ) 15 : 14', 'c ) 15 : 16', 'd ) 15 : 22', 'e ) none of these']", "output": [ "c" ] }, { "id": "task1423-8c9751a25f3a4437974e0d0b44044a82", "input": "Problem: a circular well with a diameter of 4 metres , is dug to a depth of 14 metres . what is the volume of the earth dug out ? \nOptions: a ) 32 m 3 , b ) 36 m 3 , c ) 40 m 3 , d ) 44 m 3 , e ) 176 m 3", "output": [ "e" ] }, { "id": "task1423-f538bcf05187475eab917b2ad063e803", "input": "Problem: the length of a rectangle is 2 times its width . if the width of the rectangle is 4 inches , what is the rectangle ' s area , in square inches ? \nOptions: a ) 30 square inches , b ) 75 square inches , c ) 68 square inches , d ) 89 square inches , e ) 32 square inches", "output": [ "e" ] }, { "id": "task1423-221db28aa7e943d6b96f38a3b87281de", "input": "Problem: in a rectangular coordinate system , what is the area of a quadrilateral whose vertices have the coordinates ( 3 , - 1 ) , ( 3 , 8 ) , ( 14 , 2 ) , ( 14 , - 5 ) ? \nOptions: a ) 76 , b ) 88 , c ) 100 , d ) 112 , e ) 124", "output": [ "b" ] }, { "id": "task1423-b689817911f24525914d4c1271186a88", "input": "Problem: the length of a rectangular field is 7 / 5 its width . if the perimeter of the field is 384 meters , what is the width of the field ? \nOptions: a ) 50 , b ) 60 , c ) 11 , d ) 80 , e ) 90", "output": [ "d" ] }, { "id": "task1423-c7d62e2541df4d6a93a3e28f680e906b", "input": "Problem: a rectangular photograph is surrounded by a border that is 1 inch wide on each side . the total area of the photograph and the border is m square inches . if the border had been 7 inches wide on each side , the total area would have been ( m + 264 ) square inches . what is the perimeter of the photograph , in inches ? \nOptions: a ) 8 , b ) 12 , c ) 16 , d ) 20 , e ) 24", "output": [ "b" ] }, { "id": "task1423-33b05a4c7c564a65840f607a04202296", "input": "Problem: if the sides of a triangle are 28 cm , 26 cm and 10 cm , what is its area ? \nOptions: a ) 120 cm 2 , b ) 112 cm 2 , c ) 776 cm 2 , d ) 130 cm 2 , e ) 886 cm 2", "output": [ "d" ] }, { "id": "task1423-41e77719eada46fc9310743568e413b0", "input": "Problem: the perimeter of a rectangular yard is completely surrounded by a fence that measures 10 meters . what is the length of the yard if the area of the yard is 6 meters squared ? \nOptions: a ) 8 , b ) 1 , c ) 5 , d ) 7 , e ) 3", "output": [ "e" ] }, { "id": "task1423-3ba6248170554f5ebbda4703c115ec87", "input": "Problem: v is the volume of a cylinder ; the radius of the cylinder is 3.5 . the height of the cylinder is 650 % more than the radius . which of the following is true ? \nOptions: ['a ) 100 < v < 300', 'b ) 300 < v < 500', 'c ) 500 < v < 700', 'd ) 700 < v < 900', 'e ) 900 < v < 1100']", "output": [ "d" ] }, { "id": "task1423-ca782518ffe34b40affe2edad5d44328", "input": "Problem: a rectangular field has to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 680 sq . feet , how many feet of fencing will be required ? \nOptions: ['a ) 80 feet', 'b ) 85 feet', 'c ) 83 feet', 'd ) 88 feet', 'e ) 90 feet']", "output": [ "d" ] }, { "id": "task1423-8c2b21b2553f4f5c9903b4cbc8d78a6b", "input": "Problem: how many pieces can a square pizza be cut into by making 5 linear cuts ? \nOptions: a ) 16 , b ) 17 , c ) 13 , d ) 14 , e ) 15", "output": [ "a" ] }, { "id": "task1423-580701efd27e484d9fb475142b24a123", "input": "Problem: how many odd numbers between 10 and 1,300 are the squares of integers ? \nOptions: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 17", "output": [ "e" ] }, { "id": "task1423-4a664d10259646c1851ca105cfac4d52", "input": "Problem: a geometric shape is obtained by combining a square of side 8 cm and a semicircle of diameter 8 cm . what is the perimeter of the shape obtained ? \nOptions: ['a ) 28.32', 'b ) 36.57', 'c ) 44.57', 'd ) 48.93', 'e ) 54.24']", "output": [ "b" ] }, { "id": "task1423-dde853d4a2e149c79878da88254d6bfa", "input": "Problem: the volume of a sphere with radius r is ( 4 / 3 ) * pi * r ^ 3 and the surface area is 4 * pi * r ^ 3 . if a sperical balloon has a volume of 12348 pi cubic centimeters , what is hte surface area of the balloon in square centimeters ? \nOptions: a ) a . 40 , b ) b . 100 , c ) c . 400 , d ) d . 1,000 , e ) e . 5,000", "output": [ "e" ] }, { "id": "task1423-8f82434d73954d00a3ee18f63defd41a", "input": "Problem: the diagonals of a rhombus are 15 cm and 17 cm . find its area ? \nOptions: a ) 277 , b ) 127.5 , c ) 150 , d ) 288 , e ) 212", "output": [ "b" ] }, { "id": "task1423-c8bc7836854240f1ab3b1ff363e60305", "input": "Problem: a block of wood has dimensions 10 cm x 10 cm x 100 cm . the block is painted red and then cut evenly at the 50 cm mark , parallel to the sides , to form two rectangular solids of equal volume . what percentage of the surface area of each of the new solids is not painted red ? \nOptions: a ) 4.5 % , b ) 8.3 % , c ) 10.2 % , d ) 12.5 % , e ) 15.3 %", "output": [ "a" ] }, { "id": "task1423-765f87e6978a43e4b858f1f0f7ed7089", "input": "Problem: a certain cube floating in a bucket of water has between 80 and 85 percent of its volume below the surface of the water . if between 8 and 15 cubic centimeters of the cube ' s volume is above the surface of the water , then the length of a side of the cube is approximately \nOptions: a ) 3 , b ) 4 , c ) 7 , d ) 8 , e ) 9", "output": [ "b" ] }, { "id": "task1423-25d93aeea8f74e609d5613cb0db0c29c", "input": "Problem: in a new housing development , trees are to be planted along the sidewalk of a certain street . each tree takes up one square foot of sidewalk space , and there are to be 9 feet between each tree . how many trees can be planted if the road is 151 feet long ? \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 16", "output": [ "e" ] }, { "id": "task1423-36956ec68f144cafbe73bc9e9956301d", "input": "Problem: a rectangular region has a fence along three sides and a wall along the fourth side . the fenced side opposite the wall is twice the length of each of the other two fenced sides . if the area of the rectangular region is 800 square feet , what is the total length of the fence , in feet ? \nOptions: a ) 40 , b ) 80 , c ) 100 , d ) 120 , e ) 200", "output": [ "b" ] }, { "id": "task1423-70a5282b567a453fa155eaab57dad0e2", "input": "Problem: a rectangle the length of which is 8 inches and the width of which is 6 inches is made up 48 1 inch by 1 inch squares . through how many of the squares does a diagonal of the rectangle pass ? \nOptions: ['a ) 6', 'b ) 8', 'c ) 10', 'd ) 12', 'e ) 16']", "output": [ "d" ] }, { "id": "task1423-311fbc835be941beb76edb7290a43f96", "input": "Problem: if the height of a cone is increased by 130 % then its volume is increased by ? \nOptions: a ) 100 , b ) 777 , c ) 998 , d ) 729 , e ) 130", "output": [ "e" ] }, { "id": "task1423-384ed0ff3bbf41a3afcea4b8cb44911c", "input": "Problem: the length of a rectangle is twice its breadth . if its length is decreased by 5 cm and breadth is increased by 5 cm , the area of the rectangle is increased by 55 sq . cm . find the length of the rectangle . \nOptions: a ) 16 cm , b ) 18 cm , c ) 15 cm , d ) 20 cm , e ) 23 cm", "output": [ "a" ] }, { "id": "task1423-5e2f7cd1b771469b8735d95305631c64", "input": "Problem: what will be the percentage increase in the area of the cube ' s surface if each of the cube ' s edges grows by 30 % ? \nOptions: ['a ) 70 %', 'b ) 69 %', 'c ) 80 %', 'd ) 82 %', 'e ) 55 %']", "output": [ "b" ] }, { "id": "task1423-3b518dacd8e449f3b78cf92ccf670cc1", "input": "Problem: the area of the largest circle that can be drawn inside a rectangle with sides 18 cm by 14 cm is \nOptions: ['a ) 237', 'b ) 154', 'c ) 2376', 'd ) 198', 'e ) 171']", "output": [ "b" ] }, { "id": "task1423-8c6586337f754f27acd1e0ef2dcf761c", "input": "Problem: the length of a rectangle is two - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 2025 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ? \nOptions: a ) 140 , b ) 150 , c ) 160 , d ) 170 , e ) 180", "output": [ "e" ] }, { "id": "task1423-40f3a894dec94708aab6c675037926b7", "input": "Problem: if the area of a circle is 16 pi square feet , find its circumference . \nOptions: a ) 8 pi feet , b ) 28 pi feet , c ) 38 pi feet , d ) 48 pi feet , e ) 58 pi feet", "output": [ "a" ] }, { "id": "task1423-c1ef731615e6469b8813a779332f8962", "input": "Problem: the edge of a cube is 6 a cm . find its surface ? \nOptions: a ) 216 a 2 , b ) 24 a 4 , c ) 24 a 1 , d ) 24 a 2 , e ) 24 a 7", "output": [ "a" ] }, { "id": "task1423-8420dc3f51f4416da642ed3013b599b2", "input": "Problem: a wall photo 2 inches wide is placed around a rectangular paper with dimensions 8 inches by 12 inches . what is the area of the wall photo , in square inches ? \nOptions: ['a ) 96', 'b ) 86', 'c ) 108', 'd ) 144', 'e ) 118']", "output": [ "a" ] }, { "id": "task1423-8d2e2467a54c4a0f900629497cf2e823", "input": "Problem: cubes with each side one inch long are glued together to form a larger cube . the larger cube ' s face is painted with red color and the entire assembly is taken apart . 24 small cubes are found with no paints on them . how many of unit cubes have at least one face that is painted red ? \nOptions: a ) 64 , b ) 72 , c ) 86 , d ) 98 , e ) 101", "output": [ "e" ] }, { "id": "task1423-6bcff9ffe79e49cbb84b09a2495a2c74", "input": "Problem: the volume of a sphere with radius r is ( 4 / 3 ) * pi * r ^ 3 and the surface area is 4 * pi * r ^ 3 . if a sperical balloon has a volume of 2304 pi cubic centimeters , what is hte surface area of the balloon in square centimeters ? \nOptions: ['a ) a . 40', 'b ) b . 100', 'c ) c . 400', 'd ) d . 1,800', 'e ) e . 10,000']", "output": [ "d" ] }, { "id": "task1423-67f150174f8c4d6c93d6c125a39c6c20", "input": "Problem: if circles x and y have the same area and circle x has a circumference of 12 π , half of the radius of circle y is : \nOptions: a ) 16 , b ) 8 , c ) 3 , d ) 2 , e ) 1", "output": [ "c" ] }, { "id": "task1423-557ae998ecd3455dbe13e888502defca", "input": "Problem: four horses are tethered at four corners of a square plot of side 63 metres so that they just can not reach one another . the area left ungrazed is : \nOptions: ['a ) 675.5 m 2', 'b ) 780.6 m 2', 'c ) 785.8 m 2', 'd ) 850.5 m 2', 'e ) 950.5 m 2']", "output": [ "d" ] }, { "id": "task1423-e4af8f12e8df4c67b15d02a6f842f790", "input": "Problem: a rectangular courtyard 3.78 meters long 5.25 meters wide is to be paved exactly with square tiles , all of the same size . what is the largest size of the tile which could be used for the purpose ? \nOptions: ['a ) 14 cms', 'b ) 21 cms', 'c ) 42 cms', 'd ) none of these', 'e ) 56 cms']", "output": [ "b" ] }, { "id": "task1423-86da39fcf3f047d98402a67567ea2d2f", "input": "Problem: the area of a square field is 625 km 2 . how long will it take for a horse to run around at the speed of 25 km / h ? \nOptions: a ) 12 h , b ) 10 h , c ) 8 h , d ) 4 h , e ) none of these", "output": [ "d" ] }, { "id": "task1423-eb3d8ae2259a49eb88e9926eedc7cd35", "input": "Problem: the lateral surface area of cube is 100 sq . units . find the volume of cube ? \nOptions: ['a ) 135', 'b ) 155', 'c ) 125', 'd ) 145', 'e ) 115']", "output": [ "c" ] }, { "id": "task1423-03f6aae5dbdc4c04bdc4c41332e58d00", "input": "Problem: the surface area of a sphere is 4 π r 2 , where r is the radius of the sphere . if the area of the base of a hemisphere is 3 , what is the surface area e of that hemisphere ? \nOptions: ['a ) 6 / π', 'b ) 9 / π', 'c ) 6', 'd ) 9', 'e ) 12']", "output": [ "d" ] }, { "id": "task1423-1e4c135135144ca2aa717bf524808a82", "input": "Problem: a wooden cube whose edge length is 8 inches is composed of smaller cubes with edge lengths of one inch . the outside surface of the large cube is painted red and then it is split up into its smaller cubes . if one cube is randomly selected from the small cubes , what is the probability that the cube will have at least one red face ? \nOptions: a ) 46.3 % , b ) 50.4 % , c ) 54.2 % , d ) 57.8 % , e ) 61.3 %", "output": [ "d" ] }, { "id": "task1423-844e2f3c9e2c4ae784a2721b57490110", "input": "Problem: the volume of a sphere with radius r is ( 4 / 3 ) * pi * r ^ 3 and the surface area is 4 * pi * r ^ 3 . if a sperical balloon has a volume of 288 pi cubic centimeters , what is hte surface area of the balloon in square centimeters ? \nOptions: a ) a . 40 , b ) b . 100 , c ) c . 400 , d ) d . 1,000 , e ) e . 10,000", "output": [ "c" ] }, { "id": "task1423-e9c528c8ec2942e1b13cbe33d5419184", "input": "Problem: unit size cubes are stacked inside a big rectangular box having dimensions corresponding to three consecutive multiples of 5 . choose exact number of cubes that can completely fill the box . \nOptions: ['a ) 750', 'b ) 850', 'c ) 950', 'd ) 1050', 'e ) none of the above']", "output": [ "a" ] }, { "id": "task1423-e8748e2140dc443197a553b5864986f9", "input": "Problem: in the xy - plane , a triangle has vertices ( 0,0 ) , ( 4,0 ) and ( 4,7 ) . if a point ( a , b ) is selected at random from the triangular region , what is the probability that a - b > 0 ? \nOptions: a ) 4 / 7 , b ) 2 / 3 , c ) 3 / 5 , d ) 3 / 7 , e ) 1 / 2", "output": [ "a" ] }, { "id": "task1423-889ab6c4c6f146989bb9f153104e26ca", "input": "Problem: the circumferences of two circles are 268 meters and 380 meters . find the difference between the areas of the larger and the smaller circles . \nOptions: a ) 388.15 , b ) 2992 , c ) 4312.5 , d ) 2887.27 , e ) 5773.09", "output": [ "e" ] }, { "id": "task1423-0c264616bad84b0099a4eba57efe3c5d", "input": "Problem: the ratio of boys to girls in a class is 2 : 3 . the career preference of the students in the class are to be represented in a circle graph . if the area of the graph allocated to each career preference is to be proportional to the number of students who have that career preference , how many degrees of the circle should be used to represent a career that is preferred by one third of the boys and two - third of the girls in the class ? \nOptions: ['a ) a ) 160 degree', 'b ) b ) 168 degree', 'c ) c ) 191 degree', 'd ) d ) 272 degree', 'e ) e ) 192 degree']", "output": [ "e" ] }, { "id": "task1423-5d3f75a5804c484bb993dba3b483aa8e", "input": "Problem: the diagonal of a rhombus are 80 m and 120 m . its area is : \nOptions: a ) 4500 , b ) 4000 , c ) 4800 , d ) 4600 , e ) 4320", "output": [ "c" ] }, { "id": "task1423-102a653a9daf400592be23dd86c3be11", "input": "Problem: if n is the smallest integer such that 54 times n is the square of an integer , what is the value of n ? \nOptions: a ) 2 , b ) 1 , c ) 6 , d ) 12 , e ) 24", "output": [ "b" ] }, { "id": "task1423-8331d36330ca487eaf8bce0872558209", "input": "Problem: the ratio of the volumes of two cubes is 125 : 1000 . what is the ratio of their total surface areas ? \nOptions: a ) 81 : 121 , b ) 9 : 11 , c ) 729 : 1331 , d ) 1 : 4 , e ) none of these", "output": [ "d" ] }, { "id": "task1423-b794aaf5b9294fcc955c9e3e8ace57ed", "input": "Problem: three walls have wallpaper covering a combined area of 280 square meters . by overlapping the wallpaper to cover a wall with an area of 180 square meters , the area that is covered by exactly two layers of wallpaper is 36 square meters . what is the area that is covered with three layers of wallpaper ? \nOptions: a ) 5 square meters , b ) 32 square meters , c ) 42 square meters , d ) 83.3 square meters , e ) 120 square meters", "output": [ "b" ] }, { "id": "task1423-0761c1bf3da947a18aaa4992c52407db", "input": "Problem: an isosceles triangle with sides 13 13 10 and there is a circle inscribed it . find the radius of circle ? \nOptions: ['a ) 1.32', 'b ) 3.33', 'c ) 3.58', 'd ) 4.34', 'e ) 5.18']", "output": [ "b" ] }, { "id": "task1423-7a2885eaa6b04865b076766599717788", "input": "Problem: the ratio of male to female in a class is 2 : 7 . the career preference of the students in the class are to be represented in a circle graph . if the area of the graph allocated to each career preference is to be proportional to the number of students who have that career preference , how many degrees of the circle should be used to represent a career that is preferred by one third of the males and two - third of the females in the class ? \nOptions: ['a ) a ) 160 degree', 'b ) b ) 168 degree', 'c ) c ) 191 degree', 'd ) d ) 192 degree', 'e ) e ) 213 degree']", "output": [ "e" ] }, { "id": "task1423-326a1afb0cb644d986dfa8a6318701e5", "input": "Problem: a circular garden is surrounded by a fence of negligible width along the boundary . if the length of the fence is 1 / 5 of th area of the garden . what is the radius of the circular garden ? \nOptions: a ) 1 , b ) 2 , c ) 10 , d ) 8 , e ) 16", "output": [ "c" ] }, { "id": "task1423-9104c82b3ee044c28aed3313dd35f7c5", "input": "Problem: danny is sitting on a rectangular box . the area of the front face of the box is half the area of the top face , and the area of the top face is 1.5 times the area of the side face . if the volume of the box is 1536 , what is the area of the side face of the box ? \nOptions: a ) 34 , b ) 65 , c ) 88 , d ) 90 , e ) 128", "output": [ "e" ] }, { "id": "task1423-5435f2abd8f64f728e18b0db50df9549", "input": "Problem: a rectangular garden is to be twice as long as it is wide . if 180 yards of fencing , including the gate , will completely enclose the garden , what will be the length of the garden , in yards ? \nOptions: a ) 60 , b ) 70 , c ) 80 , d ) 90 , e ) 100", "output": [ "a" ] }, { "id": "task1423-c4fccfcaa487427185c7e460a3d73d78", "input": "Problem: obra drove 120 π meters along a circular track . if the area enclosed by the circular track on which she drove is 57,600 π square meters , what percentage of the circular track did obra drive ? \nOptions: a ) 6.67 % , b ) 12.5 % , c ) 18.75 % , d ) 25 % , e ) 33.3 %", "output": [ "d" ] }, { "id": "task1423-a579f8b97af046f49b28c334c50b55a6", "input": "Problem: the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each . the radius of the sphere is : \nOptions: a ) 4 cm , b ) 6 cm , c ) 8 cm , d ) 10 cm , e ) 9 cm", "output": [ "b" ] }, { "id": "task1423-269a2bcf2c3f43e2b1373e21269d0e40", "input": "Problem: what is the area of the square with the following coordinates : ( x , y ) , ( 20 , 20 ) , ( 20 , 9 ) , ( x , 9 ) ? \nOptions: ['a ) 121', 'b ) 132', 'c ) 144', 'd ) 156', 'e ) 169']", "output": [ "a" ] }, { "id": "task1423-dd36a6129e9c416982c62704aa941f00", "input": "Problem: what is the ratio g of the surface area of a cube to the surface area of a rectangular solid identical to the cube in all ways except that its length has been doubled ? \nOptions: ['a ) 1 / 4', 'b ) 3 / 8', 'c ) 1 / 2', 'd ) 3 / 5', 'e ) 2']", "output": [ "d" ] }, { "id": "task1423-a4b0e27f1630478a9bf9f6035bb1e70f", "input": "Problem: a rectangular swimming pool is 10 feet by 12 feet . a deck that has uniform width surrounds the pool . the total area of the pool and deck is 360 square feet . what is the width of the deck ? \nOptions: a ) 7 , b ) 2 , c ) 3 , d ) 4 , e ) 6", "output": [ "d" ] }, { "id": "task1423-db613846a4c140c4af19a347973ba80d", "input": "Problem: a spirit and water solution is sold in a market . the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has . a solution of 1 liter of spirit and 1 liter of water costs 40 cents . how many cents does a solution of 1 liter of spirit and 2 liters of water cost ? \nOptions: a ) 40 , b ) 33 , c ) 50 , d ) 51 , e ) 52", "output": [ "a" ] }, { "id": "task1423-5d26c1093b78449aa2966e534f4b5640", "input": "Problem: the length of a rectangle is five times of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 16 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 11 units ? \nOptions: ['a ) 180 sq . units', 'b ) 11 sq . units', 'c ) 110 sq . units', 'd ) 140 sq . units', 'e ) 220 sq . units']", "output": [ "e" ] }, { "id": "task1423-09d078e81e584b068d5cecbe5772a005", "input": "Problem: an order was placed for a carpet whose length and width were in the ratio of 3 : 2 . subsequently , the dimensions of the carpet were altered such that its length and width were in the ratio 4 : 1 but were was no change in its perimeter . what is the ratio of the areas of the carpets ? \nOptions: ['a ) 5 : 8', 'b ) 3 : 2', 'c ) 6 : 1', 'd ) 8 : 7', 'e ) 5 : 6']", "output": [ "b" ] }, { "id": "task1423-fecee77ccd4f47dea0d073bc222f30a3", "input": "Problem: the length of a rectangle is two - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 1225 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 6 units ? \nOptions: a ) 140 , b ) 84 , c ) 88 , d ) 72 , e ) 12", "output": [ "b" ] }, { "id": "task1423-4fb1d5184f0945168561f8f53a2e87b5", "input": "Problem: a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 10 sq . feet , how many feet of fencing will be required ? \nOptions: a ) 34 , b ) 40 , c ) 68 , d ) 21 , e ) 78", "output": [ "d" ] }, { "id": "task1423-d88605b9d13d47b0aba4999234f7ab50", "input": "Problem: a cylinder is inserted in a sphere d / h = 2 / 3 . find the surface area of the cylinder ? \nOptions: ['a ) 23.12', 'b ) 24.12', 'c ) 25.12', 'd ) 26.12', 'e ) 27.12']", "output": [ "c" ] }, { "id": "task1423-8aef5fa233de4eba852fd9654c8b124b", "input": "Problem: the side of a square is increased by 5 % then how much % does its area increases ? \nOptions: a ) 15.00 % , b ) 10.25 % , c ) 10.00 % , d ) 12.25 % , e ) 12.50 %", "output": [ "b" ] }, { "id": "task1423-e07fef1007fd4326934c3fce5b8d10fd", "input": "Problem: the measurement of a rectangular box with lid is 25 cmx 6 cmx 18 cm . find the volume of the largest sphere that can be inscribed in the box ( in terms of π cm 3 ) . ( hint : the lowest measure of rectangular box represents the diameter of the largest sphere ) \nOptions: ['a ) 288', 'b ) 48', 'c ) 36', 'd ) 864', 'e ) 964']", "output": [ "c" ] }, { "id": "task1423-629786a812864ae89a1593bf057f3011", "input": "Problem: a circular logo is enlarged to fit the lid of a jar . the new diameter is 30 per cent larger than the original . by what percentage has the area of the logo increased ? \nOptions: a ) 50 , b ) 80 , c ) 69 , d ) 125 , e ) 250", "output": [ "c" ] }, { "id": "task1423-c2145b8db1ef48f980a1b19004c6433d", "input": "Problem: the area of an isosceles trapezoid with sides of length 5 and bases of length 9 and 15 is ? \nOptions: a ) 44 , b ) 48 , c ) 46 , d ) 47 , e ) 50", "output": [ "b" ] }, { "id": "task1423-2fff7ea8075d474a94e0ce727caf50c9", "input": "Problem: a circle in the coordinate plane passes through points ( - 3 , - 2 ) and ( 1 , - 4 ) . what is the smallest possible area of that circle ? \nOptions: a ) 13 π , b ) 26 π , c ) 262 √ π , d ) 5 π , e ) 64 π", "output": [ "d" ] }, { "id": "task1423-589a1e9b66b14766b378a5819fdbfa72", "input": "Problem: the diagonals of a rhombus are 17 cm and 20 cm . find its area ? \nOptions: a ) 176 , b ) 186 , c ) 150 , d ) 170 , e ) 172", "output": [ "d" ] }, { "id": "task1423-d996b94e00b34256a91760c97bee1651", "input": "Problem: find the perimeter and area of a square of side 19 cm . \nOptions: a ) 324 , b ) 361 , c ) 400 , d ) 441 , e ) 484", "output": [ "b" ] }, { "id": "task1423-4a2e549c0cd941dcad0a1a4da980439f", "input": "Problem: what should be added to 4872 so that it may become a perfect square ? \nOptions: a ) 24 , b ) 25 , c ) 26 , d ) 27 , e ) 28", "output": [ "e" ] }, { "id": "task1423-35f2eaba99fc4df483c7f1eaaa6af58a", "input": "Problem: if the sides of a triangle are 9 cm , 16 cm and 19 cm , what is its area ? \nOptions: a ) 69 , b ) 72 , c ) 75 , d ) 89 , e ) 93", "output": [ "b" ] }, { "id": "task1423-f6ef01396aff4ed6ae019bf23c48998f", "input": "Problem: the radius of the two circular fields is in the ratio 3 : 5 the area of the first field is what percent less than the area of the second ? \nOptions: a ) 23 % , b ) 62 % , c ) 92 % , d ) 64 % , e ) 22 %", "output": [ "d" ] }, { "id": "task1423-47bfe0e28aad45c0b3250c5665d55b7f", "input": "Problem: if the length of the longest chord of a certain circle is 24 , what is the radius of that certain circle ? \nOptions: a ) 12 , b ) 5 , c ) 10 , d ) 15 , e ) 20", "output": [ "a" ] }, { "id": "task1423-aa8f23ae2dbf452c865d8c1279761477", "input": "Problem: find the surface area of a 10 cm x 4 cm x 2 cm brick . \nOptions: a ) 136 cu cm , b ) 124 cu cm , c ) 164 cu cm , d ) 180 cu cm , e ) none", "output": [ "a" ] }, { "id": "task1423-eab0312456c0479bbf47197ef51e1b47", "input": "Problem: a semicircle has a radius of 11 . what is the approximate perimeter of the semicircle ? \nOptions: ['a ) 45', 'b ) 51', 'c ) 57', 'd ) 63', 'e ) 69']", "output": [ "c" ] }, { "id": "task1423-337da06e2d03475d8b12e341cf169f8c", "input": "Problem: the length of a rectangle is twice the breadth . if the area is 128 cm 2 , determine the length and the breadth . \nOptions: ['a ) b = 2 , l = 9', 'b ) b = 8 , l = 16', 'c ) b = 9 , l = 9', 'd ) b = 4 , l = 14', 'e ) b = 3 , l = 9']", "output": [ "b" ] }, { "id": "task1423-780a624043a94e35a5c84e70289fe5ce", "input": "Problem: a cube is divided into 729 identical cubelets . each cut is made parallel to some surface of the cube . but before doing that the cube is coloured with green colour on one set of adjacent faces , red on the other set of adjacent faces , blue on the third set . so , how many cubelets are there which are painted with exactly one colour ? \nOptions: a ) 293 , b ) 294 , c ) 295 , d ) 296 , e ) 298", "output": [ "b" ] }, { "id": "task1423-3e9ae9361437484c8160a6ac060cd99d", "input": "Problem: in the coordinate plane , one of the vertices of a square is the point ( - 5 , - 4 ) . if the diagonals of that square intersect at point ( 3 , 2 ) , what is the area of that square ? \nOptions: a ) 100 , b ) 225 , c ) 169 , d ) 256 , e ) 324", "output": [ "d" ] }, { "id": "task1423-45866c3bd3e54b2c9938c47bdf979fa6", "input": "Problem: find the volume , curved surface area and the total surface area of a cylinder with diameter of base 7 cm and height 40 cm . \nOptions: ['a ) 952 cm ^ 2', 'b ) 957 cm ^ 2', 'c ) 954 cm ^ 2', 'd ) 958 cm ^ 2', 'e ) none of them']", "output": [ "b" ] }, { "id": "task1423-ce06842d606042fa83d4c89d50dffc4b", "input": "Problem: the slant height of a cone is 10 cm and radius of the base is 5 cm , find the curved surface of the cone . \nOptions: a ) 250 , b ) 170 , c ) 148 , d ) 157 , e ) 150", "output": [ "d" ] }, { "id": "task1423-f365ce12068e4e579f2515b089562249", "input": "Problem: the length of the rectangular field is double its width . inside the field there is square shaped pond 8 m long . if the area of the pond is 1 / 98 of the area of the field . what is the length of the field ? \nOptions: a ) 73 , b ) 32 , c ) 34 , d ) 43 , e ) 112", "output": [ "e" ] }, { "id": "task1423-0527e645dc95486d88dfe5b4a564de54", "input": "Problem: the perimeter of a square is equal to the radius of a circle having area 39424 sq cm , what is the area of square ? \nOptions: ['a ) 1225 sq cm', 'b ) 441 sq cm', 'c ) 784 sq cm', 'd ) can ’ t say', 'e ) none of these']", "output": [ "c" ] }, { "id": "task1423-4cc998d18d854c54ad77c2fd4a29a361", "input": "Problem: the admission charge in a water park is $ 1 by adult and $ 0.75 by child accompanying an adult . how much was there of child with an adult who paid in quite $ 3.25 to have access to the water park ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "c" ] }, { "id": "task1423-c1fb37f4ea6649638ce873f2cdeae5af", "input": "Problem: the length of a rectangle is 4 times its width . if the width of the rectangle is 5 inches , what is the rectangle ' s area , in square inches ? \nOptions: a ) 30 square inches , b ) 75 square inches , c ) 100 square inches , d ) 89 square inches , e ) 92 square inches", "output": [ "c" ] }, { "id": "task1423-4e803330bf2c4338b77d9949918d4bd3", "input": "Problem: the perimeter of a square is equal to the perimeter of a rectangle of length 17 cm and breadth 14 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) \nOptions: a ) 23.57 , b ) 23.54 , c ) 23.5 , d ) 24.35 , e ) 24.51", "output": [ "d" ] }, { "id": "task1423-a0017f03f3324c69972779231b4cc4f3", "input": "Problem: the length of a rectangualr hll is 5 m more than its breadth . the area of the hall is 750 m . the length of the hall is \nOptions: ['a ) 15 m', 'b ) 22.5 m', 'c ) 25 m', 'd ) 30 m', 'e ) none']", "output": [ "c" ] }, { "id": "task1423-a878b5a6737f4dc78a5506ae7eb89cb8", "input": "Problem: what is the area of square field whose side of length 8 m ? \nOptions: a ) 225 , b ) 64 , c ) 772 , d ) 882 , e ) 21", "output": [ "b" ] }, { "id": "task1423-446a814af76d472d9adad4d43c16c207", "input": "Problem: the cost of the paint is rs . 36.50 per kg . if 1 kg of paint covers 16 squares feet , how much will it cost to paint outside of a cube having 8 feet each side ? \nOptions: a ) rs . 692 , b ) rs . 768 , c ) rs . 876 , d ) rs . 972 , e ) none", "output": [ "c" ] }, { "id": "task1423-85b7c9738ddf4e4b8cc5d84688f91ec5", "input": "Problem: the cube root of . 000343 is \nOptions: a ) 0.7 , b ) 0.07 , c ) 0.007 , d ) 7 , e ) none of these", "output": [ "b" ] }, { "id": "task1423-9b15e103b7204485a57bcaba063c62d1", "input": "Problem: the area of an isosceles trapezoid with sides of length 5 and bases of length 7 and 13 is ? \nOptions: ['a ) 40', 'b ) 41', 'c ) 42', 'd ) 43', 'e ) 44']", "output": [ "a" ] }, { "id": "task1423-ba2ab84b7bd843efa84dbf7ef67c94d6", "input": "Problem: find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 5 cm and 4 cm ? \nOptions: a ) 189 cm 2 , b ) 150 cm 2 , c ) 127 cm 2 , d ) 177 cm 2 , e ) 90 cm 2", "output": [ "e" ] }, { "id": "task1423-e08f8bd5f7644afeab5328453116a938", "input": "Problem: the perimeter of a triangle is 36 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle \nOptions: a ) a ) 72 , b ) b ) 45 , c ) c ) 729 , d ) d ) 34 , e ) e ) 35", "output": [ "b" ] }, { "id": "task1423-4dc3b81751c5496ca36e43de0fd201d3", "input": "Problem: if paint costs $ 3.20 per quart , and a quart covers 10 square feet , how much will it cost to paint the outside of a cube 10 feet on each edge ? \nOptions: a ) $ 1.60 , b ) $ 16.00 , c ) $ 96.00 , d ) $ 108.00 , e ) $ 192.00", "output": [ "e" ] }, { "id": "task1423-e96d812a77ac42a28723269d7275d26f", "input": "Problem: thin rectangular slab of potato was cut into two pieces for an osmosis lab . one piece is 50 mm greater than the other . if the original uncut slab is 600 mm , what is the length of the other piece of the potato after it is cut . \nOptions: ['a ) 550', 'b ) 275', 'c ) 50', 'd ) 300', 'e ) 250']", "output": [ "b" ] }, { "id": "task1423-70ec28aa9ab74a249dfbeba0c41bd779", "input": "Problem: the radius of a cylinder is 8 m , height 13 m . the volume of the cylinder is : \nOptions: a ) 2200 , b ) 2614.9 , c ) 3300 , d ) 1100 , e ) 4400", "output": [ "b" ] }, { "id": "task1423-d100141042f747318c4ef04caeef3f3e", "input": "Problem: juan and his five friends will sit on six fixed seats around a circular table . if juan must sit on the seat closest to the window and jamal must sit next to juan , in how many can juan and his five friends sit ? \nOptions: ['a ) 20', 'b ) 24', 'c ) 48', 'd ) 72', 'e ) 120']", "output": [ "c" ] }, { "id": "task1423-7dd2a38ad1ab4f01b92459b24588869d", "input": "Problem: the length of one pair of opposite sides of a square is increased by 5 cm on each side the ratio of the length and the breadth of the newly formed rectangle becomes 3 : 2 . what is the area of the original square ? \nOptions: ['a ) 25 sq . cm', 'b ) 81 sq . cm', 'c ) 120 sq . cm', 'd ) 225 sq . cm', 'e ) none of these']", "output": [ "e" ] }, { "id": "task1423-048d0bcdb31e473c93e07b47c1c6f176", "input": "Problem: the edges of cuboid are 4 cm ; 5 cm and 6 cm . find its surface area ? \nOptions: ['a ) 228', 'b ) 148', 'c ) 992', 'd ) 772', 'e ) 222']", "output": [ "b" ] }, { "id": "task1423-421fc11355414c78a3c0182dbb1b7eeb", "input": "Problem: find the area of a parallelogram with base 14 cm and height 24 cm . \nOptions: a ) 336 , b ) 384 , c ) 345 , d ) 244 , e ) 242", "output": [ "a" ] }, { "id": "task1423-28106cb7904642fb8f4484e93b6321ff", "input": "Problem: if the sides of a cube are in the ratio 7 : 3 . what is the ratio of their diagonals ? \nOptions: a ) 9 : 4 , b ) 8 : 4 , c ) 7 : 4 , d ) 7 : 3 , e ) 6 : 4", "output": [ "d" ] }, { "id": "task1423-f97c8b2b77fb433cb6891c23d8cc125f", "input": "Problem: if the sides of a rectangle are increased by 35 % , what is the percentage increase in the area ? \nOptions: a ) 38.25 % , b ) 40.25 % , c ) 82.25 % , d ) 50 % , e ) 65 %", "output": [ "c" ] }, { "id": "task1423-79b21a87c45f461685cd1b507e03f846", "input": "Problem: what should be added to 4329 so that it may become a perfect square ? \nOptions: a ) 24 , b ) 25 , c ) 26 , d ) 27 , e ) 28", "output": [ "d" ] }, { "id": "task1423-4757ecc178354ae2816b751945432c83", "input": "Problem: in the xy - plane , a triangle has vertices ( 0,0 ) , ( 4,0 ) and ( 4,9 ) . if a point ( a , b ) is selected at random from the triangular region , what is the probability that a - b > 0 ? \nOptions: a ) 1 / 5 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 9 , e ) 4 / 5", "output": [ "d" ] }, { "id": "task1423-8e519d4ae8834836a747e79b566b4e32", "input": "Problem: the ratio of the volumes of two cubes is 8 : 27 what is the ratio of their total surface areas ? \nOptions: a ) 2 : 4 , b ) 3 : 6 , c ) 4 : 12 , d ) 4 : 9 , e ) 1 : 3", "output": [ "d" ] }, { "id": "task1423-5e3949df15be474780e197ff8393b40a", "input": "Problem: a cylindrical cube of radius 12 cm contains water upto a depth of 20 cm . a spherical iron ball is dropped into the tub and thus the level of water is raised by 6.75 cm . the radius of the ball is : \nOptions: ['a ) 7 cm', 'b ) 8.5 cm', 'c ) 9 cm', 'd ) 9.5 cm', 'e ) none']", "output": [ "c" ] }, { "id": "task1423-f8d4f619a6714c38879885d35a80ff82", "input": "Problem: the area of a parallelogram is 288 sq m and its altitude is twice the corresponding base . then the length of the base is ? \nOptions: a ) 12 , b ) 9 , c ) 7 , d ) 6 , e ) 5", "output": [ "a" ] }, { "id": "task1423-b36ff89f12594f9898016e0de199aac1", "input": "Problem: if k and w are the dimensions of a rectangle that has area 20 and if k and w are integers such that k > w , what is the total number of possible values of k ? \nOptions: ['a ) two', 'b ) three', 'c ) four', 'd ) five', 'e ) six']", "output": [ "b" ] }, { "id": "task1423-88d042fc6e684929ac179b7a63c2b830", "input": "Problem: a cubical block of metal weighs 5 pounds . how much will another cube of the same metal weigh if its sides are twice as long ? \nOptions: ['a ) 48', 'b ) 40', 'c ) 24', 'd ) 18', 'e ) 12']", "output": [ "b" ] }, { "id": "task1423-f7754e7161b34a47bf06a3c532b4899b", "input": "Problem: the diagonals of two squares are in the ratio of 3 : 7 then find the ratio of its areas ? \nOptions: a ) 7 : 37 , b ) 6 : 46 , c ) 9 : 49 , d ) 8 : 68 , e ) 6 : 61", "output": [ "c" ] }, { "id": "task1423-3fc026224f314e69a0d364327394109c", "input": "Problem: a hall is 15 m long and 12 m broad . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , the volume of the hall is \nOptions: a ) 720 , b ) 900 , c ) 1200 , d ) 1800 , e ) none", "output": [ "c" ] }, { "id": "task1423-c8e7e2def8a44ba1b63a8e76bd8fd9ea", "input": "Problem: the perimeter of a rectangular yard is completely surrounded by a fence that measures 12 meters . what is the length of the yard if the area of the yard is 9 meters squared ? \nOptions: ['a ) 8', 'b ) 1', 'c ) 3', 'd ) 4', 'e ) 6']", "output": [ "b" ] }, { "id": "task1423-2ab2b45f1219499e9feda94b146a2916", "input": "Problem: a rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 4 per sq m ? \nOptions: a ) 2288 , b ) 2779 , c ) 2779 , d ) 5200 , e ) 2781", "output": [ "d" ] }, { "id": "task1423-e67136cc152048dcba0a610bb15cbb28", "input": "Problem: the radius of a cylinder is 10 m , height 14 m . the volume of the cylinder is : \nOptions: a ) 2200 , b ) 5500 , c ) 3300 , d ) 1100 , e ) 4400", "output": [ "e" ] }, { "id": "task1423-d4e17e318c86477db1f734aa60f43795", "input": "Problem: in the xy - plane , a triangle has vertices ( 0,0 ) , ( 4,0 ) and ( 4,8 ) . if a point ( a , b ) is selected at random from the triangular region , what is the probability that a - b > 0 ? \nOptions: a ) 1 / 5 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 4 / 5", "output": [ "c" ] }, { "id": "task1423-8da284aceb9c4359ae9265c7dd934589", "input": "Problem: a rectangular field is to be fenced on three sides leaving a side of 10 feet uncovered . if the area of the field is 680 sq . ft , how many feet of fencing will be required ? \nOptions: a ) 144 ft , b ) 88 ft , c ) 22 ft , d ) 112 ft , e ) 146 t", "output": [ "e" ] }, { "id": "task1423-f6f7f48cdab74ed3ac5868b9378b824d", "input": "Problem: a triangle has sides 10 , 17 , and 21 . a square is inscribed in the triangle . one side of the square lies on the longest side of the triangle . the other two vertices of the square touch the two shorter sides of the triangle . what is the length of the side of the square ? \nOptions: ['a ) 148 / 29', 'b ) 168 / 29', 'c ) 168 / 26', 'd ) 158 / 29', 'e ) 198 / 29']", "output": [ "b" ] }, { "id": "task1423-86138782838e47baad5bd34388e4d726", "input": "Problem: the volume of a certain substance is always directly proportional to its weight . if 48 cubic inches of the substance weigh 114 ounces , what is the volume , in cubic inches , of 63 ounces of this substance ? \nOptions: a ) 27 , b ) 26 , c ) 42 , d ) 64 , e ) 147", "output": [ "b" ] }, { "id": "task1423-0f1271d966a549b7b852b386b464d8eb", "input": "Problem: each of the 35 points is placed either inside or on the surface of a perfect sphere . if 88 % or fewer of the points touch the surface , what is the maximum number of segments which , if connected from those points to form chords , could be the diameter of the sphere ? \nOptions: a ) 7 , b ) 11 , c ) 13 , d ) 14 , e ) 15", "output": [ "e" ] }, { "id": "task1423-e54e684761e1487ca8274df0d492f979", "input": "Problem: the length of a rectangular field is 7 / 5 its width . if the perimeter of the field is 360 meters , what is the width of the field ? \nOptions: a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 75", "output": [ "e" ] }, { "id": "task1423-15456f52927e44eaa90ddc37e3076103", "input": "Problem: tough and tricky questions : number properties . what is the smallest positive integer x such that 1512 x is the cube of a positive integer ? \nOptions: a ) 7 , b ) 14 , c ) 28 , d ) 35 , e ) 49", "output": [ "e" ] }, { "id": "task1423-551bbd80f18d40ec99ad5bd8da5cdd9d", "input": "Problem: a tailor trims 6 feet from opposite edges of a square piece of cloth , and 5 feet from the other two edges . if 80 square feet of cloth remain , what was the length of a side of the original piece of cloth ? \nOptions: a ) 16 , b ) 18 , c ) 20 , d ) 24 , e ) 32", "output": [ "c" ] }, { "id": "task1423-9e7fe0d59c504c178b3cd4e5c79f1c5a", "input": "Problem: four concentric circles r given . the radius of 1 st circle is x . next is 2 x , then 3 x and 4 x . given that area b / w 2 nd and 1 st is a and 4 th and 3 rd circles being b . find ratio of a to b \nOptions: ['a ) 2 : 7', 'b ) 1 : 7', 'c ) 3 : 5', 'd ) 3 : 7', 'e ) 3 : 4']", "output": [ "d" ] }, { "id": "task1423-c649b3358936458d8fec22c9d13616d5", "input": "Problem: a rectangular pig farm has a fence along three sides and a wall along the fourth side . the fenced side opposite the wall is twice the length of each of the other two fenced sides . if the area of the rectangular region is 1250 square feet , what is the total length of the fence , in feet ? \nOptions: ['a ) 25', 'b ) 50', 'c ) 100', 'd ) 150', 'e ) 200']", "output": [ "d" ] }, { "id": "task1423-91ce2511af314adc9641abc88b80c589", "input": "Problem: the sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 240 m , its area is ? \nOptions: a ) 150 , b ) 882 , c ) 277 , d ) 261 , e ) 120", "output": [ "e" ] }, { "id": "task1423-9e8a8f4d60a649eb973f9e78b6c001c5", "input": "Problem: 2 minute is taken to travel the diagonal of square field at 3 km / hour . calculate the area of field ? \nOptions: ['a ) 25 are', 'b ) 30 are', 'c ) 50 are', 'd ) 60 are', 'e ) 45 are']", "output": [ "c" ] }, { "id": "task1423-9d021509984c4fe6af9caae8bf300769", "input": "Problem: the measurement of a rectangular box with lid is 25 cmx 4 cmx 18 cm . find the volume of the largest sphere that can be inscribed in the box ( in terms of π cm 3 ) . ( hint : the lowest measure of rectangular box represents the diameter of the largest sphere ) \nOptions: a ) 11.12 , b ) 10.11 , c ) 72 , d ) 10.66 , e ) 9.2", "output": [ "d" ] }, { "id": "task1423-4f02bf636e324e02bc6c256f990b52b8", "input": "Problem: two cubes have their volumes are in the ratio 1 : 27 . find the ratio of their surface area ? \nOptions: ['a ) 1 : 2', 'b ) 2 : 3', 'c ) 1 : 9', 'd ) 2 : 7', 'e ) 3 : 11']", "output": [ "c" ] }, { "id": "task1423-3eade6b2eaf34595ba3940865c2d5b64", "input": "Problem: if radius of a circle is reduced by 10 % , then how much % of its area will be reduced ? \nOptions: ['a ) 10 %', 'b ) 19 %', 'c ) 20 %', 'd ) 36 %', 'e ) 30 %']", "output": [ "b" ] }, { "id": "task1423-3d66f55800c3479fa72491861282bc97", "input": "Problem: a certain cube floating in a bucket of water has between 70 and 85 percent of its volume below the surface of the water . if between 8 and 20 cubic centimeters of the cube ' s volume is above the surface of the water , then the length of a side of the cube is approximately \nOptions: a ) 4 , b ) 5 , c ) 7 , d ) 8 , e ) 9", "output": [ "a" ] }, { "id": "task1423-720af95ebd6b4ff29995480a7419c44f", "input": "Problem: the radius of the circle is reduced from 5 cm to 4 cm then the % change of area . \nOptions: ['a ) 36 %', 'b ) 37 %', 'c ) 35 %', 'd ) 38 %', 'e ) 39 %']", "output": [ "a" ] }, { "id": "task1423-a1087fca6ca74e7a9536a8c7350585d2", "input": "Problem: how many 3 x 3 x 3 cubes could fit in a 10 x 24 x 16 box ? \nOptions: a ) 150 , b ) 145 , c ) 138 , d ) 142 , e ) 175", "output": [ "d" ] }, { "id": "task1423-61661a62147f459f87a2abe4119d614b", "input": "Problem: a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 400 sq . ft , how many feet of fencing will be required ? \nOptions: a ) 60 feet , b ) 50 feet , c ) 40 feet , d ) 30 feet , e ) 5 feet", "output": [ "a" ] }, { "id": "task1423-59e7e5f2d6ab4273b3b68aa2ed3b6885", "input": "Problem: a hall is 15 m long and 12 m broad . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , the volume of the hall is : \nOptions: a ) 3348 , b ) 3898 , c ) 1200 , d ) 2881 , e ) 7881", "output": [ "c" ] }, { "id": "task1423-afa83445fa4644f89616d1ca0e456e52", "input": "Problem: a rectangle with width 8 and diagonal 30 . find the area ? \nOptions: ['a ) 240 square units', 'b ) 180 square units', 'c ) 100 square units', 'd ) 150 square units', 'e ) 160 square units']", "output": [ "a" ] }, { "id": "task1423-e8ca03d3e7e348cba19becaa26258b9c", "input": "Problem: 30 square stone slabs of equal size were needed to cover a floor area of 50.7 sq . m . find the length of each stone slab ? \nOptions: a ) 130 cm , b ) 767 cm , c ) 88 cm , d ) 666 cm , e ) 776 cm", "output": [ "a" ] }, { "id": "task1423-2d407a05aa4246579712d331afd13c69", "input": "Problem: find the area of a parallelogram with base 12 cm and height 8 cm ? \nOptions: a ) 96 cm 2 , b ) 104 cm 2 , c ) 78 cm 2 , d ) 86 cm 2 , e ) 76 cm 2", "output": [ "a" ] }, { "id": "task1423-47848f3b54894515bd13c6b2514ce99e", "input": "Problem: in measuring the sides of a rectangle , one side is taken 14 % in excess and other 5 % in deficit . find the error percentage in the area calculated from these measurements . \nOptions: a ) 3.5 % , b ) 2.4 % , c ) 8.3 % , d ) 5 % , e ) 2.6 %", "output": [ "c" ] }, { "id": "task1423-02ae97d997e54a4380084ead7d788769", "input": "Problem: the length of a rectangular garden is 2 feet longer than 3 times its width . if the perimeter of the garden is 100 feet , find the width and the length of the garden . \nOptions: a ) 80 , b ) 90 , c ) 100 , d ) 70 , e ) 110", "output": [ "c" ] }, { "id": "task1423-e46640738dc74b67bf86983619d83b3a", "input": "Problem: what is the % change in the area of a rectangle when its length increases by 35 % and its width decreases by 35 % ? \nOptions: ['a ) 0 %', 'b ) 20 % increase', 'c ) 20 % decrease', 'd ) 12 % decrease', 'e ) insufficient data']", "output": [ "d" ] }, { "id": "task1423-5276145fd4fc4df6bd1f89376ef37539", "input": "Problem: if the length of a rectangle is increased by 20 % and the breadth is reduced by 20 % , what will be the effect on its area ? \nOptions: ['a ) 4 % increase', 'b ) 6 % increase', 'c ) 5 % decrease', 'd ) 4 % decrease', 'e ) none of these']", "output": [ "d" ] }, { "id": "task1423-0f94d6943fa243c6851177b9ad0bf15e", "input": "Problem: a rectangular lawn of dimensions 80 m * 40 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 3 per sq m ? \nOptions: a ) 2288 , b ) 2779 , c ) 3300 , d ) 3900 , e ) 2781", "output": [ "c" ] }, { "id": "task1423-e27b83c9ac8d4f96885ec5111504f502", "input": "Problem: the perimeter of an isosceles right triangle is 12 + 12 sq rt 2 . what is the length of the hypotenuse of the triangle ? \nOptions: ['a ) 5', 'b ) 6', 'c ) 7', 'd ) 8.485', 'e ) 8']", "output": [ "d" ] }, { "id": "task1423-84011762b27842e2a767e33d3611ffc4", "input": "Problem: find the area of a parallelogram with base 12 cm and height 48 cm ? \nOptions: a ) 122 cm 2 , b ) 576 cm 2 , c ) 246 cm 2 , d ) 42 cm 2 , e ) 39 cm 2", "output": [ "b" ] }, { "id": "task1423-bbdcd26f01994bc8bd30ce76d9a6eb82", "input": "Problem: there are thirty - 4 lines that are tangent to a circle , and these lines create regions in the plane . can you tell how many of these regions are not enclosed ? \nOptions: a ) 50 , b ) 74 , c ) 37 , d ) 77 , e ) 68", "output": [ "e" ] }, { "id": "task1423-5eaf7942da8a425ab6fbac00044197c7", "input": "Problem: in a rectangular coordinate system , what is the area of a rectangle whose vertices have the coordinates ( - 4 , 1 ) , ( 1 , 1 ) , ( 1 , - 3 ) and ( - 4 , - 3 ) ? \nOptions: a ) 16 , b ) 20 , c ) 24 , d ) 25 , e ) 30", "output": [ "b" ] }, { "id": "task1423-61b864f973904d18a33d8e907143f4ad", "input": "Problem: a rectangular tiled patio is composed of 96 square tiles . the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles . after the change in layout , the patio will still have 96 tiles , and it will still be rectangular . how many rows are in the tile patio before the change in layout ? \nOptions: a ) 5 , b ) 6 , c ) 8 , d ) 13 , e ) 28", "output": [ "c" ] }, { "id": "task1423-1ac050c2d2ca4a94b6e4f16ac1523c7f", "input": "Problem: the length of a rectangle is halved , while its breadth is tripled . watis the % change in area ? \nOptions: a ) 43 % , b ) 47 % , c ) 50 % , d ) 65 % , e ) 68 %", "output": [ "c" ] }, { "id": "task1423-7ef2a1c59a384b03b5c718c77580d809", "input": "Problem: if y is the smallest positive integer such that 11,025 multiplied by y is the square of an integer , then y must be \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 7 , e ) 14", "output": [ "b" ] }, { "id": "task1423-b0249e1a646a42389e015bfa7739641c", "input": "Problem: when magnified 1000 times by an electron microscope , the image of a certain circular piece of tissue has a diameter of 0.3 centimeter . the actual diameter of the tissue , in centimeters , is \nOptions: a ) 0.005 , b ) 0.002 , c ) 0.001 , d ) 0.0003 , e ) 0.0002", "output": [ "d" ] }, { "id": "task1423-9612fbedf7ab4a1b90e28ccd6f20ea7e", "input": "Problem: the area of a parallelogram is 147 sq m and its base is thrice the corresponding height . then the length of the base is ? \nOptions: a ) 14 m , b ) 29 m , c ) 49 m , d ) 7 , e ) none", "output": [ "d" ] }, { "id": "task1423-6cf207532c9b48bdb00a7733165c216e", "input": "Problem: the ratio of radius of a circle and the side of a square is 2 : 11 . find the ratio of their areas : \nOptions: a ) 2 : 1 , b ) 4 : 7 , c ) 8 : 77 , d ) 4 : 121 , e ) none", "output": [ "d" ] }, { "id": "task1423-6f629d5b145b4814963fb7b3e6f5270b", "input": "Problem: the area of a rectangular plot is 24 times its breadth . if the difference between the length and the breadth is 10 metres , what is its breadth ? \nOptions: ['a ) 14 metres', 'b ) 5 metres', 'c ) 7.5 metres', 'd ) data inadequate', 'e ) none of these']", "output": [ "a" ] }, { "id": "task1423-2dba47b75d594f13917a3a5da9ce7380", "input": "Problem: a lady builds 10 cm length , 13 cm width , and 5 cm height box using 5 cubic cm cubes . what is the minimum number of cubes required to build the box ? \nOptions: a ) 107 , b ) 108 , c ) 130 , d ) 150 , e ) 145", "output": [ "c" ] }, { "id": "task1423-c24ee23a4ef2490a91bd02ecf5786781", "input": "Problem: a rectangular floor that measures 8 meters by 10 meters is to be covered with carpet squares that each measure 2 meters by 2 meters . if the carpet squares cost $ 10 apiece , what is the total cost for the number of carpet squares needed to cover the floor ? \nOptions: a ) $ 200 , b ) $ 240 , c ) $ 480 , d ) $ 960 , e ) $ 1,920", "output": [ "a" ] }, { "id": "task1423-bb27dc5eeeb84817ab72ebc7535568f2", "input": "Problem: a circular well with a diameter of 2 metres , is dug to a depth of 14 metres . what is the volume of the earth dug out ? \nOptions: a ) 32 m 3 , b ) 36 m 3 , c ) 40 m 3 , d ) 44 m 3 , e ) none", "output": [ "d" ] }, { "id": "task1423-8dff4b0e9d93421d92a3721024d6ea06", "input": "Problem: a perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer . how many positive integers n are there such that n is less than 5,000 and at the same time n is a perfect square and a perfect cube ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "c" ] }, { "id": "task1423-80807fce077a47b49ad3b5ba7f8578c6", "input": "Problem: eight cubes , each with a volume of 512 cm ^ 3 , are joined to form one large cube . what is the surface area of the large cube ? \nOptions: ['a ) 4096 sq cm', 'b ) 1536 sq cm', 'c ) 1024 sq cm', 'd ) 2048 sq cm', 'e ) 512 sq cm']", "output": [ "b" ] }, { "id": "task1423-f075391be8f84cfca1f9e3b76fa48333", "input": "Problem: what positive number , when squared , is equal to the cube of the positive square root of 18 ? \nOptions: a ) 64 , b ) 32 , c ) 8 , d ) 4 , e ) 9", "output": [ "e" ] }, { "id": "task1423-ebfb6ebb87f04210aa6f8d2a48aa75ec", "input": "Problem: in a certain circle there are 10 points . what is the number of the triangles connecting 2 points of the 10 points ? \nOptions: a ) 40 , b ) 45 , c ) 108 , d ) 120 , e ) 132", "output": [ "b" ] }, { "id": "task1423-2c915a4193c64d79bf4e62c7d01a59d3", "input": "Problem: the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 507 sq m , then what is the breadth of the rectangular plot ? \nOptions: a ) 16 , b ) 17 , c ) 13 , d ) 19 , e ) 14", "output": [ "c" ] }, { "id": "task1423-3a0b52ce8530407bb663c6ce76dd43a4", "input": "Problem: what will be the ratio between the area of a rectangle and the area of a triangle with one of the sides of rectangle as base and a vertex on the opposite side of rectangle . \nOptions: a ) 1 : 2 , b ) 2 : 1 , c ) 3 : 1 , d ) data inadequate , e ) none of these", "output": [ "b" ] }, { "id": "task1423-ed7c9950a49b4ebb876e104748c93eed", "input": "Problem: a rectangular floor that measures 15 meters by 18 meters is to be covered with carpet squares that each measure 3 meters by 3 meters . if the carpet squares cost $ 12 apiece , what is the total cost for the number of carpet squares needed to cover the floor ? \nOptions: a ) $ 200 , b ) $ 240 , c ) $ 360 , d ) $ 960 , e ) $ 1,920", "output": [ "c" ] }, { "id": "task1423-ed4e29e796014bcf806851a96dfc0f80", "input": "Problem: find the area of a parallelogram with base 24 cm and height 10 cm ? \nOptions: a ) 240 cm 2 , b ) 384 cm 2 , c ) 279 cm 2 , d ) 200 cm 2 , e ) 297 cm 2", "output": [ "a" ] }, { "id": "task1423-d65896929b3b4935b8baddf95062c0ae", "input": "Problem: if the height of a cone is increased by 100 % then its volume is increased by ? \nOptions: a ) 200 % , b ) 300 % , c ) 100 % , d ) 500 % , e ) 350 %", "output": [ "c" ] }, { "id": "task1423-d62481a282e34d929bd369561f2dba73", "input": "Problem: a snooker tournament charges $ 45.00 for vip seats and $ 20.00 for general admission ( “ regular ” seats ) . on a certain night , a total of 320 tickets were sold , for a total cost of $ 7,500 . how many fewer tickets were sold that night for vip seats than for general admission seats ? \nOptions: a ) 200 , b ) 276 , c ) 230 , d ) 240 , e ) 250", "output": [ "b" ] }, { "id": "task1423-122c3bbc9c524e32a386d10364c07ec8", "input": "Problem: if the dimensions of a certain rectangular box are 5 inches by 2 inches by 3 inches , then the face of greatest area is of what area ? \nOptions: ['a ) 225 square inches', 'b ) 45 square inches', 'c ) 25 square inches', 'd ) 15 square inches', 'e ) 10 square inches']", "output": [ "d" ] }, { "id": "task1423-afa156539f084322a7ce58ed079acda4", "input": "Problem: if the sides of a triangle are 26 cm , 24 cm and 12 cm , what is its area ? \nOptions: a ) 144 , b ) 772 , c ) 288 , d ) 266 , e ) 2848", "output": [ "a" ] }, { "id": "task1423-7a585d43f1c94ef69138a598d78e640f", "input": "Problem: a rectangular grass field is 85 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ? \nOptions: a ) 1450 , b ) 1971 , c ) 9676 , d ) 1679 , e ) 2691", "output": [ "a" ] }, { "id": "task1423-fc1be4eaed9544239ce7e480afad76af", "input": "Problem: the diagonal of a square is 4 ? 2 cm . what will be the diameter of another square if their area is double that of the first square ? \nOptions: ['a ) 8 cm', 'b ) 9 cm', 'c ) 10 cm', 'd ) 11 cm', 'e ) 12 cm']", "output": [ "a" ] }, { "id": "task1423-9e4db1e46eea4f93a8472ccf6a69e5d4", "input": "Problem: what is the perimeter of a square field whose diagonal is 4 √ 2 ? \nOptions: a ) 16 m , b ) 32 m , c ) 27 m , d ) 26 m , e ) 76 m", "output": [ "a" ] }, { "id": "task1423-d07a55e29d9f431397cdcd6084d2a9a3", "input": "Problem: in the xy - plane , a triangle has vertices ( 0,0 ) , ( 4,0 ) and ( 4,10 ) . if a point ( a , b ) is selected at random from the triangular region , what is the probability that a - b > 0 ? \nOptions: a ) 1 / 5 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 2 / 5", "output": [ "e" ] }, { "id": "task1423-57c1571d4c87439f828dac504addc980", "input": "Problem: the length of the rectangular field is double its width . inside the field there is square shaped pond 7 m long . if the area of the pond is 1 / 8 of the area of the field . what is the length of the field ? \nOptions: a ) 54 , b ) 32 , c ) 75 , d ) 28 , e ) 11", "output": [ "d" ] }, { "id": "task1423-a51d5bc7d2f344c08729ee4a30ebf61e", "input": "Problem: two tracks are parallel . the first track has 6 checkpoints and the second one has 10 checkpoints . in how many ways can the 6 checkpoints of first track be joined with the 10 checkpoints of the second to form a triangle ? \nOptions: ['a ) 120', 'b ) 150', 'c ) 200', 'd ) 270', 'e ) 420']", "output": [ "e" ] }, { "id": "task1423-6eb01678227b469f9e6f309ad1ec5109", "input": "Problem: surface area of a sphere is 2464 cm 2 . if its radius is doubled , then the surface area of the new sphere will be \nOptions: ['a ) 4920 cm 2', 'b ) 4727 cm 2', 'c ) 9856 cm 2', 'd ) 19712 cm 2', 'e ) none']", "output": [ "c" ] }, { "id": "task1423-28e2b4a0ca734798924eaab59100ce2d", "input": "Problem: if the sides of a triangle are 30 cm , 28 cm and 10 cm , what is its area ? \nOptions: a ) 120 , b ) 110 , c ) 130 , d ) 140 , e ) 150", "output": [ "d" ] }, { "id": "task1423-23efc43b249d4115b32141a3866ca894", "input": "Problem: if the height of a cone is increased by 160 % then its volume is increased by ? \nOptions: a ) 100 , b ) 777 , c ) 998 , d ) 729 , e ) 160", "output": [ "e" ] }, { "id": "task1423-6d0a5f471a99446586e0660131865c1b", "input": "Problem: the larger interior angle of a parallelogram is 90 ° more than its smaller interior angle . what is the measure of the smaller interior angle of the parallelogram ? \nOptions: a ) 90 ° , b ) 75 ° , c ) 60 ° , d ) 45 ° , e ) 30 °", "output": [ "d" ] }, { "id": "task1423-dc7d5d171009440693194e23679b14a8", "input": "Problem: the area of a circular field is 13.86 hectares . find the cost of fencing it at the rate of rs . 4.40 per metre . \nOptions: a ) 2399 , b ) 3888 , c ) 2999 , d ) 5808 , e ) 2888", "output": [ "d" ] }, { "id": "task1423-847127933e40424480dae37f37da4297", "input": "Problem: in a rectangular coordinate system , what is the area of a quadrilateral whose vertices have the coordinates ( 4 , - 3 ) , ( 4 , 7 ) , ( 12 , 2 ) , ( 12 , - 7 ) ? \nOptions: ['a ) 64', 'b ) 68', 'c ) 72', 'd ) 76', 'e ) 80']", "output": [ "d" ] }, { "id": "task1423-105346365eee460ca88e780681cf4f51", "input": "Problem: frank the fencemaker needs to fence in a rectangular yard . he fences in the entire yard , except for one full side of the yard , which equals 40 feet . the yard has an area of 320 square feet . how many feet offence does frank use ? \nOptions: a ) 14 , b ) 47 , c ) 54 , d ) 56 , e ) 240", "output": [ "d" ] }, { "id": "task1423-1f7037b3d6ae46f39afc3b872ec28e6b", "input": "Problem: if the area of a square with sides of length 4 centimeters is equal to the area of a rectangle with a width of 4 centimeters , what is the length of the rectangle , in centimeters ? \nOptions: a ) 14 , b ) 8 , c ) 12 , d ) 4 , e ) 18", "output": [ "d" ] }, { "id": "task1423-539d021b972e4e8cb34b2e68e6361181", "input": "Problem: the following questions are based on the information given . choose the appropriate answer that suits the question based on the information . a cube is cut in two equal parts along a plane parallel to one of its faces . one piece is then colored red on the two larger faces and green on remaining . while the other is colored green on two smaller adjacent faces and red on the remaining . each is then cut into 32 cubes of same size and mixed up . 21 . how many cubes have only one colored face each ? \nOptions: ['a ) 32', 'b ) 8', 'c ) 16', 'd ) 24', 'e ) 0']", "output": [ "c" ] }, { "id": "task1423-cf4989a914514007932cfc40da2a2ec7", "input": "Problem: two sides of a triangle have lengths x and w and meet at a right angle . if the perimeter of the triangle is 4 x , what is the ratio of x to w ? \nOptions: ['a ) a ) 2 : 3', 'b ) b ) 3 : 4', 'c ) c ) 4 : 3', 'd ) d ) 3 : 2', 'e ) e ) 2 : 1']", "output": [ "b" ] }, { "id": "task1423-d820423935624ca18f0f0f539dd457a7", "input": "Problem: the radius of a cylinder is 8 m , height 14 m . the volume of the cylinder is : \nOptions: a ) 2816 , b ) 5500 , c ) 3300 , d ) 1100 , e ) 4400", "output": [ "a" ] }, { "id": "task1423-bb47dacf4599426c9494df7fd1a2c62a", "input": "Problem: a regular 10 sided area is inscribed in a circle . if a and b are adjacent vertices of the pentagon and o is the center of the circle , what is the value of ∠ oab ? \nOptions: ['a ) 48 degrees', 'b ) 54 degrees', 'c ) 72 degrees', 'd ) 84 degrees', 'e ) 72 degrees']", "output": [ "e" ] }, { "id": "task1423-63be04b4401240aea0b7740ba707791a", "input": "Problem: if paint costs $ 3.20 per quart , and a quart covers 1200 square feet , how much will it cost to paint the outside of a cube 10 feet on each edge ? \nOptions: ['a ) $ 1.60', 'b ) $ 16.00', 'c ) $ 96.00', 'd ) $ 108.00', 'e ) $ 196.00']", "output": [ "a" ] }, { "id": "task1423-6687c8377dc74744b6aae46924355f19", "input": "Problem: in measuring the sides of a rectangle , one side is taken 5 % in excess , and the other 4 % in deficit . find the error percent in the error percent in the area calculated from these measurements . \nOptions: a ) 0.8 % , b ) 0.2 % , c ) 0.4 % , d ) 0.9 % , e ) 0.6 %", "output": [ "a" ] }, { "id": "task1423-d8b8c0ba0972415ebc75c3fa7986f50e", "input": "Problem: the length of a rectangle is reduced by 15 % . by what % would the width have to be increased to maintain the original area ? \nOptions: ['a ) 10 %', 'b ) 20 %', 'c ) 17.6 %', 'd ) 30 %', 'e ) 35 %']", "output": [ "c" ] }, { "id": "task1423-272a91c049e548aa9a2bcce3d60a8bc3", "input": "Problem: how much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 9 inches than that of a rectangular sheet of paper measuring 4.5 inches by 11 inches ? \nOptions: a ) 50 % , b ) 87 % , c ) 100 % , d ) 187 % , e ) 200 %", "output": [ "c" ] }, { "id": "task1423-4b84757c97604519aadd98e90d47bb4f", "input": "Problem: the product of the squares of two positive integers is 900 . how many pairs of positive integers satisfy this condition ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "e" ] }, { "id": "task1423-7577c25d572b400f928e777a3c330385", "input": "Problem: a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 680 sq . feet , how many feet of fencing will be required ? \nOptions: a ) 34 , b ) 40 , c ) 68 , d ) 88 , e ) 98", "output": [ "d" ] }, { "id": "task1423-c033a6627dfa45808a2029fc712f0867", "input": "Problem: the area of a triangle is with base 3 m and height 10 m ? \nOptions: a ) 88 m 2 , b ) 10 m 2 , c ) 66 m 2 , d ) 15 m 2 , e ) 31 m 2", "output": [ "c" ] }, { "id": "task1423-9251145462cc45b69f9a2508633204df", "input": "Problem: the perimeter of a square is 48 m . find the area of the square . \nOptions: ['a ) 161 m â ² .', 'b ) 144 m â ² .', 'c ) 166 m â ² .', 'd ) 169 m â ² .', 'e ) 273 m â ² .']", "output": [ "b" ] }, { "id": "task1423-ec3ff48562694c0b8166e618a3ff5b08", "input": "Problem: a rectangular courtyard , the sides of which are in the ratio of 4 : 3 , cost rs . 600 for paving at 50 p per m 2 ; find the length of the diagonal of the courtyard ? \nOptions: ['a ) 17 m', 'b ) 45 m', 'c ) 54 m', 'd ) 77 m', 'e ) 34 m']", "output": [ "b" ] }, { "id": "task1423-69be7e15fb3141a0b81dd247126bb92f", "input": "Problem: there is a rectangular prism made of 1 in cubes that has been covered in tin foil . there are exactly 128 cubes that are not touching any tin foil on any of their sides . if the width of the figure created by these 128 cubes is twice the length and twice the height , what is the measure q in inches of the width of the foil covered prism ? \nOptions: a ) 4 , b ) 6 , c ) 8 , d ) 9 , e ) 10", "output": [ "e" ] }, { "id": "task1423-4e5c899489404fdfaa65c8c45894307b", "input": "Problem: 62 small identical cubes are used to form a large cube . how many more cubes are needed to add one top layer of small cube all over the surface of the large cube ? \nOptions: a ) 64 , b ) 128 , c ) 152 , d ) 154 , e ) 256", "output": [ "d" ] }, { "id": "task1423-b8de07be53964a5082950c9f2732df3b", "input": "Problem: the area of a square is equal to seven times the area of a rectangle of dimensions 25 cm * 343 cm . what is the perimeter of the square ? \nOptions: a ) 810 cm , b ) 800 cm , c ) 980 cm , d ) 718 cm , e ) 860 cm", "output": [ "c" ] }, { "id": "task1423-e59ebcde911247a5a17c44e8ebc9aadf", "input": "Problem: the number 219 can be written as sum of the squares of 3 different positive integers . what is the sum of these 3 different integers ? \nOptions: a ) 20 , b ) 21 , c ) 19 , d ) 17 , e ) 15", "output": [ "b" ] }, { "id": "task1423-3443c242a2ee4888b08a9b9579128c46", "input": "Problem: in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 3.5 ) , ( 12 , 0 ) , ( 0 , - 3.5 ) , ( - 12 , 0 ) ? \nOptions: a ) 84 , b ) 88 , c ) 112 , d ) 116 , e ) 120", "output": [ "a" ] }, { "id": "task1423-9bd7196121ba4cc3820136beb712f63b", "input": "Problem: in a certain circle there are 10 points . what is the number of the triangles connecting 4 points of the 10 points ? \nOptions: a ) 80 , b ) 96 , c ) 108 , d ) 120 , e ) 210", "output": [ "e" ] }, { "id": "task1423-e5cae3ea8a3f42e5a9df6520de4ea973", "input": "Problem: what is the smallest positive integer x , such that 7000 x is a perfect cube ? \nOptions: a ) 4 , b ) 6 , c ) 8 , d ) 12 , e ) 18", "output": [ "d" ] }, { "id": "task1423-661517b83dfd4d49aa960f854ad45f9e", "input": "Problem: the radius of the two circular fields is in the ratio 3 : 10 the area of the first field is what percent less than the area of the second ? \nOptions: a ) 71 % , b ) 51 % , c ) 91 % , d ) 81 % , e ) 61 %", "output": [ "c" ] }, { "id": "task1423-26fbf89d7cde4668ac3338527976088c", "input": "Problem: the ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 4332 sq cm . what is the ratio of the width and the area of the rectangle ? \nOptions: a ) 1 : 72 , b ) 1 : 76 , c ) 1 : 80 , d ) 1 : 84 , e ) 1 : 88", "output": [ "b" ] }, { "id": "task1423-8be0aab5d35945bd902b5298e68f70e6", "input": "Problem: twenty four meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? \nOptions: a ) 2 √ 2 , b ) 2 √ 5 , c ) 6 , d ) 4 √ 2 , e ) none of these", "output": [ "c" ] }, { "id": "task1423-bd460dc5d2994e1991d057d726ab711c", "input": "Problem: a certain farmer pays $ 30 per acre per month to rent farmland . how much does the farmer pay per month to rent a rectangular plot of farmland that is 360 feet by 1210 feet ? ( 43,560 square feet = 1 acre ) \nOptions: ['a ) $ 5,330', 'b ) $ 3,360', 'c ) $ 1,350', 'd ) $ 300', 'e ) $ 150']", "output": [ "d" ] }, { "id": "task1423-5d283b192ed848458e9012fd4f61c9b0", "input": "Problem: the perimeter of a triangle is 32 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle \nOptions: a ) a ) 40 , b ) b ) 828 , c ) c ) 729 , d ) d ) 34 , e ) e ) 35", "output": [ "a" ] }, { "id": "task1423-25e8e25611694e15889b6f0c0793e53f", "input": "Problem: the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 2028 sq m , then what is the breadth of the rectangular plot ? \nOptions: a ) 11 , b ) 17 , c ) 26 , d ) 101 , e ) 1322", "output": [ "c" ] }, { "id": "task1423-efa290caabd04004b5b90f62d78c6927", "input": "Problem: what is the area of square field whose side of length 14 m ? \nOptions: a ) 225 , b ) 196 , c ) 266 , d ) 288 , e ) 261", "output": [ "b" ] }, { "id": "task1423-0104295522b24c979323bd43331f3cdd", "input": "Problem: a rectangular block 12 cm by 36 cm by 60 cm is cut into an exact number of equal cubes . find the least possible number of cubes ? \nOptions: a ) 6 , b ) 10 , c ) 15 , d ) 40 , e ) 22", "output": [ "c" ] }, { "id": "task1423-073a36ecf5ea4a5f9e4bcdc42da3b741", "input": "Problem: what is the ratio between perimeters of two squares one having 2 times the diagonal then the other ? \nOptions: a ) 3 : 8 , b ) 3 : 6 , c ) 3 : 7 , d ) 2 : 1 , e ) 3 : 3", "output": [ "d" ] }, { "id": "task1423-6f464de5f0eb430fbaa4b7542787476c", "input": "Problem: if anangletis defined as 1 percent of 1 degree , then how many anglets are there in a sixth of a circle ? \nOptions: a ) 0.36 , b ) 3.6 , c ) 360 , d ) 6000 , e ) 36000", "output": [ "d" ] }, { "id": "task1423-0c7f7bc0326e4a578c3475df1bb93bc5", "input": "Problem: a semicircle has a radius of 9 . what is the approximate perimeter of the semicircle ? \nOptions: a ) 16 , b ) 25 , c ) 33 , d ) 46 , e ) 58", "output": [ "d" ] }, { "id": "task1423-540a2e8b3e2e41aa80cb77d57d72e58c", "input": "Problem: if the sides of a triangle are 30 cm , 26 cm and 10 cm , what is its area ? \nOptions: a ) 120 , b ) 110 , c ) 130 , d ) 140 , e ) 150", "output": [ "c" ] }, { "id": "task1423-2e73a5c2386c4d11aa9b6a4764e50ac3", "input": "Problem: in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 5.5 ) , ( 8 , 0 ) , ( 0 , - 5.5 ) , ( - 8 , 0 ) ? \nOptions: ['a ) 56', 'b ) 88', 'c ) 112', 'd ) 116', 'e ) 120']", "output": [ "b" ] }, { "id": "task1423-af229e0c7f714fb6ae1a89a5984ba8bd", "input": "Problem: a block of wood has dimensions 10 cm x 10 cm x 40 cm . the block is painted red and then cut evenly at the 20 cm mark , parallel to the sides , to form two rectangular solids of equal volume . what percentage of the surface area of each of the new solids is not painted red ? \nOptions: a ) 5 % , b ) 10 % , c ) 15 % , d ) 20 % , e ) 25 %", "output": [ "b" ] }, { "id": "task1423-475ed946ca7c4857b8de15551cd09e8f", "input": "Problem: the volume of a sphere with radius r is ( 4 / 3 ) * pi * r ^ 3 and the surface area is 4 * pi * r ^ 3 . if a sperical balloon has a volume of 4500 pi cubic centimeters , what is hte surface area of the balloon in square centimeters ? \nOptions: a ) a . 40 , b ) b . 100 , c ) c . 400 , d ) d . 1,000 , e ) e . 2,000", "output": [ "e" ] }, { "id": "task1423-b2814d73264545bc8c24622a6d1651fa", "input": "Problem: in 2 triangle , the ratio of the areas is 4 : 3 and that of their heights is 3 : 4 . find the ratio of their bases ? \nOptions: a ) 10 : 8 , b ) 11 : 8 , c ) 16 : 9 , d ) 17 : 19 , e ) 17 : 10", "output": [ "c" ] }, { "id": "task1423-3e21eb4ee23c4bbe8154a8560dd37bb6", "input": "Problem: carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 12 inches by 15 inches and jordan ' s rectangle is 9 inches long , how wide is jordan ' s rectangle , in inches ? \nOptions: a ) 17 , b ) 18 , c ) 19 , d ) 20 , e ) 21", "output": [ "d" ] }, { "id": "task1423-c751a96d983340269dd118400fc109a6", "input": "Problem: d and e are two points respectively on sides ab and ac of triangle abc such that de is parallel to bc . if the ratio of area of triangle ade to that of the trapezium decb is 144 : 25 and bc = 13 cm , then find the length of de . \nOptions: a ) 12 , b ) 13 , c ) 14 , d ) 11 , e ) 15", "output": [ "c" ] }, { "id": "task1423-cfdf6974f4124059b19e1fe3bdc06e56", "input": "Problem: two equal triangles constitute rhombus a . if the diagonals of rhombus are 15 cm and 20 cm long . what is the area of each triangle ? \nOptions: ['a ) 300', 'b ) 150', 'c ) 75', 'd ) 40', 'e ) 20']", "output": [ "c" ] }, { "id": "task1423-457de2edbcf9477d9e49c68b2fc32eda", "input": "Problem: a room is 30 m long and 24 m broad . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , the volume of the hall is : \nOptions: ['a ) 9.6 m 3', 'b ) 96 m 3', 'c ) 960 m 3', 'd ) 9600 m 3', 'e ) 96000 m 3']", "output": [ "d" ] }, { "id": "task1423-f7004312c3df41298bd9e628ade9a661", "input": "Problem: in an electric circuit , three resistors with resistances 2 ohms , 5 ohms and 6 ohms are connected in parallel . in this case , if r is the combined resistance of these three resistors , then the reciprocal of r is equal to the sum of the reciprocals resistors . what is r value ? \nOptions: ['a ) 13 / 15 ohms', 'b ) 15 / 13 ohms', 'c ) 5 / 8 ohms', 'd ) 3 / 7 ohms', 'e ) 45 / 18 ohms']", "output": [ "a" ] }, { "id": "task1423-a855732ecd1248f687876c900a3a1a3a", "input": "Problem: the perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ? \nOptions: ['a ) 30', 'b ) 31', 'c ) 32', 'd ) 34', 'e ) 35']", "output": [ "e" ] }, { "id": "task1423-f103fe521fcd451dbc426fcd93f826c6", "input": "Problem: the ratio of radius of a circle and the side of a square is 2 : 9 . find the ratio of their areas : \nOptions: a ) 2 : 1 , b ) 4 : 7 , c ) 8 : 77 , d ) 4 : 81 , e ) none", "output": [ "d" ] }, { "id": "task1423-8792351c75fc45e7a17bb6724e210345", "input": "Problem: triangle xyz is an isosceles right triangle . if side xy is longer than side yz , and the area of the triangle is 25 , what is the measure of side xy ? \nOptions: a ) 10 , b ) 4 √ 2 , c ) 8 , d ) 8 √ 2 , e ) can not be determined from the information provided", "output": [ "a" ] }, { "id": "task1423-178713f43d6f4b2da7b3cf4cc1eabfa2", "input": "Problem: a metallic sheet is of rectangular shape with dimensions 20 m x 25 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 2 m , the volume of the box ( in m cube ) is : \nOptions: a ) 4120 m cube , b ) 4140 m cube , c ) 5140 m cube , d ) 1344 m cube , e ) none of these", "output": [ "d" ] }, { "id": "task1423-9143935254c5485ab07f56c7b94d6ef1", "input": "Problem: on dividing a number by 5 , we get 3 as remainder . what will the remainder when the square of the this number is divided by 5 ? \nOptions: a ) 0 , b ) 5 , c ) 8 , d ) 9 , e ) 4", "output": [ "e" ] }, { "id": "task1423-ce553140b7da41e38d70d200e3d12829", "input": "Problem: the area of a triangle will be when a = 2 m , b = 4 m , c = 6 m , a , b , c being lengths of respective sides ? \nOptions: a ) 3 , b ) 7 , c ) 5 , d ) 6 , e ) 4", "output": [ "d" ] }, { "id": "task1423-f640474318784485ad904b201c5eec4d", "input": "Problem: the length of a rectangle is twice its breadth . if its length is decreased by 5 cm and breadth is increased by 5 cm , the area of the rectangle is increased by 75 sq . cm . find the length of the rectangle ? \nOptions: a ) 10 cm , b ) 40 cm , c ) 20 cm , d ) 30 cm , e ) 50 cm", "output": [ "b" ] }, { "id": "task1423-8d35c9526a98469f9e7285b8ee1a1231", "input": "Problem: the area of the house of a hall is 20 m 2 that of a longer wall 10 m 2 and of the shorter wall 8 m 2 , find the edge of the new cube ? \nOptions: ['a ) 45 m 3', 'b ) 40 m 3', 'c ) 60 m 3', 'd ) 600 m 3', 'e ) 300 m 3']", "output": [ "b" ] }, { "id": "task1423-2a998b958c1f430c8663d5c3f5eb085f", "input": "Problem: the cost of the paint is rs . 40 per kg . if 1 kg of paint covers 20 sq . ft , how much will it cost to paint outside of a cube having 30 feet each side \nOptions: a ) rs . 962 , b ) rs . 672 , c ) rs . 546 , d ) rs . 10800 , e ) none of these", "output": [ "d" ] }, { "id": "task1423-68700a2b301b4c7ea2d8e96f3fea1477", "input": "Problem: the area of a square garden is a square feet and the perimeter is p feet . if a = 2 p + 14.25 , what is the perimeter of the garden , in feet ? \nOptions: ['a ) 38', 'b ) 36', 'c ) 40', 'd ) 56', 'e ) 64']", "output": [ "a" ] }, { "id": "task1423-99699bfe172e428db3bb84660a52e3a1", "input": "Problem: find the area of a right - angled triangle whose base is 12 cm and hypotenuse is 13 cm . \nOptions: ['a ) 15', 'b ) 30', 'c ) 18', 'd ) 12', 'e ) 25']", "output": [ "b" ] }, { "id": "task1423-56b98503d8a845bb932ea74f9b26340e", "input": "Problem: the area of a parallelogram is 1764 sq m and its base is nine times size of the corresponding altitude . then the length of the base is ? \nOptions: a ) 21 , b ) 9 , c ) 11 , d ) 14 , e ) 7", "output": [ "d" ] }, { "id": "task1423-e8665ae1a2d34c06bc996a48ba9b6e6e", "input": "Problem: the area of a square garden is q square feet and the perimeter is p feet . if q = 2 p + 33 , what is the perimeter of the garden in feet ? \nOptions: a ) 28 , b ) 32 , c ) 36 , d ) 40 , e ) 44", "output": [ "e" ] }, { "id": "task1423-8c42fe6417d24c70afe4ef2575488252", "input": "Problem: find the area of the quadrilateral of one of its diagonals is 50 cm and its off sets 15 cm and 5 cm ? \nOptions: a ) 100 cm 2 , b ) 150 cm 2 , c ) 200 cm 2 , d ) 250 cm 2 , e ) 500 cm 2", "output": [ "e" ] }, { "id": "task1423-a88900f8b1014ce88fe3f4b2474d2e4a", "input": "Problem: find the area of a rhombus one side of which measures 20 cm and one diagonal is 26 cm . \nOptions: a ) 600 cm 2 , b ) 500 cm 2 , c ) 516 cm 2 , d ) 416 cm 2 , e ) 100 cm 2", "output": [ "d" ] }, { "id": "task1423-10bece5bdd0742fdb75bbd08f125daba", "input": "Problem: if k and w are the dimensions of a rectangle that has area 48 , and if k and w are integers such that k > w , what is the total number of possible values of k ? \nOptions: a ) four , b ) three , c ) two , d ) five , e ) six", "output": [ "a" ] }, { "id": "task1423-3ee3346ba7d948e086bc7aaab0ddad56", "input": "Problem: a cube of edge 16 cm is immersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 20 cm * 15 cm , find the rise in water level ? \nOptions: a ) 6 cm , b ) 8.25 cm , c ) 13.65 cm , d ) 15.12 cm , e ) 20.62 cm", "output": [ "c" ] }, { "id": "task1423-e78f686ab75143848b7854a29fc97233", "input": "Problem: the area of a square is equal to five times the area of a rectangle of dimensions 32 cm * 10 cm . what is the perimeter of the square ? \nOptions: ['a ) 289 cm', 'b ) 160 cm', 'c ) 829 cm', 'd ) 288 cm', 'e ) 289 cm']", "output": [ "b" ] }, { "id": "task1423-218ef6b7c5b64a90a369a832092ff905", "input": "Problem: if the radius of a circle is decreased 20 % , what happens to the area ? \nOptions: a ) 10 % decrease , b ) 20 % decrease , c ) 36 % decrease , d ) 40 % decrease , e ) 50 % decrease", "output": [ "c" ] }, { "id": "task1423-d2c02bdd1d254dbf95353914866fd5fd", "input": "Problem: for a right angle triangle the hypotenuse is 5 and base is 3 . what is the area of the triangle ? \nOptions: ['a ) 6', 'b ) 7', 'c ) 8', 'd ) 9', 'e ) 10']", "output": [ "a" ] }, { "id": "task1423-7baa8a3c00d24ee69a7ef53fb0c10c6c", "input": "Problem: the angle between two hands at 3.45 is \nOptions: a ) 110 degree , b ) 115 degree , c ) 112 1 / 2 degree , d ) 117 degree , e ) 157 1 / 2 degree", "output": [ "e" ] }, { "id": "task1423-ca8d3b8f27f24ff48d80e6a1e0e951b1", "input": "Problem: three walls have wallpaper covering a combined area of 300 square meters . by overlapping the wallpaper to cover a wall with an area of 180 square meters , the area that is covered by exactly two layers of wallpaper is 34 square meters . what is the area that is covered with three layers of wallpaper ? \nOptions: a ) 43 square meters , b ) 36 square meters , c ) 42 square meters , d ) 83.3 square meters , e ) 120 square meters", "output": [ "a" ] }, { "id": "task1423-988f933aa5c44c7eb05d0a493fe841ca", "input": "Problem: when a certain perfect square is increased by 148 , the result is another perfect square . what is the value of the original perfect square ? \nOptions: ['a ) 1296', 'b ) 1369', 'c ) 1681', 'd ) 1764', 'e ) 2500']", "output": [ "a" ] }, { "id": "task1423-789e00a9eb8f4f3790f9bc2ff7c9053c", "input": "Problem: if the area of a square with sides of length 6 centimeters is equal to the area of a rectangle with a width of 4 centimeters , what is the length of the rectangle , in centimeters ? \nOptions: a ) 4 , b ) 8 , c ) 12 , d ) 9 , e ) 18", "output": [ "d" ] }, { "id": "task1423-35f1581f54fc42a0a4c1dc795103285b", "input": "Problem: if the volume of the cube is 729 , then the surface area of the cube will be \nOptions: ['a ) 486', 'b ) 255', 'c ) 2866', 'd ) 265', 'e ) 872']", "output": [ "a" ] }, { "id": "task1423-c6d82162d280420d836806811a19cbf4", "input": "Problem: a cube has a volume of 343 cubic feet . if a similar cube is twice as long , twice as wide , and twice as high , then the volume , in cubic feet of such cube is ? \nOptions: a ) 24 , b ) 48 , c ) 64 , d ) 2744 , e ) 100", "output": [ "d" ] }, { "id": "task1423-e8d9dbae6bbf4f549d87b6502f16ffa4", "input": "Problem: the volume of a cube is 3375 cc . find its surface . \nOptions: a ) 1350 , b ) 1150 , c ) 1456 , d ) 1254 , e ) 1489", "output": [ "a" ] }, { "id": "task1423-55282e13b2c24370abdd3cecef281fed", "input": "Problem: a closed cylindrical tank contains 36 pie cubic feet of water and its filled to half its capacity . when the tank is placed upright on its circular base on level ground , the height of water in the tank is 4 feet . when the tank is placed on its side on level ground , what is the height , in feet , of the surface of the water above the ground ? \nOptions: ['a ) 0 feet', 'b ) 1 feet', 'c ) 2 feet', 'd ) 3 feet', 'e ) 4 feet']", "output": [ "d" ] }, { "id": "task1423-f3e783dfccb543f8a28b2c87378e1bb1", "input": "Problem: a math teacher has 26 cards , each of which is in the shape of a geometric figure . half of the cards are rectangles , and a third of the cards are rhombuses . if 8 cards are squares , what is the maximum possible number of cards that re circles . \nOptions: a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 13", "output": [ "a" ] }, { "id": "task1423-a12407ae5880440aa2613c4c52f807e4", "input": "Problem: 66 small identical cubes are used to form a large cube . how many more cubes are needed to add one top layer of small cube all over the surface of the large cube ? \nOptions: a ) 64 , b ) 150 , c ) 152 , d ) 216 , e ) 256", "output": [ "b" ] }, { "id": "task1423-d6a600e6da014fe98fc845992df2fd94", "input": "Problem: a small table has a length of 12 inches and a breadth of b inches . cubes are placed on the surface of the table so as to cover the entire surface . the maximum side of such cubes is found to be 4 inches . also , a few such tables are arranged to form a square . the minimum length of side possible for such a square is 24 inches . find b . \nOptions: a ) 8 , b ) 16 , c ) 24 , d ) 32 , e ) 48", "output": [ "a" ] }, { "id": "task1423-1a831a0d9ad8483dbc50b06238ca0e81", "input": "Problem: how much space , in cubic units , is left vacant when maximum number of 4 x 4 x 4 cubes are fitted in a rectangular box measuring 10 x 12 x 16 ? \nOptions: ['a ) 0', 'b ) 36', 'c ) 180', 'd ) 216', 'e ) 384']", "output": [ "e" ] }, { "id": "task1423-9bc17edd8a534fda836cdde0b3848680", "input": "Problem: a number when divided by 6 leaves a remainder 3 . when the square of the same number is divided by 6 , the remainder is : \nOptions: ['a ) 0', 'b ) 1', 'c ) 2', 'd ) 3', 'e ) 4']", "output": [ "d" ] }, { "id": "task1423-98adab84f0e9485e86c7d8f452df2045", "input": "Problem: find the cube root of 804357 ? \nOptions: a ) 22 , b ) 88 , c ) 93 , d ) 19 , e ) 18", "output": [ "c" ] }, { "id": "task1423-bedecfeefb0c40a7bd9af165783594d0", "input": "Problem: the inside dimensions of a rectangular wooden box are 4 meters by 5 meters by 6 meters . a cylindrical drum is to be placed inside the box so that it stands upright when the closed box rests on one of its six faces . of all such drums that could be used , what is the volume , in cubic meters , of the one that has maximum volume ? \nOptions: ['a ) 20 π', 'b ) 24 π', 'c ) 25 π', 'd ) 96 π', 'e ) 100 π']", "output": [ "c" ] }, { "id": "task1423-20ea76e0f0214cc8acabad5dc5ff9df9", "input": "Problem: if the radius of a circle is increased by 10 % then the area is increased by : \nOptions: a ) 44 % , b ) 120 % , c ) 144 % , d ) 40 % , e ) 21 %", "output": [ "e" ] }, { "id": "task1423-be973aaa0ef045ea8f345c067f384a41", "input": "Problem: a math teacher has 27 cards , each of which is in the shape of a geometric figure . half of the cards are rectangles , and a third of the cards are rhombuses . if 8 cards are squares , what is the maximum possible number of cards that re circles . \nOptions: ['a ) 9', 'b ) 10', 'c ) 11', 'd ) 12', 'e ) 13']", "output": [ "b" ] }, { "id": "task1423-2f5d459d2736459cbe31b9b3d82f6db7", "input": "Problem: a clockwise rotation around point z ( that is , a rotation in the direction of the arrow ) transforms the shaded quadrilateral to the unshaded quadrilateral . the angle of rotation is approximately \nOptions: a ) 180 o , b ) 270 o , c ) 360 o , d ) 45 o , e ) 135 o", "output": [ "b" ] }, { "id": "task1423-8318fba109174981a4b82ca7f1a715e7", "input": "Problem: how many odd numbers between 10 and 1600 are the squares of integers ? \nOptions: a ) 9 , b ) 12 , c ) 15 , d ) 18 , e ) 21", "output": [ "d" ] }, { "id": "task1423-c1420e6d77ee4ac0914f31bbde417487", "input": "Problem: if the diameter of circle r is 80 % of the diameter of circle s , the area of circle r is what percent of the area of circle s ? \nOptions: a ) 74 % , b ) 64 % , c ) 84 % , d ) 94 % , e ) 34 %", "output": [ "b" ] }, { "id": "task1423-1b47ac7f97cc4c41859f7d7fb1f673d0", "input": "Problem: a metallic sheet is of rectangular shape with dimensions 48 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 4 m , the volume of the box ( in m 3 ) is : \nOptions: a ) 4480 , b ) 5120 , c ) 6420 , d ) 8960 , e ) 7960", "output": [ "a" ] }, { "id": "task1423-c58e5c5c59ac4ae49e1bc8c3e920fada", "input": "Problem: what will be the cost of building a fence around a square plot with area equal to 49 sq ft , if the price per foot of building the fence is rs . 58 ? \nOptions: a ) 3944 , b ) 1624 , c ) 2999 , d ) 2667 , e ) 2121", "output": [ "b" ] }, { "id": "task1423-eadb05913a7f48738bbb79d3d1b4f48e", "input": "Problem: if the perimeter of square region d and the perimeter of rectangular region r are equal and the sides of r are in the ratio 2 : 3 then the ratio of the area of r to the area of d \nOptions: ['a ) 25 : 16', 'b ) 24 : 25', 'c ) 5 : 6', 'd ) 4 : 5', 'e ) 4 : 9']", "output": [ "b" ] }, { "id": "task1423-578f071fd7c344468667076656aab6d5", "input": "Problem: the diagonal of a rhombus are 70 m and 160 m . its area is : \nOptions: a ) 1940 , b ) 4800 , c ) 5600 , d ) 5200 , e ) 5000", "output": [ "c" ] }, { "id": "task1423-0690f10bc0dd4ea2a13d47135b754f16", "input": "Problem: the radius of a cylinder is 10 m , height 15 m . the volume of the cylinder is : \nOptions: a ) 2200 , b ) 5500 , c ) 3300 , d ) 1100 , e ) 4714.3", "output": [ "e" ] }, { "id": "task1423-2e23c0fb1209463f95d28b88381e2706", "input": "Problem: the diameter of a cylindrical tin is 6 cm and height is 5 cm . find the volume of the cylinder ? \nOptions: ['a ) 33', 'b ) 45', 'c ) 66', 'd ) 77', 'e ) 21']", "output": [ "b" ] }, { "id": "task1423-9d3bdef4c9a54e7a850c267d4ee34138", "input": "Problem: a squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 5 feet . how many feet does the squirrel travels if the post is 25 feet tall and 3 feet in circumference ? \nOptions: ['a ) 10 feet', 'b ) 12 feet', 'c ) 13 feet', 'd ) 15 feet', 'e ) 18 feet']", "output": [ "d" ] }, { "id": "task1423-30a4c25215f3460a8554f6eda1c9cec9", "input": "Problem: the volume of the largest right circular cone that can be cut out of a cube of edge 7 cm is : \nOptions: ['a ) 89.8 cm ³', 'b ) 92.5 cm ³', 'c ) 132.8 cm ³', 'd ) 144.5 cm ³', 'e ) none']", "output": [ "a" ] }, { "id": "task1423-bc9b506d6fe0417aa078695ac4275709", "input": "Problem: the largest one digit number which is a perfect cube , is : \nOptions: a ) 7 , b ) 8 , c ) 9 , d ) 1 , e ) 0", "output": [ "b" ] }, { "id": "task1423-f18748dbf91f4d89a86b18556440621a", "input": "Problem: the area of a triangle will be when a = 1 m , b = 2 m , c = 3 m , a , b , c being lengths of respective sides . \nOptions: ['a ) 0 sq m', 'b ) 7 sq m', 'c ) 2 sq m', 'd ) 3 sq m', 'e ) 6 sq m']", "output": [ "a" ] }, { "id": "task1423-b8d8eff5eb2a4a93be2f1918c37b3518", "input": "Problem: an artist wishes to paint a circular region on a square poster that is 5 feet on a side . if the area of the circular region is to be 1 / 2 the area of the poster , what must be the radius of the circular region in feet ? \nOptions: a ) 1 / pi , b ) sqrt ( 2 / pi ) , c ) 2 / sqrt ( pi ) , d ) sqrt ( 12.5 / pi ) , e ) pi / 2", "output": [ "d" ] }, { "id": "task1423-0f1c6d79c03a4263903b0c0c0ae03622", "input": "Problem: find the area of a parallelogram with base 24 cm and height 16 cm . \nOptions: a ) 379 , b ) 384 , c ) 345 , d ) 342 , e ) 376", "output": [ "b" ] }, { "id": "task1423-198ce747b6f04e419ae78f8f7f34d7aa", "input": "Problem: the volume of a certain substance is always directly proportional to its weight . if 48 cubic inches of the substance weigh 112 ounces , what is the volume , in cubic inches , of 60 ounces of this substance ? \nOptions: a ) 27 , b ) 36 , c ) 25 , d ) 64 , e ) 147", "output": [ "c" ] }, { "id": "task1423-cebd421b8794469ea3d671d23efe2251", "input": "Problem: the monthly rent of a shop of dimension 20 feet × 18 feet is rs . 1440 . what is the annual rent per square foot of the shop ? \nOptions: ['a ) 48', 'b ) 56', 'c ) 68', 'd ) 87', 'e ) 92']", "output": [ "a" ] }, { "id": "task1423-a6fc40f0b717442bba8fda9c1e56c992", "input": "Problem: the area of a rectangular field is equal to 300 square meters . its perimeter is equal to 70 meters . find the width of this rectangle . \nOptions: a ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) 25", "output": [ "c" ] }, { "id": "task1423-764febc61ad04d548dd087c3eb9e49fb", "input": "Problem: the area of a parallelogram is 72 cm ^ 2 and its altitude is twice the corresponding base . what is the length of the base ? \nOptions: ['a ) 1 cm', 'b ) 3 cm', 'c ) 6 cm', 'd ) 4 cm', 'e ) 2 cm']", "output": [ "c" ] }, { "id": "task1423-57ef96c4278a4bc4b38c068a0f04c35b", "input": "Problem: the length of rectangle is thrice its breadth and its perimeter is 120 m , find the area of the rectangle ? \nOptions: a ) 432 sq m , b ) 356 sq m , c ) 452 sq m , d ) 428 sq m , e ) 675 sq m", "output": [ "e" ] }, { "id": "task1423-4a8e8957f3374c1dafa1f3630d9de9c9", "input": "Problem: right triangle abc is to be drawn in the xy - plane so that the right angle is at a and ab is parallel to the y - axis . if the x - and y - coordinates of a , b , and c are to be integers that are consistent with the inequalities - 7 ≤ x ≤ 1 and 4 ≤ y ≤ 9 , then how many different triangles can be drawn that will meet these conditions ? \nOptions: a ) 54 , b ) 432 , c ) 2,160 , d ) 3024 , e ) 148,824", "output": [ "d" ] }, { "id": "task1423-300480fabe7c421b8cbec9e71ee821a8", "input": "Problem: what is the smallest positive integer x , such that 2160 x is a perfect cube ? \nOptions: a ) 100 , b ) 6 , c ) 8 , d ) 12 , e ) 18", "output": [ "a" ] }, { "id": "task1423-ce1582ae2aad40ecadcbaff37e07bc07", "input": "Problem: how much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 15 inches than that of a rectangular sheet of paper measuring 7.5 inches by 11 inches ? \nOptions: a ) 50 % , b ) 87 % , c ) 100 % , d ) 187 % , e ) 200 %", "output": [ "c" ] }, { "id": "task1423-86b5886b089844c292f011e51aa38f63", "input": "Problem: five equal cubes , each of side 5 cm , are placed adjacent to each other . the volume of the new solid formed will be \nOptions: ['a ) 125 cm 3', 'b ) 625 cm 3', 'c ) 15525 cm 3', 'd ) 1225 cm 3', 'e ) none']", "output": [ "b" ] }, { "id": "task1423-f756ba32f03b4e179b93ac2cd22761aa", "input": "Problem: what is the smallest positive integer nn such that √ 6,480 ∗ n is a perfect cube ? \nOptions: a ) 5 , b ) 5 ^ 2 , c ) 30 , d ) 30 ^ 2 , e ) 30 ^ 4", "output": [ "e" ] }, { "id": "task1423-608acf3bb0504b0688f4a93ceca6a1de", "input": "Problem: the perimeter of one square is 48 cm and that of another is 20 cm . find the perimeter and the diagonal of a square which is equal in area to these two combined ? \nOptions: ['a ) 5 cm', 'b ) 13 √ 2 cm', 'c ) 12 cm', 'd ) 6 cm', 'e ) 8 cm']", "output": [ "b" ] }, { "id": "task1423-d81512e0d6814de7af8299b545124e64", "input": "Problem: what is the total surface area in square meters of a rectangular solid whose length is 6 meters , width is 5 meters , and depth is 2 meters ? \nOptions: ['a ) 100 m 2', 'b ) 104 m 2', 'c ) 106 m 2', 'd ) 108 m 2', 'e ) 160 m 2']", "output": [ "b" ] }, { "id": "task1423-f27b0a5da94a4e1ca903f7fe25e3038d", "input": "Problem: what is the area of a square field whose diagonal of length 14 m ? \nOptions: a ) 160 sq m , b ) 140 sq m , c ) 200 sq m , d ) 400 sq m , e ) 180 sq m", "output": [ "b" ] }, { "id": "task1423-63efa8afefaf465a97c2d2631579bd5a", "input": "Problem: the number 90 can be written as the sum of the squares of 4 different positive integers . what is the sum of these 4 integers ? \nOptions: a ) 17 , b ) 16 , c ) 15 , d ) 14 , e ) 13", "output": [ "b" ] }, { "id": "task1423-e90325fa447843cb85c72edb0a872432", "input": "Problem: if a square mirror has a 20 - inch diagonal , what is the approximate perimeter t of the mirror , in inches ? \nOptions: a ) 40 , b ) 60 , c ) 80 , d ) 100 , e ) 120", "output": [ "b" ] }, { "id": "task1423-9953b6f3c8fe4283b3280cd8225c8c92", "input": "Problem: a gardener grows cabbages in her garden that is in the shape of a square . each cabbage takes 1 square feet of area in her garden . this year , she has increased her output by 193 cabbages as compared to last year . the shape of the area used for growing the cabbages has remained a square in both these years . how many cabbages did she produce this year ? \nOptions: a ) 8,208 , b ) 9,409 , c ) 11,424 , d ) 12,586 , e ) can not be determined", "output": [ "b" ] }, { "id": "task1423-d6c6883b72ef4a85bd3fcd8ba907ff04", "input": "Problem: what is the area of an equilateral triangle whose one side length is 90 ? \nOptions: ['a ) 4025 √ 3', 'b ) 3525 √ 3', 'c ) 3025 √ 3', 'd ) 2525 √ 3', 'e ) 2025 √ 3']", "output": [ "e" ] }, { "id": "task1423-9ffc3b6461024037bf6df09c23156315", "input": "Problem: if the diameter of circle r is 60 % of the diameter of circle s , the area of circle r is what percent of the area of circle s ? \nOptions: ['a ) 50 %', 'b ) 46 %', 'c ) 36 %', 'd ) 26 %', 'e ) 38 %']", "output": [ "c" ] }, { "id": "task1423-c9b103ab858e461b8b5b1e8822f50586", "input": "Problem: the ratio of radius of a circle and the side of a square is 2 : 7 . find the ratio of their areas : \nOptions: a ) 2 : 1 , b ) 4 : 7 , c ) 8 : 77 , d ) 4 : 49 , e ) none", "output": [ "d" ] }, { "id": "task1423-b616dec3f55d4da487ba8cee5280e034", "input": "Problem: what is the measure of the angle e made by the diagonals of the any adjacent sides of a cube . \nOptions: ['a ) 30', 'b ) 45', 'c ) 60', 'd ) 75', 'e ) 90']", "output": [ "c" ] }, { "id": "task1423-c1e2342eeae44965b1b53f91f12b9b90", "input": "Problem: the length of each side of an equilateral triangle having an area of 4 √ 3 cm 2 is ? \nOptions: ['a ) 3 : 4', 'b ) 3 : 9', 'c ) 3 : 7', 'd ) 3 : 1', 'e ) 3 : 2']", "output": [ "a" ] }, { "id": "task1423-a93e08486b6b4d83a51783811e827fc9", "input": "Problem: 2.2 cubic dm of lead is to be drawn into a cylindrical wire 0.50 cm diameter . find the length of the wire in meters . \nOptions: ['a ) 110', 'b ) 111', 'c ) 113', 'd ) 112', 'e ) none of them']", "output": [ "d" ] }, { "id": "task1423-f29acc2223ef4403bbf7f4b87f4f36a4", "input": "Problem: if the sides of a triangle are 30 cm , 28 cm and 14 cm , what is its area ? \nOptions: a ) 196 cm 2 , b ) 187 cm 2 , c ) 178 cm 2 , d ) 189 cm 2 , e ) 176 cm 2", "output": [ "a" ] }, { "id": "task1423-c4c67bb8efd9481ea88b149e0f6863cc", "input": "Problem: the area of a circular field is 13.86 hectares . find the cost of fencing it at the rate of rs . 4.90 per metre . \nOptions: a ) 2399 , b ) 3888 , c ) 2999 , d ) 5808 , e ) 6468", "output": [ "e" ] }, { "id": "task1423-f8687b5c457d4a04bdfdb7fbac04e026", "input": "Problem: cubes with each side one inch long are glued together to form a larger cube . the larger cube ' s face is painted with red color and the entire assembly is taken apart . 25 small cubes are found with no paints on them . how many of unit cubes have at least one face that is painted red ? \nOptions: a ) 64 , b ) 72 , c ) 86 , d ) 98 , e ) 100", "output": [ "e" ] }, { "id": "task1423-40458cf559004d1e96f81327dd9270f1", "input": "Problem: a man walking at the rate of 6 km per hour crosses a square field diagonally in 9 seconds the area of the field is \nOptions: ['a ) 110 sq . m', 'b ) 111.5 aq . m', 'c ) 112.5 sq . m', 'd ) 114 sq . m', 'e ) none of these']", "output": [ "c" ] }, { "id": "task1423-c1a6a702926045998c3ef300fe3daab7", "input": "Problem: the perimeter of a triangle is 48 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ? \nOptions: a ) 87 cm 2 , b ) 28 cm 2 , c ) 98 cm 2 , d ) 26 cm 2 , e ) 60 cm 2", "output": [ "e" ] }, { "id": "task1423-2d760ed6fb7c406bb2bf320ac19cc37a", "input": "Problem: what is the measure of the radius of the circle that circumscribes a triangle whose sides measure 3 , 4 , and 5 ? \nOptions: a ) 3.5 , b ) 3 , c ) 5 , d ) 4 , e ) 2.5", "output": [ "e" ] }, { "id": "task1423-c8c5f21252804e2b8cad024ca19815f3", "input": "Problem: what should be added to 4750 so that it may become a perfect square ? \nOptions: a ) 11 , b ) 15 , c ) 16 , d ) 17 , e ) 18", "output": [ "a" ] }, { "id": "task1423-2f375f3c12f54ac492d42de30b9a66ad", "input": "Problem: triangle atriangle b are similar triangles with areas 1792 units square and 2527 units square respectively . the ratio of there corresponding height would be \nOptions: a ) 9 : 10 , b ) 17 : 19 , c ) 23 : 27 , d ) 16 : 19 , e ) 15 : 23", "output": [ "d" ] }, { "id": "task1423-eb3ef7c790d04f969b8d8917e9196479", "input": "Problem: the length of a rectangle is four times its width . if the area is 100 m 2 what is the length of the rectangle ? \nOptions: a ) 50 m , b ) 40 m , c ) 80 m , d ) 20 m , e ) 70 m", "output": [ "d" ] }, { "id": "task1423-a20b8c87ec6b466e91030a856ff4b20d", "input": "Problem: the area of a square field is 400 km 2 . how long will it take for a horse to run around at the speed of 20 km / h ? \nOptions: a ) 12 h , b ) 10 h , c ) 4 h , d ) 6 h , e ) none of these", "output": [ "c" ] }, { "id": "task1423-1bc7aa051ea94691a68d67d9627a3bdc", "input": "Problem: if the difference between the length and breadth of a rectangle is 23 m and its perimeter is 246 m , what is its area ? \nOptions: a ) 2510 , b ) 3650 , c ) 2530 , d ) 2515 , e ) 2520", "output": [ "b" ] }, { "id": "task1423-6ade4319f6574e96ba6e6f72a6f27888", "input": "Problem: 63 small identical cubes are used to form a large cube . how many more cubes are needed to add one top layer of small cube all over the surface of the large cube ? \nOptions: a ) 64 , b ) 128 , c ) 152 , d ) 216 , e ) 153", "output": [ "e" ] }, { "id": "task1423-cc6f1a775de34e7aa5aab9f4bee022a8", "input": "Problem: a perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer . how many positive integers n are there such that n is less than 100,000 and at the same time n is a perfect square and a perfect cube ? \nOptions: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", "output": [ "d" ] }, { "id": "task1423-b2b46ec59ff94db59b49e9ef769df107", "input": "Problem: the floor of a rectangular room is 21 m long and 12 m wide . the room is surrounded by a veranda of width 2 m on all its sides . the area of the veranda is : \nOptions: a ) 124 m 2 , b ) 128 m 2 , c ) 138 m 2 , d ) 148 m 2 , e ) none of these", "output": [ "d" ] }, { "id": "task1423-bdd28c7fee2942beab673d3386165b55", "input": "Problem: the diagonals of a rhombus are 14 cm and 18 cm . find its area ? \nOptions: a ) 176 , b ) 190 , c ) 150 , d ) 126 , e ) 292", "output": [ "d" ] }, { "id": "task1423-43d129179f3c496c86afae9951d666cd", "input": "Problem: the ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 4800 sq cm . what is the ratio of the width and the area of the rectangle ? \nOptions: ['a ) 1 : 72', 'b ) 1 : 76', 'c ) 1 : 80', 'd ) 1 : 84', 'e ) 1 : 88']", "output": [ "c" ] }, { "id": "task1423-89a51f32757748dfb5c4dbd4983dd16d", "input": "Problem: a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 210 sq . feet , how many feet of fencing will be required ? \nOptions: a ) 34 , b ) 41 , c ) 68 , d ) 88 , e ) none", "output": [ "b" ] }, { "id": "task1423-98f2518f8f8d44a1a33a1021700d7b15", "input": "Problem: the mass of 1 cubic meter of a substance is 300 kilograms under certain conditions . what is the volume , in cubic centimeters , of 1 gram of this substance under these conditions ? ( 1 kilogram = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters ) \nOptions: ['a ) 1.33', 'b ) 1.25', 'c ) 8.0', 'd ) 12.5', 'e ) 80.0']", "output": [ "a" ] }, { "id": "task1423-494b606652224949a0324dbf9cccbfef", "input": "Problem: carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 15 inches by 20 inches and jordan ' s rectangle is 6 inches long , how wide is jordan ' s rectangle , in inches ? \nOptions: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 60", "output": [ "d" ] }, { "id": "task1423-6c1b695e44ee4f8399c07e887cc9d957", "input": "Problem: how many odd numbers between 10 and 2000 are the squares of integers ? \nOptions: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20", "output": [ "e" ] }, { "id": "task1423-b2428f97fbb14f7ba2199078802391b5", "input": "Problem: all the faces of a cube are painted with blue colour . then it is cut into 125 small equal cubes . how many small cubes will be formed having only one face coloured ? \nOptions: a ) 54 , b ) 8 , c ) 16 , d ) 24 , e ) 34", "output": [ "a" ] }, { "id": "task1423-461e07d6e3f841369a33c6148b773041", "input": "Problem: in measuring the sides of a rectangle , one side is taken 20 % in excess and the other 10 % in deficit . find the error per cent in area calculated from the measurement ? \nOptions: ['a ) 12 % deficit', 'b ) 10 % excess', 'c ) 8 % excess', 'd ) 9 % excess', 'e ) none of these']", "output": [ "c" ] }, { "id": "task1423-ca5c18b2047048059d0aa24d31129aec", "input": "Problem: what is the measure of the radius of the circle inscribed in a triangle whose sides measure 8 , 15 and 27 units ? \nOptions: a ) 8.5 units , b ) 6 units , c ) 3 units , d ) 5 units , e ) 2 units", "output": [ "e" ] }, { "id": "task1423-4780ffcc537340b9893bdded8546ea9c", "input": "Problem: what will be the cost of building a fence around a square plot with area equal to 289 sq ft , if the price per foot of building the fence is rs . 54 ? \nOptions: a ) 3672 , b ) 920 , c ) 7290 , d ) 6928 , e ) 3729", "output": [ "a" ] }, { "id": "task1423-b9d911e451eb4c03a625d93c20451501", "input": "Problem: a metallic sheet is of rectangular shape with dimensions 40 m x 30 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m cube ) is : \nOptions: ['a ) 3220 m cube', 'b ) 4140 m cube', 'c ) 2688 m cube', 'd ) 4000 m cube', 'e ) none of these']", "output": [ "c" ] }, { "id": "task1423-4ae5f8bc5f6243a7bc634d726c46f9e9", "input": "Problem: a 3 by 4 rectangle is inscribed in circle . what is the circumference of the circle ? \nOptions: a ) 2.5 π , b ) 3 π , c ) 5 π , d ) 4 π , e ) 10 π", "output": [ "c" ] }, { "id": "task1423-8bc7eaa409ec42f6afcc12692597bd7f", "input": "Problem: the ratio between the length and the breadth of a rectangular plot is 7 : 5 . if the perimeter of the plot is 288 metres , what is its area ? \nOptions: ['a ) 1320 sq . metres', 'b ) 3260 sq . metres', 'c ) 4280 sq . metres', 'd ) 5040 sq . metres', 'e ) none of these']", "output": [ "d" ] }, { "id": "task1423-5c320ef7156d4112a380a50eea4b71fb", "input": "Problem: if abc is a quarter circle and a smaller circle is inscribed in it ; if radius of quarter circle is 1.414 units . find the radius of smaller circle \nOptions: ['a ) 0.586', 'b ) 0.687', 'c ) 0.784', 'd ) 0.874', 'e ) 0.974']", "output": [ "a" ] }, { "id": "task1423-4e5fefd1fe0f40488986a3075ebd022d", "input": "Problem: the side of a square has the length of 6 . what is the area of the region shaded ? \nOptions: ['a ) 48 - 8 π', 'b ) 48 - 6 π', 'c ) 24 + 6 π', 'd ) 16 + 8 π', 'e ) 64 - 8 π']", "output": [ "b" ] }, { "id": "task1423-3de68069078c40cd8444c55c10647227", "input": "Problem: a rectangular grass field is 75 m * 40 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ? \nOptions: ['a ) s . 1350', 'b ) s . 1327', 'c ) s . 1200', 'd ) s . 1397', 'e ) s . 1927']", "output": [ "c" ] }, { "id": "task1423-af13a4af2c304a36b4cab2bc5980ad83", "input": "Problem: the area of the floor of a room is 20 m 2 that of a longer wall 15 m 2 and of the shorter wall 12 m 2 , find the edge of the new cube ? \nOptions: ['a ) 450 m 3', 'b ) 100 m 2', 'c ) 60 m 3', 'd ) 400 m 3', 'e ) 500 m 3']", "output": [ "c" ] }, { "id": "task1423-dcb30ab99cf0497293071ec6cd80fe6f", "input": "Problem: if a rectangle have length 16 cm and diagonal 20 cm . calculate its area . \nOptions: ['a ) 185', 'b ) 132', 'c ) 165', 'd ) 192', 'e ) 212']", "output": [ "d" ] }, { "id": "task1423-12b46d9162e84ed3a05c8f534d7bb9f8", "input": "Problem: a cube is painted red on all faces . it is then cut into 27 equal smaller cubes . how many l cubes are painted on only 2 faces ? \nOptions: a ) 12 , b ) 8 , c ) 6 , d ) 10 , e ) 16", "output": [ "a" ] }, { "id": "task1423-f1f0590a382c436084fbf98c8b90e314", "input": "Problem: a rectangular paper when folded into two congruent parts had a perimeter of 34 cm foer each part folded along one set of sides and the same is 38 cm . when folded along the other set of sides . what is the area of the paper ? \nOptions: ['a ) 140', 'b ) 388', 'c ) 238', 'd ) 119', 'e ) 112']", "output": [ "a" ] }, { "id": "task1423-2da91724922d4c03924eb008018c0e07", "input": "Problem: if the radius of a circle is decreased 10 % , what happens to the area ? \nOptions: a ) 10 % decrease , b ) 19 % decrease , c ) 36 % decrease , d ) 40 % decrease , e ) 50 % decrease", "output": [ "b" ] }, { "id": "task1423-1818bca239f840cbab07fa28431c5790", "input": "Problem: 34 . the side surface of a cylinder is rolled with a rectangular plate . if the perimeter of the circular base is 6 feet , and the diagonal of the rectangular plate was 10 ft . what is height of the of the cylinder ? \nOptions: a ) 7 , b ) 10 , c ) 8 , d ) 12 , e ) 15", "output": [ "c" ] }, { "id": "task1423-957209374ce24f2598db991e2b451cc7", "input": "Problem: the dimensions of a room are 25 feet * 15 feet * 12 feet . what is the cost of white washing the four walls of the room at rs . 4 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ? \nOptions: a ) 4000 , b ) 3624 , c ) 5673 , d ) 4530 , e ) 4566", "output": [ "b" ] }, { "id": "task1423-12492d80ec8546b8b0fda4f1d2bf3dd7", "input": "Problem: 36 people { a 1 , a 2 , . . . , a 36 } meet and shake hands in a circular fashion . in other words , there are totally 36 handshakes involving the pairs , { a 1 , a 2 } , { a 2 , a 3 } , . . . , { a 35 , a 36 } , { a 36 , a 1 } . then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is \nOptions: ['a ) 11', 'b ) 12', 'c ) 13', 'd ) 15', 'e ) 18']", "output": [ "b" ] }, { "id": "task1423-6b165484977f4c1cb664a4d60027a52a", "input": "Problem: the area of a rectangular field is equal to 800 square meters . its perimeter is equal to 120 meters . find the width of this rectangle . \nOptions: a ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) 25", "output": [ "d" ] }, { "id": "task1423-4ccf4ac553f14d5db56ad61543685a45", "input": "Problem: what is the maximum number r of 27 cubic centimetre cubes that can fit in a rectangular box measuring 8 centimetre x 9 centimetre x 12 centimetre ? \nOptions: ['a ) 36', 'b ) 32', 'c ) 24', 'd ) 21', 'e ) 15']", "output": [ "c" ] }, { "id": "task1423-5ebd26365d554ed4a7c3c8d64eec8cab", "input": "Problem: on the xy - coordinate plane , point a lies on the y - axis and point b lies on the x - axis . points a , b , and c form a right triangle with a 90 - degree angle at point c and the triangle has an area of 20 . if ac is parallel to the x - axis , and bc is parallel to the y - axis , which of the following could be the coordinates of point c ? \nOptions: ['a ) ( 8 , - 3 )', 'b ) ( 4 , 5 )', 'c ) ( - 5 , 7 )', 'd ) ( - 2 , - 20 )', 'e ) ( - 15 , - 3 )']", "output": [ "d" ] }, { "id": "task1423-68ea264cb6ca4e3c9cf670733091b21c", "input": "Problem: carmen made a sculpture from small pieces of wood . the sculpture is 2 feet 10 inches tall . carmen places her sculpture on a base that is 2 inches tall . how tall are the sculpture andbase together ? \nOptions: a ) 3.1 feet , b ) 3.2 feet , c ) 3.3 feet , d ) 3.0 feet , e ) 3.5 feet", "output": [ "d" ] }, { "id": "task1423-055b361c344244c19e0ceeac5fe87890", "input": "Problem: find the circumference and area of radius 11 cm . \nOptions: a ) 124 cm ² , b ) 144 cm ² , c ) 380 cm ² , d ) 284 cm ² , e ) 394 cm ²", "output": [ "c" ] }, { "id": "task1423-3d6bea8f5b174f30bdafd749467fdd0f", "input": "Problem: a box measuring 49 inches long by 42 inches wide by 14 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ? \nOptions: a ) 78 , b ) 82 , c ) 84 , d ) 86 , e ) 88", "output": [ "c" ] }, { "id": "task1423-22e00e4910ec4f46954c447bc16b7d7e", "input": "Problem: the area of sector of a circle whose radius is 12 metro and whose angle at the center is 38 ° is ? \nOptions: a ) 30 m 2 , b ) 40 m 2 , c ) 47.7 m 2 , d ) 50 m 2 , e ) 55 m 2", "output": [ "c" ] }, { "id": "task1423-ee2c23b6dbdb4c1398e867965555bd94", "input": "Problem: the radius of a cylindrical vessel is 9 cm and height is 3 cm . find the whole surface of the cylinder ? \nOptions: a ) 308 sq cm , b ) 220 sq cm , c ) 440 sq cm , d ) 132 sq cm , e ) 678.8 sq cm", "output": [ "e" ] }, { "id": "task1423-5db2b512a0da406989122cbfdc5e5371", "input": "Problem: if each edge of a cube is increased by 50 % , find the percentage increase in its surface area \nOptions: ['a ) 125 %', 'b ) 129 %', 'c ) 185 %', 'd ) 725 %', 'e ) 145 %']", "output": [ "a" ] }, { "id": "task1423-aa7df0cf2ac4446cba971594005ef0c3", "input": "Problem: the weight of a hollow sphere is directly dependent on its surface area . the surface area of a sphere is 4 π · r ^ 2 , where r is the radius of the sphere . if a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams , a hollow sphere of radius 0.3 cm made of the same metal would weigh how many q grams ? \nOptions: ['a ) q = 16', 'b ) q = 32', 'c ) 64', 'd ) 128', 'e ) 512']", "output": [ "b" ] }, { "id": "task1423-36fb05ed833e4a5ebb5483f7a0ec105a", "input": "Problem: a rectangular tank needs to be coated with insulation . the tank has dimensions of 3 feet , 6 feet , and 2 feet . each square foot of insulation costs $ 20 . how much will it cost to cover the surface of the tank with insulation ? \nOptions: ['a ) $ 980', 'b ) $ 1060', 'c ) $ 1220', 'd ) $ 1440', 'e ) $ 1650']", "output": [ "d" ] }, { "id": "task1423-10650dbeb42d40ddad9fd650c0004c10", "input": "Problem: what will be the percentage increase in the area of the cube ' s surface if each of the cube ' s edges grows by 60 % ? \nOptions: a ) 150 % , b ) 160 % , c ) 156 % , d ) 158 % , e ) 162 %", "output": [ "c" ] }, { "id": "task1423-8f51b4986fea4a03af480d366b4dc027", "input": "Problem: if the area of a square with sides of length 8 centimeters is equal to the area of a rectangle with a width of 4 centimeters , what is the length of the rectangle , in centimeters ? \nOptions: a ) 4 , b ) 8 , c ) 12 , d ) 16 , e ) 18", "output": [ "d" ] }, { "id": "task1423-7b02ce1cc0c64c80a7da1b82d0ef6139", "input": "Problem: a metallic sheet is of rectangular shape with dimensions 48 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 7 m , the volume of the box ( in m 3 ) is : \nOptions: a ) 4830 , b ) 5236 , c ) 6420 , d ) 8960 , e ) 7960", "output": [ "b" ] }, { "id": "task1423-6b8d02d9de9a4ea2bcbe75313a5fb95c", "input": "Problem: the breath of a rectangle is three - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 2025 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the length is 10 units ? \nOptions: ['a ) 370 sq . units', 'b ) 270 sq . units', 'c ) 170 sq . units', 'd ) 470 sq . units', 'e ) 570 sq . units']", "output": [ "b" ] }, { "id": "task1423-0dae8daff13a4ed49fa0c1f3a976e2eb", "input": "Problem: an error 2 % in excess ismade while measuring the side ofa square . the % of error in the calculated area of the square is ? \nOptions: ['a ) 4.00 %', 'b ) 4.04 %', 'c ) 4.16 %', 'd ) 4.30 %', 'e ) 5 %']", "output": [ "b" ] }, { "id": "task1423-b39d654c0d5e4a41a82801ce1e693037", "input": "Problem: what is the smallest positive integer that can be multiplied by 1,008 to make it a perfect square ? \nOptions: ['a ) 2', 'b ) 3', 'c ) 5', 'd ) 7', 'e ) 11']", "output": [ "d" ] }, { "id": "task1423-de673eb0aa4745b086cd5cb05164f0cb", "input": "Problem: the ratio of males to females in a class is 2 : 3 . the career preferences of the students in the class are represented in a circle graph . if the area of the graph allocated to each career preference is proportional to the number of students who have that career preference , how many degrees of the circle should be used to represent a career that is preferred by one - fourth of the males and one - half of the females in the class ? \nOptions: ['a ) 128', 'b ) 136', 'c ) 144', 'd ) 152', 'e ) 160']", "output": [ "c" ] }, { "id": "task1423-53df81d36de946908ee07ecbe14795cb", "input": "Problem: in may , the groundskeeper at spring lake golf club built a circular green with an area of 80 π square feet . in august , the groundskeeper doubled the distance from the center of the green to the edge of the green . what is the total area of the renovated green ? \nOptions: a ) 160 π , b ) 320 π , c ) 400 π , d ) 540 π , e ) 640 π", "output": [ "b" ] }, { "id": "task1423-afd24a8cd1d04f02a18761de64cc98c0", "input": "Problem: the area of a circular field is 17.56 hectares . find the cost of fencing it at the rate of rs . 6 per metre approximately \nOptions: a ) 4457 , b ) 4567 , c ) 4235 , d ) 4547 , e ) 8915", "output": [ "e" ] }, { "id": "task1423-89bf7decb6684086b4db3a6b772f9d3a", "input": "Problem: if the sum of a number and its square is 72 , what is the number ? \nOptions: a ) 15 , b ) 26 , c ) 8 , d ) 91 , e ) none of these", "output": [ "c" ] }, { "id": "task1423-2e133a80b6a9435784a53d49aa4beb4b", "input": "Problem: the length of a rectangle is two - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 3025 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ? \nOptions: a ) 140 , b ) 150 , c ) 160 , d ) 170 , e ) 220", "output": [ "e" ] }, { "id": "task1423-6f81661804d44f1fa572d81814b84330", "input": "Problem: if the sides of a triangle are 32 cm , 27 cm and 12 cm , what is its area ? \nOptions: a ) 120 cm 2 , b ) 112 cm 2 , c ) 162 cm 2 , d ) 666 cm 2 , e ) 886 cm 2", "output": [ "c" ] }, { "id": "task1423-e0004a64ffba42fb9bbd84b4cafa2051", "input": "Problem: what will be the cost of building a fence around a square plot with area equal to 289 sq ft , if the price per foot of building the fence is rs . 60 ? \nOptions: a ) s . 3944 , b ) s . 3948 , c ) s . 4080 , d ) s . 3965 , e ) s . 3929", "output": [ "c" ] }, { "id": "task1423-6010f390f4974417a837817ff4e7282e", "input": "Problem: the length of a rectangle is one - fourth of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 1225 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ? \nOptions: ['a ) 350 sq . units', 'b ) 250 sq . units', 'c ) 300 sq . units', 'd ) 200 sq . units', 'e ) 100 sq . units']", "output": [ "d" ] }, { "id": "task1423-5244cbbb4c1f472b98bcf8149edde775", "input": "Problem: a metallic sheet is of rectangular shape with dimensions 48 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 5 m , the volume of the box ( in m 3 ) is : \nOptions: a ) 4940 , b ) 5120 , c ) 6420 , d ) 8960 , e ) 7960", "output": [ "a" ] }, { "id": "task1423-1a761dcaf763418b8176d86865ce97d0", "input": "Problem: the length of a rectangle is reduced by 10 % . by what % would the width have to be increased to maintain the original area ? \nOptions: a ) 10 % , b ) 11.1 % , c ) 25 % , d ) 30 % , e ) 35 %", "output": [ "b" ] }, { "id": "task1423-bb746a40266445c196b5e5ca4c23909d", "input": "Problem: the area of a triangle is with base 4.5 m and height 6 m ? \nOptions: a ) 11 m 2 , b ) 10 m 2 , c ) 13.5 m 2 , d ) 19 m 2 , e ) 12.5 m 2", "output": [ "c" ] }, { "id": "task1423-536fcce55dd54a94849c5fe27397c482", "input": "Problem: a rectangular floor is covered by a rug except for a strip 3 meters wide along each of the four edge . if the floor is 12 meters by 10 meters , what is the area of the rug in square meters ? \nOptions: a ) 30 , b ) 28 , c ) 36 , d ) 42 , e ) 24", "output": [ "e" ] }, { "id": "task1423-b9067f7dd00d46f9ba89d5f67c86bef7", "input": "Problem: the area of a rectangular field is equal to 200 square meters . its perimeter is equal to 60 meters . find the width of this rectangle . \nOptions: a ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) 25", "output": [ "b" ] }, { "id": "task1423-1d1e44e64cae4706888bddf0eb090291", "input": "Problem: a man walked diagonally across a square lot . approximately , what was the percent saved by not walking along the edges ? \nOptions: ['a ) 20 %', 'b ) 30 %', 'c ) 40 %', 'd ) 50 %', 'e ) 55 %']", "output": [ "b" ] }, { "id": "task1423-ce8bacc35bc84f878fd192608d28ed19", "input": "Problem: the length of a rectangular garden is three times its width . if the area of the rectangular garden is 588 square meters , then what is the width of the rectangular garden ? \nOptions: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16", "output": [ "c" ] }, { "id": "task1423-2ca9257488904c64b21e1edc8b65655d", "input": "Problem: the ratio of the radius of two circles is 1 : 5 , and then the ratio of their areas is ? \nOptions: a ) 1 : 7 , b ) 2 : 9 , c ) 1 : 25 , d ) 3 : 7 , e ) 3 : 4", "output": [ "c" ] }, { "id": "task1423-f206ebc0eb1047d193fdf58ac75f63e4", "input": "Problem: a full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet . oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck ' s tank is completely filled . if the truck ' s tank has a radius of 8 feet and a height of 10 feet , how far ( in feet ) did the oil level drop in the stationary tank ? \nOptions: a ) 0.008 , b ) 0.08 , c ) 0.064 , d ) 0.64 , e ) 6.4", "output": [ "c" ] }, { "id": "task1423-65e6fff291e64c228eed2eeb867d21f6", "input": "Problem: a cone of height 9 cm with diameter of its base 18 cm is carved out from a wooden solid sphere of radius 9 cm . the percentage of the wood wasted is : \nOptions: ['a ) 45 %', 'b ) 56 %', 'c ) 67 %', 'd ) 75 %', 'e ) none of these']", "output": [ "d" ] }, { "id": "task1423-060dfa1ce5624315a00431740844b408", "input": "Problem: the dimensions of a room are 25 feet * 15 feet * 12 feet . what is the cost of white washing the four walls of the room at rs . 2 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ? \nOptions: a ) s . 4528 , b ) s . 1812 , c ) s . 4527 , d ) s . 4530 , e ) s . 4521", "output": [ "b" ] }, { "id": "task1423-95647ca2e4b2472c94d48667ec88e756", "input": "Problem: the number 46 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ? \nOptions: a ) 17 , b ) 16 , c ) 15 , d ) 10 , e ) 13", "output": [ "d" ] }, { "id": "task1423-88914fe4accc4846bb45469e7d7606f3", "input": "Problem: the area of rectangular field is 460 square metres . if the length is 15 per cent more than the breadth , what is the breadth of the rectangular field ? \nOptions: ['a ) 15 metres', 'b ) 26 metres', 'c ) 34.5 metres', 'd ) can not be determined', 'e ) none of these']", "output": [ "e" ] }, { "id": "task1423-7c94297ff27b480a9b2bec09e0d972a9", "input": "Problem: a solid metallic spherical ball of diameter 6 cm is melted and recast into a cone with diameter of the base as 12 cm . the height of the cone is : \nOptions: ['a ) 8 cm', 'b ) 6 cm', 'c ) 4 cm', 'd ) 3 cm', 'e ) none']", "output": [ "d" ] }, { "id": "task1423-13b07c504d5c4951b375e6fe41679173", "input": "Problem: the area of sector of a circle whose radius is 12 metro and whose angle at the center is 40 ° is ? \nOptions: a ) 53 m 2 , b ) 51 m 2 , c ) 50.2 m 2 , d ) 45 m 2 , e ) 40 m 2", "output": [ "c" ] }, { "id": "task1423-3d2ce7a5ae2b4b0883df72da21cd5e1d", "input": "Problem: two identical circles intersect such that their centers and the points at which they intersect form a square of side 4 cm . what is the area of the region where the two circles intersect ? \nOptions: ['a ) 16 - 4 pi', 'b ) 4 - pi', 'c ) 2 pi - 4', 'd ) 8 pi - 16', 'e ) pi ^ 2 - 4']", "output": [ "d" ] }, { "id": "task1423-b19d490fab7d4ecebd56ec15db3c41f3", "input": "Problem: a box measuring 35 inches long by 20 inches wide by 10 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ? \nOptions: a ) 17 , b ) 18 , c ) 54 , d ) 56 , e ) 864", "output": [ "d" ] }, { "id": "task1423-4a483e6b39934253948e7c8b869e70aa", "input": "Problem: what is the area of a square field whose diagonal of length 26 m ? \nOptions: a ) 287 , b ) 269 , c ) 338 , d ) 200 , e ) 230", "output": [ "c" ] }, { "id": "task1423-4494dce8186044a3a71ee34ba3bd4ea8", "input": "Problem: the cost of the paint is rs . 36.50 per kg . if 1 kg of paint covers 16 sq . ft , how much will it cost to paint outside of a cube having 8 feet each side \nOptions: a ) rs . 962 , b ) rs . 672 , c ) rs . 546 , d ) rs . 876 , e ) none of these", "output": [ "d" ] }, { "id": "task1423-e9dcd9605f3340d6b5a86f4ba4d30e89", "input": "Problem: the area of a circular field is 17.56 hectares . find the cost of fencing it at the rate of rs . 2 per metre approximately \nOptions: a ) 2972 , b ) 4567 , c ) 4235 , d ) 4547 , e ) 4675", "output": [ "a" ] }, { "id": "task1423-042f417095d446518ac106c1e41d88e7", "input": "Problem: a and b are two circles . the radius of a is 5 times as large as the radius of b . what is the ratio between the areas of the circles ? \nOptions: ['a ) 1 : 8 .', 'b ) 1 : 2 .', 'c ) 1 : 4 .', 'd ) 1 : 25 .', 'e ) 1 : 6 .']", "output": [ "d" ] }, { "id": "task1423-5a214431ed9641b296e59002859af97f", "input": "Problem: a parallelogram has a base that is four time the size of it ' s height . the total area of this parallelogram is 2,304 sq ft . what is the height of the parallelogram ? \nOptions: ['a ) 19', 'b ) 23', 'c ) 24', 'd ) 16', 'e ) 17']", "output": [ "c" ] }, { "id": "task1423-7b52e983d54f4274a62ef39fe8b8ff72", "input": "Problem: if the sum of a number and its square is 132 , then what is the number ? \nOptions: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14", "output": [ "b" ] }, { "id": "task1423-7e155765a52a495cbbb96381c59644e4", "input": "Problem: a circle in the coordinate plane passes through points ( - 3 , - 2 ) and ( 2 , 4 ) . what is the smallest possible area of that circle ? \nOptions: a ) 13 π , b ) 15.25 π , c ) 262 √ π , d ) 52 π , e ) 64 π", "output": [ "b" ] }, { "id": "task1423-65e0fb4f76ca4d1d82b470f8c2f682a1", "input": "Problem: carmen made a sculpture from small pieces of wood . the sculpture is 2 feet 6 inches tall . carmen places her sculpture on a base that is 12 inches tall . how tall are the sculpture andbase together ? \nOptions: a ) 3.1 feet , b ) 3.2 feet , c ) 3.3 feet , d ) 3.4 feet , e ) 3.83 feet", "output": [ "e" ] }, { "id": "task1423-65937d97f5954eafacf1cc35e466e796", "input": "Problem: if the radius of a circle that centers at the origin is 5 , how many k points on the circle have integer coordinates ? \nOptions: a ) 4 , b ) 8 , c ) 12 , d ) 15 , e ) 20", "output": [ "c" ] }, { "id": "task1423-43309fd49fda4926be28e54f858c1cbe", "input": "Problem: the side of a rhombus is 28 m and length of one of its diagonals is 12 m . the area of the rhombus is ? \nOptions: a ) 326.2 , b ) 324.2 , c ) 328.2 , d ) 338.2 , e ) 328.9", "output": [ "c" ] }, { "id": "task1423-5c51eda3ce86466b8206b6b514eef330", "input": "Problem: if a square mirror has a 20 - inch diagonal , what is the approximate perimeter w of the mirror , in inches ? \nOptions: a ) 40 , b ) 60 , c ) 80 , d ) 100 , e ) 120", "output": [ "b" ] }, { "id": "task1423-6c13991ebbcb4651b6e375919c04599a", "input": "Problem: what is the maximum number q of 27 cubic centimetre cubes that can fit in a rectangular box measuring 8 centimetre x 9 centimetre x 12 centimetre ? \nOptions: ['a ) 36', 'b ) 32', 'c ) 24', 'd ) 21', 'e ) 15']", "output": [ "c" ] }, { "id": "task1423-adb8372e2b194bc386b5b58c003ae3f5", "input": "Problem: the radius of a cone is 4 m , height 5 m . find the curved surface area ? \nOptions: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9", "output": [ "c" ] }, { "id": "task1423-edf14ddaace64bedaabb2dd7a8df7761", "input": "Problem: find the cube root of 185193 . \nOptions: a ) 33 , b ) 57 , c ) 99 , d ) 17 , e ) 01", "output": [ "b" ] }, { "id": "task1423-e86e5e7fc9164d50b521ff92e958581c", "input": "Problem: a rectangular cube has sides measuring 15 inches long by 12 inches wide by 2 inches high . if the surface area of the rectangle is the same as a cube , what do the sides / walls of the cube measure ? round to the nearest whole number . \nOptions: a ) 7 , b ) 5 , c ) 9 , d ) 6 , e ) 4", "output": [ "c" ] }, { "id": "task1423-aa80bcd171854b5d98004a9cccf4386c", "input": "Problem: the length of a rectangle is halved , while its breadth is tripled . whatis the % change in area ? \nOptions: a ) 30 % , b ) 40 % , c ) 50 percent , d ) 60 % , e ) 70 %", "output": [ "c" ] }, { "id": "task1423-1c6d5b2affb1460ea3f10a2860513ece", "input": "Problem: the diameter of a cylindrical tin is 14 cm and height is 5 cm . find the volume of the cylinder ? \nOptions: a ) 230 , b ) 141 , c ) 66 , d ) 245 , e ) 21", "output": [ "d" ] }, { "id": "task1423-e34c6e083fd2454b822ed9611424fa41", "input": "Problem: a triangle and a parallelogram are constructed on the same base such that their areas are equal . if the altitude of the parallelogram is 100 m , then the altitude of the triangle is . \nOptions: ['a ) 10 √ 2 m', 'b ) 100 m', 'c ) 100 √ 2 m', 'd ) 200 m', 'e ) none']", "output": [ "d" ] }, { "id": "task1423-241182702a134ee2a8afedbcab34d717", "input": "Problem: 8 business executives and 7 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ? \nOptions: a ) 144 , b ) 131 , c ) 115 , d ) 84 , e ) 45", "output": [ "d" ] }, { "id": "task1423-4ccfd6d48b504f0eac5f41ab56924c74", "input": "Problem: if a is the smallest positive integer such that 5880 multiplied by a is the square of an integer , then ya must be \nOptions: a ) 30 , b ) 15 , c ) 12 , d ) 23 , e ) 17", "output": [ "a" ] }, { "id": "task1423-5b551b76659b4c3ea1c66a4ab8f7ec53", "input": "Problem: what is the area of square field whose side of length 5 m ? \nOptions: a ) 80 sq m , b ) 26 sq m , c ) 25 sq m , d ) 45 sq m , e ) 96 sq m", "output": [ "c" ] }, { "id": "task1423-09c9aa14922c4883a079a68a67c83b5e", "input": "Problem: 9 business executives and 7 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ? \nOptions: a ) 144 , b ) 131 , c ) 99 , d ) 90 , e ) 45", "output": [ "c" ] }, { "id": "task1423-4ac54cbba4b44f6e946df7f1a4fcde52", "input": "Problem: the ratio , by volume , of soap to alcohol to water in a certain solution is 2 : 40 : 70 . the solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved . if the altered solution will contain 100 cubic centimeters of alcohol , how many cubic centimeters of water will it contain ? \nOptions: a ) 500 , b ) 600 , c ) 650 , d ) 700 , e ) 720", "output": [ "d" ] }, { "id": "task1423-82139050a9ef43c2a8424ac9177f494e", "input": "Problem: how many diagonals does a polygon with 17 sides have , if one of its vertices does not connect to any diagonal ? \nOptions: a ) 102 , b ) 104 , c ) 110 , d ) 90 , e ) 84", "output": [ "b" ] }, { "id": "task1423-86ff9848a54e4c4d9d3db75df19b21cf", "input": "Problem: if n is the smallest integer such that 108 times n is the square of an integer , what is the value of n ? \nOptions: a ) 2 , b ) 3 , c ) 6 , d ) 12 , e ) 24", "output": [ "a" ] }, { "id": "task1423-482c492cf83341a2b8a6261a91d6b3ae", "input": "Problem: the largest four digit number which is a perfect cube , is : \nOptions: a ) 7000 , b ) 8000 , c ) 9261 , d ) 9999 , e ) none of these", "output": [ "c" ] }, { "id": "task1423-219182251db24abbbd466b027c9411e5", "input": "Problem: the parameter of a square is equal to the perimeter of a rectangle of length 8 cm and breadth 6 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . \nOptions: a ) 23.56 , b ) 23.59 , c ) 23.55 , d ) 23.53 , e ) 11.0", "output": [ "e" ] }, { "id": "task1423-271c08b0db904268ab0471930690b0f3", "input": "Problem: the volume of a rectangular swimming pool is 840 cubic meters and water is flowing into the swimming pool . if the surface level of the water is rising at the rate of 0.5 meters per minute , what is the rate r , in cubic meters per minutes , at which the water is flowing into the swimming pool ? \nOptions: a ) 0.125 , b ) 0.25 , c ) 0.5 , d ) 0.75 , e ) not enough information to determine the rate", "output": [ "e" ] }, { "id": "task1423-ed8f73f5cf9d4439ac66ced61aaef060", "input": "Problem: . if the sides of two cubes are in the ratio 3 : 1 the ratio of their total surface area is ? \nOptions: ['a ) 3 : 1', 'b ) 8 : 1', 'c ) 9 : 1', 'd ) 12 : 1', 'e ) 9 : 1']", "output": [ "c" ] }, { "id": "task1423-ba3388deebf64a2aa3edb880621efe5b", "input": "Problem: the perimeter of an equilateral triangle is 45 . if one of the side is the side of an isoceles triangle of perimeter 40 then what is the lenght of base of isoceles triangle . \nOptions: a ) 10 units , b ) 20 units , c ) 30 units , d ) 40 units , e ) 15 units", "output": [ "a" ] }, { "id": "task1423-c325856128d147999a750408864a26f0", "input": "Problem: the parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 12 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) \nOptions: a ) 22 cm , b ) 47.14 cm , c ) 84.92 cm , d ) 94.94 cm , e ) 23.57 cm", "output": [ "a" ] }, { "id": "task1423-97dc71202e004b02935608a8e6590d5b", "input": "Problem: marla is hanging a banner diagonally across a rectangular room . the length of the room is 3 feet shorter than its width . if the total area of the room is 130 square feet , what is the length of the banner ( in feet ) ? \nOptions: ['a ) between 16 and 17', 'b ) between 17 and 18', 'c ) between 18 and 19', 'd ) between 19 and 20', 'e ) between 20 and 21']", "output": [ "a" ] }, { "id": "task1423-6d386a09b57a41da90204ebbe41abf85", "input": "Problem: what is the smallest positive integer that can be multiplied by 605 to make it a perfect square ? \nOptions: a ) 2 , b ) 3 , c ) 5 , d ) 7 , e ) 11", "output": [ "c" ] }, { "id": "task1423-e7b7170be02e4e2bb03b5b86730365cc", "input": "Problem: the length of a rectangle is increased by 20 % and its breadth is decreased by 20 % . what is the effect on its area ? \nOptions: a ) 1288 , b ) 9600 , c ) 1000 , d ) 10000 , e ) 2887", "output": [ "b" ] }, { "id": "task1423-c33a1178235b410da6af65dcbf0a3e3f", "input": "Problem: in may , the groundskeeper at spring lake golf club built a circular green with an area of 95 π square feet . in august , the groundskeeper doubled the distance from the center of the green to the edge of the green . what is the total area of the renovated green ? \nOptions: ['a ) 190 π', 'b ) 210 π', 'c ) 240 π', 'd ) 320 π', 'e ) 380 π']", "output": [ "e" ] }, { "id": "task1423-134f4add46344598a29c22b0209fdaf6", "input": "Problem: an equilateral triangle t 2 is formed by joining the mid points of the sides of another equilateral triangle t 1 . a third equilateral triangle t 3 is formed by joining the mid - points of t 2 and this process is continued indefinitely . if each side of t 1 is 40 cm , find the sum of the perimeters of all the triangles . \nOptions: ['a ) 180 cm', 'b ) 220 cm', 'c ) 240 cm', 'd ) 270 cm', 'e ) 300 cm']", "output": [ "c" ] }, { "id": "task1423-28ded4f2098c446cb113995e381a88f1", "input": "Problem: what is the % change in the area of a rectangle when its length increases by 60 % and its width decreases by 60 % ? \nOptions: a ) 0 % , b ) 20 % increase , c ) 36 % decrease , d ) 1 % decrease , e ) insufficient data", "output": [ "c" ] }, { "id": "task1423-7bb8a7cd082b48ca857dd0e9fc8ecab0", "input": "Problem: the width of a rectangular hall is ½ of its length . if the area of the hall is 288 sq . m , what is the difference between its length and breadth ? \nOptions: a ) 8 m , b ) 10 m , c ) 12 m , d ) 15 m , e ) 17 m", "output": [ "c" ] }, { "id": "task1423-795954eb85d74a8caa08cbf187d17f91", "input": "Problem: if the sum of a number and its square is 182 , what is the number ? \nOptions: a ) 15 , b ) 26 , c ) 28 , d ) 91 , e ) none of these", "output": [ "e" ] }, { "id": "task1423-7757109a6ca94289a5324d162cccdbc9", "input": "Problem: find the circumference and area of radius 13 cm . \nOptions: a ) 124 cm ² , b ) 531 cm ² , c ) 354 cm ² , d ) 584 cm ² , e ) 594 cm ²", "output": [ "b" ] }, { "id": "task1423-1cf1d23ee931470f92fec1cc1d962ae3", "input": "Problem: the dimensions of a room are 25 feet * 15 feet * 12 feet . what is the cost of white washing the four walls of the room at rs . 8 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ? \nOptions: ['a ) s . 4529', 'b ) s . 4586', 'c ) s . 7248', 'd ) s . 4530', 'e ) s . 4528']", "output": [ "c" ] }, { "id": "task1423-39646d03d00d445eb94a2a47d3299139", "input": "Problem: find the area of a parallelogram with base 36 cm and height 24 cm ? \nOptions: a ) 760 , b ) 284 , c ) 288 , d ) 864 , e ) 820", "output": [ "d" ] }, { "id": "task1423-8f19519090ed492286bb3d3f4d376072", "input": "Problem: in two triangle , the ratio of the areas is 4 : 3 and that of their heights is 3 : 4 the ratio of their bases is \nOptions: ['a ) 16 : 9', 'b ) 9 : 16', 'c ) 9 : 12', 'd ) 16 : 12', 'e ) 4 : 12']", "output": [ "a" ] }, { "id": "task1423-6a863515dda1470392f79f1230496b6b", "input": "Problem: find the area of a parallelogram with base 25 cm and height 15 cm ? \nOptions: a ) 295 cm 2 , b ) 385 cm 2 , c ) 275 cm 2 , d ) 375 cm 2 , e ) 285 cm 2", "output": [ "d" ] }, { "id": "task1423-2a0f5244d9ac4e85ae23cbf49b403196", "input": "Problem: how many odd numbers between 10 and 1400 are the squares of integers ? \nOptions: a ) 14 , b ) 17 , c ) 20 , d ) 23 , e ) 26", "output": [ "b" ] }, { "id": "task1423-d310f92eb61347acb45e0cd1ef64c502", "input": "Problem: each side of a rectangle is increased by 100 % . by what percentage does the area increase ? \nOptions: a ) 300 % , b ) 400 % , c ) 500 % , d ) 200 % , e ) 600 %", "output": [ "a" ] }, { "id": "task1423-6b823ef3ef944568b32397eec95cc565", "input": "Problem: a rectangular tank needs to be coated with insulation . the tank has dimensions of 4 feet , 5 feet , and 2 feet . each square foot of insulation costs $ 20 . how much will it cost to cover the surface of the tank with insulation ? \nOptions: a ) $ 1520 , b ) $ 1640 , c ) $ 1780 , d ) $ 1850 , e ) $ 1960", "output": [ "a" ] }, { "id": "task1423-f531452acb404a33a9a81f5fe05cd30b", "input": "Problem: in triangle pqr , the angle q = 90 degree , pq = 4 cm , qr = 8 cm . x is a variable point on pq . the line through x parallel to qr , intersects pr at y and the line through y , parallel to pq , intersects qr at z . find the least possible length of xz \nOptions: a ) 1.2 cm , b ) 2.4 cm , c ) 4.8 cm , d ) 2.16 cm , e ) 3.2 cm", "output": [ "e" ] }, { "id": "task1423-fdaebfbe8e8e44f894ffe8d786c5c463", "input": "Problem: the length of a rectangle is two - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 1225 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 12 units ? \nOptions: a ) 140 sq . units , b ) 170 sq . units , c ) 190 sq . units , d ) 168 sq . units , e ) 149 sq . units", "output": [ "d" ] }, { "id": "task1423-d1a702bda2a5476e937d64089b18d343", "input": "Problem: the perimeter of an isosceles right triangle is 10 + 10 sq rt 2 . what is the length of the hypotenuse of the triangle ? \nOptions: a ) 5 , b ) 6 , c ) 7.07 , d ) 8 , e ) 9", "output": [ "c" ] }, { "id": "task1423-e6b174d5c8344cbdb48c41c853c57534", "input": "Problem: the length of a rectangle is twice its breadth . if its length is decreased by 5 cm and breadth is increased by 5 cm , the area of the rectangle is increased by 70 sq . cm . find the length of the rectangle . \nOptions: a ) 12 cm , b ) 14 cm , c ) 16 cm , d ) 18 cm , e ) 20 cm", "output": [ "d" ] }, { "id": "task1423-755d446a93d445e694621dcc7dc5310e", "input": "Problem: the largest six digit number which is a perfect cube , is : \nOptions: a ) 970299 , b ) 907289 , c ) 992289 , d ) 900279 , e ) 999999", "output": [ "a" ] }, { "id": "task1423-dfb0c82b932340b9bd9deb32073ef58f", "input": "Problem: if the volume of two cubes are in the ratio 27 : 8 , the ratio of their edges is : \nOptions: a ) 3 : 1 , b ) 3 : 2 , c ) 3 : 5 , d ) 3 : 7 , e ) none of these", "output": [ "b" ] }, { "id": "task1423-8f0fa277253f49a1bc9d0c5a0b870b53", "input": "Problem: a cubical block of metal weighs 7 pounds . how much will another cube of the same metal weigh if its sides are twice as long ? \nOptions: a ) 48 , b ) 32 , c ) 24 , d ) 56 , e ) 12", "output": [ "d" ] }, { "id": "task1423-6e37acee691744b2a3346527261764c4", "input": "Problem: three rugs have a combined area of 196 square meters . by overlapping the rugs to cover floor area of 140 square meters , the area that is covered by exactly two layers of rug is 24 square meters . what is the area that is covered with three layers of rug ? \nOptions: a ) 15 square meters , b ) 20 square meters , c ) 24 square meters , d ) 28 square meters , e ) 30 square meters", "output": [ "a" ] }, { "id": "task1423-c66fac98c5b246c9b5b32c64ca0f8d53", "input": "Problem: what positive number , when squared , is equal to the cube of the positive square root of 12 ? \nOptions: a ) 64 , b ) 32 , c ) 8 , d ) 4 , e ) 2", "output": [ "d" ] }, { "id": "task1423-c9b3822da475473fa8de03b5841a9919", "input": "Problem: the area of a square is equal to 2 times the area of a rectangle of dimensions 8 cm * 64 cm . what is the perimeter of the square ? \nOptions: a ) 482 , b ) 268 , c ) 800 , d ) 128 , e ) 632", "output": [ "d" ] }, { "id": "task1423-7349bfd3a3c14996ac7201f2199ef3ba", "input": "Problem: if the perimeter of square region q and the perimeter of rectangular region r are equal and the sides of r are in the ratio 2 : 3 then the ratio of the area of r to the area of q \nOptions: ['a ) 25 : 16', 'b ) 24 : 25', 'c ) 5 : 6', 'd ) 4 : 5', 'e ) 4 : 9']", "output": [ "b" ] }, { "id": "task1423-267b9f6ed4aa4efd8b8bf7734ff05891", "input": "Problem: the area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm . what is the perimeter of the square ? \nOptions: a ) 802 , b ) 800 , c ) 829 , d ) 389 , e ) 245", "output": [ "b" ] }, { "id": "task1423-17201895e6ec4f7a873db0f618cdbb2f", "input": "Problem: 30 square stone slabs of equal size were needed to cover a floor area of 120 sq . m . find the length of each stone slab ? \nOptions: ['a ) 120 cm', 'b ) 200 cm', 'c ) 88 cm', 'd ) 666 cm', 'e ) 776 cm']", "output": [ "b" ] }, { "id": "task1423-1c52a4424413495e856430a792468815", "input": "Problem: find the area of a parallelogram with base 32 cm and height 15 cm . \nOptions: a ) 200 , b ) 384 , c ) 345 , d ) 480 , e ) 242", "output": [ "d" ] }, { "id": "task1423-af5c7238edf34f83932d5c2f84068f60", "input": "Problem: three table runners have a combined area of 224 square inches . by overlapping the runners to cover 80 % of a table of area 175 square inches , the area that is covered by exactly two layers of runner is 24 square inches . what is the area of the table that is covered with three layers of runner ? \nOptions: a ) 18 square inches , b ) 20 square inches , c ) 24 square inches , d ) 28 square inches , e ) 30 square inches", "output": [ "e" ] }, { "id": "task1423-48353b83e18049d58a28b53b826a287f", "input": "Problem: carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 15 inches by 24 inches and jordan ' s rectangle is 8 inches long , how wide is jordan ' s rectangle , in inches ? \nOptions: a ) 30 , b ) 35 , c ) 40 , d ) 45 , e ) 50", "output": [ "d" ] }, { "id": "task1423-e948d3ebea9f4024a5d81cd35bc7ddb2", "input": "Problem: if the sides of a rectangle are increased by 15 % , what is the percentage increase in the area ? \nOptions: a ) 32.25 % , b ) 40 % , c ) 37.50 % , d ) 36.75 % , e ) 32 %", "output": [ "a" ] }, { "id": "task1423-e82542f6bb67440fbfd87531e5114b9d", "input": "Problem: the surface area of a cube is 1734 sq . cm . find its volume \nOptions: ['a ) 2334 cubic . cm', 'b ) 3356 cubic . cm', 'c ) 4913 cubic . cm', 'd ) 3478 cubic . cm', 'e ) none of these']", "output": [ "c" ] }, { "id": "task1423-1fea88a032b947abb165c156374c1bf1", "input": "Problem: one side of a rectangular field is 15 m and one of its diagonals is 17 m . find the area of the field in meter square \nOptions: a ) 100 , b ) 110 , c ) 120 , d ) 130 , e ) 140", "output": [ "c" ] }, { "id": "task1423-aa89044112ab409089d84f42b3d0db8b", "input": "Problem: a rectangular field is to be fenced on three sides leaving a side of 30 feet uncovered . if the area of the field is 720 sq . feet , how many feet of fencing will be required ? \nOptions: a ) 78 , b ) 40 , c ) 68 , d ) 88 , e ) none", "output": [ "a" ] }, { "id": "task1423-f9cf907033eb4d4db28896ef6ddd0e8b", "input": "Problem: a right triangle with sides 3 cm , 4 cm and 5 cm is rotated about the side of 3 cm to form a cone . the volume of the cone so formed is \nOptions: ['a ) 12 π cm 3', 'b ) 15 π cm 3', 'c ) 16 π cm 3', 'd ) 20 π cm 3', 'e ) none']", "output": [ "a" ] }, { "id": "task1423-f6809c22fe8a4bfabba9878e9076773e", "input": "Problem: the area of a rectangular plot is 21 times its breadth . if the difference between the length and the breadth is 10 metres , what is its breadth ? \nOptions: a ) 10 metres , b ) 5 metres , c ) 11 metres , d ) data inadequate , e ) none of these", "output": [ "c" ] }, { "id": "task1423-188ea55fb54e4eeda44c0a11f87874f8", "input": "Problem: difference between the length & breadth of a rectangle is 26 m . if its perimeter is 208 m , then the ratio of area and perimeter is ? ? we have : ( l - b ) = 26 and 2 ( l + b ) = 208 or ( l + b ) = 104 ? \nOptions: a ) 315 : 26 , b ) 315 : 25 , c ) 315 : 30 , d ) 415 : 35 , e ) 425 : 35", "output": [ "a" ] }, { "id": "task1423-5222461ca4c84e8f90862bb79f316e32", "input": "Problem: if circles x and y have the same area and circle x has a circumference of 10 π , half of the radius of circle y is : \nOptions: a ) 16 , b ) 8 , c ) 4 , d ) 2.5 , e ) 1", "output": [ "d" ] }, { "id": "task1423-870b96004b9e4c2f9d2e2c0409a0c552", "input": "Problem: the side of a rhombus is 20 m and length of one of its diagonals is 16 m . the area of the rhombus is ? \nOptions: a ) 223.28 , b ) 293.28 , c ) 293.78 , d ) 291.28 , e ) 193.28", "output": [ "b" ] }, { "id": "task1423-56e61d66ddda4414b8c68bd8052c3c01", "input": "Problem: a football field is 9600 square yards . if 800 pounds of fertilizer are spread evenly across the entire field , how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards ? \nOptions: a ) 450 , b ) 600 , c ) 750 , d ) 2400 , e ) 300", "output": [ "e" ] }, { "id": "task1423-6cf977875d644a89bde76a5a6f88ca0f", "input": "Problem: the radius of a cylinder is 2 r units and height is 3 r units . find the curved surface ? \nOptions: a ) 18 π r 2 , b ) 12 π r 2 , c ) 3 π r 2 , d ) 6 π r 2 , e ) 9 π r 2", "output": [ "b" ] }, { "id": "task1423-67eb6e2e3a394828814b585503fc256c", "input": "Problem: a tailor trims 7 feet from opposite edges of a square piece of cloth , and 5 feet from the other two edges . if 45 square feet of cloth remain , what was the length of a side of the original piece of cloth ? \nOptions: a ) 13 , b ) 15 , c ) 17 , d ) 19 , e ) 21", "output": [ "d" ] }, { "id": "task1423-f5286f348c6c4f9b83d41335102113db", "input": "Problem: the number 61 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ? \nOptions: a ) 17 , b ) 16 , c ) 15 , d ) 14 , e ) 13", "output": [ "e" ] }, { "id": "task1423-154c8a1cf5c549dba93b70cdfefc92f2", "input": "Problem: a rectangular photograph is surrounded by a border that is 1 inch wide on each side . the total area of the photograph and the border is m square inches . if the border had been 6 inches wide on each side , the total area would have been ( m + 200 ) square inches . what is the perimeter of the photograph , in inches ? \nOptions: a ) 8 , b ) 12 , c ) 16 , d ) 20 , e ) 24", "output": [ "b" ] }, { "id": "task1423-be2331d88d4f402c8917707e0ac302ec", "input": "Problem: a powder tin has a square base with side 8 cm and height 14 cm . another tin has a circular base with diameter 8 cm and height 14 cm . the difference in their capacities is : \nOptions: ['a ) 168 cm ³', 'b ) 192 cm ³', 'c ) 228 cm ³', 'd ) 236 cm ³', 'e ) none']", "output": [ "b" ] }, { "id": "task1423-80d20c3235bb4312960d85e9f6ec5a00", "input": "Problem: one side of a rectangle is 3 cm shorter than the other side . if we increase the length of each side by 1 cm , then the area of the rectangle will increase by 14 cm 2 . find the lengths of all sides . \nOptions: a ) 10 and 3 , b ) 7 and 10 , c ) 10 and 7 , d ) 3 and 10 , e ) 8 and 5", "output": [ "e" ] }, { "id": "task1423-6331728c40f74a4c93be71c1804e2bd3", "input": "Problem: the number 110 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ? \nOptions: a ) 18 , b ) 16 , c ) 15 , d ) 14 , e ) 13", "output": [ "a" ] }, { "id": "task1423-0c537a6cc5164b0abbd0698e65fef60e", "input": "Problem: in a triangle , one side is 6 cm and another side is 8 cm . which of the following can be the perimeter of the triangle ? \nOptions: ['a ) 22 .', 'b ) 25 .', 'c ) 30 .', 'd ) 32 .', 'e ) 34 .']", "output": [ "a" ] }, { "id": "task1423-be146a7c2341461ba7701346cde82e0c", "input": "Problem: the diagonals of a rhombus are 30 cm and 12 cm . find its area ? \nOptions: a ) 176 , b ) 190 , c ) 180 , d ) 278 , e ) 292", "output": [ "c" ] }, { "id": "task1423-163e553e7d8244f78b2e948d4c4adcc7", "input": "Problem: a diagonal of a polygon is an segment between two non - adjacent vertices of the polygon . how many diagonals does a regular 20 - sided polygon have ? \nOptions: ['a ) 875', 'b ) 170', 'c ) 1425', 'd ) 2025', 'e ) 2500']", "output": [ "b" ] }, { "id": "task1423-a4c9748499744a6386d07638f41710d0", "input": "Problem: a specialized type of sand consists of 40 % mineral x by volume and 60 % mineral y by volume . if mineral x weighs 4 grams per cubic centimeter and mineral y weighs 3 grams per cubic centimeter , how many grams does a cubic meter of specialized sand combination weigh ? ( 1 meter = 100 centimeters ) \nOptions: ['a ) 5 , 500,000', 'b ) 2 , 400,000', 'c ) 55,000', 'd ) 28,000', 'e ) 280']", "output": [ "b" ] }, { "id": "task1423-385672a23ade4ae382138651e4c85ce4", "input": "Problem: the ratio , by volume , of soap to alcohol to water in a certain solution is 2 : 50 : 100 . the solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved . if the altered solution will contain 100 cubic centimeters of alcohol , how many cubic centimeters of water will it contain ? \nOptions: a ) 50 , b ) 200 , c ) 400 , d ) 625 , e ) 800", "output": [ "e" ] }, { "id": "task1423-9dc85728da1e4bcf92951c81214de60a", "input": "Problem: the area of a triangle is with base 10 m and height 10 m ? \nOptions: a ) 11 , b ) 10 , c ) 50 , d ) 122 , e ) 12", "output": [ "c" ] }, { "id": "task1423-83b7e2b873b940bca92818e796b4689d", "input": "Problem: the number 70 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ? \nOptions: a ) 17 , b ) 16 , c ) 15 , d ) 14 , e ) 13", "output": [ "d" ] }, { "id": "task1423-f86a88fa4d964d809161f075f8f2774e", "input": "Problem: how can a cake ( circular ) be cut into 8 pieces by making just 3 cuts ? \nOptions: ['a ) 21', 'b ) 787', 'c ) 37', 'd ) 26', 'e ) 01']", "output": [ "a" ] }, { "id": "task1423-4b98fb0622d447f0b115052a5959b109", "input": "Problem: the perimeters of 2 squares are 40 cm and 32 cm . find the perimeter of a third square whose area is equal to the difference of the areas of the two squares ? \nOptions: a ) 20 cm , b ) 24 cm , c ) 32 cm , d ) 28 cm , e ) 30 cm", "output": [ "b" ] }, { "id": "task1423-31a4a965c0a9479b947171eb0230b85f", "input": "Problem: three interviewers , a , b , and c are interviewing 30 applicants . only with three interviewers ' admission can an applicant be admitted . if interviewer a admitted 10 applicants , b admitted 12 applicants , and c admitted 15 applicants , at least how many applicants get the admission ? \nOptions: a ) 6 , b ) 2 , c ) 0 , d ) 8 , e ) 12", "output": [ "c" ] }, { "id": "task1423-c1c5b597799c4a5f890e29736991172e", "input": "Problem: the ratio of male to female in a class is 2 : 3 . the career preference of the students in the class are to be represented in a circle graph . if the area of the graph allocated to each career preference is to be proportional to the number of students who have that career preference , how many degrees of the circle should be used to represent a career that is preferred by one fourth of the males and 3 / 4 th of the females in the class ? \nOptions: ['a ) a ) 160 degree', 'b ) b ) 198 degree', 'c ) c ) 191 degree', 'd ) d ) 192 degree', 'e ) e ) 204 degree']", "output": [ "b" ] }, { "id": "task1423-bfac24bc65614b55b8c8cc1ba15acdfc", "input": "Problem: the volumes of two cones are in the ratio 1 : 30 and the radii of the cones are in the ratio of 1 : 2 . what is the length of the wire ? \nOptions: a ) 6 : 5 , b ) 6 : 9 , c ) 6 : 2 , d ) 2 : 2 , e ) 2 : 8", "output": [ "a" ] }, { "id": "task1423-8902babff7fc4b4fb22340fd218e1ff9", "input": "Problem: the floor of a rectangular room is 17 m long and 12 m wide . the room is surrounded by a veranda of width 2 m on all its sides . the area of the veranda is : \nOptions: a ) 124 m 2 , b ) 132 m 2 , c ) 148 m 2 , d ) 152 m 2 , e ) none of these", "output": [ "b" ] }, { "id": "task1423-45e1d0120a6d4246991b2e789e050353", "input": "Problem: a cubical block of metal weighs 6 pounds . how much will another cube of the same metal weigh if its sides are twice as long ? \nOptions: a ) 48 , b ) 99 , c ) 266 , d ) 28 , e ) 17", "output": [ "a" ] }, { "id": "task1423-9e174725f36c4e039fca72888088de0d", "input": "Problem: a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 390 sq . feet , how many feet of fencing will be required ? \nOptions: ['a ) 34', 'b ) 59', 'c ) 68', 'd ) 88', 'e ) 92']", "output": [ "b" ] }, { "id": "task1423-391841897a334f4cb31309110d3e12fe", "input": "Problem: in a certain circle there are 9 points . what is the number of the triangles connecting 3 points of the 9 points ? \nOptions: a ) 12 , b ) 84 , c ) 108 , d ) 120 , e ) 132", "output": [ "b" ] }, { "id": "task1423-939612b84cc74cc98d8daae5bd6ec96f", "input": "Problem: what is the area of square field whose side of length 13 m ? \nOptions: a ) 169 , b ) 196 , c ) 266 , d ) 288 , e ) 261", "output": [ "a" ] }, { "id": "task1423-6f518a612596463288b602c474fd9e2d", "input": "Problem: a rectangular wall is covered entirely with two kinds of decorative tiles : regular and jumbo . 1 / 3 of the tiles are jumbo tiles , which have a length three times that of regular tiles and have the same ratio of length to width as the regular tiles . if regular tiles cover 50 square feet of the wall , and no tiles overlap , what is the area of the entire wall ? \nOptions: a ) 160 , b ) 275 , c ) 360 , d ) 440 , e ) 560", "output": [ "b" ] }, { "id": "task1423-47832a7fdf9d4a14816e37d98d732361", "input": "Problem: a certain farmer pays $ 30 per acre per month to rent farmland . how much does the farmer pay per month to rent a rectangular plot of farmland that is 370 feet by 605 feet ? ( 43,560 square feet = 1 acre ) \nOptions: a ) $ 5,330 , b ) $ 3,360 , c ) $ 1,350 , d ) $ 360 , e ) $ 154.1", "output": [ "e" ] }, { "id": "task1423-329052287c1a4694977e907f759a2128", "input": "Problem: the width of a rectangular hall is ½ of its length . if the area of the hall is 578 sq . m , what is the difference between its length and breadth ? \nOptions: a ) 8 m , b ) 10 m , c ) 12 m , d ) 15 m , e ) 17 m", "output": [ "e" ] }, { "id": "task1423-ae34c5e9dd694306abe42e2f21ae8e6e", "input": "Problem: the diagonals of a rhombus are 11 cm and 20 cm . find its area ? \nOptions: a ) 329 , b ) 288 , c ) 150 , d ) 238 , e ) 110", "output": [ "e" ] }, { "id": "task1423-c0521ae92375433facfb8c022d71c682", "input": "Problem: a rectangular block has the dimensions 5 x 6 x 7 cm it is dropped into a cylindrical vessel of radius 6 cm and height 10 cm . if the level of the fluid in the cylinder rises by 4 cm , what portion of the block is immersed in the fluid ? \nOptions: ['a ) 22 / 7 x 24 / 35', 'b ) 22 / 7 x 36 x 4', 'c ) 22 / 7 x 36 / 5', 'd ) 22 / 7 x 37 / 21', 'e ) 22 / 7 x 32 / 21']", "output": [ "a" ] }, { "id": "task1423-96699326230843bfbb2fbf00d02cfc4d", "input": "Problem: the diagonal of a rhombus are 65 m and 60 m . its area is : \nOptions: a ) 1940 , b ) 1950 , c ) 1960 , d ) 1990 , e ) 1980", "output": [ "b" ] }, { "id": "task1423-b30c0caa36364e2395254dd165e14be1", "input": "Problem: if each side of a rectangle is increased by 50 % with the length being double the width , find the percentage change in its area ? \nOptions: a ) 284 % , b ) 276 % , c ) 265.25 % , d ) 284.5 % , e ) 275 %", "output": [ "e" ] }, { "id": "task1423-3489c9e26e5345e9b4e2c9df545a065a", "input": "Problem: the radius of a cylindrical vessel is 7 cm and height is 6 cm . find the whole surface of the cylinder ? \nOptions: a ) 281 , b ) 771 , c ) 440 , d ) 767 , e ) 572", "output": [ "e" ] }, { "id": "task1423-4d719f288e4544678a8cd2b4497b6378", "input": "Problem: if the sides of a triangle are 21 cm , 19 cm and 5 cm , what is its area ? \nOptions: a ) 42.25 cm 2 , b ) 57.5 cm 2 , c ) 42.5 cm 2 , d ) 47.5 cm 2 , e ) 52.5 cm 2", "output": [ "d" ] }, { "id": "task1423-e574c738e7044685a6174f8444d6954b", "input": "Problem: an artist wishes to paint a circular region on a square poster that is 2.4 feet on a side . if the area of the circular region is to be 1 / 2 the area of the poster , what must be the radius of the circular region in feet ? \nOptions: a ) 1 / pi , b ) sqrt ( 2.88 / pi ) , c ) 1 , d ) 2 / sqrt ( pi ) , e ) pi / 2", "output": [ "b" ] }, { "id": "task1423-2796d05a5717437bac07479005a4ab40", "input": "Problem: triangle atriangle b are similar triangles with areas 2268 units square and 2527 units square respectively . the ratio of there corresponding height would be \nOptions: a ) 9 : 10 , b ) 18 : 19 , c ) 23 : 27 , d ) 13 : 17 , e ) 15 : 23", "output": [ "b" ] }, { "id": "task1423-bbd2953e73d1446a94a605776903e8e2", "input": "Problem: a cube is painted red on all faces . it is then cut into 27 equal smaller cubes . how many h cubes are painted on only 2 faces ? \nOptions: a ) 12 , b ) 8 , c ) 6 , d ) 10 , e ) 16", "output": [ "a" ] }, { "id": "task1423-9a5d595a05a241d488964dbc043c3c95", "input": "Problem: a square mirror has exactly half the area of the rectangular wall on which it is hung . if each side of the mirror is 24 inches and the width of the wall is 42 inches , what is the length of the wall , in inches ? \nOptions: a ) 21.4 , b ) 23.4 , c ) 25.4 , d ) 26.4 , e ) 27.4", "output": [ "e" ] }, { "id": "task1423-f373c120103440de9707635b15db3492", "input": "Problem: a cube of edge 15 cm is imersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 20 cm * 15 cm , find the rise in waer level . \nOptions: ['a ) 11.25 cm .', 'b ) 12.25 cm', 'c ) 13.25 cm', 'd ) 14.25 cm', 'e ) none of these']", "output": [ "a" ] }, { "id": "task1423-802d66236bfa41ccac63b7e4c17d6d4e", "input": "Problem: each side of a rectangular field diminished by 40 % . by how much per cent is the area of the field diminished ? \nOptions: ['a ) 32', 'b ) 64', 'c ) 25', 'd ) 16', 'e ) none']", "output": [ "b" ] }, { "id": "task1423-052c3d44fe0f4b0586c56aa76e8f0a38", "input": "Problem: a rectangular garden is 12 m by 5 m , what is its area ? \nOptions: ['a ) 12 square meters', 'b ) 5 square meters', 'c ) 44 square meters', 'd ) 60 square meters', 'e ) 22 square meters']", "output": [ "d" ] }, { "id": "task1423-0f2b32a7b6754344acf9c35edde15d87", "input": "Problem: the length of a rectangle is 18 cm and its breadth is 10 cm . when the length is increased to 25 cm , what will be the breadth of the rectangle if the area remains the same ? \nOptions: ['a ) 7 cm', 'b ) 7.1 cm', 'c ) 7.2 cm', 'd ) 7.3 cm', 'e ) none of these']", "output": [ "c" ] }, { "id": "task1423-409b8bccef4f41b692e60231356967b4", "input": "Problem: rain is falling at a rate of 10 centimeters per hour all over north carolina . somewhere downtown in north carolina a group of people are waiting for the rain to stop . if the rain filled a round puddle the with a base area of 300 square centimeters and a depth of 30 centimeters , how long did the people wait for the rain to stop ? \nOptions: ['a ) 4 hours', 'b ) 11 hours', 'c ) 7 hours 15 minutes', 'd ) 3 hours', 'e ) 14 hours']", "output": [ "d" ] }, { "id": "task1423-08ed20d4619449408f5e7a59bd68d73f", "input": "Problem: the sides of a cube are in the ratio 1 : 2 the ratio of their volume is ? \nOptions: ['a ) 1 : 6', 'b ) 1 : 4', 'c ) 1 : 0', 'd ) 1 : 2', 'e ) 1 : 1']", "output": [ "b" ] }, { "id": "task1423-9ecb2fbdb850477982e42ae5145bb79f", "input": "Problem: the percentage increase in the area of a rectangle , if each of its sides is increased by 20 % is ? \nOptions: a ) 44 % , b ) 45 % , c ) 50 % , d ) 55 % , e ) 60 %", "output": [ "a" ] }, { "id": "task1423-dd5d5e9c6f9d4be3be75ca05cb7cc3b3", "input": "Problem: a voltage will influence current only if the circuit is : \nOptions: ['a ) 2', 'b ) 7', 'c ) 6', 'd ) 889', 'e ) 1']", "output": [ "b" ] }, { "id": "task1423-abe81e64071942a4977f465520c7c8a0", "input": "Problem: in a rectangular coordinate system , what is the area of a rectangle whose vertices have the coordinates ( - 9 , 1 ) , ( 1 , 1 ) , ( 1 , - 8 ) and ( - 9 , - 8 ) ? \nOptions: a ) 72 , b ) 180 , c ) 70 , d ) 90 , e ) 140", "output": [ "d" ] }, { "id": "task1423-c00123d26f80442eab5c9ab9e3d4835e", "input": "Problem: the length of a rectangle is increased by 25 % and its breadth is decreased by 15 % . what is the effect on its area ? \nOptions: a ) 1288 , b ) 1299 , c ) 10625 , d ) 10000 , e ) 2887", "output": [ "c" ] }, { "id": "task1423-51d9f486cf034967bec0041e1d836a83", "input": "Problem: the area of sector of a circle whose radius is 12 metro and whose angle at the center is 39 ° is ? \nOptions: a ) 40 m 2 , b ) 45 m 2 , c ) 49 m 2 , d ) 51 m 2 , e ) 55 m 2", "output": [ "c" ] }, { "id": "task1423-7a3c63b93c964244829a095cc8d06b79", "input": "Problem: a crate measures 5 feet by 8 feet by 12 feet on the inside . a stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides . what is the radius , in feet , of the pillar with the largest volume that could still fit in the crate ? \nOptions: a ) 2 , b ) 4 , c ) 5 , d ) 8 , e ) 12", "output": [ "c" ] }, { "id": "task1423-04fc7754b2ce478fab7c320c15296690", "input": "Problem: find the surface area of a 8 cm x 6 cm x 2 cm brick . \nOptions: a ) 112 cu cm , b ) 136 cu cm , c ) 164 cu cm , d ) 180 cu cm , e ) 152 cu cm", "output": [ "e" ] }, { "id": "task1423-3a463ebc657f4497a50d56b2d01d438d", "input": "Problem: the area of a square is added to one of its sides , and the perimeter is then subtracted from this total , the result is 4 . what is the length of one side ? \nOptions: ['a ) 5', 'b ) 4', 'c ) 3', 'd ) 2', 'e ) 1']", "output": [ "b" ] }, { "id": "task1423-d14c59518d494bc180fa82d05c5d08e0", "input": "Problem: the area of a triangle will be when a = 2 m , b = 5 m , c = 7 m , a , b , c being lengths of respective sides ? \nOptions: a ) 2 , b ) 7 , c ) 5 , d ) 3 , e ) 4", "output": [ "b" ] }, { "id": "task1423-1af8b8868f6f4082a0f9a37ea1e182fb", "input": "Problem: a rectangular room has the rectangular shaped rug shown as above figure such that the rug ’ s area is 200 square feet and its length is 10 feet longer than its width . if the uniform width between the rug and room is 10 feet , what is the area of the region uncovered by the rug ( shaded region ) , in square feet ? \nOptions: a ) 32 , b ) 1360 , c ) 1000 , d ) 46 , e ) 104", "output": [ "c" ] }, { "id": "task1423-1f434528d05142d2bff9ddc693191d46", "input": "Problem: the diagonals of two squares are in the ratio of 2 : 5 . find the ratio of their areas . \nOptions: ['a ) 4 : 25', 'b ) 4 : 15', 'c ) 3 : 25', 'd ) 3 : 15', 'e ) none of these']", "output": [ "a" ] }, { "id": "task1423-f352a276dfa543a3b8bb98caa28c4f83", "input": "Problem: the weight of a hollow sphere is directly dependent on its surface area . the surface area of a sphere is 4 π · r ^ 2 , where r is the radius of the sphere . if a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams , a hollow sphere of radius 0.3 cm made of the same metal would weigh how many grams w ? \nOptions: a ) w = 16 , b ) w = 32 , c ) 64 , d ) 128 , e ) 512", "output": [ "b" ] }, { "id": "task1423-d4e2bccd2b5b4fbd8598ad8cb2d05b83", "input": "Problem: the area of a parallelogram is 128 sq m and its altitude is twice the corresponding base . then the length of the base is ? \nOptions: ['a ) 8', 'b ) 7', 'c ) 6', 'd ) 5', 'e ) 2']", "output": [ "a" ] }, { "id": "task1423-ee7c1fa4dce942f78f9d3a740f1b3e7e", "input": "Problem: if n is the smallest integer such that 144 times n is the square of an integer , what is the value of n ? \nOptions: a ) 2 , b ) 3 , c ) 6 , d ) 12 , e ) 24", "output": [ "a" ] }, { "id": "task1423-968c9f365bd54d16a3d3eb1936d9e540", "input": "Problem: right triangle xyzs the base of the prism in the figure above . if xy = xz = â ˆ š 9 and the height of the prism is 6 , what is the volume of the prism ? \nOptions: ['a ) 3', 'b ) 27', 'c ) 13', 'd ) 12', 'e ) 15']", "output": [ "b" ] }, { "id": "task1423-59141718265d4524869e9ca14f3067a3", "input": "Problem: a rectangular floor is covered by a rug except for a strip 4 meters wide along each of the four edge . if the floor is 25 meters by 20 meters , what is the area of the rug in square meters ? \nOptions: ['a ) 256', 'b ) 266', 'c ) 204', 'd ) 224', 'e ) 324']", "output": [ "c" ] }, { "id": "task1423-76435086f27448c08b94b5b0df73876a", "input": "Problem: one side of a rectangular field is 13 m and one of its diagonal is 17 m . find the area of the field . \nOptions: a ) 100 , b ) 141.7 , c ) 150 , d ) 180 , e ) none", "output": [ "b" ] }, { "id": "task1423-b673a0400d264cef96b812ce11893949", "input": "Problem: in measuring the sides of a rectangle , one side is taken 10 % in excess and other 5 % in deficit . find the error percentage in the area calculated from these measurements . \nOptions: a ) 3.5 % , b ) 2.4 % , c ) 3 % , d ) 4.5 % , e ) 2.6 %", "output": [ "d" ] }, { "id": "task1423-d6b4ebec74a147ccb00955ba418ecdef", "input": "Problem: if the sides of a square are doubled in length , the area of the original square is now how many times as large as the area of the resultant square ? \nOptions: a ) 25 % , b ) 50 % , c ) 100 % , d ) 200 % , e ) 400 %", "output": [ "a" ] }, { "id": "task1423-3f90274a523d4940bd83329a41efdab1", "input": "Problem: the perimeter of a triangle is 20 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ? \nOptions: a ) 28 cm 2 , b ) 27 cm 2 , c ) 29 cm 2 , d ) 25 cm 2 , e ) 35 cm 2", "output": [ "d" ] }, { "id": "task1423-833b318e8beb4feb9da542e2621c6270", "input": "Problem: a cube is painted red on all faces . it is then cut into 27 equal smaller cubes . how many v cubes are painted on only 2 faces ? \nOptions: a ) 12 , b ) 8 , c ) 6 , d ) 10 , e ) 16", "output": [ "a" ] }, { "id": "task1423-7bb2ec86dc074c9ca0e100538fc1bdb1", "input": "Problem: what is the area of a regular hexagon with sides 1 in . long ? \nOptions: a ) 1.59 square inch , b ) 2.59 square inch , c ) 3.59 square inch , d ) 4.59 square inch , e ) 2.69 square inch", "output": [ "b" ] }, { "id": "task1423-10a7ef5d5d0549ee942ade23d2d79906", "input": "Problem: what is the measure of the angle y made by the diagonals of the any adjacent sides of a cube . \nOptions: a ) 30 , b ) 45 , c ) 60 , d ) 75 , e ) 90", "output": [ "c" ] }, { "id": "task1423-3ead8ef8f8004fe1bad442b40354646b", "input": "Problem: the area of a square is 4900 sq cm . find the ratio of the breadth and the length of a rectangle whose length is same the side of the square and breadth is 20 cm less than the side of the square ? \nOptions: a ) 5 : 8 , b ) 5 : 10 , c ) 5 : 13 , d ) 5 : 7 , e ) 5 : 16", "output": [ "d" ] }, { "id": "task1423-b17e48fd46704664bce391ecc82218fb", "input": "Problem: a squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 3 feet . how many feet does the squirrel travels if the post is 27 feet tall and 3 feet in circumference ? \nOptions: a ) 10 feet , b ) 12 feet , c ) 27 feet , d ) 15 feet , e ) 18 feet", "output": [ "c" ] }, { "id": "task1423-e4cd485a318f4ebbb9aa7b757480672c", "input": "Problem: find the area of the quadrilateral of one of its diagonals is 28 cm and its off sets 8 cm and 2 cm ? \nOptions: a ) 140 cm 2 , b ) 150 cm 2 , c ) 168 cm 2 , d ) 182 cm 2 , e ) 200 cm 2", "output": [ "a" ] }, { "id": "task1423-283727c0d80a4a7d8ff7d9da708cd08f", "input": "Problem: a took 15 seconds to cross a rectangular field diagonally walking at the rate of 52 m / min and b took the same time to cross the same field along its sides walking at the rate of 68 m / min . the area of the field is ? \nOptions: ['a ) 33', 'b ) 60', 'c ) 88', 'd ) 27', 'e ) 26']", "output": [ "b" ] }, { "id": "task1423-f10c776cf79042eab3351150ca7e1a59", "input": "Problem: consider a quarter of a circle of radius 20 . let r be the radius of the circle inscribed in this quarter of a circle . find r . \nOptions: ['a ) 20 * ( sqr 2 - 1 )', 'b ) 8 * ( sqr 3 - 1 )', 'c ) 4 * ( sqr 7 - 1 )', 'd ) 12 * ( sqr 7 - 1 )', 'e ) none of these']", "output": [ "a" ] }, { "id": "task1423-3b47fa7f92b743c5bd63986e21c5e737", "input": "Problem: the side of a square is increased by 25 % then how much % does its area increases ? \nOptions: a ) 56.28 , b ) 56.25 , c ) 56.2 , d ) 56.24 , e ) 56.21", "output": [ "b" ] }, { "id": "task1423-e56ae54f6fb34b5ba7b56639e061f53d", "input": "Problem: if y is the smallest positive integer such that 6300 multiplied by y is the square of an integer , then y must be \nOptions: a ) 5 , b ) 7 , c ) 15 , d ) 35 , e ) 45", "output": [ "b" ] }, { "id": "task1423-85fe7392397a4b689796f3b380d4e39f", "input": "Problem: a rectangle having length 100 cm and width 40 cm . if the length of the rectangle is increased by fifty percent then how much percent the breadth should be decreased so as to maintain the same area . \nOptions: a ) 25 % , b ) 33.33 % , c ) 40 % , d ) 75 % , e ) none of these", "output": [ "b" ] }, { "id": "task1423-0255107a5d9d424a9417389352d428ac", "input": "Problem: triangle atriangle b are similar triangles with areas 1536 units square and 1734 units square respectively . the ratio of there corresponding height would be \nOptions: a ) 9 : 10 , b ) 17 : 19 , c ) 23 : 27 , d ) 16 : 17 , e ) 15 : 23", "output": [ "d" ] }, { "id": "task1423-bc28bc2f976749cd8983c1d29fbb7c86", "input": "Problem: in a company of 170 employees , 110 are females . a total of 80 employees have advanced degrees and the rest have a college degree only . if 25 employees are males with college degree only , how many employees are females with advanced degrees ? \nOptions: a ) 40 , b ) 45 , c ) 50 , d ) 55 , e ) 60", "output": [ "b" ] }, { "id": "task1423-5d08bd00b0074bb0afbe55433462e5f9", "input": "Problem: the length of a rectangle is halved , while its breadth is tripled . wat isthe % change in area ? \nOptions: a ) 40 % , b ) 45 % , c ) 50 % , d ) 60 % , e ) 67 %", "output": [ "c" ] }, { "id": "task1423-11a2ef0c1554422bac7206df4c5ac595", "input": "Problem: a small , rectangular park has a perimeter of 560 feet and a diagonal measurement of 400 feet . what is its area , in square feet ? \nOptions: a ) 76,800 , b ) 19,600 , c ) 20,000 , d ) 20,400 , e ) 20,800", "output": [ "a" ] }, { "id": "task1423-c8693cb21a544afb92d8d3d532ef0648", "input": "Problem: when the circumference and area of a circle are numerically equal , then the diameter is numerically equal to \nOptions: ['a ) area', 'b ) circumference', 'c ) 4', 'd ) 2 π', 'e ) none of these']", "output": [ "c" ] }, { "id": "task1423-52e67eefd0fa4aedae34b53483f617b4", "input": "Problem: what is the area of a square field whose diagonal of length 28 m ? \nOptions: a ) 288 , b ) 289 , c ) 200 , d ) 112 , e ) 392", "output": [ "e" ] }, { "id": "task1423-5ec692036dad4b8384887be32c979b31", "input": "Problem: the length of a rectangle is two - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 625 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ? \nOptions: a ) 140 , b ) 99 , c ) 100 , d ) 72 , e ) 12", "output": [ "c" ] }, { "id": "task1423-c757e7d00c124d42bb9efbe475f7859f", "input": "Problem: a circular garden is surrounded by a fence of negligible width along the boundary . if the length of the fence is 1 / 6 of th area of the garden . what is the radius of the circular garden ? \nOptions: a ) 1 , b ) 2 , c ) 4 , d ) 8 , e ) 12", "output": [ "e" ] }, { "id": "task1423-1f32c349ac104d729ebf1e283f17c816", "input": "Problem: a cube of edge 10 cm is immersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 20 cm * 15 cm , find the rise in water level ? \nOptions: ['a ) 6 cm', 'b ) 8.25 cm', 'c ) 11.25 cm', 'd ) 15.12 cm', 'e ) 3.33 cm']", "output": [ "e" ] }, { "id": "task1423-45b8f0295db44850a951ab62ec37dbae", "input": "Problem: the ratio of the volumes of two cubes is 216 : 343 . what is the ratio of their total surface areas ? \nOptions: a ) 81 : 12 , b ) 31 : 36 , c ) 81 : 22 , d ) 8 : 19 , e ) 1 : 11", "output": [ "b" ] }, { "id": "task1423-b2a7e52a243d41e9a9aef08d96a6a97e", "input": "Problem: the length and width of a rectangle are integer values . what is the area of the smallest such rectangle that can be inscribed in a circle whose radius is also an integer \nOptions: ['a ) 12', 'b ) 45', 'c ) 36', 'd ) 48', 'e ) 60']", "output": [ "b" ] }, { "id": "task1423-e53bd9d7fd8941bf8bd113782bce596b", "input": "Problem: the area of a rectangular field is equal to 300 square meters . its perimeter is equal to 70 meters . find the length and width of this rectangle . \nOptions: ['a ) w = 15 and l = 20', 'b ) w = 25 and l = 30', 'c ) w = 35 and l = 40', 'd ) w = 45 and l = 50', 'e ) w = 55 and l = 60']", "output": [ "a" ] }, { "id": "task1423-59bbc713be364334b13f05f4278d049b", "input": "Problem: a circle is inscribed in a triangle of side 6 cm . and a square is inscribed in the circle . what is the area of square ? \nOptions: ['a ) 4 cm ^ 2', 'b ) 6 cm ^ 2', 'c ) 5 cm ^ 2', 'd ) 7 cm ^ 2', 'e ) 8 cm ^ 2']", "output": [ "b" ] }, { "id": "task1423-e73caffa8ef74973a9a6f21b65fb62f3", "input": "Problem: if the side length of square b is four times that of square a , the area of square b is how many times the area of square a ? \nOptions: ['a ) 20', 'b ) 16', 'c ) 12', 'd ) 8', 'e ) 4']", "output": [ "b" ] }, { "id": "task1423-a74e738ce54748b0a59435ebab3a7d10", "input": "Problem: if the sides of a triangle are 39 cm , 36 cm and 15 cm , what is its area ? \nOptions: a ) 120 cm 2 , b ) 765 cm 2 , c ) 216 cm 2 , d ) 270 cm 2 , e ) 275 cm 2", "output": [ "d" ] }, { "id": "task1423-318774866a1f4e4da1e26ed1bc495da2", "input": "Problem: carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 5 inches by 24 inches and jordan ' s rectangle is 2 inches long , how wide is jordan ' s rectangle , in inches ? \nOptions: a ) 65 , b ) 63 , c ) 52 , d ) 60 , e ) 68", "output": [ "d" ] }, { "id": "task1423-f9d66b1601a443dcba03f571cd38b195", "input": "Problem: the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 216 sq . cm , what is the width of the rectangle ? \nOptions: a ) 12 cm , b ) 16 cm , c ) 18 cm , d ) 20 cm , e ) 22 cm", "output": [ "a" ] }, { "id": "task1423-6a9c31b22f3f4f82a4a945d4d0535f97", "input": "Problem: in a rectangular coordinate system , what is the area of a quadrilateral whose vertices have the coordinates ( 4 , - 3 ) , ( 4 , 7 ) , ( 10 , 4 ) , ( 10 , - 7 ) ? \nOptions: a ) 51 , b ) 54 , c ) 57 , d ) 60 , e ) 63", "output": [ "e" ] }, { "id": "task1423-df77b6164db2492a9f5138945c5ac252", "input": "Problem: if the radius of a cylinder is doubled and so is the height , what is the new volume of the cylinder divided by the old one ? \nOptions: ['a ) 8 .', 'b ) 2', 'c ) 6', 'd ) 4', 'e ) 10']", "output": [ "a" ] }, { "id": "task1423-cf85ae7b6dd54bd2a4270b37dc927da9", "input": "Problem: guadalupe owns 2 rectangular tracts of land . one is 300 m by 500 m and the other is 250 m by 630 m . the combined area of these 2 tracts is how many square meters ? \nOptions: ['a ) 3,360', 'b ) 307,500', 'c ) 621,500', 'd ) 704,000', 'e ) 2 , 816,000']", "output": [ "b" ] }, { "id": "task1423-76d22b55f39b4e51bdfb68f29cd33a74", "input": "Problem: if a rectangular billboard has an area of 117 square feet and a perimeter of 44 feet , what is the length of each of the shorter sides ? \nOptions: a ) 4 , b ) 7 , c ) 8 , d ) 9 , e ) 26", "output": [ "d" ] }, { "id": "task1423-bdf4a6f29ef64863bf63e8bcdb248e3b", "input": "Problem: the side of a cube is 15 m , find it ' s surface area ? \nOptions: a ) 1350 , b ) 1750 , c ) 1150 , d ) 1450 , e ) 1570", "output": [ "a" ] }, { "id": "task1423-4fedcad013e640949c375cb91e1e0caf", "input": "Problem: the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 294 sq . cm , what is the length of the rectangle ? \nOptions: a ) 15 cm , b ) 18 cm , c ) 21 cm , d ) 24 cm , e ) 27 cm", "output": [ "c" ] }, { "id": "task1423-dff5760f160f46c9923bf1cbaeb3eee0", "input": "Problem: a rectangular tiled patio is composed of 48 square tiles . the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles . after the change in layout , the patio will still have 48 tiles , and it will still be rectangular . how many rows are in the tile patio before the change in layout ? \nOptions: a ) 5 , b ) 6 , c ) 10 , d ) 13 , e ) 28", "output": [ "b" ] }, { "id": "task1423-73313bd524e9471583693734f60fbdd5", "input": "Problem: the slant height of a cone is 12 cm and radius of the base is 4 cm , find the curved surface of the cone ? \nOptions: a ) 26 , b ) 28 , c ) 48 , d ) 26 , e ) 28", "output": [ "c" ] }, { "id": "task1423-2b748798631a49ff87b9f1f6f9b76400", "input": "Problem: in the coordinate plane , a circle centered on point ( - 3 , - 3 ) passes through point ( 1 , 1 ) . what is the area of the circle ? \nOptions: a ) 9 π , b ) 32 π , c ) 25 π , d ) 37 π , e ) 41 π", "output": [ "b" ] }, { "id": "task1423-a614e84a81384b0a89cacde17f5dcc22", "input": "Problem: find the area of a parallelogram with base 26 cm and height 16 cm ? \nOptions: a ) 297 cm 2 , b ) 384 cm 2 , c ) 672 cm 2 , d ) 416 cm 2 , e ) 286 cm 2", "output": [ "d" ] }, { "id": "task1423-b7bd7acb4d3a4e378853e60cf001f3ef", "input": "Problem: a rectangular lawn of dimensions 120 m * 60 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 3 per sq m ? \nOptions: a ) s . 5100 , b ) s . 3900 , c ) s . 3228 , d ) s . 3922 , e ) s . 3928", "output": [ "a" ] }, { "id": "task1423-5186130176be4bf4849141a91dd59985", "input": "Problem: the length of the rectangular field is double its width . inside the field there is square shaped pond 6 m long . if the area of the pond is 1 / 8 of the area of the field . what is the length of the field ? \nOptions: a ) 24 , b ) 32 , c ) 75 , d ) 28 , e ) 11", "output": [ "a" ] }, { "id": "task1423-a2256af23a3441579d0b9ca9dc8e7a2f", "input": "Problem: the ratio of radius of a circle and the side of a square is 2 : 3 . find the ratio of their areas : \nOptions: a ) 2 : 1 , b ) 4 : 9 , c ) 8 : 77 , d ) 4 : 121 , e ) none", "output": [ "b" ] }, { "id": "task1423-85529e2480e543969985fa904b82e841", "input": "Problem: the measure of the side of a square is multiplied by 7 . if x represents the perimeter of the original square , what is the value of the new perimeter ? \nOptions: a ) 3 x , b ) 4 x , c ) 7 x , d ) 12 x , e ) 27 x", "output": [ "c" ] }, { "id": "task1423-d3f2e32187664acd851b40542d1063be", "input": "Problem: find the surface area of a 10 cm x 4 cm x 3 cm brick \nOptions: a ) 84 , b ) 124 , c ) 164 , d ) 180 , e ) 120", "output": [ "c" ] }, { "id": "task1423-497723c0b7ca4ca09bebb1ed7bb6261c", "input": "Problem: the area of a base of a cone is 30 cm 2 . if the height of the cone is 6 cm , find its volume ? \nOptions: ['a ) 87', 'b ) 16', 'c ) 17', 'd ) 60', 'e ) 18']", "output": [ "d" ] }, { "id": "task1423-35d41dc4d77540eaaa4317d8e911976b", "input": "Problem: the parameter of a square is equal to the perimeter of a rectangle of length 18 cm and breadth 10 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) ? \nOptions: a ) 22.51 , b ) 22.0 , c ) 22.15 , d ) 22.17 , e ) 22.63", "output": [ "b" ] }, { "id": "task1423-7861e50667a547a3bde11584b69c12d7", "input": "Problem: the area of a triangle is with base 2 m and height 3 m ? \nOptions: a ) 11 , b ) 10 , c ) 787 , d ) 3 , e ) 12", "output": [ "d" ] }, { "id": "task1423-5b3a3a7bbe6045529a354a37079834b4", "input": "Problem: what is the area of a square field whose sides have a length of 16 meters ? \nOptions: a ) 225 sq m , b ) 286 sq m , c ) 298 sq m , d ) 256 sq m , e ) 231 sq m", "output": [ "d" ] }, { "id": "task1423-cdab51777c1e46a2b1348f4c8a81e064", "input": "Problem: the length of a rectangle is one fourth of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 784 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 5 units ? \nOptions: ['a ) 35 sq . units', 'b ) 45 sq . units', 'c ) 55 sq . units', 'd ) 50 sq . units', 'e ) 40 sq . units']", "output": [ "a" ] }, { "id": "task1423-1a4025a6e49f47c2bc206cfcde160748", "input": "Problem: if the length of a rectangular field is 30 metres more than its breadth and the perimeter of the field is 540 metres , what is the area of the field in square metres ? \nOptions: ['a ) 18000', 'b ) 40000', 'c ) 31000', 'd ) 19000', 'e ) 16000']", "output": [ "a" ] }, { "id": "task1423-322c1699252e4106b70e1544214c9796", "input": "Problem: right triangle abc is to be drawn in the xy - plane so that the right angle is at a and ab is parallel to the y - axis . if the x - and y - coordinates of a , b , and c are to be integers that are consistent with the inequalities - 8 ≤ x ≤ 2 and 4 ≤ y ≤ 9 , then how many different triangles can be drawn that will meet these conditions ? \nOptions: a ) 54 , b ) 4032 , c ) 2,160 , d ) 2,916 , e ) 148,824", "output": [ "b" ] }, { "id": "task1423-3919403a20ee47879c41f4f2e1917f81", "input": "Problem: find the area of a parallelogram with base 30 cm and height 12 cm ? \nOptions: a ) 290 cm 2 , b ) 360 cm 2 , c ) 270 cm 2 , d ) 280 cm 2 , e ) 260 cm 2", "output": [ "b" ] }, { "id": "task1423-73a66c71086a4a1f83376893db1b89e4", "input": "Problem: how many 2 x 2 x 2 cubes could fit in a box of 7 x 9 x 4 ? \nOptions: a ) 31 , b ) 32 , c ) 30 , d ) 33 , e ) 29", "output": [ "a" ] }, { "id": "task1423-a3820e4ebd924eacbac8f7f275f57c9a", "input": "Problem: if the sides of a triangle are 28 cm , 24 cm and 15 cm , what is its area ? \nOptions: a ) 180 cm 2 , b ) 112 cm 2 , c ) 776 cm 2 , d ) 666 cm 2 , e ) 886 cm 2", "output": [ "a" ] }, { "id": "task1423-62bbbc9b5d9345d6bc76951bf525e8e4", "input": "Problem: a rectangular floor is covered by a rug except for a strip 2 meters wide along each of the four edge . if the floor is 10 meters by 8 meters , what is the area of the rug in square meters ? \nOptions: a ) 24 , b ) 26 , c ) 28 , d ) 30 , e ) 32", "output": [ "a" ] }, { "id": "task1423-7a73ff0ff67244869ea80f9a6d72fced", "input": "Problem: the value of “ a ” varies in inverse proportion as the square of “ b ” . if the value of “ a ” is equal to 40 when “ b ” is equal to 12 . what would be the value of “ a ” when “ b ” is equal to 24 ? \nOptions: ['a ) 10', 'b ) 88', 'c ) 26', 'd ) 27', 'e ) 28']", "output": [ "a" ] }, { "id": "task1423-6a791d9f3a07403d8f332bece6d7373d", "input": "Problem: the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 2700 sq m , then what is the breadth of the rectangular plot ? \nOptions: a ) 11 , b ) 17 , c ) 18 , d ) 101 , e ) 30", "output": [ "e" ] }, { "id": "task1423-f6bfa9b89bbc4075bcace9e896805012", "input": "Problem: the length of a rectangle is two - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 3600 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ? \nOptions: a ) 240 , b ) 250 , c ) 260 , d ) 270 , e ) 280", "output": [ "a" ] }, { "id": "task1423-00732b320efe48faad5c97b1d73275c6", "input": "Problem: the monthly rent of a shop of dimension 10 feet × 10 feet is rs . 1300 . what is the annual rent per square foot of the shop ? \nOptions: a ) 43 , b ) 156 , c ) 68 , d ) 87 , e ) 92", "output": [ "b" ] }, { "id": "task1423-52cc1461c64348bea3653e3a21fff5e1", "input": "Problem: what is the positive integer that can be added by 595 to make it a perfect square ? \nOptions: ['a ) 2 * 3 * 6', 'b ) 3 * 2 * 5', 'c ) 5 * 3 * 3', 'd ) 2 * 3', 'e ) 3 * 5 * 4']", "output": [ "b" ] }, { "id": "task1423-86516b58b05445568c0ce49901072dfb", "input": "Problem: the roof of an apartment building is rectangular and its length is 4 times longer than its width . if the area of the roof is 576 feet squared , what is the difference between the length and the width of the roof ? \nOptions: a ) 38 . , b ) 40 . , c ) 36 . , d ) 44 . , e ) 46 .", "output": [ "c" ] }, { "id": "task1423-3fe1efb5ac7c47cf9e691d49b544cb07", "input": "Problem: what is the area of a rectangle whose length is twice its width and whose perimeter is equal to that of a square whose area is 1 ? \nOptions: ['a ) 1 / 9 sq units .', 'b ) 4 / 9 sq units .', 'c ) 8 / 9 sq units .', 'd ) 7 / 9 sq units .', 'e ) 6 / 9 sq units .']", "output": [ "c" ] }, { "id": "task1423-79fb6f567b9844b484ebfc7f580f3760", "input": "Problem: square a has an area of 25 square centimeters . square b has a perimeter of 12 centimeters . if square b is placed within square a and a random point is chosen within square a , what is the probability the point is not within square b ? \nOptions: a ) 9 / 25 , b ) 1 / 5 , c ) 16 / 25 , d ) 3 / 5 , e ) 6 / 25", "output": [ "c" ] }, { "id": "task1423-29312d70638a4c34aaf2c907ecf4c779", "input": "Problem: what should be added to 5021 so that it may become a perfect square ? \nOptions: a ) 20 , b ) 23 , c ) 26 , d ) 27 , e ) 29", "output": [ "a" ] }, { "id": "task1423-7fc89a96a992416184ccc2cded5b68f3", "input": "Problem: if circles x and y have the same area and circle x has a circumference of 14 π , half of the radius of circle y is : \nOptions: ['a ) 16', 'b ) 8', 'c ) 4', 'd ) 3.5', 'e ) 1']", "output": [ "d" ] }, { "id": "task1423-7b3c2283e3b14fae98e202a8d32f8cfc", "input": "Problem: the parameter of a square is equal to the perimeter of a rectangle of length 14 cm and breadth 10 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) ? \nOptions: a ) 23.56 , b ) 23.59 , c ) 23.55 , d ) 18.86 , e ) 23.57", "output": [ "d" ] }, { "id": "task1423-223a93adb9434cc9ab7bd3dbdc51078f", "input": "Problem: find the curved surface area , if the radius of a cone is 7 m and slant height is 14 m ? \nOptions: a ) 308 , b ) 369 , c ) 434 , d ) 476 , e ) 513", "output": [ "a" ] }, { "id": "task1423-0e9f92944e844129971b4f06dc81644e", "input": "Problem: calculate the effect changes in dimension of a rectangle will have on its area , if length is increased by 40 % and its breadth is decreased by 25 % ? \nOptions: a ) 5 % increase , b ) 7 % increase , c ) 6 % increase , d ) 4 % increase , e ) 3 % increase", "output": [ "a" ] }, { "id": "task1423-65cbbffb93c04dbf954af531d53f39d5", "input": "Problem: if the sides of a triangle are 52 cm , 48 cm and 20 cm , what is its area ? \nOptions: a ) 480 cm 2 , b ) 765 cm 2 , c ) 216 cm 2 , d ) 197 cm 2 , e ) 275 cm 2", "output": [ "a" ] }, { "id": "task1423-03777b1008f444dfbcd7c65d72ce6c5f", "input": "Problem: three walls have wallpaper covering a combined area of 300 square meters . by overlapping the wallpaper to cover a wall with an area of 180 square meters , the area that is covered by exactly two layers of wallpaper is 30 square meters . what is the area that is covered with three layers of wallpaper ? \nOptions: a ) 5 square meters , b ) 36 square meters , c ) 42 square meters , d ) 45 square meters , e ) 120 square meters", "output": [ "d" ] }, { "id": "task1423-d91159350f014a98bbb193b534dc674c", "input": "Problem: the length of a rectangle is reduced by 30 % . by what % would the width have to be increased to maintain the original area ? \nOptions: a ) 42.8 % , b ) 20 % , c ) 25 % , d ) 30 % , e ) 35 %", "output": [ "a" ] }, { "id": "task1423-8e7120f018b645bea68b525f2ad29b1b", "input": "Problem: find the area of a parallelogram with base 26 cm and height 12 cm ? \nOptions: a ) 281 , b ) 284 , c ) 288 , d ) 255 , e ) 312", "output": [ "e" ] }, { "id": "task1423-7e0295a1c219428a86daf539f9ed7c4b", "input": "Problem: the ratio of the radius of two circles is 3 : 4 , and then the ratio of their areas is ? \nOptions: a ) 1 : 7 , b ) 9 : 16 , c ) 1 : 9 , d ) 3 : 7 , e ) 3 : 4", "output": [ "b" ] }, { "id": "task1423-19af1d0f21c84b789d500b020a20e34e", "input": "Problem: two cubes of their volumes in the ratio 343 : 729 . the ratio of their surface area is : \nOptions: a ) 7 : 9 , b ) 2 : 5 , c ) 3 : 5 , d ) 1 : 5 , e ) 4 : 5", "output": [ "a" ] }, { "id": "task1423-5bcfeaf4b41a4ed4a0b280e2bbcb8391", "input": "Problem: what is the smallest positive integer x such that 864 x is the cube of a positive integer \nOptions: a ) 6 , b ) 12 , c ) 9 , d ) 5 , e ) 2", "output": [ "e" ] }, { "id": "task1423-4490460e4e1e41e29a631fafe6dfaa88", "input": "Problem: the sides of the triangle are in the ratio 5 : 6 : 7 and its perimeter is 720 cm . the length of the longest side is ? \nOptions: ['a ) 150 cm', 'b ) 200 cm', 'c ) 162 cm', 'd ) 220 cm', 'e ) 280 cm']", "output": [ "e" ] }, { "id": "task1423-d5607100594c44d899dd3f7fd78b8799", "input": "Problem: a rectangular field has to be fenced on three sides leaving a side of 2020 feet uncovered . if the area of the field is 680680 sq . feet , how many feet of fencing will be required ? \nOptions: a ) 95 , b ) 92 , c ) 88 , d ) 82 , e ) 80", "output": [ "c" ] }, { "id": "task1423-0ee65d3efe604547ace63bec7a33a6cb", "input": "Problem: john builds a square with a side of 12 cm from some wire . if from the same wire , he builds a rectangle with a width of 6 cm , what will be the length of the rectangle ? \nOptions: ['a ) 18 cm', 'b ) 19 cm', 'c ) 20 cm', 'd ) 21 cm', 'e ) none']", "output": [ "a" ] }, { "id": "task1423-aaa2b31649bf4712a8c1858059b97ccd", "input": "Problem: if a triangle in the xy - coordinate system has vertices at ( - 2 , - 3 ) , ( 4 , - 3 ) and ( 28 , 7 ) , what is the area of the triangle ? \nOptions: ['a ) 30', 'b ) 36', 'c ) 48', 'd ) 60', 'e ) 65']", "output": [ "a" ] }, { "id": "task1423-32b6390270614f289a282157b2115205", "input": "Problem: if a is the smallest positive integer such that 3150 multiplied by a is the square of an integer , then a must be \nOptions: a ) 2 , b ) 5 , c ) 6 , d ) 7 , e ) 14", "output": [ "e" ] }, { "id": "task1423-b3f393eda79042bfb22c2e13fa8947f7", "input": "Problem: the dimensions of a rectangular solid are 4 inches , 5 inches , and 10 inches . if a cube , a side of which is equal to one of the dimensions of the rectangular solid , is placed entirely within thespherejust large enough to hold the cube , what the ratio of the volume of the cube to the volume within thespherethat is not occupied by the cube ? \nOptions: a ) 10 : 17 , b ) 2 : 5 , c ) 10 : 19 , d ) 25 : 7 , e ) 32 : 25", "output": [ "c" ] }, { "id": "task1423-039fc13474e14b6ca0e0318481d1b23a", "input": "Problem: a rectangular parking space is marked out by painting three of its sides . if the length of the unpainted side is 99 feet , and the sum of the lengths of the painted sides is 37 feet , find out the area of the parking space in square feet ? \nOptions: ['a ) 126 sq . ft', 'b ) 64 sq . ft', 'c ) 100 sq . ft', 'd ) 120 sq . ft', 'e ) 140 sq . ft']", "output": [ "a" ] }, { "id": "task1423-ffb282f8f2ba426b95b53c18769f5f06", "input": "Problem: the rhombus ( afce ) is inscribed in rectangle ( abcd ) . the length of bf = de . if the rectangle has a width of 20 yards and a length of 25 yards , what would be the total length ( the perimeter ) of a fence along the sides defined by afce ? \nOptions: a ) 80 yards , b ) 82 yards , c ) 84 yards , d ) 85 yards , e ) 90 yards", "output": [ "b" ] }, { "id": "task1423-7cc9a989514947e0a8c13ab158c961f6", "input": "Problem: a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 650 sq . feet , how many feet of fencing will be required ? \nOptions: a ) 34 , b ) 40 , c ) 85 , d ) 88 , e ) none", "output": [ "c" ] }, { "id": "task1423-879173d514f04a2cbdeff938b1c118db", "input": "Problem: two cubes of their volumes in the ratio 64 : 343 . the ratio of their surface area is : \nOptions: a ) 1.5 : 5 , b ) 2 : 5 , c ) 3 : 5 , d ) 1 : 5 , e ) 4 : 7", "output": [ "e" ] }, { "id": "task1423-ab1a17854f6a485e9c9407e6f3bafa92", "input": "Problem: the length and breadth of a rectangular floor are 16.25 metre and 12.75 metre respectively . find how many minimum number of square tiles would be required to cover it completely ? \nOptions: ['a ) 375', 'b ) 2570', 'c ) 2800', 'd ) 3315', 'e ) none of these']", "output": [ "d" ] }, { "id": "task1423-e1eae181aaf548f092ba3374ad7f3e25", "input": "Problem: in a rectangular axis system , what is the area of a parallelogram with the coordinates : ( 3,5 ) , ( 9,5 ) , ( 2,7 ) , ( 8,7 ) ? \nOptions: a ) 21 . , b ) 28 . , c ) 35 . , d ) 12 . , e ) 52 .", "output": [ "d" ] }, { "id": "task1423-871c2aaa884a492dab5788c588648421", "input": "Problem: three walls have wallpaper covering a combined area of 300 square meters . by overlapping the wallpaper to cover a wall with an area of 180 square meters , the area that is covered by exactly two layers of wallpaper is 38 square meters . what is the area that is covered with three layers of wallpaper ? \nOptions: ['a ) 5 square meters', 'b ) 36 square meters', 'c ) 42 square meters', 'd ) 83.3 square meters', 'e ) 41 square meters']", "output": [ "e" ] }, { "id": "task1423-030902ab44924593a711b5418c3b9ba5", "input": "Problem: a rectangular tiled patio is composed of 90 square tiles . the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles . after the change in layout , the patio will still have 90 tiles , and it will still be rectangular . how many rows are in the tile patio before the change in layout ? \nOptions: a ) 5 , b ) 6 , c ) 10 , d ) 11 , e ) 28", "output": [ "d" ] }, { "id": "task1423-3ad3b86ae12045d9866025470aae6a03", "input": "Problem: a cylinder with base radius of 8 cm and height of 2 cm is melted to form a cone of height 6 cm . the radius of the cone will be : \nOptions: ['a ) 8 cm', 'b ) 9 cm', 'c ) 10 cm', 'd ) 11 cm', 'e ) none']", "output": [ "a" ] }, { "id": "task1423-48bc9ed4803e47e48bc7ae1a73734cf7", "input": "Problem: a cheese factory sells its cheese in rectangular blocks . a normal block has a volume of 4 cubic feet . if a large block has twice the width , twice the depth , and twice the length of a normal block , what is the volume of cheese in a large block in cubic feet ? \nOptions: ['a ) 16', 'b ) 20', 'c ) 36', 'd ) 32', 'e ) 28']", "output": [ "d" ] }, { "id": "task1423-637aa043c2e7468b83b59b0ad29c82d1", "input": "Problem: what positive number , when squared , is equal to the cube of the positive square root of 16 ? \nOptions: a ) 64 , b ) 32 , c ) 8 , d ) 4 , e ) 2", "output": [ "c" ] }, { "id": "task1423-1bc211e6953d45d4b3c1ef9b2a5ebcb0", "input": "Problem: if each side of a square is increased by 50 % , the ratio of the area of the resulting square to the area of the given square is : \nOptions: ['a ) 5 : 4', 'b ) 9 : 4', 'c ) 4 : 5', 'd ) 4 : 9', 'e ) 1 : 2']", "output": [ "b" ] }, { "id": "task1423-fca2c843f2984749a2e8e5871e38ea8b", "input": "Problem: the size of a flat - screen tablet is given as the length of the screen ’ s diagonal . how many square inches greater is the screen of a square 8 - inch flat - screen tablet than a square 7 - inch flat - screen tablet ? \nOptions: a ) 7.6 , b ) 7.3 , c ) 7.2 , d ) 7.5 , e ) 8.0", "output": [ "d" ] }, { "id": "task1423-5b52b740b5094991ab45059ccca3cef5", "input": "Problem: the number 250 can be written as sum of the squares of 3 different positive integers . what is the sum of these 3 different integers ? \nOptions: ['a ) 18', 'b ) 22', 'c ) 21', 'd ) 20', 'e ) 19']", "output": [ "b" ] }, { "id": "task1423-5b1cfed7f05f4d018adf20bd745674ab", "input": "Problem: a cube of edge 6 cm is cut into cubes each of edge 3 cm . the ratio of the total surface area of one of the small cubes to that of the large cube is equal to : \nOptions: a ) 1 : 4 , b ) 1 : 25 , c ) 1 : 52 , d ) 1 : 522 , e ) none", "output": [ "a" ] }, { "id": "task1423-27cb6f28c7514acc98c23111f3588913", "input": "Problem: an equilateral triangle t 2 is formed by joining the mid points of the sides of another equilateral triangle t 1 . a third equilateral triangle t 3 is formed by joining the mid - points of t 2 and this process is continued indefinitely . if each side of t 1 is 80 cm , find the sum of the perimeters of all the triangles . \nOptions: a ) 180 cm , b ) 220 cm , c ) 240 cm , d ) 270 cm , e ) 480 cm", "output": [ "e" ] }, { "id": "task1423-2bd454a997fd44d4a39fb43f6e828a0c", "input": "Problem: if anangletis defined as 1 percent of 1 degree , then how many anglets are there in one half circle ? \nOptions: a ) 0.36 , b ) 3.6 , c ) 360 , d ) 18,000 , e ) 36,000", "output": [ "d" ] }, { "id": "task1423-d1248740114f4df29e42b6d6045ab792", "input": "Problem: a box measuring 36 inches long by 45 inches wide by 18 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ? \nOptions: a ) 32 , b ) 34 , c ) 38 , d ) 40 , e ) 42", "output": [ "d" ] }, { "id": "task1423-3fdbaf0427774dc78d3b3f26f56311a7", "input": "Problem: if the area of a square with sides of length 5 centimeters is equal to the area of a rectangle with a width of 4 centimeters , what is the length of the rectangle , in centimeters ? \nOptions: a ) 4 , b ) 8 , c ) 12 , d ) 7 , e ) 18", "output": [ "d" ] }, { "id": "task1423-839745a0ef3849679d7755c8159f74a6", "input": "Problem: 18 business executives and 7 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ? \nOptions: a ) 144 , b ) 131 , c ) 279 , d ) 90 , e ) 45", "output": [ "c" ] }, { "id": "task1423-b29f4e93b6bf47d6ad1d349c412890ff", "input": "Problem: triangle atriangle b are similar triangles with areas 1536 units square and 2166 units square respectively . the ratio of there corresponding height would be \nOptions: ['a ) 9 : 10', 'b ) 17 : 19', 'c ) 23 : 27', 'd ) 13 : 17', 'e ) 16 : 19']", "output": [ "e" ] }, { "id": "task1423-f4bbc73acc6c410abb58d54976cac467", "input": "Problem: the area of a parallelogram is 243 sq m and its altitude is three times the corresponding base . what is the length of the base ? \nOptions: a ) 4 , b ) 9 , c ) 10 , d ) 4 , e ) 12", "output": [ "b" ] }, { "id": "task1423-c050d162545f49cbb90ad08d38abb52e", "input": "Problem: in may , the grounds keeper at spring lake golf club built a circular green with an area of 25 square feet . in august , he doubled the distance from the center of the green to the edge of the green . what is the total area of the renovated green ? \nOptions: a ) 100 pi , b ) 80 , c ) 70 , d ) 60 , e ) 50", "output": [ "a" ] }, { "id": "task1423-ba1e8f0dd0a74b2d809ffb8b2691ebb0", "input": "Problem: two cubes of their volumes in the ratio 27 : 125 . the ratio of their surface area is : \nOptions: a ) 1.5 : 5 , b ) 2 : 5 , c ) 3 : 5 , d ) 1 : 5 , e ) 4 : 5", "output": [ "c" ] }, { "id": "task1423-d3cb16ab6faf4da88a88edc31586dde9", "input": "Problem: a cylinder is being filled with sand weighing 200 kg per cubic foot . the cylinder has a diameter of 1 foot and is 5 feet tall . how much sand is being used ? ? \nOptions: ['a ) 250 pi kg', 'b ) 500 pi kg', 'c ) 500 pi ^ 2 kg', 'd ) 1000 pi kg', 'e ) 1000 pi ^ 2 kg']", "output": [ "a" ] }, { "id": "task1423-352f5fbc0a8a4dc897f3ec33852b727c", "input": "Problem: if the radius of a circle is increased by 12 % , then the area of the circle \nOptions: ['a ) decreases by 25.44 %', 'b ) increases by 25.44 %', 'c ) no change in area', 'd ) decreases by 12 %', 'e ) none']", "output": [ "b" ] }, { "id": "task1423-c6650d0069924871b921cff11fae6be3", "input": "Problem: what is the ratio between perimeters of two squares one having 11 times the diagonal then the other ? \nOptions: a ) 3 : 8 , b ) 3 : 6 , c ) 3 : 7 , d ) 11 : 1 , e ) 3 : 3", "output": [ "d" ] }, { "id": "task1423-12fab3e2abe043d28229ca0cb71f18ff", "input": "Problem: the perimeter of a square is equal to the perimeter of a rectangle of length 15 cm and breadth 14 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) \nOptions: ['a ) 22.78', 'b ) 23.54', 'c ) 24.5', 'd ) 25.55', 'e ) 23.51']", "output": [ "a" ] }, { "id": "task1423-965aaea0b9424b938c3725b4037b013f", "input": "Problem: if the radius of a circle is increased by 30 % then the area is increased by : \nOptions: a ) 44 % , b ) 69 % , c ) 144 % , d ) 40 % , e ) none of the above", "output": [ "b" ] }, { "id": "task1423-d3c5b7e9e1ba49349c6696711dd96288", "input": "Problem: a box measuring 90 inches long by 45 inches wide by 9 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ? \nOptions: a ) 17 , b ) 18 , c ) 50 , d ) 108 , e ) 864", "output": [ "c" ] }, { "id": "task1423-ad024ee7f93f4538ae70b024e2e08618", "input": "Problem: a circular logo is enlarged to fit the lid of a jar . the new diameter is 60 per cent larger than the original . by what percentage has the area of the logo increased ? \nOptions: ['a ) 50', 'b ) 80', 'c ) 100', 'd ) 143.36', 'e ) 250']", "output": [ "d" ] }, { "id": "task1423-a90e3b709b904ce38fd9e82a6aa4e644", "input": "Problem: the number 86 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ? \nOptions: a ) 17 , b ) 16 , c ) 15 , d ) 14 , e ) 13", "output": [ "d" ] }, { "id": "task1423-a18c7bf97f95424cb79edce0ba3a3404", "input": "Problem: the length of rectangle is thrice its breadth and its perimeter is 96 m , find the area of the rectangle ? \nOptions: a ) 432 , b ) 288 , c ) 376 , d ) 397 , e ) 592", "output": [ "a" ] }, { "id": "task1423-75572e0eaf7a41b8895ca9763a0f0512", "input": "Problem: if a rectangular room measures 8 meters by 5 meters by 4 meters , what is the volume of the room in cubic centimeters ? ( 1 meter = 100 centimeters ) \nOptions: ['a ) 24,000', 'b ) 16 , 000,000', 'c ) 2 , 400,000', 'd ) 24 , 000,000', 'e ) 240 , 000,000']", "output": [ "b" ] }, { "id": "task1423-de27fa1a9f464908ad9d4495ca65f663", "input": "Problem: a spirit and water solution is sold in a market . the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has . a solution of 1 liter of spirit and 1 liter of water costs 60 cents . how many cents does a solution of 1 liter of spirit and 2 liters of water cost ? \nOptions: a ) 13 , b ) 33 , c ) 50 , d ) 51 , e ) 60", "output": [ "e" ] }, { "id": "task1423-e3e59efbcb8f46029f5de31e835b6f3c", "input": "Problem: a wooden cube whose edge length is 9 inches is composed of smaller cubes with edge lengths of one inch . the outside surface of the large cube is painted red and then it is split up into its smaller cubes . if one cube is randomly selected from the small cubes , what is the probability that the cube will have at least one red face ? \nOptions: a ) 52.9 % , b ) 55.4 % , c ) 58.3 % , d ) 61.7 % , e ) 64.5 %", "output": [ "a" ] }, { "id": "task1423-d62323c9f2b54f47ac4cda05e6f743fa", "input": "Problem: if the volume of two cubes are in the ratio 64 : 8 , the ratio of their edges is : \nOptions: a ) 3 : 1 , b ) 3 : 2 , c ) 3 : 5 , d ) 2 : 1 , e ) none of these", "output": [ "d" ] }, { "id": "task1423-cdfb2cec0a37424e9746ad457dfda59b", "input": "Problem: there are two cubes with ratio between volume is 125 : 64 . then what is the value of length of each cube ? \nOptions: ['a ) 25 : 16', 'b ) 16 : 25', 'c ) 4 : 5', 'd ) 5 : 4', 'e ) 150 : 96']", "output": [ "d" ] }, { "id": "task1423-2fb13a081bd94b9b8c0acabed3493a4e", "input": "Problem: a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 600 sq . ft , how many feet of fencing will be required ? \nOptions: a ) 80 feet , b ) 70 feet , c ) 60 feet , d ) 50 feet , e ) 20 feet", "output": [ "a" ] }, { "id": "task1423-b486684789534cfdaa4e949dbb2b62e9", "input": "Problem: the number 155 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ? \nOptions: a ) 17 , b ) 16 , c ) 15 , d ) 14 , e ) 21", "output": [ "e" ] }, { "id": "task1423-281d0361c31d4913a41958c22888bb88", "input": "Problem: the length of a rectangular landscape is 4 times its breadth . there is a playground in it whose area is 1200 square mtr & which is 1 / 3 rd of the total landscape . what is the length of the landscape ? \nOptions: ['a ) 90', 'b ) 100', 'c ) 120', 'd ) 130', 'e ) 140']", "output": [ "c" ] }, { "id": "task1423-e8a72923530f487c8c3b6696a363f748", "input": "Problem: if d is the smallest positive integer such that 3150 multiplied by d is the square of an integer , then d must be \nOptions: a ) 2 , b ) 5 , c ) 6 , d ) 7 , e ) 14", "output": [ "e" ] }, { "id": "task1423-77d3b8314aeb42c486437ca64045cf1c", "input": "Problem: the area of a square is equal to three times the area of a rectangle of dimensions 49 cm * 27 cm . what is the perimeter of the square ? \nOptions: a ) 380 cm , b ) 264 cm , c ) 252 cm , d ) 324 cm , e ) 296 cm", "output": [ "c" ] }, { "id": "task1423-0c31cbf45386416d95158fb639231943", "input": "Problem: in an electric circuit , two resistors with resistances 8 ohms and 9 ohms are connected in parallel . in this case , if r is the combined resistance of these two resistors , then the reciprocal of r is equal to the sum of the reciprocals of two resistors . what is r value ? \nOptions: ['a ) 17', 'b ) 45 / 78', 'c ) 72 / 17', 'd ) 17 / 72', 'e ) 72']", "output": [ "c" ] }, { "id": "task1423-0ff033259d2248bb994a96cb891adab7", "input": "Problem: a right circular cylinder has a height of 22 and a radius of 5 . a rectangular solid with a height of 15 and a square base , is placed in the cylinder such that each of the corners of the solid is tangent to the cylinder wall . liquid is then poured into the cylinder such that it reaches the rim . what is the volume of the liquid ? \nOptions: ['a ) 500 ( π – 3 )', 'b ) 500 ( π – 2.5 )', 'c ) 500 ( π – 2 )', 'd ) 550 ( π – 1.5 )', 'e ) 500 ( π – 1 )']", "output": [ "d" ] }, { "id": "task1423-decfcc0cb8e24921a363672125b59fc5", "input": "Problem: the length of a rectangle is twice its breadth . if its length is decreased by 5 cm and breadth is increased by 5 cm , the area of the rectangle is increased by 65 sq . cm . find the length of the rectangle . \nOptions: a ) 12 cm , b ) 14 cm , c ) 16 cm , d ) 18 cm , e ) 20 cm", "output": [ "c" ] }, { "id": "task1423-761c3f4c010640ce9bb549bcfe7553b7", "input": "Problem: what will be the cost of building to paint which area equal to 196 sq ft , if the price per foot of building is rs . 15 ? \nOptions: ['a ) 120', 'b ) 240', 'c ) 360', 'd ) 380', 'e ) 840']", "output": [ "e" ] }, { "id": "task1423-c811abbc7d4d48c8afac870e3ad587d2", "input": "Problem: a certain rectangular window is two times as long as it is wide . if its perimeter is 30 feet , what are its dimensions in terms of length by width ? \nOptions: a ) 12 by 2 , b ) 11 by 3 , c ) 10.5 by 3.5 , d ) 10 by 5 , e ) 9 by 3", "output": [ "d" ] }, { "id": "task1423-785dfccde5a44030889ea869f93c530a", "input": "Problem: the length of rectangle is thrice its breadth and its perimeter is 56 m , find the area of the rectangle ? \nOptions: a ) 432 , b ) 212 , c ) 252 , d ) 992 , e ) 147", "output": [ "e" ] }, { "id": "task1423-a3a1213fb9ea405dab6e514d6d60f8c0", "input": "Problem: if the sides of a triangle are 91 cm , 84 cm and 35 cm , what is its area ? \nOptions: a ) 120 cm 2 , b ) 1470 cm 2 , c ) 216 cm 2 , d ) 197 cm 2 , e ) 275 cm 2", "output": [ "b" ] }, { "id": "task1423-e9804f8973e946f1ba468dc729e01b11", "input": "Problem: the volume of a cube is 2197 cc . find its surface . \nOptions: a ) 864 , b ) 1014 , c ) 1299 , d ) 1268 , e ) 1191", "output": [ "b" ] }, { "id": "task1423-f251e157e47a46cd93c44f87492a1a0e", "input": "Problem: the width of a rectangular hall is ½ of its length . if the area of the hall is 200 sq . m , what is the difference between its length and breadth ? \nOptions: ['a ) 8 m', 'b ) 10 m', 'c ) 12 m', 'd ) 15 m', 'e ) 17 m']", "output": [ "b" ] }, { "id": "task1423-bf19ee5a85da4500b26780b3c87fea3e", "input": "Problem: what is the smallest positive perfect square that is divisible by 9 , 21 , and 49 ? \nOptions: a ) 225 , b ) 324 , c ) 441 , d ) 529 , e ) 900", "output": [ "c" ] }, { "id": "task1423-b0abdce2870b4fe182e5ba1a36432329", "input": "Problem: the perimeter of one square is 24 m & that of another is 32 m . perimeter of a square whose area is equal to the sum of the areas of the 2 squares will be \nOptions: ['a ) 20 m', 'b ) 24 m', 'c ) 28 m', 'd ) 40 m', 'e ) 43 m']", "output": [ "d" ] }, { "id": "task1423-5acb6898bb0a426cbbfda25bbcc9089b", "input": "Problem: a horse is tethered to one corner of a rectangular grassy field 36 m by 20 m with a rope 12 m long . over how much area of the field can it graze ? \nOptions: a ) 154 cm 2 , b ) 113 m 2 , c ) 123 m 2 , d ) 115 m 2 , e ) none of these", "output": [ "b" ] }, { "id": "task1423-7e331797d3fd4e2f8d33e62906a29d2c", "input": "Problem: how many internal diagonals does a hexagon ( six sided polygon ) have ? \nOptions: a ) 5 , b ) 6 , c ) 8 , d ) 9 , e ) 10", "output": [ "d" ] }, { "id": "task1423-3e0a9b300390497d9b823cae4eb3758b", "input": "Problem: 30 square stone slabs of equal size were needed to cover a floor area of 58.8 sq . m . find the length of each stone slab ? \nOptions: a ) 140 cm , b ) 767 cm , c ) 88 cm , d ) 666 cm , e ) 776 cm", "output": [ "a" ] }, { "id": "task1423-b1f817e43ecf4eb18e8a177ff8cc8c6d", "input": "Problem: three table runners have a combined area of 212 square inches . by overlapping the runners to cover 80 % of a table of area 175 square inches , the area that is covered by exactly two layers of runner is 24 square inches . what is the area of the table that is covered with three layers of runner ? \nOptions: a ) 18 square inches , b ) 20 square inches , c ) 24 square inches , d ) 28 square inches , e ) 30 square inches", "output": [ "c" ] }, { "id": "task1423-ece520ebeb9f406faf3839962fad69af", "input": "Problem: calculate the area of a triangle , if the sides of are 65 cm , 60 cm and 25 cm , what is its area ? \nOptions: a ) 850 cm 2 , b ) 750 cm 2 , c ) 450 cm 2 , d ) 550 cm 2 , e ) 650 cm 2", "output": [ "b" ] }, { "id": "task1423-bd2d8db67a3a4e229d9ed5304369bf6c", "input": "Problem: in a new housing development , trees are to be planted along the sidewalk of a certain street . each tree takes up one square foot of sidewalk space , and there are to be 10 feet between each tree . how many trees can be planted if the road is 166 feet long ? \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 16", "output": [ "e" ] }, { "id": "task1423-c7b66076c13a45ce9f922b475a8c79c8", "input": "Problem: a rectangular farm has to be fenced one long side , one short side and the diagonal . if the cost of fencing is rs . 15 per meter . the area of farm is 1200 m 2 and the short side is 30 m long . how much would the job cost ? \nOptions: ['a ) 1276', 'b ) 1200', 'c ) 2832', 'd ) 1800', 'e ) 1236']", "output": [ "d" ] }, { "id": "task1423-f4809c62cc1b4931a30c4543c060e9b9", "input": "Problem: if y is the smallest positive integer such that 4410 multiplied by y is the square of an integer , then y must be \nOptions: ['a ) 2', 'b ) 5', 'c ) 6', 'd ) 7', 'e ) 10']", "output": [ "e" ] }, { "id": "task1423-b5ae7c4deb7047ea9d3f5874cac3ec0d", "input": "Problem: the surface area of a sphere is 4 π r 2 , where r is the radius of the sphere . if the area of the base of a hemisphere is 3 , what is the surface area q of that hemisphere ? \nOptions: a ) 6 / π , b ) 9 / π , c ) 6 , d ) 9 , e ) 12", "output": [ "d" ] }, { "id": "task1423-6251104dbdbd4730928541cfab003fc0", "input": "Problem: the area of a square is equal to five times the area of a rectangle of dimensions 60 cm * 12 cm . what is the perimeter of the square ? \nOptions: a ) 289 cm , b ) 800 cm , c ) 829 cm , d ) 288 cm , e ) 240 cm", "output": [ "e" ] }, { "id": "task1423-b15cc6e3d9e9482e9e8a6979f824cb74", "input": "Problem: the monthly rent of a shop of dimension 20 feet × 15 feet is rs . 3600 . what is the annual rent per square foot of the shop ? \nOptions: a ) 43 , b ) 144 , c ) 68 , d ) 87 , e ) 92", "output": [ "b" ] }, { "id": "task1423-b1b2ed7974094ea2bcabe00bb3de1b5c", "input": "Problem: two cubes have their volumes in the ratio 1 : 27 . find the ratio of their surface areas . \nOptions: ['a ) 1 : 9', 'b ) 2 : 9', 'c ) 3 : 9', 'd ) 5 : 9', 'e ) none of them']", "output": [ "a" ] }, { "id": "task1423-0ac9285ae4fe49dba43424a480ae88b5", "input": "Problem: can v and can в are both right circular cylinders . the radius of can v is twice the radius of can b , while the height of can v is half the height of can b . if it costs $ 4.00 to fill half of can b with a certain brand of gasoline , how much would it cost to completely fill can v with the same brand of gasoline ? \nOptions: ['a ) $ 1', 'b ) $ 2', 'c ) $ 4', 'd ) $ 8', 'e ) $ 16']", "output": [ "e" ] }, { "id": "task1423-9571b56a5a8f4ec0897cc9300d27eef9", "input": "Problem: find the area of a parallelogram with base 22 cm and height 14 cm ? \nOptions: a ) 298 cm 2 , b ) 384 cm 2 , c ) 308 cm 2 , d ) 286 cm 2 , e ) 276 cm 2", "output": [ "c" ] }, { "id": "task1423-542ff6fe89ee4af2a6b712520bd6ce1b", "input": "Problem: 5 cylinders are built successively , the first is 4 meters tall and the following cylinders are each 4 meters taller than the previous . if the perimeter is 10 pi m , what is the total surface area of the 5 cylinders , excluding the bases of each cylinder ? \nOptions: ['a ) 725 pi sq m', 'b ) 1025 pi sq m', 'c ) 600 pi sq m', 'd ) 125 pi sq m', 'e ) 850 pi sq m']", "output": [ "a" ] }, { "id": "task1423-cf624755027447cfbe644db471972a7c", "input": "Problem: the measurement of a rectangular box with lid is 25 cmx 18 cmx 18 cm . find the volume of the largest sphere that can be inscribed in the box ( in terms of π cm 3 ) . ( hint : the lowest measure of rectangular box represents the diameter of the largest sphere ) \nOptions: a ) 288 , b ) 48 , c ) 72 , d ) 972 , e ) 964", "output": [ "d" ] }, { "id": "task1423-3631ce45b5c64277bd9ec3702d3302f9", "input": "Problem: two circular frames are kept one above the other . frame x has a diameter of 16 cm and frame y has a diameter of 12 cm . what fraction of the surface of frame x is not covered by frame y ? \nOptions: ['a ) 3 / 5', 'b ) 7 / 16', 'c ) 12 / 16', 'd ) 24 / 12', 'e ) 2 / 3']", "output": [ "b" ] }, { "id": "task1423-4b805da388714511906097b22d0b2b22", "input": "Problem: the area of a square is 4624 sq cm . find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square . \nOptions: a ) 5 : 28 , b ) 5 : 19 , c ) 5 : 12 , d ) 5 : 13 , e ) 11 : 34", "output": [ "e" ] }, { "id": "task1423-b110783dd1e8484f8fd126bef68e9e41", "input": "Problem: the length of a rectangle is two - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 1600 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ? \nOptions: a ) 140 , b ) 99 , c ) 88 , d ) 160 , e ) 12", "output": [ "d" ] }, { "id": "task1423-2e6d233af73f476b80df46bf4f5488be", "input": "Problem: the product of the squares of two positive integers is 1600 . how many pairs of positive integers satisfy this condition ? \nOptions: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", "output": [ "e" ] }, { "id": "task1423-4f70dbc3aa8e4f77b78f4d40810a5593", "input": "Problem: the ratio of the volumes of two cubes is 125 : 512 . what is the ratio of their total surface areas ? \nOptions: a ) 81 : 121 , b ) 25 : 64 , c ) 729 : 1331 , d ) 27 : 121 , e ) none of these", "output": [ "b" ] }, { "id": "task1423-9100653907694bd880f68a2668aa116d", "input": "Problem: a rectangular grass field is 75 m * 55 m , it has a path of 2.8 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ? \nOptions: a ) s . 1518.8 , b ) s . 1327 , c ) s . 1328 , d ) s . 1397 , e ) s . 1927", "output": [ "a" ] }, { "id": "task1423-2979c3998805406da296f7d527d1c434", "input": "Problem: the area of a parallelogram is 242 sq m and its altitude is twice the corresponding base . then the length of the base is ? \nOptions: a ) 8 , b ) 9 , c ) 7 , d ) 11 , e ) 2", "output": [ "d" ] }, { "id": "task1423-ba54011c2f6641c3883b5d90da05f408", "input": "Problem: you buy a piece of land with an area of â ˆ š 1024 , how long is one side of the land plot ? \nOptions: a ) 28 , b ) 29 , c ) 30 , d ) 31 , e ) 32", "output": [ "e" ] }, { "id": "task1423-483de370c9eb4c12906af5344d6dc755", "input": "Problem: how many squares are there between 2011 to 2300 ? ? ? ? \nOptions: ['a ) 3', 'b ) 4', 'c ) 5', 'd ) 6', 'e ) 7']", "output": [ "a" ] }, { "id": "task1423-744c00249f74445ca4f9cf7d6b1b643f", "input": "Problem: how much space , in cubic units , is left vacant when maximum number of 6 x 6 x 6 cubes are fitted in a rectangular box measuring 12 x 18 x 14 ? \nOptions: a ) 428 , b ) 429 , c ) 430 , d ) 431 , e ) 432", "output": [ "e" ] }, { "id": "task1423-f1b461b5b31242f68224636130f159de", "input": "Problem: the area of a square field is 1600 km 2 . how long will it take for a horse to run around at the speed of 16 km / h ? \nOptions: a ) 12 h , b ) 10 h , c ) 8 h , d ) 6 h , e ) none of these", "output": [ "b" ] }, { "id": "task1423-2aed5788cb8447628343dabd3d79b3c5", "input": "Problem: the parameter of a square is equal to the perimeter of a rectangle of length 7.5 cm and breadth 6.5 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) ? \nOptions: a ) 10.2 , b ) 10.27 , c ) 10.23 , d ) 10.21 , e ) 10.25", "output": [ "d" ] }, { "id": "task1423-df7d10a30b9744d8b017369e52a16ed2", "input": "Problem: 50 square stone slabs of equal size were needed to cover a floor area of 98 sq . m . find the length of each stone slab ? \nOptions: a ) 140 cm , b ) 767 cm , c ) 88 cm , d ) 666 cm , e ) 776 cm", "output": [ "a" ] }, { "id": "task1423-4c3af432552f4e68837f82da0b56c141", "input": "Problem: a rectangular swimming pool is 8 feet by 20 feet . a deck that has uniform width surrounds the pool . the total area of the pool and deck is 540 square feet . what is the width of the deck ? \nOptions: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", "output": [ "e" ] }, { "id": "task1423-1665d2b929004e998f0ed89b8c1e0233", "input": "Problem: a rectangle having length 120 cm and width 50 cm . if the length of the rectangle is increased by ten percent then how much percent the breadth should be decreased so as to maintain the same area . \nOptions: a ) 25 % , b ) 33.33 % , c ) 40 % , d ) 7.69 % , e ) none of these", "output": [ "d" ] }, { "id": "task1423-e0c1e31a16e44373b4b523fb05c50d16", "input": "Problem: a rectangular room 14 m long , 12 m broad is surrounded by a varandah , 3 m wide . find the area of the varandah ? \nOptions: ['a ) 170', 'b ) 180', 'c ) 190', 'd ) 210', 'e ) 150']", "output": [ "b" ] }, { "id": "task1423-b13385233f444569a50957c68f2f648f", "input": "Problem: a rectangular carpet has an area of 60 sq . m . if its diagonal and longer side together equal 5 times the shorter side , the length of the carpet is : \nOptions: ['a ) 5 m', 'b ) 12 m', 'c ) 13 m', 'd ) 14.5 m', 'e ) 15.5 m']", "output": [ "b" ] }, { "id": "task1423-7091660fafc346a09682d25ac5cd40e1", "input": "Problem: a rectangle has a perimeter of 176 inches . the length of the rectangle is 8 inches more than its width . what is the area of the rectangle ? \nOptions: ['a ) 1,408 square inches', 'b ) 1,920 square inches', 'c ) 1,936 square inches', 'd ) 2,304 square inches', 'e ) none of these']", "output": [ "b" ] }, { "id": "task1423-87112aff4503465a998b75ff052c1055", "input": "Problem: a circle graph shows how the budget of a certain company was spent : 15 percent for transportation , 9 percent for research and development , 5 percent for utilities , 4 percent for equipment , 2 percent for supplies , and the remainder for salaries . if the area of each sector of the graph is proportional to the percent of the budget it represents , how many degrees of the circle are used to represent salaries ? \nOptions: a ) 216 ° , b ) 222 ° , c ) 228 ° , d ) 234 ° , e ) 240 °", "output": [ "d" ] }, { "id": "task1423-41d2914d9fbd433ebc50c6e68d647f13", "input": "Problem: the diagonals of a rhombus are 15 cm and 20 cm . find its area ? \nOptions: a ) 158 , b ) 129 , c ) 150 , d ) 123 , e ) 117", "output": [ "c" ] }, { "id": "task1423-e7ffc0c577a8446f89e30f9119192fba", "input": "Problem: a rectangular rug with side lengths of 2 feet and 7 feet is placed on a square floor that has an area of 64 square feet . if the surface of the rug does not extend beyond the area of the floor , what fraction of the area of the floor is not covered by the rug ? \nOptions: ['a ) a . 3 / 16', 'b ) 1 / 4', 'c ) c . 1 / 2', 'd ) 25 / 32', 'e ) 7 / 8']", "output": [ "d" ] }, { "id": "task1423-779281ff079f4850a801c402a9848d62", "input": "Problem: two isosceles triangles have equal vertical angles and their areas are in the ratio 16 : 36 . find the ratio of their corresponding heights . \nOptions: a ) 4 / 6 , b ) 5 / 4 , c ) 3 / 2 , d ) 5 / 7 , e ) 2 / 3", "output": [ "a" ] }, { "id": "task1423-07165a3abbee44a9a10c18f8325a1b62", "input": "Problem: the ratio of radius of a circle and the side of a square is 2 : 5 . find the ratio of their areas : \nOptions: a ) 2 : 1 , b ) 4 : 25 , c ) 8 : 77 , d ) 4 : 121 , e ) none", "output": [ "b" ] }, { "id": "task1423-8bca00429852425a9ea8353ca5cdd0b7", "input": "Problem: find the area of a rhombus one side of which measures 20 cm and one diagonal is 23 cm . \nOptions: a ) 100 cm 2 , b ) 150 cm 2 , c ) 300 cm 2 , d ) 368 cm 2 , e ) 400 cm 2", "output": [ "d" ] }, { "id": "task1423-33772d68c2d240c180c97435b5201a6b", "input": "Problem: an order was placed for a carpet whose length and width were in the ratio of 3 : 2 . subsequently , the dimensions of the carpet were altered such that its length and width were in the ratio 2 : 1 but were was no change in its perimeter . what is the ratio of the areas of the carpets ? \nOptions: a ) 7 : 5 , b ) 12 : 11 , c ) 17 : 15 , d ) 22 : 17 , e ) 27 : 25", "output": [ "e" ] }, { "id": "task1423-b250f9d8912f4988a4c4cd4f8dccf3ee", "input": "Problem: the length of a rectangular garden is 2 feet longer than 3 times its width . if the perimeter of the garden is 100 feet , find the length of the garden . \nOptions: ['a ) 42', 'b ) 38', 'c ) 28', 'd ) 57', 'e ) 49']", "output": [ "b" ] }, { "id": "task1423-3d8569cfe3b14aa2b0f78f83c7714527", "input": "Problem: the radius of a semicircle is 7 . what is the approximate perimeter of the semicircle ? \nOptions: ['a ) 36', 'b ) 25', 'c ) 15', 'd ) 28', 'e ) 37']", "output": [ "a" ] }, { "id": "task1423-39196025b46e4cb4b31f9fa64ad79581", "input": "Problem: if a square mirror has a 20 - inch diagonal , what is the approximate perimeter q of the mirror , in inches ? \nOptions: a ) 40 , b ) 60 , c ) 80 , d ) 100 , e ) 120", "output": [ "b" ] }, { "id": "task1423-5e1866e998714f3e9cb2b408b805adf1", "input": "Problem: three walls have wallpaper covering a combined area of 300 square meters . by overlapping the wallpaper to cover a wall with an area of 180 square meters , the area that is covered by exactly two layers of wallpaper is 40 square meters . what is the area that is covered with three layers of wallpaper ? \nOptions: a ) 5 square meters , b ) 36 square meters , c ) 40 square meters , d ) 83.3 square meters , e ) 120 square meters", "output": [ "c" ] }, { "id": "task1423-bc784567df3a4dd88585ce3f87863315", "input": "Problem: the length of each side of square a is increased by 100 percent to make square b . if the length of the side of square b is increased by 60 percent to make square c , by what percent is the area of square c greater than the sum of the areas of squares a and b ? \nOptions: a ) 75 % , b ) 80 % , c ) 104.8 % , d ) 150.5 % , e ) 180 %", "output": [ "c" ] }, { "id": "task1423-0e1f55b96901437f9dca7643fda47679", "input": "Problem: a spirit and water solution is sold in a market . the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has . a solution of 1 liter of spirit and 1 liter of water costs 30 cents . how many cents does a solution of 1 liter of spirit and 2 liters of water cost ? \nOptions: a ) 13 , b ) 30 , c ) 50 , d ) 51 , e ) 52", "output": [ "b" ] }, { "id": "task1423-0d7f6c24b7e94d08a40078882e1f44e3", "input": "Problem: a specialized type of sand consists of 40 % mineral x by volume and 60 % mineral y by volume . if mineral x weighs 2.5 grams per cubic centimeter and mineral y weighs 2 grams per cubic centimeter , how many grams does a cubic meter of specialized sand combination weigh ? ( 1 meter = 100 centimeters ) \nOptions: a ) 5 , 500,000 , b ) 2 , 200,000 , c ) 55,000 , d ) 28,000 , e ) 280", "output": [ "b" ] }, { "id": "task1423-26d1f834b17c4635b4110a736d56e7c5", "input": "Problem: the length of a rectangle is twice its breadth . if its length is decreased by 5 cm and breadth is increased by 5 cm , the area of the rectangle is increased by 75 sq . cm . find the length of the rectangle . \nOptions: a ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) none of them", "output": [ "d" ] }, { "id": "task1423-c419770a06e844f9afeb4dbc44027ab0", "input": "Problem: if the radius of a circle that centers at the origin is 5 , how many j points on the circle have integer coordinates ? \nOptions: ['a ) 4', 'b ) 8', 'c ) 12', 'd ) 15', 'e ) 20']", "output": [ "c" ] }, { "id": "task1423-778b330a366246aaabe6ef43f5684460", "input": "Problem: a rectangular grass field is 60 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ? \nOptions: a ) 1350 , b ) 1200 , c ) 9676 , d ) 1679 , e ) 2691", "output": [ "b" ] }, { "id": "task1423-f5d319e556784c83be7202c6ea5e0e17", "input": "Problem: a larger cube has 8 cubic inch as a volume and in the cube there are 8 smaller cubes such that their volume is 1 cubic inch . what is the difference between the surface areas ’ sum of the 8 smaller cubes and the surface area of the larger cube , in square inch ? \nOptions: ['a ) 24', 'b ) 64', 'c ) 81', 'd ) 108', 'e ) 120']", "output": [ "a" ] }, { "id": "task1423-28b39f638c4148129980f88fb2066fdc", "input": "Problem: a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 80 sq . feet , how many feet of fencing will be required ? \nOptions: a ) 28 , b ) 40 , c ) 68 , d ) 88 , e ) 78", "output": [ "a" ] }, { "id": "task1423-b323889d9abf408d899978ed0662c4f7", "input": "Problem: a lady grows cabbage in her garden that is in the shape of a square . each cabbage takes 1 square foot of area in her garden . this year , she has increased her output by 127 cabbages when compared to last year . the shape of the area used for growing the cabbage has remained a square in both these years . how many cabbages did she produce this year ? \nOptions: a ) 4096 , b ) 4098 , c ) 5000 , d ) 5096 , e ) can not be determined", "output": [ "a" ] }, { "id": "task1423-2dbbe218dc57469bb824ccfefb3302e5", "input": "Problem: if the sides of a triangle are 196 cm , 81 cm and 277 cm , what is its area ? \nOptions: a ) 5000 , b ) 5656 , c ) 7878 , d ) 7900 , e ) 7938", "output": [ "e" ] }, { "id": "task1423-cad9b01eacc74d0ab5b9132d31f79fd8", "input": "Problem: what is the area of square field whose side of length 17 m ? \nOptions: a ) 225 , b ) 777 , c ) 266 , d ) 289 , e ) 261", "output": [ "d" ] }, { "id": "task1423-9f45d3432c044518a8bcd40a42c5f91d", "input": "Problem: a block of wood has dimensions 10 cm x 10 cm x 90 cm . the block is painted red and then cut evenly at the 45 cm mark , parallel to the sides , to form two rectangular solids of equal volume . what percentage of the surface area of each of the new solids is not painted red ? \nOptions: a ) 5 % , b ) 10 % , c ) 15 % , d ) 20 % , e ) 25 %", "output": [ "a" ] }, { "id": "task1423-b4440022aee649b9afd543131f0b5056", "input": "Problem: a horse is tethered to one corner of a rectangular grassy field 40 m by 24 m with a rope 14 m long . over how much area of the field can it graze ? \nOptions: ['a ) 154 cm 2', 'b ) 308 m 2', 'c ) 150 m 2', 'd ) 407 m 2', 'e ) none of these']", "output": [ "a" ] }, { "id": "task1423-7011f2b6a47040d899fbf1c94904ba01", "input": "Problem: a rope can make 70 rounds of the circumference of a cylinder whose radius of the base is 14 cm . how many times can it go round a cylinder having radius 20 cm ? \nOptions: ['a ) 49 rounds', 'b ) 42 rounds', 'c ) 54 rounds', 'd ) 52 rounds', 'e ) none of these']", "output": [ "a" ] }, { "id": "task1423-a784c4b2e5e241409aeb806d512b053e", "input": "Problem: what is the measure of the radius of the circle inscribed in a triangle whose sides measure 4 , 11 and 12 units ? \nOptions: ['a ) 1.6 units', 'b ) 6 units', 'c ) 3 units', 'd ) 5 units', 'e ) 12 units']", "output": [ "a" ] }, { "id": "task1423-db19f8fe71754f3c9b3a6cbdfbf85d72", "input": "Problem: if the sum of a number and its square is 240 , what is the number ? \nOptions: a ) 15 , b ) 77 , c ) 25 , d ) 87 , e ) 171", "output": [ "a" ] }, { "id": "task1423-154fc24a1f4b42c19d8fd9cd091306db", "input": "Problem: if anangletis defined as 1 percent of 1 degree , then how many anglets are there in a quarter circle ? \nOptions: a ) 0.36 , b ) 3.6 , c ) 9000 , d ) 3,600 , e ) 36,000", "output": [ "c" ] }, { "id": "task1423-271a5f191dbc473c81959e62233c3f03", "input": "Problem: the area of a rectangular plot is 360 square metres . if the length is 25 % less than the breadth , what is the breadth of the plot ? \nOptions: ['a ) 32 m', 'b ) 12 m', 'c ) 20 m', 'd ) 22 m', 'e ) 25 m']", "output": [ "d" ] }, { "id": "task1423-71fcea7c02734da891dab7aefc5133eb", "input": "Problem: the area of a square garden is q square feet and the perimeter is p feet . if q = 2 p + 48 , what is the perimeter of the garden in feet ? \nOptions: a ) 36 , b ) 40 , c ) 44 , d ) 48 , e ) 52", "output": [ "d" ] }, { "id": "task1423-77932a42a75946648072dcbe237297cf", "input": "Problem: square a is inscribed in circle b . if the perimeter of a is 32 , what is the circumference of b ? \nOptions: ['a ) 6 √ 2 π', 'b ) 4 √ 2 π', 'c ) 8 √ 2 π', 'd ) 7 √ 2 π', 'e ) 5']", "output": [ "c" ] }, { "id": "task1423-488438bc88d8497480f31725d1489459", "input": "Problem: the volumes of two cones are in the ratio 1 : 40 and the radii of the cones are in the ratio of 1 : 2 . what is the length of the wire ? \nOptions: a ) 8 : 5 , b ) 8 : 9 , c ) 2 : 2 , d ) 8 : 2 , e ) 2 : 8", "output": [ "a" ] }, { "id": "task1423-85afe5c48b7d464c986006e26d1ec33a", "input": "Problem: the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 972 sq m , then what is the breadth of the rectangular plot ? \nOptions: a ) 16 , b ) 17 , c ) 18 , d ) 19 , e ) 14", "output": [ "c" ] }, { "id": "task1423-2cf22cd9d0f24028a8a4ca84839f8a6b", "input": "Problem: if the length of the sides of two cubes are in the ratio 7 : 1 , what is the ratio of their total surface area ? \nOptions: a ) 7 : 1 , b ) 14 : 1 , c ) 21 : 1 , d ) 42 : 1 , e ) 49 : 1", "output": [ "e" ] }, { "id": "task1423-10b29076aefd487d9bbf0c5f34655aa0", "input": "Problem: the diagonal of a rectangle is cm and its area is 20 sq . cm . the perimeter of the rectangle must be : \nOptions: ['a ) 18', 'b ) 77', 'c ) 625', 'd ) 276', 'e ) 191']", "output": [ "a" ] }, { "id": "task1423-8275ccbdac234368999857e95950bf35", "input": "Problem: how many odd numbers between 10 and 1200 are the squares of integers ? \nOptions: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16", "output": [ "d" ] }, { "id": "task1423-e7efce97cf8b46bdbdb940cd5227c933", "input": "Problem: a rectangular tiled patio is composed of 30 square tiles . the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles . after the change in layout , the patio will still have 30 tiles , and it will still be rectangular . how many rows are in the tile patio before the change in layout ? \nOptions: a ) 5 , b ) 6 , c ) 10 , d ) 13 , e ) 28", "output": [ "a" ] }, { "id": "task1423-19d7c19df3694ccd800d92cf214b7b52", "input": "Problem: abcd is a square aegf is a rectangle . . such that the rectangle shares 25 % of the area of the suare also ae lies on the line ab and ag lies on segment of ad . if the square shares half the area of the rectangle what is the ratio ae : ag ? \nOptions: ['a ) 1 : 4', 'b ) 8 : 1', 'c ) 4 : 1', 'd ) 3 : 1', 'e ) 1 : 3']", "output": [ "b" ] }, { "id": "task1423-e75c1f3ad81b4b23adf754d0b95c5114", "input": "Problem: if the area of a circle is 36 pi square feet , find its circumference . \nOptions: a ) 65 pi feet , b ) 43 pi feet , c ) 12 pi feet , d ) 18 pi feet , e ) 64 pi feet", "output": [ "c" ] }, { "id": "task1423-5fb4337d50504717816b520908872ae7", "input": "Problem: a 11 meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ? \nOptions: a ) 5 / 8 , b ) 1 / 5 , c ) 6 / 11 , d ) 3 / 11 , e ) 2 / 5", "output": [ "c" ] }, { "id": "task1423-26f1820106064fb0920e4b9809e80d5f", "input": "Problem: if the length of the longest chord of a certain circle is 20 , what is the radius of that certain circle ? \nOptions: a ) 2.5 , b ) 5 , c ) 10 , d ) 15 , e ) 20", "output": [ "c" ] }, { "id": "task1423-1fa25c196e794cfa831ba7f8eb3140aa", "input": "Problem: the base of a triangular field is three times its altitude . if the cost of cultivating the field at rs . 24.68 per hectare be rs . 333.18 , find its base and height . \nOptions: ['a ) 100 m', 'b ) 125 m', 'c ) 150 m', 'd ) 278 m', 'e ) 300 m']", "output": [ "e" ] }, { "id": "task1423-123424b85a58430bbd0440d75880634a", "input": "Problem: ratio between length and breath of a rectangle is 25 : 16 . the area of the rectangle is same with a square whose side is 200 . find the breadth and length of the rectangle ? \nOptions: ['a ) 150,200', 'b ) 140,300', 'c ) 100,300', 'd ) 160,250', 'e ) 100,200']", "output": [ "d" ] }, { "id": "task1423-f8520efdd6a941f1bbe70ea0b898fb87", "input": "Problem: a cube is divided into 216 identical cubelets . each cut is made parallel to some surface of the cube . but before doing that , the cube is painted with green on one set of opposite faces , red on another set of opposite faces , and blue on the third set of opposite faces . how many cubelets are painted with exactly one colour ? \nOptions: ['a ) 72', 'b ) 84', 'c ) 96', 'd ) 108', 'e ) 120']", "output": [ "c" ] }, { "id": "task1423-439de11bea3b440fbe74b04ff8c8a54a", "input": "Problem: difference between the length and breadth of a rectangle is 23 m . ifits perimeter is 206 m , then its area is ? ? \nOptions: ['a ) 1220 m ^ 2', 'b ) 1520 m ^ 2', 'c ) 2520 m ^ 2', 'd ) 2600 m ^ 2', 'e ) 3420 m ^ 2']", "output": [ "c" ] }, { "id": "task1423-773584756e6e486dac12c8cc2bda31b2", "input": "Problem: what is the smallest positive perfect square that is divisible by 4 , 10 , and 18 ? \nOptions: ['a ) 900', 'b ) 1,600', 'c ) 2,500', 'd ) 3,600', 'e ) 4,900']", "output": [ "a" ] }, { "id": "task1423-edaedcd5dd4e49a5a4daaecef77cba4f", "input": "Problem: a full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet . oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck ' s tank is completely filled . if the truck ' s tank has a radius of 7 feet and a height of 10 feet , how far ( in feet ) did the oil level drop in the stationary tank ? \nOptions: a ) 0.07 , b ) 0.049 , c ) 0.7 , d ) 0.49 , e ) 4.9", "output": [ "b" ] }, { "id": "task1423-9289f546224540cda92a8160c416f337", "input": "Problem: a lady builds 9 cm length , 12 cm width , and 3 cm height box using 3 cubic cm cubes . what is the minimum number of cubes required to build the box ? \nOptions: a ) 107 , b ) 108 , c ) 109 , d ) 110 , e ) 111", "output": [ "b" ] }, { "id": "task1423-f96d6c55a85d4e608268791850dd907c", "input": "Problem: an error 2 % in excess is made while measuring the side of asquare . the % of error in the calculated area of the square is ? \nOptions: a ) 4.00 % , b ) 4.04 % , c ) 4.26 % , d ) 4.56 % , e ) 4.67 %", "output": [ "b" ] }, { "id": "task1423-45d9bda8e3bf434897c42021b4bc9b10", "input": "Problem: in may , the grounds keeper at spring lake golf club built a circular green with an area of 49 π square feet . in august , he doubled the distance from the center of the green to the edge of the green . what is the total area of the renovated green ? \nOptions: a ) 100 pi , b ) 144 pi , c ) 196 pi , d ) 80 , e ) 90", "output": [ "c" ] }, { "id": "task1423-0321349bf85d41258e42be093fa9a076", "input": "Problem: the side of a square is increased by 30 % then how much % does its area increases ? \nOptions: a ) 52.65 , b ) 69 , c ) 50.75 , d ) 42.75 , e ) 52.75", "output": [ "b" ] }, { "id": "task1423-a6bb39252ea84bfe8a0dde95d70d45c4", "input": "Problem: what will be the percentage increase in the area of the cube ' s surface if each of the cube ' s edges grows by 40 % ? \nOptions: a ) 95 % , b ) 90 % , c ) 85 % , d ) 96 % , e ) 25 %", "output": [ "d" ] }, { "id": "task1423-16a6de8ad3ab4f378c030a5336758c25", "input": "Problem: if the height of a cone is increased by 140 % then its volume is increased by ? \nOptions: ['a ) 100', 'b ) 140', 'c ) 998', 'd ) 729', 'e ) 2879']", "output": [ "b" ] }, { "id": "task1423-9d75fab04bf54158be1778eee3fdd16f", "input": "Problem: a rectangular grass field is 75 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 1 per sq m ? \nOptions: a ) 675 , rs . 1350 , b ) 575 , rs . 675 , c ) 1350 , rs . 675 , d ) 1450 , rs . 775 , e ) 1550 , rs . 875", "output": [ "b" ] }, { "id": "task1423-4dab673f11b1484c956be183afca9193", "input": "Problem: two equilateral triangles of side 12 cm are placed one on top of another , such that a 6 pointed star is formed . if the six verticals lie on a circle what is the area of the circle not enclosed by the star ? \nOptions: ['a ) 68', 'b ) 83', 'c ) 57', 'd ) 61', 'e ) 62']", "output": [ "a" ] }, { "id": "task1423-2f60f509ec3f4759a677229697b6655b", "input": "Problem: a circular logo is enlarged to fit the lid of a jar . the new diameter is 20 per cent larger than the original . by what percentage has the area of the logo increased ? \nOptions: a ) 50 , b ) 80 , c ) 100 , d ) 44 , e ) 250", "output": [ "d" ] }, { "id": "task1423-6353599ee1994d0d87d46f80ac0efae0", "input": "Problem: the edge of a cube is 4 a cm . find its surface ? \nOptions: a ) 24 a 8 , b ) 24 a 4 , c ) 96 a 2 , d ) 24 a 2 , e ) 24 a 7", "output": [ "c" ] }, { "id": "task1423-f5db2c6b85994cf18915b2737c859841", "input": "Problem: the length and breadth of a rectangle is increased by 10 % and 25 % respectively . what is the increase in the area ? \nOptions: ['a ) 37.2 %', 'b ) 37.5 %', 'c ) 30.2 %', 'd ) 37.7 %', 'e ) 33.2 %']", "output": [ "b" ] }, { "id": "task1423-0811175c816c494ab9badb6f9537d108", "input": "Problem: the sides of a square region , measured to the nearest centimeter , are 4 centimeters long . the least possible value of the actual area of the square region is \nOptions: a ) 15.25 sq cm , b ) 18.25 sq cm , c ) 12.25 sq cm , d ) 21.25 sq cm , e ) 25.25 sq cm", "output": [ "c" ] }, { "id": "task1423-b60d0cd0b4f74bc18d2de87a2888f4e2", "input": "Problem: in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 3.5 ) , ( 7 , 0 ) , ( 0 , - 3.5 ) , ( - 7 , 0 ) ? \nOptions: a ) 56 , b ) 88 , c ) 112 , d ) 49 , e ) 120", "output": [ "d" ] }, { "id": "task1423-03b8e7543105488fa9d4f9ec2d9e46c0", "input": "Problem: what is the area of an obtuse angled triangle whose two sides are 8 and 12 and the angle included between the two sides is 150 o ? \nOptions: ['a ) 24 sq units', 'b ) 48 sq units', 'c ) 24 under root 3', 'd ) 48 under root 3', 'e ) such a triangle does not exist']", "output": [ "a" ] }, { "id": "task1423-b23a2e3025c4477a926c926b023ede34", "input": "Problem: a rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn . the area of the lawn is 2109 sq . m . what is the width of the road ? \nOptions: a ) 5 m , b ) 4 m , c ) 2 m , d ) 3 m , e ) 6 m", "output": [ "d" ] }, { "id": "task1423-a9fae3da53bb4385bc091bffbc0be85e", "input": "Problem: how many odd numbers between 10 and 1,200 are the squares of integers ? \nOptions: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16", "output": [ "e" ] }, { "id": "task1423-def8e06622894ce59013276cf34bce84", "input": "Problem: the difference of the areas of two squares drawn on two line segments of different lengths is 32 sq . cm . find the length of the greater line segment if one is longer than the other by 2 cm . \nOptions: a ) 6 cm , b ) 7 cm , c ) 9 cm , d ) 11 cm , e ) none", "output": [ "c" ] }, { "id": "task1423-39676ed957d744d4b912ad14c34219d9", "input": "Problem: three interviewers , a , b , and c are interviewing 40 applicants . only with three interviewers ' admission can an applicant be admitted . if interviewer b admitted 15 applicants , a admitted 17 applicants , and c admitted 20 applicants , at least how many applicants get the admission ? \nOptions: ['a ) 8', 'b ) 2', 'c ) 6', 'd ) 0', 'e ) 12']", "output": [ "d" ] }, { "id": "task1423-b07a15f38b8543a8a62e969a88a53fff", "input": "Problem: the perimeter of a rectangle is equal to the perimeter of aright - angled triangle of height 12 cm . if the base of the triangle is equal to the breadth of the rectangle , what is the length of the rectangle ” \nOptions: ['a ) 18 cm', 'b ) 24 cm', 'c ) 22 cm', 'd ) data inadequate', 'e ) none of these']", "output": [ "d" ] }, { "id": "task1423-59dbe7c19adb4525a738dcd69e1c8ac2", "input": "Problem: the surface of a cube is 96 sq cm . find its volume ? \nOptions: ['a ) 8 cc', 'b ) 9 cc', 'c ) 2 cc', 'd ) 4 cc', 'e ) 64 cc']", "output": [ "e" ] }, { "id": "task1423-665b5082e7a94653951c1b1268a44c8d", "input": "Problem: if the sides of a square are multiplied by sqrt ( 20 ) , the area of the original square is how many times as large as the area of the resultant square ? \nOptions: a ) 2 % , b ) 5 % , c ) 20 % , d ) 50 % , e ) 150 %", "output": [ "b" ] }, { "id": "task1423-3bdefcae220b4522b549836868491542", "input": "Problem: what should be added to 4440 so that it may become a perfect square ? \nOptions: ['a ) 44', 'b ) 45', 'c ) 46', 'd ) 47', 'e ) 49']", "output": [ "e" ] }, { "id": "task1423-33fa02c4e5374d37a388d3326e8c0b5e", "input": "Problem: find the perimeter of a triangle with sides measuring 5 centimeters , 20 centimeters and 30 centimeters . \nOptions: a ) 30 cm , b ) 40 cm , c ) 50 cm , d ) 55 cm , e ) 60 cm", "output": [ "d" ] }, { "id": "task1423-c43b26d69df24e09b189858a208551c7", "input": "Problem: the area of a circular field is 13.86 hectares . find the cost of fencing it at the rate of rs . 4.70 per metre . \nOptions: a ) 2399 , b ) 6204 , c ) 2999 , d ) 5808 , e ) 2888", "output": [ "b" ] }, { "id": "task1423-9e3219fbafe9484a8058a5ada91491d1", "input": "Problem: what would be the length of the diagonal of a square plot whose area is equal to the area of a rectangular plot of 45 m length and 40 m width ? \nOptions: ['a ) 42.5 m', 'b ) 60 m', 'c ) 4800 m', 'd ) data inadequate', 'e ) none of these']", "output": [ "b" ] }, { "id": "task1423-6ebfdf177307427dbf9a46ebf8535403", "input": "Problem: the percentage increase in the area of rectangle , if each of its side is increased by 20 % is ? \nOptions: a ) 30 % , b ) 44 % , c ) 50 % , d ) 55 % , e ) 60 %", "output": [ "b" ] }, { "id": "task1423-a07cdd016ef84d13b17bdc0e5b29c688", "input": "Problem: the ratio , by volume , of soap to alcohol to water in a certain solution is 4 : 20 : 60 . the solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved . if the altered solution will contain 100 cubic centimeters of alcohol , how many cubic centimeters of water will it contain ? \nOptions: a ) 1200 , b ) 1250 , c ) 1300 , d ) 1400 , e ) 1450", "output": [ "a" ] }, { "id": "task1423-9a3e293ba548432c93efdb5cd396d467", "input": "Problem: a circular rim a having a diameter of 45 inches is rotating at the rate of x inches / min . another circular rim b with a diameter of 30 inches is rotating at the rate of y inches / min . what is the value of y in terms of x , if both the rims reach their starting positions at the same time after every rotation . \nOptions: ['a ) 3 x / 2', 'b ) 4 x / 5', 'c ) 7 x / 5', 'd ) 5 x / 7', 'e ) 3 x / 4']", "output": [ "a" ] }, { "id": "task1423-c5c694acca744ff4923dc058d5a343ab", "input": "Problem: the sides of a cube measures 8 cm . if the surface area of the cube is the same as a ball , what is the radius of the ball ? round to the nearest whole number . \nOptions: a ) 3 , b ) 8 , c ) 7 , d ) 6 , e ) 5", "output": [ "d" ] }, { "id": "task1423-5f23d3f48ad34af6bcb41af5b434857d", "input": "Problem: if a 5 cm cube is cut into 1 cm cubes , then what is the percentage increase in the surface area of the resulting cubes ? \nOptions: a ) 100 % , b ) 200 % , c ) 300 % , d ) 400 % , e ) 500 %", "output": [ "d" ] }, { "id": "task1423-1786fe87703f43429568dcf508d63697", "input": "Problem: the sides of a rectangle are in the ratio of 6 : 5 and its area is 1331 sq . m . find the perimeter of rectangle . \nOptions: a ) 121 , b ) 123 , c ) 125 , d ) 122 , e ) 126", "output": [ "a" ] }, { "id": "task1423-4749115ad5c34ef290f85bc97d7e249a", "input": "Problem: the volume of a certain substance is always directly proportional to its weight . if 48 cubic inches of the substance weigh 112 ounces , what is the volume , in cubic inches , of 56 ounces of this substance ? \nOptions: a ) 27 , b ) 36 , c ) 42 , d ) 24 , e ) 147", "output": [ "d" ] }, { "id": "task1423-d5d2131b4653464b9aab9af788bfb08d", "input": "Problem: what is the area of a square field whose diagonal of length 12 m ? \nOptions: a ) 288 , b ) 72 , c ) 200 , d ) 112 , e ) 178", "output": [ "b" ] }, { "id": "task1423-f182237c1eca43229e5c37d73253bd1b", "input": "Problem: a rectangular metallic piece of paper that covers exactly the area of a cube . the length of the piece of paper is 48 inches and the width is 72 inches . what is the volume of the cube in cubic feet is 1 feet is 12 inches ? \nOptions: a ) a 8 , b ) b 22 , c ) c 27 , d ) d 40 , e ) e 51", "output": [ "a" ] }, { "id": "task1423-3cf2d608d41c4712b625597e8370598e", "input": "Problem: a semicircle has a radius of 12 . what is the approximate perimeter of the semicircle ? \nOptions: a ) 58 , b ) 62 , c ) 66 , d ) 70 , e ) 74", "output": [ "b" ] }, { "id": "task1423-c50662a595404be38de322d7720298e4", "input": "Problem: if the area of a square with sides of length 11 centimeters is equal to the area of a rectangle with a width of 11 centimeters , what is the length of the rectangle , in centimeters ? \nOptions: a ) 4 , b ) 8 , c ) 11 , d ) 16 , e ) 18", "output": [ "c" ] }, { "id": "task1423-05c86a01412e40389f2885e0ec4e6946", "input": "Problem: if the sides of a triangle are 78 cm , 72 cm and 30 cm , what is its area ? \nOptions: a ) 120 cm 2 , b ) 765 cm 2 , c ) 1080 cm 2 , d ) 197 cm 2 , e ) 275 cm 2", "output": [ "c" ] }, { "id": "task1423-c0bb175dbd2f4ed38e13cbeea9f699a8", "input": "Problem: the length and breadth of a rectangle is increased by 3 % and 6 % respectively . what is the increase in the area ? \nOptions: a ) 9.18 , b ) 9.25 , c ) 9.5 , d ) 8.98 , e ) 8.88", "output": [ "a" ] }, { "id": "task1423-0f7c5c02a09f4f4089f4a2c188ec48f5", "input": "Problem: if the sides of a rectangle are increased by 25 % , what is the percentage increase in the area ? \nOptions: a ) 54.25 % , b ) 56.25 $ , c ) 53.25 % , d ) 55.25 % , e ) 58.25 %", "output": [ "b" ] }, { "id": "task1423-560d9cf96a21410c91bf16d6075b3a9c", "input": "Problem: a rectangular photograph is surrounded by a border that is 2 inch wide on each side . the total area of the photograph and the border is m square inches . if the border had been 4 inches wide on each side , the total area would have been ( m + 94 ) square inches . what is the perimeter of the photograph , in inches ? \nOptions: a ) 34 , b ) 36 , c ) 23 , d ) 40 , e ) 42", "output": [ "c" ] }, { "id": "task1423-15e4f6508f2e4c4d93d784f9b66a2c50", "input": "Problem: in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 3.5 ) , ( 6 , 0 ) , ( 0 , - 3.5 ) , ( - 6 , 0 ) ? \nOptions: a ) 42 , b ) 56 , c ) 88 , d ) 112 , e ) 116", "output": [ "a" ] }, { "id": "task1423-ea62851dc79541e09373bcb88ce22c80", "input": "Problem: the perimeter of a triangle is 48 cm and the in radius of the triangle is 2.5 cm . what is the area of the triangle ? \nOptions: a ) 76 , b ) 88 , c ) 60 , d ) 55 , e ) 35", "output": [ "c" ] }, { "id": "task1423-11e9611abe1d4225bc12439955894f30", "input": "Problem: in the coordinate plane , a circle centered on point ( 3 , - 4 ) passes through point ( 1 , 1 ) . what is the area of the circle ? \nOptions: a ) 29 π , b ) 18 π , c ) 25 π , d ) 37 π , e ) 41 π", "output": [ "a" ] }, { "id": "task1423-d28d6ae339a44571894875c9322faec0", "input": "Problem: one side of a rectangular field is 14 m and one of its diagonal is 17 m . find the area of the field . \nOptions: a ) 134.4 , b ) 120 , c ) 150 , d ) 180 , e ) none", "output": [ "a" ] }, { "id": "task1423-f9522f018f114e0d97c9fc1c93cf7d12", "input": "Problem: a cube of edge 17 cm is immersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 20 cm * 15 cm , find the rise in water level ? \nOptions: a ) 6 cm , b ) 8.25 cm , c ) 11.25 cm , d ) 16.37 cm , e ) 20.62 cm", "output": [ "d" ] }, { "id": "task1423-fde4c3075c9c4954a589c016cb036e1a", "input": "Problem: a circle in the coordinate plane passes through points ( - 3 , - 2 ) and ( - 1 , 4 ) . what is the smallest possible area of that circle ? \nOptions: a ) 13 π , b ) 26 π , c ) 10 π , d ) 52 π , e ) 64 π", "output": [ "c" ] }, { "id": "task1423-9ce1ed85083e47f3aa0eddef8227f34f", "input": "Problem: a rectangle having length 89 cm and width 34 cm . if the length of the rectangle is increased by eighty percent then how much percent the breadth should be decreased so as to maintain the same area . \nOptions: a ) 25 % , b ) 33.33 % , c ) 47.33 % , d ) 75 % , e ) none of these", "output": [ "c" ] }, { "id": "task1423-bdfd2ccd8d594733b4c7c1143f18631e", "input": "Problem: the length of a rectangle hall is 5 m more than its breadth . the area of the hall is 750 m 2 . the length of the hall is : \nOptions: ['a ) 15 m', 'b ) 22.5 m', 'c ) 25 m', 'd ) 30 m', 'e ) none of these']", "output": [ "d" ] }, { "id": "task1423-6d0e2b47015d4e9296a95bb6ff4dd1bd", "input": "Problem: the ratio of the volumes of two cubes is 343 : 512 . what is the ratio of their total surface areas ? \nOptions: a ) 12 : 24 , b ) 8 : 16 , c ) 45 : 25 , d ) 18 : 56 , e ) 49 : 64", "output": [ "e" ] }, { "id": "task1423-0060b2e3c91f47e5afa1863aa4d8ad5b", "input": "Problem: we have a rectangular metallic piece of paper that covers exactly the area of a cube . the length of the piece of paper is 120 inches and the width is 108 inches . what is the volume of the cube in cubic feet is 1 feet is 12 inches ? \nOptions: ['a ) a 125', 'b ) b 120', 'c ) c 70', 'd ) d 40', 'e ) e 10']", "output": [ "a" ] }, { "id": "task1423-da1c9b307f904420b821c091d86d4317", "input": "Problem: find the circumference and area of radius 8 cm . \nOptions: a ) 124 cm ² , b ) 201 cm ² , c ) 210 cm ² , d ) 184 cm ² , e ) 194 cm ²", "output": [ "b" ] }, { "id": "task1423-d708806823c1426ebddbbe79494265da", "input": "Problem: the diagonals of a rhombus are 13 cm and 20 cm . find its area ? \nOptions: a ) 176 , b ) 130 , c ) 150 , d ) 179 , e ) 172", "output": [ "b" ] }, { "id": "task1423-89293c648bbe479fb23e3e7fe4799e8b", "input": "Problem: if the area of a square with sides of length 9 centimeters is equal to the area of a rectangle with a width of 3 centimeters , what is the length of the rectangle , in centimeters ? \nOptions: ['a ) 4', 'b ) 27', 'c ) 12', 'd ) 16', 'e ) 18']", "output": [ "b" ] }, { "id": "task1423-a628dfd798e145bb90eab8d874f4ac0f", "input": "Problem: if a rectangular billboard has an area of 104 square feet and a perimeter of 42 feet , what is the length of each of the longer sides ? \nOptions: a ) 4 , b ) 7 , c ) 8 , d ) 13 , e ) 26", "output": [ "d" ] }, { "id": "task1423-aeb2f0451da9482cb7e6c613b08c08ab", "input": "Problem: the ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm . find the ratio of the breadth and the area of the rectangle ? \nOptions: ['a ) 1 : 96', 'b ) 1 : 99', 'c ) 1 : 95', 'd ) 1 : 12', 'e ) 1 : 11']", "output": [ "a" ] }, { "id": "task1423-28c26d31b6234a358ed98a4a4a573541", "input": "Problem: an error 2 % in excess is made while measuring the side ofa square . the % of error in the calculated area of the square is ? \nOptions: ['a ) 4 %', 'b ) 4.04 %', 'c ) 4.23 %', 'd ) 4.56 %', 'e ) 5 %']", "output": [ "b" ] }, { "id": "task1423-be17d05d7e024b7e8c837877d7fbfea3", "input": "Problem: a circular well with a diameter of 2 metres , is dug to a depth of 10 metres . what is the volume of the earth dug out ? \nOptions: a ) 32 m 3 , b ) 31.4 m 3 , c ) 40 m 3 , d ) 44 m 3 , e ) none", "output": [ "b" ] }, { "id": "task1423-7df548b7093b484faea6e2318f585d82", "input": "Problem: the volume of the greatest sphere that can be cut off from a cylindrical log of wood of base radius 1 cm and height 5 cm is : \nOptions: ['a ) 3 / 4 ∏', 'b ) 4 / 3 ∏', 'c ) 5 ∏', 'd ) 5 / 9 ∏', 'e ) none']", "output": [ "b" ] }, { "id": "task1423-4e58023d81a840a990ae83c22e5aba87", "input": "Problem: in a rectangular coordinate system , what is the area of a quadrilateral whose vertices have the coordinates ( 2 , - 2 ) , ( 2 , 6 ) , ( 14 , 2 ) , ( 14 , - 5 ) ? \nOptions: a ) 90 , b ) 95 , c ) 104 , d ) 117 , e ) 182", "output": [ "a" ] }, { "id": "task1423-0ecda92e27784d6cb346f01f7903fe7d", "input": "Problem: in measuring the sides of a rectangle , one side is taken 8 % in excess , and the other 7 % in deficit . find the error percent in the area calculated from these measurements . \nOptions: a ) 0.11 % , b ) 0.7 % , c ) 0.44 % , d ) 0.6 % , e ) 0.8 %", "output": [ "c" ] }, { "id": "task1423-7bc0eb28c4424f48bcb921413786dd27", "input": "Problem: a rectangular photograph is surrounded by a border that is 3 inch wide on each side . the total area of the photograph and the border is m square inches . if the border had been 6 inches wide on each side , the total area would have been ( m + 178 ) square inches . what is the perimeter of the photograph , in inches ? \nOptions: a ) 34 , b ) 36 , c ) 38 , d ) 40 , e ) 20", "output": [ "e" ] }, { "id": "task1423-7235f752636348aeb762087ba63652de", "input": "Problem: the length of a rectangle is two - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 1225 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ? \nOptions: ['a ) 140 sq . units', 'b ) 158 sq . units', 'c ) 187 sq . units', 'd ) 607 sq . units', 'e ) 815 sq . units']", "output": [ "a" ] }, { "id": "task1423-ce5b38cf64e94306a81cfd6c56a6a99a", "input": "Problem: four equal circles are described about the four corners of a square so that each touches two of the others . if a side of the square is 14 cm , then the area enclosed between the circumferences of the circles is : \nOptions: ['a ) 24 cm 2', 'b ) 42 cm 2', 'c ) 154 cm 2', 'd ) 196 cm 2', 'e ) none of these']", "output": [ "b" ] }, { "id": "task1423-fa2a93fb8072484c9fb59ce7961d665f", "input": "Problem: the diagonals of a rhombus are 20 cm and 25 cm . find its area ? \nOptions: a ) 158 , b ) 129 , c ) 250 , d ) 123 , e ) 117", "output": [ "c" ] }, { "id": "task1423-c642fdb66e024d119ea3414c46799ee8", "input": "Problem: a rectangular lawn of length 200 m by 120 m has two roads running along its center , one along the length and the other along the width . if the width of the roads is 5 m what is the area t covered by the two roads ? \nOptions: a ) 400 , b ) 1550 , c ) 1575 , d ) 1600 , e ) 1625", "output": [ "c" ] }, { "id": "task1423-c5e2b6dc32334ecfaa460e9cf57a0621", "input": "Problem: the length of rectangle is thrice its breadth and its perimeter is 88 m , find the area of the rectangle ? \nOptions: ['a ) 432 sq m', 'b ) 363 sq m', 'c ) 452 sq m', 'd ) 428 sq m', 'e ) 525 sq m']", "output": [ "b" ] }, { "id": "task1423-fc96714a04534f04af39499b9dae29e0", "input": "Problem: a full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet . oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck ' s tank is completely filled . if the truck ' s tank has a radius of 6 feet and a height of 10 feet , how far ( in feet ) did the oil level drop in the stationary tank ? \nOptions: a ) 0.036 , b ) 0.36 , c ) 0.6 , d ) 6 , e ) 3.6", "output": [ "a" ] }, { "id": "task1423-d9f57259fbcf485682e6c7a95a1b715a", "input": "Problem: the perimeter of a triangle is 24 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ? \nOptions: a ) 30 cm 2 , b ) 85 cm 2 , c ) 65 cm 2 , d ) 45 cm 2 , e ) 35 cm 2", "output": [ "a" ] }, { "id": "task1423-8ac5bd18ef1d49fc94d777f0bb2fb4fe", "input": "Problem: the diagonal of a rectangle is 41 cm and its area is 20 sq . cm . the perimeter of the rectangle must be : \nOptions: ['a ) 18 cm', 'b ) 28 cm', 'c ) 30 cm', 'd ) 38 cm', 'e ) 42 cm']", "output": [ "a" ] }, { "id": "task1423-f1c4cca3441b416196fe493dd4f9a85b", "input": "Problem: a cube of edge 5 cm is immersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 10 cm * 5 cm , find the rise in water level ? \nOptions: a ) 2.5 cm , b ) 3.6 cm , c ) 5 cm , d ) 6.43 cm , e ) 7.56 cm", "output": [ "a" ] }, { "id": "task1423-9ebcd22016cc40fb8ca98a664bd6c3a4", "input": "Problem: three interviewers , a , b , and c are interviewing 50 applicants . only with three interviewers ' admission can an applicant be admitted . if interviewer a admitted 20 applicants , b admitted 22 applicants , and c admitted 20 applicants , at least how many applicants get the admission ? \nOptions: a ) 4 , b ) 0 , c ) 6 , d ) 8 , e ) 12", "output": [ "b" ] }, { "id": "task1423-20133138eef3486db0e52ba4ee21cba0", "input": "Problem: a perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer . how many positive integers n are there such that n is less than 50,000 and at the same time n is a perfect square and a perfect cube ? \nOptions: ['a ) 3', 'b ) 4', 'c ) 5', 'd ) 6', 'e ) 7']", "output": [ "d" ] }, { "id": "task1423-f35ad509b4984d8c8f5fc1b07cf7856c", "input": "Problem: a cube is painted such that one pair of surfaces is painted brown and the other pair of surfaces is painted orange . the cube is cut in to 64 small cubes of equal size . find how many cubes have both the color brown and orange ? \nOptions: ['a ) 22', 'b ) 16', 'c ) 11', 'd ) 12', 'e ) 10']", "output": [ "b" ] }, { "id": "task1423-e3665417ca344fb2a8c2b3832f0548d8", "input": "Problem: the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 10 cm each . the radius of the sphere is \nOptions: a ) 3 cm , b ) 5 cm , c ) 6 cm , d ) 8 cm , e ) none", "output": [ "b" ] }, { "id": "task1423-0f29684851a144d29346ed56a82fab62", "input": "Problem: three rugs have a combined area of 204 square meters . by overlapping the rugs to cover floor area of 140 square meters , the area that is covered by exactly two layers of rug is 24 square meters . what is the area that is covered with three layers of rug ? \nOptions: a ) 18 square meters , b ) 20 square meters , c ) 24 square meters , d ) 28 square meters , e ) 30 square meters", "output": [ "b" ] }, { "id": "task1423-91fa27843c6743178079f69d257bf3fd", "input": "Problem: the lengths of the diagonals of a rhombus are 20 and 48 meters . find the perimeter of the rhombus ? \nOptions: ['a ) 150 merters', 'b ) 125 meters', 'c ) 96 meters', 'd ) 104 meters', 'e ) 152 meters']", "output": [ "d" ] }, { "id": "task1423-7f008585160547baa6e1e3d33f77b60c", "input": "Problem: if the sum of a number and its square is 20 , what is the number ? \nOptions: a ) 15 , b ) 26 , c ) 28 , d ) 4 , e ) none of these", "output": [ "d" ] }, { "id": "task1423-085e6c68a831482c9ab023107122cdd1", "input": "Problem: if y is the smallest positive integer such that 3,675 multiplied by y is the square of an integer , then y must be \nOptions: a ) 2 , b ) 5 , c ) 6 , d ) 7 , e ) 12", "output": [ "e" ] }, { "id": "task1423-2e393c123e1148adbeaab0b55e827ccc", "input": "Problem: if the sides of a triangle are 39 cm , 32 cm and 10 cm , what is its area ? \nOptions: a ) 120 , b ) 772 , c ) 288 , d ) 160 , e ) 2848", "output": [ "d" ] }, { "id": "task1423-221e9b8050fa48b19848aaea502bd713", "input": "Problem: the volumes of two cones are in the ratio 1 : 15 and the radii of the cones are in the ratio of 1 : 2 . what is the length of the wire ? \nOptions: a ) 3 : 5 , b ) 3 : 9 , c ) 3 : 2 , d ) 2 : 2 , e ) 3 : 8", "output": [ "a" ] }, { "id": "task1423-96359b8758874b8e96f936ae724cc7cb", "input": "Problem: what is the area of square field whose side of length 25 m ? \nOptions: a ) 225 sq m , b ) 186 sq m , c ) 586 sq m , d ) 287 sq m , e ) 625 sq m", "output": [ "e" ] }, { "id": "task1423-2f2effa656dd4353a1eb3b02dd3abe90", "input": "Problem: a rectangular circuit board is designed to have a width of w inches , a length of l inches , a perimeter of p inches , and an area of c square inches . which of the following equations must be true ? \nOptions: ['a ) 2 w ^ 2 + pw + 2 c = 0', 'b ) 2 w ^ 2 − pw + 2 c = 0', 'c ) 2 w ^ 2 − pw − 2 c = 0', 'd ) w ^ 2 + pw + c = 0', 'e ) w ^ 2 − pw + 2 c = 0']", "output": [ "b" ] }, { "id": "task1423-b874f8a498614ab6b6f76a8def7116be", "input": "Problem: what will be the cost of house to paint which area equal to 484 sq ft , if the price per foot of building is rs . 20 \nOptions: a ) 1800 , b ) 1760 , c ) 1400 , d ) 2600 , e ) 3600", "output": [ "b" ] }, { "id": "task1423-2bb60ae01ffb477aa44667f8e0c7e3b8", "input": "Problem: area of a square is 1 / 2 hectare . the diagonal of the square is ? \nOptions: ['a ) 250 meter', 'b ) 100 meter', 'c ) 50 √ 2 meter', 'd ) 50 meter', 'e ) 35 meter']", "output": [ "b" ] }, { "id": "task1423-768d5bf59b154236b9d42a94a44e3cfc", "input": "Problem: a semicircle is drawn with ab as its diameter . from c , a point on ab , a line perpendicular to ab is drawn , meeting the circumference of the semicircle at d . given that ac = 2 cm and cd = 6 cm , the area of the semicircle in square cm will be ? \nOptions: ['a ) 30 pi', 'b ) 40 pi', 'c ) 50 pi', 'd ) 60 pi', 'e ) 70 pi']", "output": [ "c" ] }, { "id": "task1423-ae93154d960a4027a1dba29d120c7563", "input": "Problem: in may , the groundskeeper at spring lake golf club built a circular green with an area of 65 π square feet . in august , the groundskeeper doubled the distance from the center of the green to the edge of the green . what is the total area of the renovated green ? \nOptions: a ) 105 π , b ) 130 π , c ) 200 π , d ) 260 π , e ) 320 π", "output": [ "d" ] }, { "id": "task1423-69d1d29239b74a7bb67acf4d22a80507", "input": "Problem: a volume of 10976 l water is in a container of sphere . how many hemisphere of volume 4 l each will be required to transfer all the water into the small hemispheres ? \nOptions: a ) 2812 , b ) 8231 , c ) 2734 , d ) 2744 , e ) 4254", "output": [ "d" ] }, { "id": "task1423-c8487fd330de4060bbd4d06a4d29452f", "input": "Problem: from a square piece of a paper having each side equal to 10 cm , the largest possible circle is being cut out . the ratio of the area of the circle to the area of the original square is nearly : \nOptions: ['a ) 4 ⁄ 5', 'b ) 3 ⁄ 5', 'c ) 5 ⁄ 6', 'd ) 6 ⁄ 7', 'e ) none of these']", "output": [ "a" ] }, { "id": "task1423-cd5244538bf44334a442784cd41b1e9e", "input": "Problem: huey ' s hip pizza sells two sizes of square pizzas : a small pizza that measures 9 inches on a side and costs $ 10 , and a large pizza that measures 14 inches on a side and costs $ 20 . if two friends go to huey ' s with $ 30 apiece , how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone ? \nOptions: ['a ) 5 square inches', 'b ) 10 square inches', 'c ) 15 square inches', 'd ) 25 square inches', 'e ) 34 square inches']", "output": [ "e" ] }, { "id": "task1423-c2f9af345408459b9da3c1a5a028e563", "input": "Problem: find the number of divisors of 1080 excluding the divisors which are perfect squares . \nOptions: a ) 28 , b ) 29 , c ) 30 , d ) 31 , e ) 32", "output": [ "a" ] }, { "id": "task1423-799a70c7a49d4b64a8b899d2eb68ed77", "input": "Problem: the mass of 1 cubic meter of a substance is 300 kg under certain conditions . what is the volume in cubic centimeters of 1 gram of this substance under these conditions ? ( 1 kg = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters ) \nOptions: a ) 3.33 , b ) 3.34 , c ) 3.53 , d ) 5.32 , e ) 3.92", "output": [ "a" ] }, { "id": "task1423-b5a5954357804b688df42915f3c5354f", "input": "Problem: mr . loyd wants to fence his square shaped land of 120 sqft each side . if a pole is laid every 10 ft how many poles do he need ? \nOptions: a ) 20 , b ) 30 , c ) 48 , d ) 50 , e ) 60", "output": [ "c" ] }, { "id": "task1423-680446cc3368440da7ae3541c2764e91", "input": "Problem: if the sides of a triangle are 36 cm , 34 cm and 20 cm , what is its area ? \nOptions: a ) 320 cm 2 , b ) 360 cm 2 , c ) 340 cm 2 , d ) 310 cm 2 , e ) 300 cm 2", "output": [ "c" ] }, { "id": "task1423-c4dc0efcb8824f44a09085721811df79", "input": "Problem: what no should be subtracted from 92555 to make it a perfect square ? \nOptions: ['a ) 128', 'b ) 158', 'c ) 178', 'd ) 139', 'e ) 140']", "output": [ "d" ] }, { "id": "task1423-a1584baba5af431484ce3fdab99ed63a", "input": "Problem: the perimeter of one square is 44 cm and that of another is 20 cm . find the perimeter and the diagonal of a square which is equal in area to these two combined ? \nOptions: a ) 13 √ 4 , b ) 12.1 √ 2 , c ) 23 √ 2 , d ) 12 √ 4 , e ) 13 √ 9", "output": [ "b" ] }, { "id": "task1423-8ce88cd506de4c18b2be065f52c1c1c7", "input": "Problem: the edge of a cube is 3 a cm . find its surface ? \nOptions: a ) 24 a 8 , b ) 24 a 4 , c ) 24 a 1 , d ) 54 a 2 , e ) 24 a 7", "output": [ "d" ] }, { "id": "task1423-b1c878dc9cdb49629be43543891ef837", "input": "Problem: one side of a rectangle is 3 cm shorter than the other side . if we increase the length of each side by 1 cm , then the area of the rectangle will increase by 22 cm 2 . find the lengths of all sides . \nOptions: a ) 10 and 3 , b ) 7 and 10 , c ) 10 and 7 , d ) 3 and 10 , e ) 12 and 9", "output": [ "e" ] }, { "id": "task1423-0afdaa422ea24499ad636a173296ee19", "input": "Problem: calculate the effect changes in dimension of a rectangle will have on its area , if length is increased by 18 % and its breadth is decreased by 16 % ? \nOptions: a ) 5.88 % decrease , b ) 0.88 % decrease , c ) 0.88 % increase , d ) 1.88 % decrease , e ) 2.88 % decrease", "output": [ "b" ] }, { "id": "task1423-d04797d9d2d646c2bbc7faa4806cc762", "input": "Problem: the volume of a cube is 1728 cc . find its surface ? \nOptions: ['a ) 864', 'b ) 209', 'c ) 278', 'd ) 276', 'e ) 280']", "output": [ "a" ] }, { "id": "task1423-73b79e7c9c2a4804ada914f3da478297", "input": "Problem: the number 130 can be written as the sum of the squares of 2 different positive integers . what is the sum of these 2 integers ? \nOptions: a ) 17 , b ) 16 , c ) 15 , d ) 14 , e ) 13", "output": [ "d" ] }, { "id": "task1423-fa919398b9f341f6bf5e3662b4e0fcca", "input": "Problem: the area of sector of a circle whose radius is 10 metro and whose angle at the center is 42 â ° is ? \nOptions: a ) 36.7 , b ) 52.9 , c ) 52.8 , d ) 52.1 , e ) 52.2", "output": [ "a" ] }, { "id": "task1423-941ea16c085e45438a55057812e30eb6", "input": "Problem: all the faces of cubes are painted with red colour . it is then cut into 64 equal small cubes . find how many small cubes are there whose three faces are coloured ? \nOptions: ['a ) 4', 'b ) 8', 'c ) 16', 'd ) 24', 'e ) 2']", "output": [ "b" ] }, { "id": "task1423-08f4c37073c84223a71cbbb799a6f78f", "input": "Problem: find the area of a parallelogram with base 18 cm and height 16 cm ? \nOptions: a ) 423 cm 2 , b ) 122 cm 2 , c ) 420 cm 2 , d ) 251 cm 2 , e ) 288 cm 2", "output": [ "e" ] }, { "id": "task1423-1ba8844c607442d883e3696c4b8daa8f", "input": "Problem: how many books each of volume 100 meter cube can be packed into a crate of volume 3000 meter cube ? \nOptions: a ) 50 , b ) can not be determined , c ) 150 , d ) 300 , e ) 350", "output": [ "b" ] }, { "id": "task1423-ac2ba9e4f449445092e6bc904120e7cc", "input": "Problem: rain is falling at a rate of 3 centimeters per hour all over springfield . somewhere downtown in springfield a group of pigeons is waiting for the rain to stop . if the rain filled a round puddle the with a base area of 350 square centimeters and a depth of 13.5 centimeters , how long did the pigeons wait for the rain to stop ? \nOptions: ['a ) 3 hours and 12 minutes .', 'b ) four hours and 30 minutes', 'c ) four hours and 45 minutes', 'd ) five hours and 10 minutes', 'e ) five hours and 30 minutes']", "output": [ "b" ] }, { "id": "task1423-6c8c0fe0bb2b43a28b2591719150a505", "input": "Problem: how many odd numbers between 10 and 900 are the squares of integers ? \nOptions: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16", "output": [ "b" ] }, { "id": "task1423-1e5f7cbc5157413d8db8e4414aa7543a", "input": "Problem: the radius of a cylindrical vessel is 7 cm and height is 1 cm . find the whole surface of the cylinder ? \nOptions: a ) 352 , b ) 771 , c ) 440 , d ) 767 , e ) 1981", "output": [ "a" ] }, { "id": "task1423-4db95b4d431b423ca4aa604911221795", "input": "Problem: a squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 3 feet . how many feet does the squirrel travels if the post is 18 feet tall and 3 feet in circumference ? \nOptions: a ) 10 feet , b ) 12 feet , c ) 13 feet , d ) 15 feet , e ) 18 feet", "output": [ "e" ] }, { "id": "task1423-ab534cadc5dd4dcf96488822e37bb501", "input": "Problem: the slant height of a cone is 14 cm and radius of the base is 12 cm , find the curved surface of the cone . \nOptions: a ) 150 , b ) 170 , c ) 48 , d ) 528 , e ) 600", "output": [ "d" ] }, { "id": "task1423-2c0457a347e04d5d9c0900d672f862de", "input": "Problem: the radius of a cone is 14 m , slant height is 20 m . find the curved surface area ? \nOptions: a ) 770 , b ) 550 , c ) 110 , d ) 880 , e ) 330", "output": [ "d" ] }, { "id": "task1423-62e226e18c19445a9102bdda035659d2", "input": "Problem: there are 7 non - collinear points . how many triangles can be drawn by joining these points ? \nOptions: a ) 22 , b ) 38 , c ) 35 , d ) 29 , e ) 18", "output": [ "c" ] }, { "id": "task1423-a54f4bf7080e466e8933b77b5a0677c6", "input": "Problem: if the radius of a circle is increased by 50 % then the area is increased by : \nOptions: a ) 44 % , b ) 125 % , c ) 144 % , d ) 40 % , e ) none of the above", "output": [ "b" ] }, { "id": "task1423-6a4bc9d1e0ee4bd88ec880e28157af66", "input": "Problem: in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 4.5 ) , ( 8 , 0 ) , ( 0 , - 4.5 ) , ( - 8 , 0 ) ? \nOptions: a ) 56 , b ) 72 , c ) 112 , d ) 116 , e ) 120", "output": [ "b" ] }, { "id": "task1423-288244a896054d6eb0f8e3b5116645ae", "input": "Problem: the ratio of the radius of two circles is 1 : 4 , and then the ratio of their areas is ? \nOptions: a ) 1 : 16 , b ) 1 : 6 , c ) 1 : 9 , d ) 1 : 3 , e ) 1 : 2", "output": [ "a" ] }, { "id": "task1423-02625487740a499c9b1ab3d0f65a51b2", "input": "Problem: the volumes of two cones are in the ratio 1 : 35 and the radii of the cones are in the ratio of 1 : 2 . what is the length of the wire ? \nOptions: a ) 7 : 5 , b ) 2 : 9 , c ) 7 : 2 , d ) 2 : 2 , e ) 2 : 8", "output": [ "a" ] }, { "id": "task1423-478c4a6359bb40c192152bd0e8460233", "input": "Problem: find the area of a parallelogram with base 22 cm and height 21 cm ? \nOptions: a ) 462 cm 2 , b ) 478 cm 2 , c ) 490 cm 2 , d ) 268 cm 2 , e ) 668 cm 2", "output": [ "a" ] }, { "id": "task1423-bb03c35c09614af497cd9fd335ff0922", "input": "Problem: if the area of a circle is 64 pi square feet , find its circumference . \nOptions: a ) 65 pi feet , b ) 43 pi feet , c ) 42 pi feet , d ) 18 pi feet , e ) 16 pi feet", "output": [ "e" ] }, { "id": "task1423-7a3673da9c944c4cbdd54e1f229d8a00", "input": "Problem: triangle xyz is an isosceles right triangle . if side xy is longer than side yz , and the area of the triangle is 49 , what is the measure of side xy ? \nOptions: ['a ) 4', 'b ) 4 √ 2', 'c ) 14', 'd ) 8 √ 2', 'e ) can not be determined from the information provided']", "output": [ "c" ] }, { "id": "task1423-bb6469243f4d4490aed1a98e88bd450b", "input": "Problem: the length of a rectangle is reduced by 22 % . by what % would the width have to be increased to maintain the original area ? \nOptions: a ) 14 % , b ) 15 % , c ) 28 % , d ) 30 % , e ) 35 %", "output": [ "c" ] }, { "id": "task1423-27b545c25cf74b89ab45777d0f214934", "input": "Problem: the perimeter of a square is equal to the perimeter of a rectangle of length 20 cm and breadth 14 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) \nOptions: a ) 23.57 , b ) 25.54 , c ) 26.5 , d ) 26.55 , e ) 26.71", "output": [ "e" ] }, { "id": "task1423-46f9a632716547469628c6a4725b1939", "input": "Problem: if two sides of a triangle have lengths 3 and 8 , which of the following could be the perimeter of the triangle ? i . 9 ii . 15 iii . 19 \nOptions: ['a ) none', 'b ) i only', 'c ) ii only', 'd ) iii only', 'e ) i , ii , and iii']", "output": [ "d" ] }, { "id": "task1423-8d81df8062c84110abeaa24137cc1f82", "input": "Problem: the length of a rectangle is twice its breadth . if its length is decreased by 5 cm and breadth is increased by 5 cm , the area of the rectangle is increased by 75 sq . cm . what is the length of the rectangle \nOptions: a ) 18 cm , b ) 16 cm , c ) 40 cm , d ) 20 cm , e ) 28 cm", "output": [ "c" ] }, { "id": "task1423-e5446539a46a4054bf094af39ecac360", "input": "Problem: how many odd numbers between 10 and 1,100 are the squares of integers ? \nOptions: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16", "output": [ "d" ] }, { "id": "task1423-9b57e45726094998a3b87d0f37d1bd58", "input": "Problem: here is 15 dots . if you select 3 dots randomly , what is the probability that 3 dots make a triangle ? \nOptions: a ) 440 / 455 , b ) 412 / 455 , c ) 434 / 455 , d ) 449 / 455 , e ) 438 / 455", "output": [ "b" ] }, { "id": "task1423-4bb7060763184f338e94e0ef0c2af718", "input": "Problem: the least perfect square , which is divisible by each of 21,36 and 66 is \nOptions: ['a ) 213444', 'b ) 214344', 'c ) 214434', 'd ) 213443', 'e ) none of these']", "output": [ "a" ] }, { "id": "task1423-af655a6419754a0cbfaca3220de48d16", "input": "Problem: rectangle a has sides a and b , and rectangle b has sides c and d . if a / c = b / d = 2 / 5 , what is the ratio of rectangle a ’ s area to rectangle b ’ s area ? \nOptions: a ) 2 / 5 , b ) 2 / 25 , c ) 5 / 2 , d ) 5 / 4 , e ) 4 / 25", "output": [ "e" ] }, { "id": "task1423-7442f6feb8c4407a97ea9d70b41220bd", "input": "Problem: the radius of a cylinder is 10 m , height 12 m . the volume of the cylinder is : \nOptions: a ) 2200 , b ) 5500 , c ) 3300 , d ) 3771.4 , e ) 4400", "output": [ "d" ] }, { "id": "task1423-8a57adf4c34f4f1c88d21d1863eae74a", "input": "Problem: in triangle pqr , the angle q = 90 degree , pq = 5 cm , qr = 8 cm . x is a variable point on pq . the line through x parallel to qr , intersects pr at y and the line through y , parallel to pq , intersects qr at z . find the least possible length of xz \nOptions: a ) 3.6 cm , b ) 2.4 cm , c ) 4.0 cm , d ) 2.16 cm , e ) 3.2 cm", "output": [ "c" ] }, { "id": "task1423-a99993482cbe4985ae33925604e5c4f7", "input": "Problem: the diagonal of a rectangle is √ 41 cm and its area is 20 sq . cm . the perimeter of the rectangle must be : \nOptions: ['a ) 18', 'b ) 28', 'c ) 38', 'd ) 48', 'e ) 58']", "output": [ "a" ] }, { "id": "task1423-00163e6f67884878a9abe27f9c0fa07a", "input": "Problem: if the sides of a triangle are 30 cm , 40 cm and 50 cm , what is its area ? \nOptions: a ) 400 , b ) 500 , c ) 550 , d ) 600 , e ) 700", "output": [ "d" ] }, { "id": "task1423-b15c32b0fc1b4a959d60645d4f4ff829", "input": "Problem: in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 3.5 ) , ( 11 , 0 ) , ( 0 , - 3.5 ) , ( - 11 , 0 ) ? \nOptions: a ) 56 , b ) 77 , c ) 112 , d ) 116 , e ) 120", "output": [ "b" ] }, { "id": "task1423-8516b56dd4644bae849749c4e6ebbd73", "input": "Problem: an equilateral triangle t 2 is formed by joining the mid points of the sides of another equilateral triangle t 1 . a third equilateral triangle t 3 is formed by joining the mid - points of t 2 and this process is continued indefinitely . if each side of t 1 is 50 cm , find the sum of the perimeters of all the triangles . \nOptions: a ) 180 cm , b ) 220 cm , c ) 240 cm , d ) 270 cm , e ) 300 cm", "output": [ "e" ] }, { "id": "task1423-90f28911b2bc4da7a9ba2f076aac8edd", "input": "Problem: the length of the rectangular field is double its width . inside the field there is square shaped pond 8 m long . if the area of the pond is 1 / 2 of the area of the field . what is the length of the field ? \nOptions: a ) 13 , b ) 16 , c ) 34 , d ) 43 , e ) 42", "output": [ "b" ] }, { "id": "task1423-a71d78901b624af8ac55345254cc06a5", "input": "Problem: rectangular tile each of size 70 cm by 30 cm must be laid horizontally on a rectangular floor of size 110 cm by 130 cm , such that the tiles do not overlap and they are placed with edges jutting against each other on all edges . a tile can be placed in any orientation so long as its edges are parallel to the edges of floor . no tile should overshoot any edge of the floor . the maximum number of tiles that can be accommodated on the floor is : \nOptions: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9", "output": [ "b" ] }, { "id": "task1423-05409e30b3f14821a702a8d6737d40c9", "input": "Problem: the measure of the side of a square is multiplied by 6 . if x represents the perimeter of the original square , what is the value of the new perimeter ? \nOptions: a ) 3 x , b ) 4 x , c ) 6 x , d ) 12 x , e ) 27 x", "output": [ "c" ] }, { "id": "task1423-575e76e8d9764f18af8ec39c7ee5e77f", "input": "Problem: a rectangular cube has sides measuring 3 inches long by 2 inches wide by 0.5 inches high . if the surface area of the rectangle is the same as a cube , what do the sides / walls of the cube measure ? round to the nearest whole number . \nOptions: ['a ) 4', 'b ) 5', 'c ) 6', 'd ) 7', 'e ) 2']", "output": [ "e" ] }, { "id": "task1423-d93b749c9b504b79b2a023ab5670e8c2", "input": "Problem: the ratio of the volumes of two cubes is 1000 : 1331 . what is the ratio of their total surface areas ? \nOptions: a ) 100 : 121 , b ) 100 : 127 , c ) 81 : 191 , d ) 81 : 161 , e ) 100 : 182", "output": [ "a" ] }, { "id": "task1423-5893fcb6c5a24d67bc3abf0ec8614de3", "input": "Problem: on the xy - plane , each point on circle c has coordinates such that x 0 and y 0 . if the center of circle c is the point ( 3 ; 9 ) , what is the maximum possible area of c ? \nOptions: a ) 6 , b ) 9 , c ) 24 , d ) 32 , e ) 64", "output": [ "c" ] }, { "id": "task1423-a66388938ddc4dc5816973c64b4309eb", "input": "Problem: a rectangular farm has to be fenced one long side , one short side and the diagonal . if the cost of fencing is rs . 11 per meter . the area of farm is 1200 m 2 and the short side is 30 m long . how much would the job cost ? \nOptions: a ) 1276 , b ) 1200 , c ) 2832 , d ) 1299 , e ) 1320", "output": [ "e" ] }, { "id": "task1423-1afa99c78f4a4a32b292b90788d10e39", "input": "Problem: triangle a ’ s base is 10 % greater than the base of triangle b , and a ’ s height is 10 % less than the height of triangle b . the area of triangle a is what percent less or more than the area of triangle b ? \nOptions: ['a ) 9 % less', 'b ) 1 % less', 'c ) equal to each other', 'd ) 1 % more', 'e ) 9 % more']", "output": [ "b" ] }, { "id": "task1423-8d75ee7f75c645c89a8c3423e92f84f7", "input": "Problem: the length of a rectangular plot is 10 mtr more than its width . the cost of fencing the plot along its perimeter at the rate of rs . 6.5 mtr is rs . 2210 . the perimeter of the plot is ? \nOptions: a ) 126 , b ) 156 , c ) 340 , d ) 321 , e ) 260", "output": [ "c" ] }, { "id": "task1423-aeefdeeef2d0433aa9bc77815df782f6", "input": "Problem: the least perfect square , which is divisible by each of 21 , 36 and 66 is : \nOptions: a ) 213444 , b ) 214344 , c ) 214434 , d ) 231444 , e ) 233444", "output": [ "a" ] }, { "id": "task1423-89ca64e14dbf4e8397fd3748f199de64", "input": "Problem: a cube of sides 9 is first painted red and then cut into smaller cubes of side 3 . how many of the smaller cube have painted on exactly 2 sides ? \nOptions: ['a ) 30', 'b ) 24', 'c ) 12', 'd ) 8', 'e ) 9']", "output": [ "c" ] }, { "id": "task1423-94b822cd96694db2be885049b91a0d11", "input": "Problem: the area of a triangle is with base 4 m and height 8 m ? \nOptions: a ) 11 , b ) 10 , c ) 787 , d ) 16 , e ) 12", "output": [ "d" ] }, { "id": "task1423-1e904c94d9564a2880613fb37afd4307", "input": "Problem: points a , b , and , c have xy - coordinates ( 2,0 ) , ( 8,12 ) , and ( 14,0 ) , respectively . points x , y , and z have xy - coordinates ( 6,0 ) , ( 8,4 ) , and ( 10,0 ) , respectively . what fraction c of the area of triangle abc is the area of triangle xyz ? \nOptions: ['a ) 1 / 9', 'b ) 1 / 8', 'c ) 1 / 6', 'd ) 1 / 5', 'e ) 1 / 3']", "output": [ "a" ] }, { "id": "task1423-db80f32b130d4051a5ee69b7819fd79c", "input": "Problem: find the area of the quadrilateral of one of its diagonals is 30 cm and its off sets 9 cm and 6 cm ? \nOptions: a ) 225 cm 2 , b ) 150 cm 2 , c ) 127 cm 2 , d ) 177 cm 2 , e ) 187 cm 2", "output": [ "a" ] }, { "id": "task1423-3292f3c7a591413c83a3b5657768bb63", "input": "Problem: the water level in a rectangular swimming pool measuring 60 feet by 20 feet is to be lowered by 6 inches . how many gallons of water must be removed ? ( 1 cu ft = 7.5 gallons ) \nOptions: a ) 100 , b ) 250 , c ) 4500 , d ) 1200 , e ) 5625", "output": [ "c" ] }, { "id": "task1423-84a221a2a0b144e4bd1c6005216bafd8", "input": "Problem: a metallic sheet is of rectangular shape with dimensions 30 m x 25 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 6 m , the volume of the box ( in m cube ) is : \nOptions: a ) 920 m cube , b ) 840 m cube , c ) 1000 m cube , d ) 120 m cube , e ) none of these", "output": [ "e" ] }, { "id": "task1423-0b4261e4696f4a298633bf5f94172daf", "input": "Problem: huey ' s hip pizza sells two sizes of square pizzas : a small pizza that measures 12 inches on a side and costs $ 10 , and a large pizza that measures 18 inches on a side and costs $ 20 . if two friends go to huey ' s with $ 30 apiece , how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone ? \nOptions: a ) 5 square inches , b ) 36 square inches , c ) 15 square inches , d ) 25 square inches , e ) 350 square inches", "output": [ "b" ] }, { "id": "task1423-46f4168c29b74abaae1f9d1e962118b1", "input": "Problem: in a company of 200 employees , 120 are females . a total of 100 employees have advanced degrees and the rest have a college degree only . if 40 employees are males with a college degree only , how many employees are females with advanced degrees ? \nOptions: a ) 60 , b ) 70 , c ) 80 , d ) 90 , e ) 100", "output": [ "a" ] }, { "id": "task1423-867d7c1cdd214aa4a398fae2268f8bb3", "input": "Problem: a lady grows broccoli in her garden that is in the shape of a square . each broccoli takes 1 square foot of area in her garden . this year , she has increased her output by 79 broccoli when compared to last year . the shape of the area used for growing the broccoli has remained a square in both these years . how many broccoli did she produce this year ? \nOptions: ['a ) 1600', 'b ) 1500', 'c ) 1650', 'd ) 1700', 'e ) can not be determined']", "output": [ "a" ] }, { "id": "task1423-fd6551793e494aa5ad26e907a492b692", "input": "Problem: the water level in a rectangular swimming pool measuring 50 feet by 25 feet is to be lowered by 6 inches . how many gallons of water must be removed ? ( 1 cu ft = 7.5 gallons ) \nOptions: a ) 100 , b ) 250 , c ) 750 , d ) 1200 , e ) 4687.5", "output": [ "e" ] }, { "id": "task1423-94111ffc333941c3b8cb57d2a89bdfb6", "input": "Problem: the length of rectangle is thrice its breadth and its perimeter is 104 m , find the area of the rectangle ? \nOptions: a ) 507 sq m , b ) 356 sq m , c ) 452 sq m , d ) 428 sq m , e ) 525 sq m", "output": [ "a" ] }, { "id": "task1423-f6cee130f4734ef49bb36268ccb5deab", "input": "Problem: if a drawing has an outer circle of diameter 30 and an inner circle of diameter 24 , then what fraction of outer circle ' s surface is not covered by the inner circle ? \nOptions: ['a ) 3 / 6', 'b ) 8 / 24', 'c ) 14 / 16', 'd ) 9 / 25', 'e ) 2 / 3']", "output": [ "d" ] }, { "id": "task1423-bb32ae1f325a47fca04f1148da4175ad", "input": "Problem: a rectangular lawn of length 200 m by 120 m has two roads running along its center , one along the length and the other along the width . if the width of the roads is 5 m what is the area r covered by the two roads ? \nOptions: a ) 400 , b ) 1550 , c ) 1575 , d ) 1600 , e ) 1625", "output": [ "c" ] }, { "id": "task1423-9b3b14e21e854df09fbf9d32d3a90338", "input": "Problem: how many books each of volume 100 meter cube can be packed into a crate of volume 4000 meter cube ? \nOptions: ['a ) 100', 'b ) 120', 'c ) can not be determined', 'd ) 180', 'e ) 200']", "output": [ "c" ] }, { "id": "task1423-90d507b798cf4f36ad1b0c4f2dcd85dd", "input": "Problem: three rugs have a combined area of 200 square meters . by overlapping the rugs to cover floor area of 140 square meters , the area that is covered by exactly two layers of rug is 22 square meters . what is the area that is covered with three layers of rug ? \nOptions: ['a ) 18 square meters', 'b ) 20 square meters', 'c ) 24 square meters', 'd ) 19 square meters', 'e ) 30 square meters']", "output": [ "d" ] }, { "id": "task1423-5ba88c7a6425458dab798c6aa85ee32d", "input": "Problem: in a rectangular coordinate system , what is the area of a rectangle whose vertices have the coordinates ( - 7 , 1 ) , ( 1 , 1 ) , ( 1 , - 6 ) and ( - 7 , - 6 ) ? \nOptions: a ) 112 , b ) 64 , c ) 42 , d ) 24 , e ) 56", "output": [ "e" ] }, { "id": "task1423-15fa7d25a45649cda467190dd87d205f", "input": "Problem: a circular garden is surrounded by a fence of negligible width along the boundary . if the length of the fence is 1 / 8 of th area of the garden . what is the radius of the circular garden ? \nOptions: ['a ) 1', 'b ) 2', 'c ) 4', 'd ) 8', 'e ) 16']", "output": [ "e" ] }, { "id": "task1423-ac91c5f4a2ed4c5ea6209d1e1a74fd9b", "input": "Problem: we have a rectangular metallic piece of paper that covers exactly the area of a cube . the length of the piece of paper is 144 inches and the width is 72 inches . what is the volume of the cube in cubic feet is 1 feet is 12 inches ? \nOptions: a ) a 216 , b ) b 196 , c ) c 170 , d ) d 140 , e ) e 121", "output": [ "a" ] }, { "id": "task1423-a08dfb47d71b4f4dbae8741ef82e2252", "input": "Problem: the edge of a cube is 7 a cm . find its surface ? \nOptions: ['a ) 24 a 8', 'b ) 24 a 4', 'c ) 24 a 1', 'd ) 24 a 2', 'e ) 294 a 2']", "output": [ "e" ] }, { "id": "task1423-9479f9a30c174d7ca6ac0349f365e3e3", "input": "Problem: a rectangular field is to be fenced on three sides leaving a side of 30 feet uncovered . if the area of the field is 600 sq . ft , how many feet of fencing will be required ? \nOptions: a ) 70 feet , b ) 52 feet , c ) 32 feet , d ) 12 feet , e ) 55 feet", "output": [ "a" ] }, { "id": "task1423-ecefd3ed879e4dda86c1e2eb48a59c2c", "input": "Problem: the roof of an apartment building is rectangular and its length is 3 times longer than its width . if the area of the roof is 675 feet squared , what is the difference between the length and the width of the roof ? \nOptions: a ) 38 . , b ) 30 . , c ) 42 . , d ) 44 . , e ) 46 .", "output": [ "b" ] }, { "id": "task1423-fbb3221b66ba44d6aef183107b5efdef", "input": "Problem: points a , b , and , c have xy - coordinates ( 20 ) , ( 812 ) , and ( 140 ) , respectively . points x , y , and z have xy - coordinates ( 60 ) , ( 84 ) , and ( 100 ) , respectively . what fraction c of the area of triangle abc is the area of triangle xyz ? \nOptions: a ) 1 / 9 , b ) 1 / 8 , c ) 1 / 6 , d ) 1 / 5 , e ) 1 / 3", "output": [ "a" ] }, { "id": "task1423-8dcf8034d9e9429c94e02878befc2451", "input": "Problem: an artist wishes to paint a circular region on a square poster that is 3.4 feet on a side . if the area of the circular region is to be 1 / 2 the area of the poster , what must be the radius of the circular region in feet ? \nOptions: ['a ) 1 / pi', 'b ) sqrt ( 2 / pi )', 'c ) 1', 'd ) 2 / sqrt ( pi )', 'e ) sqrt ( 5.78 / pi )']", "output": [ "e" ] }, { "id": "task1423-3e121569ab3845ff931f964ccf4629a6", "input": "Problem: a small , rectangular park has a perimeter of 560 feet and a diagonal measurement of 600 feet . what is its area , in square feet ? \nOptions: ['a ) 172,800', 'b ) 19,600', 'c ) 20,000', 'd ) 20,400', 'e ) 20,800']", "output": [ "a" ] }, { "id": "task1423-3abd1b1738764242b6b12e2cef8b3758", "input": "Problem: 10 business executives and 3 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ? \nOptions: a ) 144 , b ) 131 , c ) 115 , d ) 90 , e ) 75", "output": [ "e" ] }, { "id": "task1423-1d399dccf95d4df28e5187a31c568ec8", "input": "Problem: the length of a rectangle is doubled while its width is tripled . what is the % change in area ? \nOptions: ['a ) 250 %', 'b ) 300 %', 'c ) 500 %', 'd ) 650 %', 'e ) 700 %']", "output": [ "c" ] }, { "id": "task1423-726b283deea244a19c20c7bfa34a190a", "input": "Problem: three rugs have a combined area of 200 square meters . by overlapping the rugs to cover floor area of 138 square meters , the area that is covered by exactly two layers of rug is 24 square meters . what is the area that is covered with three layers of rug ? \nOptions: a ) 18 square meters , b ) 19 square meters , c ) 24 square meters , d ) 28 square meters , e ) 30 square meters", "output": [ "b" ] }, { "id": "task1423-db4cd365d1e54813a7ffe8450b834a45", "input": "Problem: the length of a rectangle is halved , while its breadth is tripled . what is the % change in area ? \nOptions: a ) 30 % , b ) 40 % , c ) 50 % , d ) 60 % , e ) 65 %", "output": [ "c" ] }, { "id": "task1423-9527a3c2439b44ef89acc1941d0ceb7d", "input": "Problem: a metallic sheet is of rectangular shape with dimensions 100 m x 50 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 10 m , the volume of the box ( in m cube ) is : \nOptions: a ) 42500 m cube , b ) 20000 m cube , c ) 44140 m cube , d ) 24000 m cube , e ) none of these", "output": [ "d" ] }, { "id": "task1423-3c818b3b69cf4405ae01ba20b9fcd92e", "input": "Problem: there are two circles of different radii . the are of a square is 784 sq cm and its side is twice the radius of the larger circle . the radius of the larger circle is seven - third that of the smaller circle . find the circumference of the smaller circle . ? \nOptions: a ) 87 , b ) 98 , c ) 12 , d ) 27 , e ) 28", "output": [ "c" ] }, { "id": "task1423-207cb9385c7c4cf48a2230a8eb59453f", "input": "Problem: the length of a rectangle is increased by 15 % and its breadth is decreased by 20 % . what is the effect on its area ? \nOptions: a ) 1288 , b ) 1299 , c ) 1000 , d ) 10000 , e ) 9200", "output": [ "e" ] }, { "id": "task1423-0ff1f0ace878435ab9845640ee69bc5a", "input": "Problem: a 45 ° - 45 ° - 90 ° right triangle has hypotenuse of length h . what is the area of the triangle e in terms of h ? \nOptions: ['a ) h / √ 2', 'b ) h / 2', 'c ) h / 4', 'd ) ( h ) ^ 2', 'e ) ( h ) ^ 2 / 4']", "output": [ "e" ] }, { "id": "task1423-5ea8c1f3c5b54413ba145e6813b92cef", "input": "Problem: the area of the largest circle that can be drawn inside a square of side 70 cm in length is : \nOptions: ['a ) 3600', 'b ) 2646', 'c ) 3850', 'd ) 4215', 'e ) 5205']", "output": [ "c" ] }, { "id": "task1423-8c998c85565241caa52db0eb9e698a14", "input": "Problem: let the sides of a rectangular prism are consecutive multiples of 5 . which among the following could be the base area \nOptions: ['a ) 360', 'b ) 450', 'c ) 560', 'd ) 670', 'e ) 780']", "output": [ "b" ] }, { "id": "task1423-52af7cc2b7f04e019d58f55bf3205150", "input": "Problem: what is the perimeter , in meters , of a rectangular garden 4 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide ? \nOptions: ['a ) 48', 'b ) 56', 'c ) 60', 'd ) 76', 'e ) 104']", "output": [ "e" ] }, { "id": "task1423-6e8e36ee6e5344709a6a0373a8efe2e5", "input": "Problem: in a certain circle there are 9 points . what is the number of the triangles connecting 4 points of the 9 points ? \nOptions: ['a ) 80', 'b ) 96', 'c ) 108', 'd ) 126', 'e ) 132']", "output": [ "d" ] }, { "id": "task1423-adf49d079b82482498b09b12ce11e003", "input": "Problem: the perimeter of a triangle is 60 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle \nOptions: a ) a ) 72 , b ) b ) 828 , c ) c ) 729 , d ) d ) 75 , e ) e ) 35", "output": [ "d" ] }, { "id": "task1423-17800720d20446b08b984d0e071fb1fd", "input": "Problem: find the area of a rhombus one side of which measures 20 cm and one diagonal is 24 cm . \nOptions: a ) 370 cm 2 , b ) 365 cm 2 , c ) 380 cm 2 , d ) 384 cm 2 , e ) 394 cm 2", "output": [ "d" ] }, { "id": "task1423-e5a1b11778894ca3a8290be8c7b0f54c", "input": "Problem: a rectangle having length 105 cm and width 40 cm . if the length of the rectangle is increased by twenty five percent then how much percent the breadth should be decreased so as to maintain the same area . \nOptions: a ) 25 % , b ) 19.23 % , c ) 40 % , d ) 75 % , e ) none of these", "output": [ "b" ] }, { "id": "task1423-ccd2239bf2cd480fa1e24fdfbe8c8fac", "input": "Problem: 12 business executives and 7 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ? \nOptions: a ) 150 , b ) 131 , c ) 115 , d ) 90 , e ) 45", "output": [ "a" ] }, { "id": "task1423-7668bec6678c44ad9d7e089581cb2437", "input": "Problem: a snooker tournament charges $ 45.00 for vip seats and $ 20.00 for general admission ( “ regular ” seats ) . on a certain night , a total of 320 tickets were sold , for a total cost of $ 7500 . how many fewer tickets were sold that night for vip seats than for general admission seats ? \nOptions: a ) 200 , b ) 276 , c ) 230 , d ) 240 , e ) 250", "output": [ "b" ] }, { "id": "task1423-092138266a904bd1888d95b268b0b380", "input": "Problem: a circular ground whose diameter is 70 metres , has a 2.8 metre - broad garden around it . what is the area of the garden in square metres ? \nOptions: a ) 540.72 , b ) 740.64 , c ) 640.64 , d ) 620.45 , e ) 725.26", "output": [ "c" ] }, { "id": "task1423-2a02dd42bcc741a2819150ef0270ca96", "input": "Problem: find the circumference and area of radius 4 cm . \nOptions: a ) 24 cm ² , b ) 44 cm ² , c ) 50 cm ² , d ) 84 cm ² , e ) 94 cm ²", "output": [ "c" ] }, { "id": "task1423-255f0274df354432906507b5052533c8", "input": "Problem: a box measuring 30 inches long by 48 inches wide by 12 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ? \nOptions: a ) 78 , b ) 80 , c ) 85 , d ) 88 , e ) 90", "output": [ "b" ] }, { "id": "task1423-3a25093a270843d69cea1ad656441293", "input": "Problem: the ratio of the radius of two circles is 5 : 3 , and then the ratio of their areas is ? \nOptions: a ) 1 : 8 , b ) 1 : 6 , c ) 25 : 9 , d ) 1 : 3 , e ) 1 : 2", "output": [ "c" ] }, { "id": "task1423-c87ed387c48e43d19da7e7ab387ebeb9", "input": "Problem: a rectangular tiled patio is composed of 80 square tiles . the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles . after the change in layout , the patio will still have 80 tiles , and it will still be rectangular . how many rows are in the tile patio before the change in layout ? \nOptions: a ) 5 , b ) 6 , c ) 10 , d ) 12 , e ) 28", "output": [ "d" ] }, { "id": "task1423-c351ea707c844caeb9d0e0eace12f5f7", "input": "Problem: the area of a square field is 576 km 2 . how long will it take for a horse to run around at the speed of 12 km / h ? \nOptions: a ) 12 h , b ) 10 h , c ) 8 h , d ) 6 h , e ) none of these", "output": [ "c" ] }, { "id": "task1423-ab93c70d6adb434a807fac59666c1c93", "input": "Problem: if the volume of two cubes are in the ratio 64 : 1 , the ratio of their edges is : \nOptions: a ) 3 : 1 , b ) 3 : 2 , c ) 3 : 5 , d ) 4 : 1 , e ) none of these", "output": [ "d" ] }, { "id": "task1423-bd1c953f8e9f47f88c9eca04cf6499dd", "input": "Problem: in may , the groundskeeper at spring lake golf club built a circular green with an area of 70 π square feet . in august , the groundskeeper doubled the distance from the center of the green to the edge of the green . what is the total area of the renovated green ? \nOptions: a ) 1000 π , b ) 400 π , c ) 280 π , d ) 200 π , e ) 20 π", "output": [ "c" ] }, { "id": "task1423-9d54ebcf0c0f446aa55a9afa235e6dbd", "input": "Problem: the area of a rhombus is equal to the area of a square whose side length is 8 cm . if one of the diagonals is 16 cm what is the length of other diagonal ? \nOptions: ['a ) 4', 'b ) 8', 'c ) 12', 'd ) 16', 'e ) 20']", "output": [ "b" ] }, { "id": "task1423-ecf0aba9b08a427e8df3e6f704cf29ff", "input": "Problem: abcd is a square . e and f are the midpoints of sides cd and bc , respectively . what is the ratio of the shaded region area to the unshaded region ? \nOptions: ['a ) 1 : 1', 'b ) 2 : 1', 'c ) 3 : 1', 'd ) 5 : 3', 'e ) 8 : 3']", "output": [ "d" ] }, { "id": "task1423-ab412f0f04d84520b45608bc0ed7d06a", "input": "Problem: if a 3 cm cube is cut into 1 cm cubes , then what is the percentage increase in the surface area of the resulting cubes ? \nOptions: a ) 40 % , b ) 100 % , c ) 150 % , d ) 200 % , e ) 300 %", "output": [ "d" ] }, { "id": "task1423-96876a8a1192451c97eaf411fa3a3bde", "input": "Problem: what will be the cost of building a fence around a square plot with area equal to 36 sq ft , if the price per foot of building the fence is rs . 58 ? \nOptions: a ) 3944 , b ) 2882 , c ) 2999 , d ) 2667 , e ) 1392", "output": [ "e" ] }, { "id": "task1423-e2691c9b05394319910e0026cb6581bc", "input": "Problem: the perimeter of a square is equal to the perimeter of a rectangle of length 18 cm and breadth 14 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) \nOptions: a ) 23.57 , b ) 23.54 , c ) 23.5 , d ) 24.55 , e ) 25.14", "output": [ "e" ] }, { "id": "task1423-c4dd2334a6f54d64bbf22beae069bd74", "input": "Problem: the length of each side of square a is increased by 100 percent to make square b . if the length of the side of square b is increased by 25 percent to make square c , by what percent is the area of square c greater than the sum of the areas of squares a and b ? \nOptions: a ) 75 % , b ) 25 % , c ) 10 % , d ) 45 % , e ) 180 %", "output": [ "d" ] }, { "id": "task1423-275d873c2f1643aabc2b5e33f51bc2ed", "input": "Problem: if the radius of a circle is decreased 30 % , what happens to the area ? \nOptions: a ) 51 % decrease , b ) 20 % decrease , c ) 36 % decrease , d ) 40 % decrease , e ) 50 % decrease", "output": [ "a" ] }, { "id": "task1423-37f95db88975489c8e7db64d7f2dc14d", "input": "Problem: a full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet . oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck ' s tank is completely filled . if the truck ' s tank has a radius of 5 feet and a height of 10 feet , how far did the oil level drop in the stationary tank ? \nOptions: ['a ) 2.5 ft', 'b ) 1 ft', 'c ) 0.5 ft', 'd ) 0.25 ft', 'e ) 0.025 ft']", "output": [ "e" ] }, { "id": "task1423-3da85cb890284081a839abda3d572b39", "input": "Problem: find the area of a parallelogram with base 60 cm and height 16 cm ? \nOptions: a ) 960 cm 2 , b ) 240 cm 2 , c ) 480 cm 2 , d ) 45 cm 2 , e ) 250 cm 2", "output": [ "a" ] }, { "id": "task1423-2ecc7339660f4e5caab73264849a2a81", "input": "Problem: three solid cubes of sides 1 cm , 6 cm and 8 cm are melted to form a new cube . find the surface area of the cube so formed \nOptions: ['a ) 486', 'b ) 366', 'c ) 299', 'd ) 278', 'e ) 1888']", "output": [ "a" ] }, { "id": "task1423-720e34dc53f44ceba06d49d2ffc72363", "input": "Problem: the radius of a cylindrical vessel is 8 cm and height is 3 cm . find the whole surface of the cylinder ? \nOptions: a ) 308 sq cm , b ) 220 sq cm , c ) 440 sq cm , d ) 553.1 sq cm , e ) 138 sq cm", "output": [ "d" ] }, { "id": "task1423-d1d53e6c52b2473586dcca8428813ca9", "input": "Problem: if the radius of a circle that centers at the origin is 5 , how many w points on the circle have integer coordinates ? \nOptions: a ) 4 , b ) 8 , c ) 12 , d ) 15 , e ) 20", "output": [ "c" ] }, { "id": "task1423-42c526a64a5c4b40ad20f34fed8a5d6f", "input": "Problem: what is the measure of the radius of the circle that circumscribes a triangle whose sides measure 7 , 24 and 25 ? \nOptions: a ) 2.5 , b ) 6.5 , c ) 12.5 , d ) 14 , e ) 16", "output": [ "c" ] }, { "id": "task1423-c375962f3fee48788e73c8b9b8deba8b", "input": "Problem: find the area of the quadrilateral of one of its diagonals is 40 cm and its off sets 11 cm and 9 cm ? \nOptions: a ) 100 cm 2 , b ) 150 cm 2 , c ) 333 cm 2 , d ) 400 cm 2 , e ) 750 cm 2", "output": [ "d" ] }, { "id": "task1423-b1b3e62abeff43488d2ad39f4a2916c2", "input": "Problem: if the area of a square with sides of length 4 centimeters is equal to the area of a rectangle with a width of 8 centimeters , what is the length of the rectangle , in centimeters ? \nOptions: a ) 4 , b ) 8 , c ) 2 , d ) 16 , e ) 18", "output": [ "c" ] }, { "id": "task1423-85f27ed097134754b80c844c4ee04df0", "input": "Problem: the measure of the side of a square is quadrupled . if x represents the perimeter of the original square , what is the value of the new perimeter ? \nOptions: ['a ) 3 x', 'b ) 4 x', 'c ) 9 x', 'd ) 12 x', 'e ) 27 x']", "output": [ "b" ] }, { "id": "task1423-8bb5be5928b542a192cdc5256394b381", "input": "Problem: a certain cube floating in a bucket of water has between 80 and 90 percent of its volume below the surface of the water . if between 6 and 13 cubic centimeters of the cube ' s volume is above the surface of the water , then the length of a side of the cube is approximately \nOptions: a ) 4 , b ) 5 , c ) 7 , d ) 8 , e ) 9", "output": [ "a" ] }, { "id": "task1423-74a77e5df6424035a66e54c4480dea58", "input": "Problem: there is a square with side ‘ a ’ and one octagon is inscribed in it . what will be perimeter of octagon . \nOptions: ['a ) 8 a / 3', 'b ) 7 a / 3', 'c ) 5 a / 3', 'd ) a / 3', 'e ) 11 a / 3']", "output": [ "a" ] }, { "id": "task1423-44b4175ca844482684726053b8ee84a7", "input": "Problem: the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 675 sq m , then what is the breadth of the rectangular plot ? \nOptions: a ) 16 , b ) 17 , c ) 18 , d ) 15 , e ) 14", "output": [ "d" ] }, { "id": "task1423-13f560740e294414b118555a348c1406", "input": "Problem: if a rectangular room measures 12 meters by 6 meters by 4 meters , what is the volume of the room in cubic centimeters ? ( 1 meter = 100 centimeters ) \nOptions: a ) 288 , 000,000 , b ) 240,000 , c ) 2 , 400,000 , d ) 24 , 000,000 , e ) 240 , 000,000", "output": [ "a" ] }, { "id": "task1423-17780ff19f3d4a87ad1503b26a5781c9", "input": "Problem: if a cube has a volume of 125 , what is the surface area of one side ? \nOptions: ['a ) 5', 'b ) 25', 'c ) 50', 'd ) 150', 'e ) 625']", "output": [ "b" ] }, { "id": "task1423-476716b33b5c4d70b6c92f47278e397c", "input": "Problem: the size of a flat - screen television is given as the length of the screen ’ s diagonal . how many square inches greater is the screen of a square 24 - inch flat - screen television than a square 17 - inch flat - screen television ? \nOptions: a ) 143.5 , b ) 154 , c ) 160 , d ) 148.75 , e ) 142.25", "output": [ "a" ] }, { "id": "task1423-cfddae8e846e491ea164c67da3a2f635", "input": "Problem: square p is inscribed in circle q . if the perimeter of p is 40 , what is the circumference of q ? \nOptions: ['a ) 11 √ 2 π', 'b ) 10 √ 2 π', 'c ) 9 √ 2 π', 'd ) 8 √ 2 π', 'e ) 7 √ 2 π']", "output": [ "b" ] }, { "id": "task1423-4a128c6ff1bf440fbf4e671988cec911", "input": "Problem: the parameter of a square is equal to the perimeter of a rectangle of length 22 cm and breadth 16 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) \nOptions: a ) 77.14 cm , b ) 47.14 cm , c ) 84.92 cm , d ) 29.85 cm , e ) 23.57 cm", "output": [ "d" ] }, { "id": "task1423-154fa1f764ae4b2bbb9e04e77f4a7886", "input": "Problem: in how many w ways can 5 people from a group of 6 people be seated around a circular table \nOptions: ['a ) 56', 'b ) 80', 'c ) 100', 'd ) 120', 'e ) 144']", "output": [ "e" ] }, { "id": "task1423-0ecbff046485478fbf597836e096d4c7", "input": "Problem: find the area of a rhombus one side of which measures 20 cm and one diagonal is 27 cm . \nOptions: a ) 600 cm 2 , b ) 500 cm 2 , c ) 400 cm 2 , d ) 432 cm 2 , e ) 100 cm 2", "output": [ "d" ] }, { "id": "task1423-bf4f2d614fa04c54a845bd91f8d28745", "input": "Problem: one side of the bottom layer of a triangular pyramid has 12 balls . how many are there in the whole pyramid ? note that the pyramid is equilateral and solid . \nOptions: ['a ) 286', 'b ) 364', 'c ) 504', 'd ) 164', 'e ) 165']", "output": [ "b" ] }, { "id": "task1423-bca06ed440d94f7ca5c307e4ca08ba5a", "input": "Problem: the floor of a rectangular room is 20 m long and 12 m wide . the room is surrounded by a veranda of width 2 m on all its sides . the area of the veranda is : \nOptions: a ) 144 m 2 , b ) 120 m 2 , c ) 108 m 2 , d ) 158 m 2 , e ) none of these", "output": [ "a" ] }, { "id": "task1423-635f48abf5fb4bde9d182b6bc88d0d2a", "input": "Problem: a rectangular room has the rectangular shaped rug shown as above figure such that the rug ’ s area is 140 square feet and its length is 4 feet longer than its width . if the uniform width between the rug and room is 4 feet , what is the area of the region uncovered by the rug ( shaded region ) , in square feet ? \nOptions: a ) 32 , b ) 36 , c ) 40 , d ) 46 , e ) 256", "output": [ "e" ] }, { "id": "task1423-606d25f91f364700862b32b322d6088f", "input": "Problem: the size of a flat - screen tablet is given as the length of the screen ’ s diagonal . how many square inches greater is the screen of a square 6 - inch flat - screen tablet than a square 5 - inch flat - screen tablet ? \nOptions: ['a ) 5.0', 'b ) 6.0', 'c ) 6.8', 'd ) 5.8', 'e ) 5.5']", "output": [ "e" ] }, { "id": "task1423-5c89070c95244c9fa59cde37ab209213", "input": "Problem: what is the probability of getting equilateral triangles from the vertices of regular hexagon ? \nOptions: a ) 1 / 10 , b ) 2 / 10 , c ) 3 / 10 , d ) 4 / 10 , e ) 5 / 10", "output": [ "a" ] }, { "id": "task1423-ba46b821dbeb4c8fbdf72ab9070cc68d", "input": "Problem: f and e are midpoints of ab and ad respectively . if the side of square abcd is 8 , what is the area of triangle cef ? \nOptions: ['a ) 8 √ 2', 'b ) 9 √ 3', 'c ) 18', 'd ) 16 √ 2', 'e ) 24']", "output": [ "e" ] }, { "id": "task1423-edac63348ddc470593f4b7aada7b87b0", "input": "Problem: square x is inscribed in circle y . if the perimeter of x is 64 , what is the circumference of y ? \nOptions: ['a ) 16 √ 2 π', 'b ) 8 √ 2 π', 'c ) 22 √ 2 π', 'd ) 12 √ 2 π', 'e ) 9']", "output": [ "a" ] }, { "id": "task1423-3945a5969305435fb825138b155e2578", "input": "Problem: a gardener grows cabbages in her garden that is in the shape of a square . each cabbage takes 1 square feet of area in her garden . this year , she has increased her output by 199 cabbages as compared to last year . the shape of the area used for growing the cabbages has remained a square in both these years . how many cabbages did she produce this year ? \nOptions: a ) 10,000 , b ) 11,025 , c ) 14,400 , d ) 12,696 , e ) can not be determined", "output": [ "a" ] }, { "id": "task1423-e79938762edd414c84800a84815260ca", "input": "Problem: a piece of paper is in the shape of a right angled triangle and is cut along a line that is parallel to the hypotenuse , leaving a smaller triangle . there was a 35 % reduction in the length of the hypotenuse of the triangle . if the area of the original triangle was 34 square inches before the cut , what is the area ( in square inches ) of the smaller triangle ? \nOptions: ['a ) 16.665', 'b ) 16.565', 'c ) 15.465', 'd ) 14.365', 'e ) 14.378']", "output": [ "d" ] }, { "id": "task1423-4f0796c272b54028ae3c908755210f26", "input": "Problem: if the length of the longest chord of a certain circle is 10 , what is the radius of that certain circle ? \nOptions: ['a ) 2.5', 'b ) 5', 'c ) 10', 'd ) 15', 'e ) 20']", "output": [ "b" ] }, { "id": "task1423-efa39a841bc541b3937a9023c9aed0f1", "input": "Problem: four horses are tethered at 4 corners of a square field of side 70 metres so that they just can not reach one another . the area left ungrazed by the horses is : \nOptions: ['a ) 1050 sq . m', 'b ) 3850 sq . m', 'c ) 950 sq . m', 'd ) 1075 sq . m', 'e ) 1065 sq . m']", "output": [ "a" ] }, { "id": "task1423-bc40e2ea7bab45e695142506f0845157", "input": "Problem: the length of rectangle is thrice its breadth and its perimeter is 72 m , find the area of the rectangle ? \nOptions: a ) 432 , b ) 212 , c ) 243 , d ) 992 , e ) 212", "output": [ "c" ] }, { "id": "task1423-3c1af5d5555a40b2b2b5f0e57cd3d53e", "input": "Problem: what is the angle between the hands of a clock when time is 8 : 20 ? \nOptions: a ) 65 deg , b ) 75 deg , c ) 50 deg , d ) 15 deg , e ) 30 deg", "output": [ "c" ] }, { "id": "task1423-a706b34a8cb047d29dfdb261c1dfbf0a", "input": "Problem: mr . loyd wants to fence his square shaped land of 150 sqft each side . if a pole is laid every 30 ft how many poles do he need ? \nOptions: ['a ) 20', 'b ) 30', 'c ) 40', 'd ) 50', 'e ) 60']", "output": [ "b" ] }, { "id": "task1423-74ec2a472cad4260ab82c5d8a0d831eb", "input": "Problem: a square mirror has exactly half the area of the rectangular wall on which it is hung . if each side of the mirror is 18 inches and the width of the wall is 32 inches , what is the length of the wall , in inches ? \nOptions: a ) 15.25 , b ) 18.25 , c ) 19.25 , d ) 20.25 , e ) 21.25", "output": [ "d" ] }, { "id": "task1423-7ef2ed5fc35440858493df85ed1d33fb", "input": "Problem: the length of a rectangular plot is 10 mtr more than its width . the cost of fencing the plot along its perimeter at the rate of rs . 6.5 mtr is rs . 1430 . the perimeter of the plot is ? \nOptions: a ) 126 , b ) 156 , c ) 190 , d ) 321 , e ) 220", "output": [ "e" ] }, { "id": "task1423-a443280e949e46f3b81a04dd67536497", "input": "Problem: if the area of circle is 616 sq cm then its circumference ? \nOptions: ['a ) 76', 'b ) 55', 'c ) 88', 'd ) 21', 'e ) 11']", "output": [ "c" ] }, { "id": "task1423-f0c59086e4b648d1a8f0b27af40ec427", "input": "Problem: the dimensions of a rectangular solid are 6 inches , 5 inches , and 8 inches . if a cube , a side of which is equal to one of the dimensions of the rectangular solid , is placed entirely within thespherejust large enough to hold the cube , what the ratio of the volume of the cube to the volume within thespherethat is not occupied by the cube ? \nOptions: ['a ) 10 : 17', 'b ) 2 : 5', 'c ) 5 : 16', 'd ) 10 : 19', 'e ) 32 : 25']", "output": [ "d" ] }, { "id": "task1423-dd11924c0c9d4de38b9140b433383d9e", "input": "Problem: the length of rectangle is thrice its breadth and its perimeter is 80 m , find the area of the rectangle ? \nOptions: a ) 360 , b ) 376 , c ) 299 , d ) 276 , e ) 111", "output": [ "a" ] }, { "id": "task1423-0dff35b2eda5408c834d7667f9174402", "input": "Problem: huey ' s hip pizza sells two sizes of square pizzas : a small pizza that measures 6 inches on a side and costs $ 10 , and a large pizza that measures 9 inches on a side and costs $ 20 . if two friends go to huey ' s with $ 30 apiece , how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone ? \nOptions: a ) 9 square inches , b ) 10 square inches , c ) 15 square inches , d ) 25 square inches , e ) 350 square inches", "output": [ "a" ] }, { "id": "task1423-c6cfc06e540e4ab1bb188c334f4d195f", "input": "Problem: if the height of a triangle is decreased by 40 % , land its base is increased by 40 % , what will be the effect on its area ? \nOptions: ['a ) no change', 'b ) 16 % increase', 'c ) 8 % decrease', 'd ) 16 % decrease', 'e ) none of thes']", "output": [ "d" ] }, { "id": "task1423-c3f4e215c90d46d59d93b93e6e0ab7e8", "input": "Problem: the dimensions of a rectangular solid are 4 inches , 5 inches , and 9 inches . if a cube , a side of which is equal to one of the dimensions of the rectangular solid , is placed entirely within thespherejust large enough to hold the cube , what the ratio of the volume of the cube to the volume within thespherethat is not occupied by the cube ? \nOptions: a ) 2 : 5 , b ) 5 : 9 , c ) 5 : 16 , d ) 25 : 7 , e ) 32 : 25", "output": [ "b" ] }, { "id": "task1423-c333a21c32474d3a84f37e06073d3218", "input": "Problem: the area of a parallelogram is 128 sq m . then the area of a triangle formed by its diagonal is - - - - - - - - - - ? \nOptions: ['a ) 128 m', 'b ) 64 m', 'c ) 64 m ^ 2', 'd ) 128 m ^ 2', 'e ) none']", "output": [ "b" ] }, { "id": "task1423-e5f9ba2ecbff42f6a587a44138d4d215", "input": "Problem: the area of a square field is 1225 km 2 . how long will it take for a horse to run around at the speed of 20 km / h ? \nOptions: a ) 7 h , b ) 10 h , c ) 8 h , d ) 6 h , e ) none of these", "output": [ "a" ] }, { "id": "task1423-ae22ec4743f846caa53506b3c8cb2d11", "input": "Problem: the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 384 square centimeters , what is the length of the rectangle in centimeters ? \nOptions: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24", "output": [ "e" ] }, { "id": "task1423-7cc990bda00d4ee2be628c2ceb8a50b8", "input": "Problem: if the sides of a cube are in the ratio 5 : 3 . what is the ratio of their diagonals ? \nOptions: ['a ) 5 : 9', 'b ) 9 : 3', 'c ) 5 : 4', 'd ) 3 : 5', 'e ) 5 : 3']", "output": [ "e" ] }, { "id": "task1423-df0b8d274287400e8271f5446496ec00", "input": "Problem: a rectangle having length 150 cm and width 40 cm . if the length of the rectangle is increased by fifteen percent then how much percent the breadth should be decreased so as to maintain the same area . \nOptions: a ) 25 % , b ) 9.09 % , c ) 40 % , d ) 75 % , e ) none of these", "output": [ "b" ] }, { "id": "task1423-23a3dc3f209d4de5baf3628d9372728a", "input": "Problem: what will be the cost of building a fence around a square plot with area equal to 144 sq ft , if the price per foot of building the fence is rs . 58 ? \nOptions: a ) 2784 , b ) 2287 , c ) 2977 , d ) 2668 , e ) 1298", "output": [ "a" ] }, { "id": "task1423-7a9bca74fe5a4a618e5afa48f72a9fc0", "input": "Problem: what will be the ratio between the area of a rectangle and the area of a triangle with one of the sides of the rectangle as base and a vertex on the opposite side of the rectangle ? \nOptions: ['a ) 1 : 1', 'b ) 1 : 2', 'c ) 2 : 3', 'd ) 2 : 1', 'e ) none of these']", "output": [ "d" ] }, { "id": "task1423-add1218732c34a4395c3bf2edf347481", "input": "Problem: a cube is divided into 64 identical cubelets . each cut is made parallel to some surface of the cube . but before doing that , the cube is painted with green on one set of opposite faces , red on another set of opposite faces , and blue on the third set of opposite faces . how many cubelets are painted with exactly one colour ? \nOptions: a ) 12 , b ) 16 , c ) 20 , d ) 24 , e ) 30", "output": [ "d" ] }, { "id": "task1423-aa1d37d1670e4145b92f40849dbc7333", "input": "Problem: the length and breadth of the floor of the room are 20 feet and 10 feet respectively . square tiles of 2 feet length of different colours are to be laid on the floor . black tiles are laid in the first row on all sides . if white tiles are laid in the one - third of the remaining and blue tiles in the rest , how many blue tiles will be there ? \nOptions: ['a ) 16', 'b ) 24', 'c ) 32', 'd ) 48', 'e ) none of these']", "output": [ "a" ] }, { "id": "task1423-e10af08423ce4e149c2a0bcb02fbbf52", "input": "Problem: what is the ratio e of the surface area of a cube to the surface area of a rectangular solid identical to the cube in all ways except that its length has been doubled ? \nOptions: ['a ) 1 / 4', 'b ) 3 / 8', 'c ) 1 / 2', 'd ) 3 / 5', 'e ) 2']", "output": [ "d" ] }, { "id": "task1423-e701d15b6a12445d8ab936c0ab51c5e9", "input": "Problem: a metallic sheet is of rectangular shape with dimensions 48 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m ^ 3 ) is : \nOptions: a ) 2130 , b ) 3620 , c ) 4512 , d ) 5620 , e ) 5120", "output": [ "e" ] }, { "id": "task1423-f49f3bde0ded4e80978756e0c514592f", "input": "Problem: the ratio of the volumes of two cubes is 3375 : 1331 . what is the ratio of their total surface areas ? \nOptions: a ) 225 : 121 , b ) 221 : 127 , c ) 225 : 191 , d ) 181 : 161 , e ) 81 : 182", "output": [ "a" ] }, { "id": "task1423-d5d0cb2d11af47f18c5a820068e7ab7e", "input": "Problem: abcd is a square where ab = √ 2016 . let x be a point on ab and y be a point on cd such that ax = cy . compute the area of trapezoid axyd . \nOptions: a ) 3008 , b ) 2002 , c ) 1008 , d ) 2016 , e ) 3000", "output": [ "c" ] }, { "id": "task1423-88fc3f79e2f34713bbf7bc4277615268", "input": "Problem: the area of a side of a box is 120 sq cm . the area of the other side of the box is 72 sq cm . if the area of the upper surface of the box is 60 sq cm then find the volume of the box . \nOptions: ['a ) 259200 cm 3', 'b ) 86400 cm 3', 'c ) 720 cm 3', 'd ) can not be determined', 'e ) none of these']", "output": [ "c" ] }, { "id": "task1423-6375de18fc734ec387f587472ce7c150", "input": "Problem: a circular ground whose radius is 15 metres , has a 1.2 metre - broad garden around it . what is the area of the garden in square metres ? \nOptions: ['a ) 118.67', 'b ) 116.67', 'c ) 117.67', 'd ) 120.56', 'e ) 120.57']", "output": [ "c" ] }, { "id": "task1423-0d244bd57f1046b58d96ce5a56c99aa5", "input": "Problem: how many diagonals does a polygon with 15 sides have , if one of its vertices does not connect to any diagonal ? \nOptions: ['a ) 80', 'b ) 90', 'c ) 77', 'd ) 88', 'e ) 99']", "output": [ "c" ] }, { "id": "task1423-3ece1d9f6b7d422fb28fcb44adc0d375", "input": "Problem: the perimeter of a rectangular yard is completely surrounded by a fence that measures 18 meters . what is the length of the yard if the area of the yard is 20 meters squared ? \nOptions: a ) 8 , b ) 2 , c ) 7 , d ) 5 , e ) 1", "output": [ "d" ] }, { "id": "task1423-9646bf0bb31544d28c68171ac61f9c7f", "input": "Problem: the slant height of a cone is 13 cm and radius of the base is 9 cm , find the curved surface of the cone ? \nOptions: a ) 367 , b ) 378 , c ) 365 , d ) 26 , e ) 28", "output": [ "a" ] }, { "id": "task1423-b133f82d773542628d9d87f12dbeaf69", "input": "Problem: a rectangular field has to be fenced on three sides leaving a side of 25 feet uncovered . if the area of the field is 880 sq . feet , how many feet of fencing will be required ? \nOptions: a ) 75.4 feet , b ) 98.4 feet , c ) 95.4 feet , d ) 85.4 feet , e ) 92.4 feet", "output": [ "c" ] }, { "id": "task1423-604474ac1e454d389de8e69cbce0af07", "input": "Problem: a certain rectangular crate measures 8 feet by 14 feet by 16 feet . a cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces . what should the radius of the tank be if it is to be of the largest possible volume ? \nOptions: a ) 4 , b ) 5 , c ) 6 , d ) 8 , e ) 10", "output": [ "c" ] }, { "id": "task1423-0b5ca87e62d842e98d07de57068f7828", "input": "Problem: the sides of a cube are in the ratio of 1 : 2 the ratio of their volumes is ? \nOptions: a ) 1 : 2 , b ) 1 : 4 , c ) 1 : 8 , d ) 2 : 1 , e ) 2 : 4", "output": [ "c" ] }, { "id": "task1423-3bf60b5d14184714af2aa161cb76cd4b", "input": "Problem: the length and breadth of a rectangle is increased by 5 % and 15 % respectively . what is the increase in the area ? \nOptions: a ) 21.25 , b ) 22.75 , c ) 19.25 , d ) 20.75 , e ) 22.25", "output": [ "d" ] }, { "id": "task1423-b0386bba797146279f010cffcd21f4f6", "input": "Problem: the radius of a cylinder is 9 m , height 12 m . the volume of the cylinder is : \nOptions: a ) 2200 , b ) 5500 , c ) 3054.9 , d ) 1100 , e ) 4400", "output": [ "c" ] }, { "id": "task1423-92e66ad30ea24030b2142053256925f0", "input": "Problem: d and e are two points respectively on sides ab and ac of triangle abc such that de is parallel to bc . if the ratio of area of triangle ade to that of the trapezium decb is 144 : 25 and de = 13 cm , then find the length of bc . \nOptions: ['a ) 5', 'b ) 13', 'c ) 14', 'd ) 11', 'e ) 15']", "output": [ "a" ] }, { "id": "task1423-9cb7d092a5ba4a24b260f061ad78ea2e", "input": "Problem: if the sides of a triangle are 26 cm , 24 cm and 15 cm , what is its area ? \nOptions: a ) 120 , b ) 772 , c ) 180 , d ) 266 , e ) 2848", "output": [ "c" ] }, { "id": "task1423-a5b26d3ae82d4906a65039e0770a14f6", "input": "Problem: difference between the length & breadth of a rectangle is 30 m . if its perimeter is 300 m , then its area is ? ? we have : ( l - b ) = 30 and 2 ( l + b ) = 300 or ( l + b ) = 150 ? \nOptions: a ) 3 : 5 , b ) 2 : 3 , c ) 3 : 6 , d ) 3 : 4 , e ) 3 : 2", "output": [ "e" ] }, { "id": "task1423-8014773740ef4cfb84dbaed832b85d2d", "input": "Problem: a box measuring 25 inches long by 30 inches wide by 15 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ? \nOptions: a ) 80 , b ) 82 , c ) 84 , d ) 88 , e ) 90", "output": [ "e" ] }, { "id": "task1423-deaf12f4d93043869878c38ca3bd06d5", "input": "Problem: a cube of edge 6 cm is cut into cubes each of edge 1 cm . the ratio of the total surface area of one of the small cubes to that of the large cube is equal to : \nOptions: a ) 1 : 25 , b ) 1 : 36 , c ) 1 : 52 , d ) 1 : 522 , e ) none", "output": [ "b" ] }, { "id": "task1423-4b4a96f6fe094162bd54633d1e4eb2e9", "input": "Problem: a wooden cube whose edge length is 6 inches is composed of smaller cubes with edge lengths of one inch . the outside surface of the large cube is painted red and then it is split up into its smaller cubes . if one cube is randomly selected from the small cubes , what is the probability that the cube will have at least one red face ? \nOptions: ['a ) 54.9 %', 'b ) 58.7 %', 'c ) 62.5 %', 'd ) 66.3 %', 'e ) 70.4 %']", "output": [ "e" ] }, { "id": "task1423-2118ed77380d45b2ad107694c8adc7e4", "input": "Problem: the area of circle o is added to its diameter . if the circumference of circle o is then subtracted from this total , the result is 12 . what is the radius of circle o ? \nOptions: ['a ) – 2 / pi', 'b ) 2', 'c ) 3', 'd ) 4', 'e ) 6']", "output": [ "e" ] }, { "id": "task1423-70ca7eac2d8643c59a42b2a275cdcf37", "input": "Problem: a rectangular wall is covered entirely with two kinds of decorative tiles : regular and jumbo . 1 / 3 of the tiles are jumbo tiles , which have a length three times that of regular tiles and have the same ratio of length to width as the regular tiles . if regular tiles cover 60 square feet of the wall , and no tiles overlap , what is the area of the entire wall ? \nOptions: ['a ) 160', 'b ) 240', 'c ) 330', 'd ) 440', 'e ) 560']", "output": [ "c" ] }, { "id": "task1423-367454545c94481fa5692fa45ea8c166", "input": "Problem: the ratio of the volumes of two cubes is 125 : 216 . what is the ratio of their total surface areas ? \nOptions: a ) 13 : 18 , b ) 8 : 12 , c ) 1 : 12 , d ) 8 : 17 , e ) 1 : 11", "output": [ "a" ] }, { "id": "task1423-7d9e12aa3c324471840572603e0a24db", "input": "Problem: a rectangular farm has to be fenced one long side , one short side and the diagonal . if the cost of fencing is rs . 12 per meter . the area of farm is 1200 m 2 and the short side is 30 m long . how much would the job cost ? \nOptions: a ) 1440 , b ) 1200 , c ) 2832 , d ) 1299 , e ) 1236", "output": [ "a" ] }, { "id": "task1423-bf403787fa044ca69dd59408dd9b88ef", "input": "Problem: the volume of the sphere qq is ( dfrac { 37 } { 64 } % ) less than thevolume of sphere pp and the volume of sphere rr is ( dfrac { 19 } { 27 } % ) less than that of sphere qq . by what is the surface areaof sphere rr less than the surfacearea of sphere pp ? \nOptions: ['a ) 40 %', 'b ) 50 %', 'c ) 75 %', 'd ) 80 %', 'e ) 90 %']", "output": [ "c" ] }, { "id": "task1423-2250d91a8dda43e8a818566707836907", "input": "Problem: a circular grass lawn of 35 metres in radius has a path 7 metres wide running around it on the outside . find the area of path . \nOptions: ['a ) 1694 m 2', 'b ) 1700 m 2', 'c ) 1598 m 2', 'd ) 1500 m 2', 'e ) none of thes']", "output": [ "a" ] }, { "id": "task1423-bf862b08b7994277b8595ddf70e5f0fe", "input": "Problem: calculate the effect changes in dimension of a rectangle will have on its area , if length is increased by 20 % and its breadth is decreased by 5 % ? \nOptions: ['a ) 14 percent increase', 'b ) 5 percent increase', 'c ) 24 percent increase', 'd ) 13 percent increase', 'e ) 11 percent increase']", "output": [ "a" ] }, { "id": "task1423-f414ef9e6b9b478b99adc536ae75b206", "input": "Problem: there is a right angle triangle inside a circle of diameter 18 cm . inside this triangle , there is another circle of diameter 6 cm . find the perimeter of the triangle . \nOptions: ['a ) 24 cm', 'b ) 36 * 2 ^ 1 / 2 cm', 'c ) 36 cm', 'd ) 54 cm', 'e ) 42 cm']", "output": [ "e" ] }, { "id": "task1423-8ac41680abfb4a62997ebf0cfcfeff2a", "input": "Problem: three fifth of the square of a certain number is 126.15 . what is the number ? \nOptions: ['a ) 210.25', 'b ) 75.69', 'c ) 14.5', 'd ) 145', 'e ) 150']", "output": [ "c" ] }, { "id": "task1423-dab29db2dfd448649f33447a364e3a4e", "input": "Problem: a cylindrical can has a radius of 3 centimeters and a height of 12 centimeters . what is the area , in square centimeters , of a rectangular label that completely covers the curved surface of the can without over - lapping ? \nOptions: a ) 16 pi , b ) 72 pi , c ) 96 pi , d ) 192 pi , e ) 576 pi", "output": [ "b" ] }, { "id": "task1423-19f63a9bd75e4fe7a3f9147b3a2d38aa", "input": "Problem: two cubes of their volumes in the ratio 8 : 125 . the ratio of their surface area is : \nOptions: ['a ) 1.5 : 5', 'b ) 2 : 5', 'c ) 3 : 5', 'd ) 1 : 5', 'e ) 4 : 5']", "output": [ "b" ] }, { "id": "task1423-24720f8d462648c4bf4a346d87c1963d", "input": "Problem: the number 150 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ? \nOptions: a ) 17 , b ) 18 , c ) 15 , d ) 14 , e ) 13", "output": [ "b" ] }, { "id": "task1423-793d8b4ea62f4e73b091d9d2970d21fd", "input": "Problem: if the area of a triangle with base 6 cm is equal to the area of a square with side 6 cm , then the altitude of the triangle is \nOptions: ['a ) 12 cm', 'b ) 10 cm', 'c ) 11 cm', 'd ) 15 cm', 'e ) 20 cm']", "output": [ "a" ] }, { "id": "task1423-f8f6a7bf75a747ca9da0cd1f00983324", "input": "Problem: the perimeter of a triangle is 32 cm and the inradius of the triangle is 3.5 cm . what is the area of the triangle ? \nOptions: a ) 22 , b ) 35 , c ) 56 , d ) 54 , e ) 23", "output": [ "c" ] }, { "id": "task1423-11c56627c94e47f7930b1aa9c6515dc6", "input": "Problem: 3 interviewers , x , y , and z are interviewing 40 applicants . only with 3 interviewers ' admission can an applicant be admitted . if interviewer x admitted 15 applicants , y admitted 17 applicants , and z admitted 20 applicants , at least how many applicants get the admission ? \nOptions: a ) 0 , b ) 2 , c ) 6 , d ) 8 , e ) 12", "output": [ "a" ] }, { "id": "task1423-2ab6db021d6e49fba5df5f96eae8f037", "input": "Problem: what is the area of a square field whose diagonal of length 30 m ? \nOptions: a ) 287 , b ) 269 , c ) 450 , d ) 200 , e ) 230", "output": [ "c" ] }, { "id": "task1423-7faf607fd0ce49309731e8d42db13711", "input": "Problem: a metallic sheet is of rectangular shape with dimensions 48 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 6 m , the volume of the box ( in m 3 ) is : \nOptions: a ) 4830 , b ) 5184 , c ) 6420 , d ) 8960 , e ) 7960", "output": [ "b" ] }, { "id": "task1423-27ceecc89fc8439498390f20033a9684", "input": "Problem: the area of a square is 6400 sq cm . find the ratio of the breadth and the length of a rectangle whose length is thrice the side of the square and breadth is 30 cm less than the side of the square ? \nOptions: a ) 5 : 24 , b ) 5 : 19 , c ) 5 : 13 , d ) 5 : 22 , e ) 5 : 18", "output": [ "a" ] }, { "id": "task1423-34eefb47634c445f96edf52ddf876503", "input": "Problem: a cube is divided into 343 identical cubelets . each cut is made parallel to some surface of the cube . but before doing that , the cube is painted with green on one set of opposite faces , red on another set of opposite faces , and blue on the third set of opposite faces . how many cubelets are painted with exactly one colour ? \nOptions: a ) 125 , b ) 150 , c ) 175 , d ) 200 , e ) 225", "output": [ "b" ] }, { "id": "task1423-7ab2675a642b4085ba7377b44f756406", "input": "Problem: the area of a circular field is 17.56 hectares . find the cost of fencing it at the rate of rs . 4 per metre approximately \nOptions: a ) 4457 , b ) 4567 , c ) 5943 , d ) 4547 , e ) 4675", "output": [ "c" ] }, { "id": "task1423-a413df7ebaa24ebcb76418f6bb79219d", "input": "Problem: the radius of the two circular fields is in the ratio 3 : 7 the area of the first field is what percent less than the area of the second ? \nOptions: a ) 82.9 % , b ) 84.2 % , c ) 81.0 % , d ) 80.6 % , e ) 81.6 %", "output": [ "e" ] }, { "id": "task1423-eee75315ec3340c4b4377a93d8beffb0", "input": "Problem: when magnified 1,000 times by an electron microscope , the image of a certain circular piece of tissue has a diameter of 0.3 centimeter . the actual diameter of the tissue , in centimeters , is \nOptions: a ) 0.005 , b ) 0.002 , c ) 0.001 , d ) 0.0003 , e ) 0.0002", "output": [ "d" ] }, { "id": "task1423-d28fc4f85f6046d3b41e19c3bae5564e", "input": "Problem: a larger cube has 64 cubic inch as a volume and in the cube there are 64 smaller cubes such that their volume is 1 cubic inch . what is the difference between the surface areas ’ sum of the 64 smaller cubes and the surface area of the larger cube , in square inch ? \nOptions: a ) 54 , b ) 64 , c ) 81 , d ) 288 , e ) 120", "output": [ "d" ] }, { "id": "task1423-ea2ae8ecb1004385b3c30b965502acc4", "input": "Problem: in a certain parallelogram the degree measure of one angle exceeds that of the other by 50 what is the degree measure of the smaller angle ? \nOptions: a ) 65 , b ) 80 , c ) 85 , d ) 90 , e ) 95", "output": [ "a" ] }, { "id": "task1423-4026e8f20f0a4730a4474a7c09217070", "input": "Problem: find the area of a rhombus one side of which measures 20 cm and one diagonal is 25 cm . \nOptions: a ) 700 cm 2 , b ) 600 cm 2 , c ) 500 cm 2 , d ) 400 cm 2 , e ) 100 cm 2", "output": [ "d" ] }, { "id": "task1423-f7435ce74e0147a4a92e9be75c62499d", "input": "Problem: rectangular floors x and y have equal area . if floor x is 10 feet by 18 feet and floor y is 9 feet wide , what is the length of floor y , in feet ? \nOptions: ['a ) 13 1 / 2', 'b ) 20', 'c ) 18 3 / 4', 'd ) 21', 'e ) 24']", "output": [ "b" ] }, { "id": "task1423-36577b867f724adb9f2a88a1e6d0a1bb", "input": "Problem: a cylindrical container of radius 6 cm and height 15 cm is filled with ice - cream . the whole icecream has to be distributed to 10 children in equal cones with hemispherical tops . if the height of the conical portion is four times the radius of its base , find the radius of the ice - cream cone . \nOptions: ['a ) 1', 'b ) 2', 'c ) 3', 'd ) 4', 'e ) 5']", "output": [ "c" ] }, { "id": "task1423-dcbc214d1a054cd8a4ebcad0c401cafb", "input": "Problem: if the length of the longest chord of a certain circle is 18 , what is the radius of that certain circle ? \nOptions: a ) 2.5 , b ) 9 , c ) 10 , d ) 15 , e ) 20", "output": [ "b" ] }, { "id": "task1423-e1289e29d2d9410ebd8b33cec7153915", "input": "Problem: a cubical block of metal weighs 4 pounds . how much will another cube of the same metal weigh if its sides are twice as long ? \nOptions: a ) 48 , b ) 32 , c ) 24 , d ) 18 , e ) 12", "output": [ "b" ] }, { "id": "task1423-c49921dba7b44c598b1680ec503b1184", "input": "Problem: a rectangular tiled patio is composed of 126 square tiles . the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles . after the change in layout , the patio will still have 126 tiles , and it will still be rectangular . how many rows are in the tile patio before the change in layout ? \nOptions: ['a ) 5', 'b ) 6', 'c ) 9', 'd ) 13', 'e ) 28']", "output": [ "c" ] }, { "id": "task1423-a2896bc976a44e019dfc8cc28c76e7ad", "input": "Problem: what is the measure of the angle q made by the diagonals of the any adjacent sides of a cube . \nOptions: a ) 30 , b ) 45 , c ) 60 , d ) 75 , e ) 90", "output": [ "c" ] }, { "id": "task1423-7c81d523ef6d461086b4315748607ad5", "input": "Problem: how many books each of volume 200 meter cube can be packed into a crate of volume 4000 meter cube ? \nOptions: a ) 20 , b ) 40 , c ) 60 , d ) 80 , e ) can not be determined", "output": [ "e" ] }, { "id": "task1423-e55819cc87b74297acd535acb0a47966", "input": "Problem: in the rectangle below , the line mn cuts the rectangle into two regions . find x the length of segment nb so that the area of the quadrilateral mnbc is 40 % of the total area of the rectangle . \nOptions: a ) 1 meter , b ) 2 meter , c ) 3 meter , d ) 4 meter , e ) 5 meter", "output": [ "a" ] }, { "id": "task1423-5cf4e7b1413f4a9ca6258b7e92b01aa6", "input": "Problem: a metallic sheet is of rectangular shape with dimensions 50 m x 30 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 5 m , the volume of the box ( in m cube ) is : \nOptions: a ) 4120 m cube , b ) 4140 m cube , c ) 5140 m cube , d ) 5120 m cube , e ) none of these", "output": [ "e" ] }, { "id": "task1423-ad760de5c2ac4e80843509d36b43805c", "input": "Problem: if y is the smallest positive integer such that 7,700 multiplied by y is the square of an integer , then y must be \nOptions: a ) 29 , b ) 58 , c ) 63 , d ) 74 , e ) 77", "output": [ "e" ] }, { "id": "task1423-9e964659ff784a24ab60cb330a7f8902", "input": "Problem: find the perimeter and area of a square of side 9 cm . \nOptions: a ) 36 , b ) 49 , c ) 64 , d ) 81 , e ) 100", "output": [ "d" ] }, { "id": "task1423-840deed48720466daf112e5c0b7f4512", "input": "Problem: an oil cylinder was 3 / 4 th full . when 4 bottles of oil is poured into it , it is 4 / 5 th full . how many bottles of oil can the full cylinder hold ? \nOptions: a ) 90 , b ) 75 , c ) 70 , d ) 80 , e ) 85", "output": [ "d" ] }, { "id": "task1423-452c78b1ec2b4e4ab854144ffe360568", "input": "Problem: the area of a square is 4489 sq cm . find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square . \nOptions: a ) 5 : 28 , b ) 5 : 19 , c ) 5 : 12 , d ) 5 : 13 , e ) 43 : 134", "output": [ "e" ] }, { "id": "task1423-08b93047c3ab4e83ae67656bbb846041", "input": "Problem: find the perimeter and area of the rectangle of length 11 cm and breadth 9 cm . \nOptions: a ) 71 cm 2 , b ) 99 cm 2 , c ) 141 cm 2 , d ) 171 cm 2 , e ) 221 cm 2", "output": [ "b" ] }, { "id": "task1423-31dfd086911747dd89891030c273d003", "input": "Problem: if anangletis defined as 1 percent of 1 degree , then how many anglets are there in a fifth circle ? \nOptions: a ) 0.36 , b ) 7200 , c ) 360 , d ) 3,600 , e ) 36,000", "output": [ "b" ] }, { "id": "task1423-9f3f097446e5417c94ed20cbf7c32684", "input": "Problem: the radius of a cylindrical vessel is 7 cm and height is 4 cm . find the whole surface of the cylinder ? \nOptions: a ) 484 , b ) 771 , c ) 440 , d ) 767 , e ) 1981", "output": [ "a" ] }, { "id": "task1423-8b473a73ff7247e683b8d56267abcfb9", "input": "Problem: what positive number , when squared , is equal to the cube of the positive square root of 17 ? \nOptions: ['a ) 64', 'b ) 32', 'c ) 8', 'd ) 4', 'e ) 2']", "output": [ "c" ] }, { "id": "task1423-ab449bac13eb4408a740b7b1a873f505", "input": "Problem: find the circumference and area of radius 6 cm . \nOptions: ['a ) 113 cm ²', 'b ) 144 cm ²', 'c ) 154 cm ²', 'd ) 184 cm ²', 'e ) 194 cm ²']", "output": [ "a" ] }, { "id": "task1423-84c48a4abf1e453c83ff1d18fa4db868", "input": "Problem: if anangletis defined as 1 percent of 1 degree , then how many anglets are there in a third circle ? \nOptions: a ) 0.36 , b ) 3.6 , c ) 12,000 , d ) 3,600 , e ) 36,000", "output": [ "c" ] }, { "id": "task1423-044e9afd5a4340ad91048cf7930fd277", "input": "Problem: the breath of a rectangular landscape is 8 times its length . there is a playground in it whose area is 3200 square mtr & which is 1 / 9 rd of the total landscape . what is the breath of the landscape ? \nOptions: ['a ) 420', 'b ) 430', 'c ) 280', 'd ) 360', 'e ) 480']", "output": [ "e" ] }, { "id": "task1423-1b1d0b7733cb4d34afedc1876d6edba7", "input": "Problem: a rectangular courtyard 3.78 m lang and 5.25 m broad is to be paved exactly with square tiles , all of the same size . the minimum number of such tiles is : \nOptions: ['a ) 425', 'b ) 430', 'c ) 440', 'd ) 450', 'e ) 460']", "output": [ "d" ] }, { "id": "task1423-d437898ae82040e8adfd76e444d07c14", "input": "Problem: a spirit and water solution is sold in a market . the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has . a solution of 1 liter of spirit and 1 liter of water costs 50 cents . how many cents does a solution of 1 liter of spirit and 2 liters of water cost ? \nOptions: a ) 13 , b ) 33 , c ) 50 , d ) 51 , e ) 52", "output": [ "c" ] }, { "id": "task1423-9f3b4e6062ed4123b7e6de4d67abe63d", "input": "Problem: carmen made a sculpture from small pieces of wood . the sculpture is 2 feet 10 inches tall . carmen places her sculpture on a base that is 6 inches tall . how tall are the sculpture andbase together ? \nOptions: a ) 3.1 feet , b ) 3.2 feet , c ) 3.3 feet , d ) 3.4 feet , e ) 3.5 feet", "output": [ "c" ] }, { "id": "task1423-3bc7a4fcc41b4bf4b1148f1d9741a738", "input": "Problem: how many 4 x 5 x 8 cubes could fit in a 10 x 16 x 84 box ? \nOptions: a ) 84 , b ) 90 , c ) 85 , d ) 77 , e ) 64", "output": [ "a" ] }, { "id": "task1423-90fbdaa9a0e34b88b05f8b97dbb9aac3", "input": "Problem: the slant height of a cone is 10 cm and radius of the base is 5 cm , find the curved surface of the cone ? \nOptions: a ) 150 , b ) 155 , c ) 158 , d ) 157 , e ) 190", "output": [ "d" ] }, { "id": "task1423-baae234750834edab7af8d085189943c", "input": "Problem: find the area of a parallelogram with base 12 cm and height 18 cm . \nOptions: a ) 200 , b ) 216 , c ) 345 , d ) 244 , e ) 242", "output": [ "b" ] }, { "id": "task1423-1621a29fb3de4be0a1fe81aa17cbf6ed", "input": "Problem: the length of a rectangular landscape is 12 times its breadth . there is a playground in it whose area is 1200 square mtr & which is 1 / 4 rd of the total landscape . what is the length of the landscape ? \nOptions: a ) 90 , b ) 120 , c ) 240 , d ) 180 , e ) 110", "output": [ "c" ] }, { "id": "task1423-c44a93c4396842fa995f6faa915a17da", "input": "Problem: in an electric circuit , two resistors with resistances m and n are connected in parallel . in this case , if p is the combined resistance of these two resistors , then the reciprocal of p is equal to the sum of the reciprocals of m and n . what is p in terms of m and n ? \nOptions: ['a ) ( n - m )', 'b ) mn / ( m + n )', 'c ) ( nm )', 'd ) ( n - m ) / ( m + n )', 'e ) none of these']", "output": [ "b" ] }, { "id": "task1423-edc95ee0c6234e488f13eaf3fa565fcb", "input": "Problem: the perimeter of a triangle is 40 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle \nOptions: a ) a ) 72 , b ) b ) 828 , c ) c ) 50 , d ) d ) 34 , e ) e ) 35", "output": [ "c" ] }, { "id": "task1423-0ac346c4504b4f588d7becad5ebaefe2", "input": "Problem: square abcd is the base of the cube while square efgh is the cube ' s top face such that point e is above point a , point f is above point b etc . what is the distance between the midpoint of edge ab and the midpoint of edge eh if the area of square abcd is 2 ? \nOptions: ['a ) 1 / sqrt 2', 'b ) 1', 'c ) sqrt 2', 'd ) sqrt 3', 'e ) 2 sqrt 3']", "output": [ "d" ] }, { "id": "task1423-3eb611d20fc84496b5c79c5eb45a4d14", "input": "Problem: what is the smallest positive integer that can be multiplied by 432 to make it a perfect square ? \nOptions: a ) 2 , b ) 3 , c ) 5 , d ) 7 , e ) 11", "output": [ "b" ] }, { "id": "task1423-e2ba3b2413194b95a30f7d3e5fe0253a", "input": "Problem: what is the measure of the radius of the circle that circumscribes a triangle whose sides measure 11 , 60 and 61 ? \nOptions: a ) 6.5 , b ) 12.5 , c ) 28 , d ) 30.5 , e ) 40", "output": [ "d" ] }, { "id": "task1423-f0595208197b413abdb89d974c9a684d", "input": "Problem: what is the area of an equilateral triangle whose one side length is 80 ? \nOptions: a ) 800 √ 3 , b ) 1000 √ 3 , c ) 1200 √ 3 , d ) 1400 √ 3 , e ) 1600 √ 3", "output": [ "e" ] }, { "id": "task1423-d8d24ee1165f4dcf9a8709ad50c24c33", "input": "Problem: in measuring the sides of a rectangle , one side is taken 5 % in excess , and the other 4 % in deficit . find the error percent in the area calculated from these measurements . \nOptions: a ) 0.2 % , b ) 0.4 % , c ) 0.6 % , d ) 0.8 % , e ) 1 %", "output": [ "d" ] }, { "id": "task1423-a6649eff3f4049b0acdd1c981fdf9bbd", "input": "Problem: what will be the cost of building a fence around a square plot with area equal to 64 sq ft , if the price per foot of building the fence is rs . 58 ? \nOptions: a ) 3944 , b ) 2882 , c ) 2999 , d ) 1856 , e ) 2121", "output": [ "d" ] }, { "id": "task1423-b3b1d5fc722042cab85faf3ffe388c31", "input": "Problem: an isosceles triangle those sides are 13 cm , 13 cm , 10 cm long inscribed in a circle . find the radius of the circle \nOptions: ['a ) 8 cm', 'b ) 9 cm', 'c ) 10 cm', 'd ) 11 cm', 'e ) 7 cm']", "output": [ "a" ] }, { "id": "task1423-a9929247060446f4825990da91b6a93a", "input": "Problem: square m is inscribed in circle n . if the perimeter of m is 20 , what is the circumference of n ? \nOptions: ['a ) 33 √ 2 π', 'b ) 2 √ 2 π', 'c ) 6 √ 2 π', 'd ) 7 √ 2 π', 'e ) 5 √ 2 π']", "output": [ "e" ] }, { "id": "task1423-1540123eb1b74c008a5f01848c3d2f2a", "input": "Problem: the area of an equilateral triangle is subtracted from its base , and the perimeter is then added to this total , the result is 4 . what is the height of the equilateral triangle if its base is 2 ? \nOptions: ['a ) 2', 'b ) 3', 'c ) 4', 'd ) 5', 'e ) 6']", "output": [ "c" ] }, { "id": "task1423-e0467267c41f4d20b9a3df6ec4850cad", "input": "Problem: three interviewers , x , y , and z are interviewing 40 applicants . only with three interviewers ' admission can an applicant be admitted . if interviewer x admitted 15 applicants , y admitted 17 applicants , and z admitted 20 applicants , at least how many applicants get the admission ? \nOptions: ['a ) 0', 'b ) 2', 'c ) 6', 'd ) 8', 'e ) 12']", "output": [ "a" ] }, { "id": "task1423-02c6379b2f5e4c849782eb0a6921e96b", "input": "Problem: one side of a rectangular field is 15 m and one of its diagonal is 17 m . find the area of the field . \nOptions: ['a ) 100', 'b ) 120', 'c ) 150', 'd ) 180', 'e ) none']", "output": [ "b" ] }, { "id": "task1423-78f370472c6e445f83855b42686f65bf", "input": "Problem: the diagonal of a cube is 8 √ 3 . find its volume and surface area . \nOptions: ['a ) 354', 'b ) 384', 'c ) 324', 'd ) 344', 'e ) 364']", "output": [ "b" ] }, { "id": "task1423-a3abfa42cc24408e8e1cdda561a8f3dc", "input": "Problem: find the area of a parallelogram with base 20 cm and height 40 cm ? \nOptions: a ) 100 cm 2 , b ) 250 cm 2 , c ) 800 cm 2 , d ) 296 cm 2 , e ) 456 cm 2", "output": [ "c" ] }, { "id": "task1423-4628d9d1816f40eaab7f5b5917b16332", "input": "Problem: there is a rectangular prism made of 1 in cubes that has been covered in tin foil . there are exactly 128 cubes that are not touching any tin foil on any of their sides . if the width of the figure created by these 128 cubes is twice the length and twice the height , what is the measure y in inches of the width of the foil covered prism ? \nOptions: a ) 4 , b ) 6 , c ) 8 , d ) 9 , e ) 10", "output": [ "e" ] }, { "id": "task1423-990dea2a3f7e4621b7524088bc45238c", "input": "Problem: a circle in the coordinate plane passes through points ( - 3 , - 2 ) and ( - 1 , - 4 ) . what is the smallest possible area of that circle ? \nOptions: ['a ) 13 π', 'b ) 26 π', 'c ) 262 √ π', 'd ) 52 π', 'e ) 4 π']", "output": [ "e" ] }, { "id": "task1423-fb9e470e3c6048679289ec0e9c5731e5", "input": "Problem: a cube has two of its faces painted half red and half white . the other faces are completely painted white . what is the ratio between the red painted areas and the white painted areas of the cube ? \nOptions: a ) 1 : 5 , b ) 3 : 6 , c ) 1 : 2 , d ) 2 : 9 , e ) 1 : 3", "output": [ "a" ] }, { "id": "task1423-0309fdf457ae4a7cb93dd14f9cfe7109", "input": "Problem: in a rectangular axis system , what is the area of a parallelogram with the coordinates : ( 5,3 ) , ( 8,3 ) , ( 4,5 ) , ( 7,5 ) ? \nOptions: a ) 21 . , b ) 28 . , c ) 35 . , d ) 49 . , e ) 6 .", "output": [ "e" ] }, { "id": "task1423-63df57dd38044034bfe65df6c6c3ecd5", "input": "Problem: two sides of a triangle have lengths x and t and meet at a right angle . if the perimeter of the triangle is 4 x , what is the ratio of x to t ? \nOptions: ['a ) a ) 2 : 3', 'b ) b ) 3 : 4', 'c ) c ) 4 : 3', 'd ) d ) 3 : 2', 'e ) e ) 2 : 1']", "output": [ "b" ] }, { "id": "task1423-fb4f1ff0377548f990bbf2d78268d239", "input": "Problem: the ratio of males to females in a class is 2 : 3 . the career preferences of the students in the class are represented in a circle graph . if the area of the graph allocated to each career preference is proportional to the number of students who have that career preference , how many degrees of the circle should be used to represent a career that is preferred by one - half of the males and one - fourth of the females in the class ? \nOptions: a ) 120 , b ) 126 , c ) 132 , d ) 138 , e ) 144", "output": [ "b" ] }, { "id": "task1423-6a3f6d9d8ed04c16ad8de77b36cf2998", "input": "Problem: the length of a rectangle is two - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 900 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ? \nOptions: a ) 140 sq . units , b ) 120 sq . units , c ) 187 sq . units , d ) 607 sq . units , e ) 815 sq . units", "output": [ "b" ] }, { "id": "task1423-a90f5674ec9044cb8fbe8b99583cec7e", "input": "Problem: if the radius of a circle is increased by 40 % then the area is increased by : \nOptions: a ) 44 % , b ) 120 % , c ) 96 % , d ) 40 % , e ) none of the above", "output": [ "c" ] }, { "id": "task1423-a98f12bd84cd4b699376e3ab3b241005", "input": "Problem: six dots are evenly spaced on the circumference of a circle . how many combinations of three dots can we make from these 6 dots that do not form an equilateral triangle ? \nOptions: ['a ) 18', 'b ) 17', 'c ) 16', 'd ) 15', 'e ) 14']", "output": [ "a" ] }, { "id": "task1423-99582a351d3b40a0a4a797a2f3764668", "input": "Problem: the length of a rectangle is doubled while its width is doubled . what is the % change in area ? \nOptions: a ) 250 % , b ) 300 % , c ) 500 % , d ) 650 % , e ) 700 %", "output": [ "b" ] }, { "id": "task1423-776a2809448746f38b04084231baf802", "input": "Problem: if the perimeter and diagonal of a rectangle are 14 and 5 cms respectively , find its area . \nOptions: ['a ) 12 cm 2', 'b ) 16 cm 2', 'c ) 20 cm 2', 'd ) 24 cm', 'e ) none of these']", "output": [ "a" ] }, { "id": "task1423-2afb0c9c423d47878187a931d32c413b", "input": "Problem: if k and w are the dimensions of a rectangle that has area 21 , and if k and w are integers such that k > w , what is the total number of possible values of k ? \nOptions: a ) two , b ) three , c ) four , d ) five , e ) six", "output": [ "a" ] }, { "id": "task1423-70c3ab1d02bf4523b171c5a4f5bc1d86", "input": "Problem: the diagonals of a rhombus are 14 cm and 20 cm . find its area ? \nOptions: a ) 176 , b ) 190 , c ) 140 , d ) 278 , e ) 292", "output": [ "c" ] }, { "id": "task1423-80ab753594c44bf8a0fabf9c8caa1222", "input": "Problem: the area of a triangle will be when a = 1 m , b = 2 m , c = 5 m , a , b , c being lengths of respective sides ? \nOptions: a ) 3 , b ) 6 , c ) 4 , d ) 9 , e ) 1", "output": [ "c" ] }, { "id": "task1423-85fced2c8bf34cbb814c3a7778db28be", "input": "Problem: the area of sector of a circle whose radius is 12 metro and whose angle at the center is 36 â ° is ? \nOptions: a ) 52.6 , b ) 45.3 , c ) 52.8 , d ) 52.1 , e ) 52.2", "output": [ "b" ] }, { "id": "task1423-e787bfd0ae204f968c686c097487ee79", "input": "Problem: the area of a square is 625 sq cm . find the ratio of the breadth and the length of a rectangle whose length is thrice the side of the square and breadth is 20 cm less than the side of the square . \nOptions: a ) 5 : 12 , b ) 5 : 13 , c ) 2 : 9 , d ) 1 : 15 , e ) 1 : 5", "output": [ "d" ] }, { "id": "task1423-0094d070c1454946bc382bbb92cf4f7b", "input": "Problem: if the sides of a triangle are 65 cm , 60 cm and 25 cm , what is its area ? \nOptions: a ) 120 cm 2 , b ) 750 cm 2 , c ) 216 cm 2 , d ) 197 cm 2 , e ) 275 cm 2", "output": [ "b" ] }, { "id": "task1423-59e5317fa5484b6bb2bdf300f0c9e8a2", "input": "Problem: a square mirror has exactly half the area of the rectangular wall on which it is hung . if each side of the mirror is 34 inches and the width of the wall is 54 inches , what is the length of the wall , in inches ? \nOptions: a ) 22.8 , b ) 33.8 , c ) 42.8 , d ) 63.8 , e ) 56.8", "output": [ "c" ] }, { "id": "task1423-f333772b7ff845de926f70b7bc4a4a3b", "input": "Problem: the length of a rectangular garden is three times its width . if the area of the rectangular garden is 507 square meters , then what is the width of the rectangular garden ? \nOptions: ['a ) 10', 'b ) 11', 'c ) 12', 'd ) 13', 'e ) 14']", "output": [ "d" ] }, { "id": "task1423-28f3ec4bceeb48b59e0a1bc30052e31e", "input": "Problem: a rectangular swimming pool is 20 feet by 18 feet . a deck that has uniform width surrounds the pool . the total area of the pool and deck is 624 square feet . what is the width of the deck ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "b" ] }, { "id": "task1423-ef79e1738cfc4b079ebce578529e2728", "input": "Problem: a certain farmer pays $ 60 per acre per month to rent farmland . how much does the farmer pay per month to rent a rectangular plot of farmland that is 360 feet by 1210 feet ? ( 43,560 square feet = 1 acre ) \nOptions: a ) $ 5,330 , b ) $ 3,360 , c ) $ 1,350 , d ) $ 600 , e ) $ 150", "output": [ "d" ] }, { "id": "task1423-75d553c1d470437c99266d46a59ddefa", "input": "Problem: if the sides of a triangle are 26 cm , 22 cm and 10 cm , what is its area ? \nOptions: a ) 120 , b ) 110 , c ) 130 , d ) 140 , e ) 150", "output": [ "b" ] }, { "id": "task1423-548e576f78a74063b3ec86326cccce9c", "input": "Problem: if a 7 cm cube is cut into 1 cm cubes , then what is the percentage increase in the surface area of the resulting cubes ? \nOptions: ['a ) 140 %', 'b ) 350 %', 'c ) 450 %', 'd ) 600 %', 'e ) 700 %']", "output": [ "d" ] }, { "id": "task1423-9dbf1168936c453481832de9a9cf7aee", "input": "Problem: a rectangular garden is to be twice as long as it is wide . if 240 yards of fencing , including the gate , will completely enclose the garden , what will be the length of the garden , in yards ? \nOptions: a ) 40 , b ) 50 , c ) 60 , d ) 80 , e ) 100", "output": [ "d" ] }, { "id": "task1423-fbfb8e7a102b425c910ab741f8ce1e72", "input": "Problem: the volumes of two cones are in the ratio 1 : 20 and the radii of the cones are in the ratio of 1 : 2 . what is the length of the wire ? \nOptions: a ) 4 : 5 , b ) 4 : 9 , c ) 4 : 2 , d ) 5 : 2 , e ) 2 : 8", "output": [ "a" ] }, { "id": "task1423-a9db43c7fb1e4a8f99aab6e13169a8e7", "input": "Problem: the circumferences of two circles are 660 meters and 704 meters . find the difference between the areas of the larger and the smaller circles ? \nOptions: a ) 2996 sq m , b ) 4774 sq m , c ) 4312 sq m , d ) 2768 sq m , e ) 2786 sq m", "output": [ "b" ] }, { "id": "task1423-d75e04a407bd495a933e9e86c3fad49f", "input": "Problem: the volumes of two cubes are in the ratio 27 : 125 , what shall be the ratio of their surface areas ? \nOptions: ['a ) 6 : 25', 'b ) 3 : 5', 'c ) 9 : 25', 'd ) 16 : 25', 'e ) 19 : 25']", "output": [ "c" ] }, { "id": "task1423-51f85ac619b1456aa40e0d3c2719b80a", "input": "Problem: the side of a cube is 12 m , find the lateral surface area ? \nOptions: ['a ) 816', 'b ) 516', 'c ) 716', 'd ) 216', 'e ) 916']", "output": [ "b" ] }, { "id": "task1423-a7a5b87725234904a138b6edcbaba7ff", "input": "Problem: the cost of painting the whole surface area of a cube at the rate of 13 paise per sq . cm is rs . 343.98 . then the volume of the cube is \nOptions: ['a ) 8500 cm 3', 'b ) 9000 cm 3', 'c ) 9250 cm 3', 'd ) 9261 cm 3', 'e ) none']", "output": [ "d" ] }, { "id": "task1423-8de52736f6664b8ba621ad06d51362be", "input": "Problem: the perimeter of a triangle is 36 cm and the in radius of the triangle is 2.5 cm . what is the area of the triangle ? \nOptions: a ) 76 , b ) 88 , c ) 66 , d ) 55 , e ) 45", "output": [ "e" ] }, { "id": "task1423-1b956ff3cea24984b2b9dfc8ec051928", "input": "Problem: a perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer . how many positive integers n are there such that n is less than 1,000 and at the same time n is a perfect square and a perfect cube ? \nOptions: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", "output": [ "b" ] }, { "id": "task1423-e945eb199fdb4f038fd84b803a05793c", "input": "Problem: the perimeter of one face a of cube is 20 cm . its volume must be \nOptions: ['a ) 125 cm 3', 'b ) 400 cm 3', 'c ) 1000 cm 3', 'd ) 8000 cm 3', 'e ) none']", "output": [ "a" ] }, { "id": "task1423-51985bd334d3421d9b8a6b037841c370", "input": "Problem: if the radius of a circle decreased by 50 % its area is decreased by : \nOptions: ['a ) 75', 'b ) 79', 'c ) 72', 'd ) 70', 'e ) 80']", "output": [ "a" ] }, { "id": "task1423-633f695998ba485583335a9bf3944284", "input": "Problem: 15 business executives and 3 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ? \nOptions: a ) 150 , b ) 131 , c ) 115 , d ) 90 , e ) 45", "output": [ "a" ] }, { "id": "task1423-99ae751be529430b90b17063e843b739", "input": "Problem: the volume of a rectangular swimming pool is 840 cubic meters and water is flowing into the swimming pool . if the surface level of the water is rising at the rate of 0.5 meters per minute , what is the rate s , in cubic meters per minutes , at which the water is flowing into the swimming pool ? \nOptions: a ) 0.125 , b ) 0.25 , c ) 0.5 , d ) 0.75 , e ) not enough information to determine the rate", "output": [ "e" ] }, { "id": "task1423-3621788efe0647a6b59de127ccbaeb90", "input": "Problem: the length of a rectangle is increased to 2 times its original size and its width is increased to 3 times its original size . if the area of the new rectangle is equal to 1800 square meters , what is the area of the original rectangle ? \nOptions: ['a ) 300 square meters', 'b ) 400 square meters', 'c ) 500 square meters', 'd ) 600 square meters', 'e ) 700 square meters']", "output": [ "a" ] }, { "id": "task1423-81db3b262f4242a694c2a30378a7f933", "input": "Problem: the length of the side of a square is represented by x + 2 . the length of the side of an equilateral triangle is 2 x . if the square and the equilateral triangle have equal perimeter , then the value of x is ? \nOptions: a ) 5 , b ) 7 , c ) 4 , d ) 8 , e ) 6", "output": [ "c" ] }, { "id": "task1423-ce0982f53d2b47a38ee6f14b3026dc1c", "input": "Problem: if k and w are the dimensions of a rectangle that has area 60 , and if k and w are integers such that k > w , what is the total number of possible values of k ? \nOptions: a ) two , b ) three , c ) four , d ) five , e ) six", "output": [ "e" ] }, { "id": "task1423-15de269b259f48de96db455b58139633", "input": "Problem: the length of each side of square a is increased by 100 percent to make square b . if the length of the side of square b is increased by 40 percent to make square c , by what percent is the area of square c greater than the sum of the areas of squares a and b ? \nOptions: ['a ) 75.00 %', 'b ) 56.80 %', 'c ) 110 %', 'd ) 150 %', 'e ) 180 %']", "output": [ "b" ] }, { "id": "task1423-c0cdd4c5c4c54a0bb6d4651a94569388", "input": "Problem: find the area of a parallelogram with base 15 cm and height 40 cm ? \nOptions: a ) 200 cm 2 , b ) 100 cm 2 , c ) 42 cm 2 , d ) 600 cm 2 , e ) 230 cm 2", "output": [ "d" ] }, { "id": "task1423-16d8ec4918534462ad6c60845c08c4d3", "input": "Problem: the breadth of a rectangular field is 60 % of its length . if the perimeter of the field is 800 m , find out the area of the field . \nOptions: a ) 37500 , b ) 38000 , c ) 38500 , d ) 39000 , e ) 39500", "output": [ "a" ] }, { "id": "task1423-9f47bf83501448eda41f1632705fb1e6", "input": "Problem: the ratio of the radius of two circles is 4 : 3 , and then the ratio of their areas is ? \nOptions: a ) 1 : 8 , b ) 1 : 6 , c ) 1 : 9 , d ) 16 : 9 , e ) 1 : 2", "output": [ "d" ] }, { "id": "task1423-199a33fba8e54f86868cc421f4efd2ca", "input": "Problem: the perimeter of an equilateral triangle is 60 . if one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 45 , then how long is the base of isosceles triangle ? \nOptions: a ) 5 units , b ) 10 units , c ) 15 units , d ) 20 units , e ) 25 units", "output": [ "a" ] }, { "id": "task1423-7b33ca893f21476fa5292ab2aee9e07d", "input": "Problem: a circular garden is surrounded by a fence of negligible width along the boundary . if the length of the fence is 1 / 3 of th area of the garden . what is the radius of the circular garden ? \nOptions: a ) 6 , b ) 2 , c ) 4 , d ) 8 , e ) 16", "output": [ "a" ] }, { "id": "task1423-c5689c001d29435b929c959f6ec1a0e1", "input": "Problem: a rectangular grass field is 70 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ? \nOptions: a ) s . 1350 , b ) s . 1300 , c ) s . 1328 , d ) s . 1397 , e ) s . 1927", "output": [ "b" ] }, { "id": "task1423-a24d88f3cfae4b728f303d1ddad1c66f", "input": "Problem: the cost of the paint is rs . 36.50 per kg . if 1 kg of paint covers 16 square feet , how much will it cost to paint outside of a cube having 8 feet each side . \nOptions: a ) rs . 850 , b ) rs . 860 , c ) rs . 876 , d ) rs . 886 , e ) none of these", "output": [ "c" ] }, { "id": "task1423-5c490760bcd645f889adab601b32367b", "input": "Problem: if the radius of the sphere is 14 m . then its total surface area is \nOptions: ['a ) 2644', 'b ) 2446', 'c ) 2464', 'd ) 6442', 'e ) 6424']", "output": [ "c" ] }, { "id": "task1423-c902df77ef8f4bb095ca2de1bbeac56c", "input": "Problem: the perimeter of one face of a cube is 48 cm . its volume will be : \nOptions: a ) 125 cm 3 , b ) 400 cm 3 , c ) 250 cm 3 , d ) 625 cm 3 , e ) none of these", "output": [ "e" ] }, { "id": "task1423-411d9eec83984a4f8deea17a7ad675c8", "input": "Problem: a wooden cube whose edge length is 7 inches is composed of smaller cubes with edge lengths of one inch . the outside surface of the large cube is painted red and then it is split up into its smaller cubes . if one cube is randomly selected from the small cubes , what is the probability that the cube will have at least one red face ? \nOptions: a ) 59.8 % , b ) 63.6 % , c ) 67.2 % , d ) 70.5 % , e ) 73.6 %", "output": [ "b" ] }, { "id": "task1423-3c742a229bae490189c471d07a7335d7", "input": "Problem: in a company of 180 employees , 110 are females . a total of 90 employees have advanced degrees and the rest have a college degree only . if 35 employees are males with a college degree only , how many employees are females with advanced degrees ? \nOptions: a ) 50 , b ) 55 , c ) 60 , d ) 65 , e ) 70", "output": [ "b" ] }, { "id": "task1423-f9cccaefff9a4943bde66859e4bc4ff4", "input": "Problem: if g is the smallest positive integer such that 3150 multiplied by g is the square of an integer , then g must be \nOptions: a ) 2 , b ) 5 , c ) 6 , d ) 7 , e ) 14", "output": [ "e" ] }, { "id": "task1423-95b6976c46034ebab6f5a3e54a892724", "input": "Problem: if the sides of a square are multiplied by 10 , the area of the original square is how many times as large as the area of the resultant square ? \nOptions: ['a ) 1 %', 'b ) 10 %', 'c ) 100 %', 'd ) 500 %', 'e ) 1000 %']", "output": [ "a" ] }, { "id": "task1423-382d70326c6542028920b9c4c520d54b", "input": "Problem: if the radius of a circle is increased by 20 % then the area is increased by : \nOptions: a ) 44 % , b ) 120 % , c ) 144 % , d ) 40 % , e ) none of the above", "output": [ "a" ] }, { "id": "task1423-ee166773dea94abdad6d0aba4ba7d6c6", "input": "Problem: a rectangular lawn of length 200 m by 120 m has two roads running along its center , one along the length and the other along the width . if the width of the roads is 5 m what is the area y covered by the two roads ? \nOptions: a ) 400 , b ) 1550 , c ) 1575 , d ) 1600 , e ) 1625", "output": [ "c" ] }, { "id": "task1423-f4eaed54fc9d4bef8a9bd3e27b21dcde", "input": "Problem: the volume of a cube is 343 cc . find its surface . \nOptions: a ) 864 , b ) 556 , c ) 294 , d ) 287 , e ) 267", "output": [ "c" ] }, { "id": "task1423-4fc074d04c27475999375bcf047c98a7", "input": "Problem: the area of a circle of radius 5 is numerically what percent of its circumference ? \nOptions: ['a ) 200', 'b ) 225', 'c ) 240', 'd ) 250', 'e ) none']", "output": [ "d" ] }, { "id": "task1423-b043561a08f84eee87daad5d760648da", "input": "Problem: find the circumference and area of radius 7 cm . \nOptions: a ) 151 cm ² , b ) 152 cm ² , c ) 154 cm ² , d ) 155 cm ² , e ) 157 cm ²", "output": [ "c" ] }, { "id": "task1423-2936e1fd8e144da4b96ba698c1da6ee6", "input": "Problem: the area of a rectangle is 15 square centimeters and the perimeter is 16 square centimeters . what are the dimensions of the rectangle ? \nOptions: ['a ) 3 and 5', 'b ) 3 and 6', 'c ) 3 and 7', 'd ) 3 and 8', 'e ) 3 and 9']", "output": [ "a" ] }, { "id": "task1423-69343e0231cf467d8ee3eee9d1352641", "input": "Problem: what is the perimeter of a rectangular field whose diagonal is 10 m and length is 3 m ? \nOptions: ['a ) 12 m', 'b ) 5 m', 'c ) 10 m', 'd ) 8 m', 'e ) 6 m']", "output": [ "d" ] }, { "id": "task1423-ef7f0f1d2e0642cc937fc8cf07878f0e", "input": "Problem: an order was placed for a carpet whose length and width were in the ratio of 3 : 2 . subsequently , the dimensions of the carpet were altered such that its length and width were in the ratio 4 : 3 but were was no change in its perimeter . what is the ratio of the areas of the carpets ? \nOptions: a ) 9 : 10 , b ) 19 : 20 , c ) 29 : 30 , d ) 39 : 40 , e ) 49 : 50", "output": [ "e" ] }, { "id": "task1423-54778556626d45f58572d402a83474e4", "input": "Problem: what is the percentage increase in the area of a rectangle , if each of its sides is increased by 20 % ? \nOptions: a ) 42 % , b ) 43 % , c ) 45 % , d ) 44 % , e ) 46 %", "output": [ "d" ] }, { "id": "task1423-165ee0e9b6664f849dba8396881cc1cd", "input": "Problem: a circular logo is enlarged to fit the lid of a jar . the new diameter is 50 per cent larger than the original . by what percentage has the area of the logo increased ? \nOptions: a ) 50 , b ) 80 , c ) 100 , d ) 125 , e ) 250", "output": [ "d" ] }, { "id": "task1423-aaa470085e0a4bfd93e7aaf6f6c54997", "input": "Problem: a rectangular farm has to be fenced one long side , one short side and the diagonal . if the cost of fencing is rs . 14 per meter . the area of farm is 1200 m 2 and the short side is 30 m long . how much would the job cost ? \nOptions: a ) 1276 , b ) 1680 , c ) 2832 , d ) 1299 , e ) 1236", "output": [ "b" ] }, { "id": "task1423-9a95d9a3aa3c4b55912bc61bde2d4a09", "input": "Problem: a circular well with a diameter of 2 metres , is dug to a depth of 4 metres . what is the volume of the earth dug out ? \nOptions: a ) 26 m ³ , b ) 28 m ³ , c ) 44 m ³ , d ) 46 m ³ , e ) none", "output": [ "c" ] }, { "id": "task1423-6fe100ba496c4a43b0661828e5094df5", "input": "Problem: rectangular tile each of size 25 cm by 65 cm must be laid horizontally on a rectangular floor of size 150 cm by 390 cm , such that the tiles do not overlap and they are placed with edges jutting against each other on all edges . a tile can be placed in any orientation so long as its edges are parallel to the edges of floor . no tile should overshoot any edge of the floor . the maximum number of tiles that can be accommodated on the floor is : \nOptions: a ) 50 , b ) 40 , c ) 25 , d ) 36 , e ) 45", "output": [ "d" ] }, { "id": "task1423-c8e9baead0f14b118f6a4664326d9f4d", "input": "Problem: a rectangular garden is to be twice as long as it is wide . if 900 yards of fencing , including the gate , will completely enclose the garden , what will be the length of the garden , in yards ? \nOptions: a ) 40 , b ) 50 , c ) 60 , d ) 200 , e ) 300", "output": [ "e" ] }, { "id": "task1423-2fe769a93bf04024a8813dd793d7616d", "input": "Problem: a cylindrical can has a radius of 6 centimeters and a height of 12 centimeters . what is the area , in square centimeters , of a rectangular label that completely covers the curved surface of the can without over - lapping ? \nOptions: a ) 16 pi , b ) 64 pi , c ) 96 pi , d ) 144 pi , e ) 576 pi", "output": [ "d" ] }, { "id": "task1423-fc7425574f464cfab224f86367b768fd", "input": "Problem: in a new housing development , trees are to be planted along the sidewalk of a certain street . each tree takes up one square foot of sidewalk space , and there are to be 14 feet between each tree . how many trees can be planted if the road is 151 feet long ? \nOptions: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12", "output": [ "d" ] }, { "id": "task1423-9511677409af411ab67f05b5d3ac3f61", "input": "Problem: the ratio of the volumes of two cubes is 2744 : 1331 . what is the ratio of their total surface areas ? \nOptions: a ) 196 : 121 , b ) 81 : 127 , c ) 181 : 196 , d ) 81 : 161 , e ) 81 : 182", "output": [ "a" ] }, { "id": "task1423-b87876616f8c4ccbb1759dc872821d39", "input": "Problem: how many internal diagonals does a heptagon ( seven sided polygon ) have ? \nOptions: a ) 7 , b ) 9 , c ) 14 , d ) 20 , e ) 35", "output": [ "c" ] }, { "id": "task1423-d88a0a3b357e4c278b60b382c318d9ec", "input": "Problem: the volume of a cube is 1728 cc . find its surface . \nOptions: a ) 864 , b ) 556 , c ) 255 , d ) 287 , e ) 267", "output": [ "a" ] }, { "id": "task1423-d44898f4a82c4ac697af34af127afe25", "input": "Problem: the length of a rectangle is one - sixth of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 1296 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ? \nOptions: ['a ) 560 sq . units', 'b ) 360 sq . units', 'c ) 260 sq . units', 'd ) 460 sq . units', 'e ) 160 sq . units']", "output": [ "b" ] }, { "id": "task1423-de83ecac42344bd2ace2057dfea5abbb", "input": "Problem: the perimeter of one square is 48 cm and that of another is 28 cm . find the perimeter and the diagonal of a square which is equal in area to these two combined ? \nOptions: a ) 13 √ 4 , b ) 13 √ 2 , c ) 23 √ 2 , d ) 13.9 √ 2 , e ) 13 √ 9", "output": [ "d" ] }, { "id": "task1423-e4be51b3b85b4154802211a1e06b647a", "input": "Problem: a sixth grade teacher asked her students to draw rectangles with positive integer length and a perimeter of 42 . the difference between the largest and smallest possible ares of the rectangles that the students could have come up with is ? \nOptions: ['a ) 50 sq units', 'b ) 60 sq units', 'c ) 70 sq units', 'd ) 80 sq units', 'e ) 90 sq units']", "output": [ "e" ] }, { "id": "task1423-b41da88e36b24372865fc7660c2aa452", "input": "Problem: george ' s car calls for 8 ounces of oil for each cylinder used . his car ' s engine has 6 cylinders . if 16 ounces of oil has already been put into the engine used , then how many additional ounces of oil are needed ? \nOptions: ['a ) 16', 'b ) 48', 'c ) 64', 'd ) 32', 'e ) 8']", "output": [ "d" ] }, { "id": "task1423-5a5ea1cf7d2f4c4fa5d970599d0b3a4d", "input": "Problem: the area of a parallelogram is 98 sq m and its altitude is twice the corresponding base . then the length of the base is ? \nOptions: a ) 8 , b ) 9 , c ) 7 , d ) 6 , e ) 5", "output": [ "c" ] }, { "id": "task1423-029621877bb7412f93f1ff00890cbc63", "input": "Problem: the diameter of a cylindrical tin is 4 cm and height is 5 cm . find the volume of the cylinder ? \nOptions: a ) 33 , b ) 45 , c ) 20 , d ) 77 , e ) 21", "output": [ "c" ] }, { "id": "task1423-dfcfc0fa493e4fd095792e693b447d0b", "input": "Problem: three circles of radius 3.5 cm are placed in such a way that each circle touches the other two . the area of the portion enclosed by the circles is \nOptions: ['a ) 1.967', 'b ) 1.963', 'c ) 2.388', 'd ) 3.388', 'e ) 2.382']", "output": [ "a" ] }, { "id": "task1423-a9e91c3799834d539ecca70be1093d39", "input": "Problem: if the radius of a circle is decreased 50 % , what happens to the area ? \nOptions: a ) 10 % decrease , b ) 20 % decrease , c ) 75 % decrease , d ) 40 % decrease , e ) 50 % decrease", "output": [ "c" ] }, { "id": "task1423-88ccc8294b9e419289d6c57e91183dae", "input": "Problem: the parameter of a square is equal to the perimeter of a rectangle of length 20 cm and breadth 14 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) \nOptions: a ) 77.14 cm , b ) 47.14 cm , c ) 26.71 cm , d ) 94.94 cm , e ) 23.57 cm", "output": [ "c" ] }, { "id": "task1423-67e1b6e8f3f248a596ef858c10f88bbc", "input": "Problem: find the area of a parallelogram with base 34 cm and height 18 cm ? \nOptions: a ) 198 cm 2 , b ) 384 cm 2 , c ) 510 cm 2 , d ) 612 cm 2 , e ) 680 cm 2", "output": [ "d" ] }, { "id": "task1423-25748de88a3544cea8b6a43ba709c52c", "input": "Problem: a rectangular tank needs to be coated with insulation . the tank has dimensions of 3 feet , 7 feet , and 2 feet . each square foot of insulation costs $ 20 . how much will it cost to cover the surface of the tank with insulation ? \nOptions: a ) $ 880 , b ) $ 1050 , c ) $ 1280 , d ) $ 1460 , e ) $ 1640", "output": [ "e" ] }, { "id": "task1423-5536dce67313400fa963143e0ece6e3a", "input": "Problem: the size of a flat - screen television is given as the length of the screen ’ s diagonal . how many square inches greater is the screen of a square 34 - inch flat - screen television than a square 27 - inch flat - screen television ? \nOptions: a ) 106.75 , b ) 213.5 , c ) 427 , d ) 729 , e ) 1,156", "output": [ "c" ] }, { "id": "task1423-98e3bc7328874afaaaa94dd9a0e8adb3", "input": "Problem: danny is sitting on a rectangular box . the area of the front face of the box is half the area of the top face , and the area of the top face is 1.5 times the area of the side face . if the volume of the box is 3000 , what is the area of the side face of the box ? \nOptions: a ) 300 , b ) 150 , c ) 180 , d ) 109 , e ) 200", "output": [ "e" ] }, { "id": "task1423-d7bf065e68504248b73722ac09add60d", "input": "Problem: the volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2 . what is the length of the wire ? \nOptions: ['a ) 2 : 5', 'b ) 2 : 9', 'c ) 2 : 2', 'd ) 2 : 9', 'e ) 2 : 1']", "output": [ "a" ] }, { "id": "task1423-03f2f86b923040d3a224dc135ea2b50c", "input": "Problem: find the area of a rhombus having each side equal to 13 cm and one of whose diagonal is 24 cm . \nOptions: ['a ) 150 sq . cm', 'b ) 120 sq . cm', 'c ) 130 sq . cm', 'd ) 125 sq . cm', 'e ) 110 sq . cm']", "output": [ "b" ] }, { "id": "task1423-9475e5ada66a43d093534fd6f09c8ab5", "input": "Problem: a hall is 15 meters long and 15 meters wide . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , what is the volume of the hall ( in cubic meters ) ? \nOptions: a ) 975.5 , b ) 1250.5 , c ) 1465.5 , d ) 1687.5 , e ) 1824.5", "output": [ "d" ] }, { "id": "task1423-23ed722d884d4acb9a8c64fe8eae509b", "input": "Problem: a cube has five of its faces painted half red and half white . the other face is completely painted white . what is the ratio between the red painted areas and the white painted areas of the cube ? \nOptions: ['a ) 6 : 11', 'b ) 2 : 5', 'c ) 3 : 4', 'd ) 5 : 7', 'e ) 2 : 3']", "output": [ "d" ] }, { "id": "task1423-71b18fe03da34c449196bab6f74c4bbd", "input": "Problem: the area of sector of a circle whose radius is 18 metro and whose angle at the center is 42 â ° is ? \nOptions: a ) 52.6 , b ) 52.9 , c ) 52.8 , d ) 118.8 , e ) 52.2", "output": [ "d" ] }, { "id": "task1423-8826e1256b394e2f92b94bb75d572f24", "input": "Problem: there is a square with sides of 12 . what is the circumference of the biggest circle that can be cut out of this square ? \nOptions: ['a ) 75.4', 'b ) 31.42', 'c ) 36', 'd ) 18.85', 'e ) 37.7']", "output": [ "e" ] }, { "id": "task1423-1f077322e1fe49d7a5ffbd1d04e80cfa", "input": "Problem: the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 8 cm each . the radius of the sphere is \nOptions: ['a ) 3 cm', 'b ) 4 cm', 'c ) 6 cm', 'd ) 8 cm', 'e ) none']", "output": [ "b" ] }, { "id": "task1423-0065b4083be14ecdabef82c3edfba233", "input": "Problem: what is the volume of an tetrahedron with edge length of 1 ? \nOptions: ['a ) 3.11545466', 'b ) 0.76678113', 'c ) 0.11785113', 'd ) 2.11785113', 'e ) 0.11786667']", "output": [ "c" ] }, { "id": "task1423-3c8d3813c92f4b999006fb2ba711d185", "input": "Problem: what is the area of square field whose side of length 15 m ? \nOptions: ['a ) 225 sq m', 'b ) 186 sq m', 'c ) 586 sq m', 'd ) 287 sq m', 'e ) 296 sq m']", "output": [ "a" ] }, { "id": "task1423-3753cdd7f36341a5860ead2b44eb646d", "input": "Problem: the supplementary of an angle is thrice its complimentary . find the angle . \nOptions: a ) 60 , b ) 45 , c ) 90 , d ) 180 , e ) 120", "output": [ "b" ] }, { "id": "task1423-2422f65ab1ee4024829c434ded4a83b0", "input": "Problem: a box measuring 72 inches long by 48 inches wide by 24 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ? \nOptions: a ) 17 , b ) 18 , c ) 54 , d ) 108 , e ) 162", "output": [ "e" ] }, { "id": "task1423-9759be525bba4255ace490a79914ee2b", "input": "Problem: two cubes each with side b are joined to form a cuboids . what is the surface area of this cuboids ? \nOptions: ['a ) 12 b ^ 2', 'b ) 10 b ^ 2', 'c ) 6 b ^ 2', 'd ) 4 b ^ 2', 'e ) 2 b ^ 2']", "output": [ "b" ] }, { "id": "task1423-415f46035a0c457da34404efa29e786f", "input": "Problem: the area of rectangular field of length 90 meters and breadth 80 meters is equal to the area of a square plot . what will be the length of the diagonal of the square plot ? \nOptions: ['a ) 100 m', 'b ) 120 m', 'c ) 95 m', 'd ) 80 m', 'e ) 150 m']", "output": [ "b" ] }, { "id": "task1423-a7db400a4f7b471aac7f8aa01b31caba", "input": "Problem: a 10 - meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ? \nOptions: a ) 2 / 3 , b ) 3 / 4 , c ) 1 / 5 , d ) 2 / 5 , e ) 3 / 5", "output": [ "d" ] }, { "id": "task1423-0696e796a68a4ee2bca8cdf1e5f04d18", "input": "Problem: what will be the percentage increase in the area of the cube ' s surface if each of the cube ' s edges grows by 10 % ? \nOptions: a ) 25 % , b ) 28 % , c ) 21 % , d ) 30 % , e ) 32 %", "output": [ "c" ] }, { "id": "task1423-6956fff712b74fddadaa62275d80705a", "input": "Problem: the sum of two numbers is 16 and the sum of their squares is 113 . find the numbers . \nOptions: a ) 1 and 2 , b ) 4 and 5 , c ) 7 and 8 , d ) 2 and 3 , e ) 6 and 7", "output": [ "c" ] }, { "id": "task1423-7f3563c431c04d92bd4eb1372a7692ee", "input": "Problem: what will be the cost of building a fence around a square plot with area equal to 25 sq ft , if the price per foot of building the fence is rs . 58 ? \nOptions: a ) 1160 , b ) 1251 , c ) 1102 , d ) 1352 , e ) 1450", "output": [ "a" ] }, { "id": "task1423-25677aec50004e7ca00a16a0065b4cb0", "input": "Problem: in measuring the sides of a rectangle , one side is taken 9 % in excess , and the other 8 % in deficit . find the error percent in the area calculated from these measurements . \nOptions: a ) 0.11 % , b ) 0.7 % , c ) 0.4 % , d ) 0.6 % , e ) 0.28 %", "output": [ "e" ] }, { "id": "task1423-43e9facb62be41b299da6837d8f26bc2", "input": "Problem: the height of cylinder is 14 cm and its diameter is 10 cm . the volume of the cylinder is : \nOptions: ['a ) 4400', 'b ) 2200', 'c ) 5500', 'd ) 1100', 'e ) 3300']", "output": [ "d" ] }, { "id": "task1423-e755d93e1d784ab3b8bae8ddfbdb529f", "input": "Problem: if the height of a cone is increased by 190 % then its volume is increased by ? \nOptions: a ) 100 , b ) 777 , c ) 998 , d ) 190 , e ) 2879", "output": [ "d" ] }, { "id": "task1423-9b503f4a6a184dd4a3c0a6ba735eff36", "input": "Problem: the radius of a cylindrical vessel is 7 cm and height is 5 cm . find the whole surface of the cylinder ? \nOptions: a ) 281 , b ) 528 , c ) 440 , d ) 767 , e ) 1981", "output": [ "b" ] }, { "id": "task1423-7ef3c57fb222412aaa3b05259c7207fc", "input": "Problem: the area of square abcd above is 22 . the shaded region is the intersection of the square and a circular region centered at c . what is the area of the shaded region ? \nOptions: ['a ) 18 − 9 / 4 ∗ π', 'b ) 22 − 11 / 2 ∗ π', 'c ) 9 + 9 / 4 ∗ π', 'd ) 9 + 9 / 2 ∗ π', 'e ) 9 / 2 − 9 / 4 ∗ π']", "output": [ "b" ] }, { "id": "task1423-b4f0a1034e87403bac8c733d0fed8d74", "input": "Problem: two circles are there one with arc area 60 digree equal to 45 digree of another circle find the area of circle 1 : circle 2 ratio \nOptions: ['a ) 3 : 4', 'b ) 1 : 4', 'c ) 1 : 2', 'd ) 2 : 3', 'e ) 1 : 3']", "output": [ "a" ] }, { "id": "task1423-eb22c9f1ccc746ca82967d73d0cba6da", "input": "Problem: the area of circle o is added to its diameter . if the circumference of circle o is then subtracted from this total , the result is 4 . what is the area of circle o ? \nOptions: ['a ) 2 / π', 'b ) 2', 'c ) 8', 'd ) 4', 'e ) 4 π']", "output": [ "e" ] }, { "id": "task1423-d6b05f71239f49acb0d5c4db94f1bb5f", "input": "Problem: if a square mirror has a 20 - inch diagonal , what is the approximate perimeter r of the mirror , in inches ? \nOptions: a ) 40 , b ) 60 , c ) 80 , d ) 100 , e ) 120", "output": [ "b" ] }, { "id": "task1423-aa58aeb269644362a14b5194cf17ea62", "input": "Problem: the length of a rectangle is increased by 25 % and its breadth is decreased by 20 % . what is the effect on its area ? \nOptions: ['a ) 10000', 'b ) 10008', 'c ) 10005', 'd ) 10004', 'e ) 10001']", "output": [ "a" ] }, { "id": "task1423-8e3d01acb48647aab0ad04be692d5891", "input": "Problem: the water level in a rectangular swimming pool measuring 60 feet by 10 feet is to be lowered by 6 inches . how many gallons of water must be removed ? ( 1 cu ft = 7.5 gallons ) \nOptions: a ) 100 , b ) 2250 , c ) 750 , d ) 1200 , e ) 5625", "output": [ "b" ] }, { "id": "task1423-a1130bbf229a43e9ad7469860ebecd23", "input": "Problem: the area of a square field is a square feet and the perimeter is p feet . if 6 a = 6 ( 2 p + 9 ) , what is the perimeter of the field , in feet ? ( here a = a ^ 2 ) \nOptions: ['a ) 28', 'b ) 36', 'c ) 40', 'd ) 56', 'e ) 84']", "output": [ "b" ] }, { "id": "task1423-67897c70a64e42ffb9da8a8abb7c926d", "input": "Problem: the weight of a hollow sphere is directly dependent on its surface area . the surface area of a sphere is 4 π · r ^ 2 , where r is the radius of the sphere . if a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams , a hollow sphere of radius 0.3 cm made of the same metal would weigh how many grams e ? \nOptions: a ) e = 16 , b ) e = 32 , c ) e = 64 , d ) 128 , e ) 512", "output": [ "b" ] }, { "id": "task1423-d136031f1b9b4916bb778a31e85a428b", "input": "Problem: a box measuring 27 inches long by 15 inches wide by 6 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ? \nOptions: ['a ) 90', 'b ) 180', 'c ) 210', 'd ) 240', 'e ) 864']", "output": [ "a" ] }, { "id": "task1423-3b05161ff7b649feaf95b250065d13de", "input": "Problem: the size of a television screen is given as the length of the screen ' s diagonal . if the screens were flat , then the area of a square 20 - inch screen would be how many square inches greater than the area of a square 18 - inch screen ? \nOptions: a ) 2 , b ) 4 , c ) 16 , d ) 38 , e ) 40", "output": [ "d" ] }, { "id": "task1423-bb1c477974bd4946abb5aa8550e40efc", "input": "Problem: what is the perimeter of a square field whose diagonal is 8 â ˆ š 2 ? \nOptions: a ) 64 m , b ) 32 m , c ) 30 m , d ) 16 m , e ) 18 m", "output": [ "b" ] }, { "id": "task1423-ab87ae544b4f45608d4e5157a249737b", "input": "Problem: if the volume of two cubes are in the ratio 27 : 1 , the ratio of their edges is : \nOptions: a ) 3 : 1 , b ) 3 : 2 , c ) 3 : 5 , d ) 3 : 7 , e ) none of these", "output": [ "a" ] }, { "id": "task1423-cc4303563b294573ba4d919a01e61994", "input": "Problem: if the height of a right cone c is 3 and the diameter of the base of c is 8 , what is the distance from the apex of c to any point on the circumference of the base of c ? \nOptions: ['a ) 3 √ 2', 'b ) 5', 'c ) 5 √ 2', 'd ) √ ( 67 )', 'e ) √ ( 73 )']", "output": [ "b" ] }, { "id": "task1423-ab9a4681753a4721ac620056701c0cd3", "input": "Problem: one side of a rectangular field is 16 m and one of its diagonal is 18 m . find the area of the field . \nOptions: a ) 100 , b ) 120 , c ) 150 , d ) 180 , e ) none", "output": [ "e" ] }, { "id": "task1423-341439dc22074f6b81f0d07e1658e88d", "input": "Problem: the length of a rectangle i s two - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 1225 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ? \nOptions: ['a ) 140 sq . units', 'b ) 149', 'c ) 148', 'd ) 17', 'e ) 143']", "output": [ "a" ] }, { "id": "task1423-bab1f92a02424e6cb249b44248674b83", "input": "Problem: how many boxes do you need if you have to pack 240 pairs ornamental bangles into boxes that each hold 2 dozens of bangles ? \nOptions: a ) 40 , b ) 35 , c ) 20 , d ) 25 , e ) 30", "output": [ "c" ] }, { "id": "task1423-3060102ada4541e49d1d3b9996882e48", "input": "Problem: find the perimeter and area of the rectangle of length 19 cm and breadth 13 cm . \nOptions: a ) 71 cm 2 , b ) 121 cm 2 , c ) 141 cm 2 , d ) 171 cm 2 , e ) 247 cm 2", "output": [ "e" ] }, { "id": "task1423-d33fdaba41a64fe9b8cafb9678d33342", "input": "Problem: how much space , in cubic units , is left vacant when maximum number of 3 x 3 x 3 cubes are fitted in a rectangular box measuring 6 x 9 x 11 ? \nOptions: a ) 112 , b ) 111 , c ) 110 , d ) 109 , e ) 108", "output": [ "e" ] }, { "id": "task1423-573db3390ddc41d0890a675aab57cea3", "input": "Problem: a cube is divided into 125 identical cubelets . each cut is made parallel to some surface of the cube . but before doing that , the cube is painted with green on one set of opposite faces , red on another set of opposite faces , and blue on the third set of opposite faces . how many cubelets are painted with exactly one colour ? \nOptions: a ) 36 , b ) 42 , c ) 48 , d ) 54 , e ) 60", "output": [ "d" ] }, { "id": "task1423-9b812d64c6654336a8cc5e7e0c27e8a4", "input": "Problem: in a parallelogram , the length of one diagonal and the perpendicular dropped on that diagonal are 30 and 20 metres respectively . find its area \nOptions: ['a ) 600 m 2', 'b ) 540 m 2', 'c ) 680 m 2', 'd ) 574 m 2', 'e ) none of these']", "output": [ "a" ] }, { "id": "task1423-db47873443b54eb19571e38381386e27", "input": "Problem: a carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet . if the carpenter made instead a sandbox which was twice as long , twice as wide and twice as high as the original , what would the capacity be of the new larger sandbox ? \nOptions: ['a ) 20', 'b ) 40', 'c ) 60', 'd ) 80', 'e ) 100']", "output": [ "d" ] }, { "id": "task1423-4d843a004b2d467f919ab7f6eb8f67cb", "input": "Problem: a rectangular photograph is surrounded by a border that is 1 inch wide on each side . the total area of the photograph and the border is m square inches . if the border had been 5 inches wide on each side , the total area would have been ( m + 180 ) square inches . what is the perimeter of the photograph , in inches ? \nOptions: a ) 21 , b ) 36 , c ) 38 , d ) 40 , e ) 42", "output": [ "a" ] }, { "id": "task1423-1d7d7d60536f4a129c78348d40d480ff", "input": "Problem: if the difference between the length and breadth of a rectangle is 23 m and its perimeter is 166 m , what is its area ? \nOptions: a ) 1590 , b ) 2535 , c ) 2530 , d ) 2515 , e ) 2520", "output": [ "a" ] }, { "id": "task1423-397dd721936c4d0b808a2fb46c06f483", "input": "Problem: a rectangular circuit board is designed to have width w inches , perimeter p inches , and area x square inches . which of the following equations must be true ? \nOptions: ['a ) w ^ 2 + pw + x = 0', 'b ) w ^ 2 - pw + 2 x = 0', 'c ) 2 w ^ 2 + pw + 2 x = 0', 'd ) 2 w ^ 2 - pw - 2 x = 0', 'e ) 2 w ^ 2 - pw + 2 x = 0']", "output": [ "e" ] }, { "id": "task1423-8cd9cd172fa94ccd9aa2712053a82bf1", "input": "Problem: if the sides of a cube are in the ratio 9 : 7 . what is the ratio of their diagonals ? \nOptions: a ) 4 : 3 , b ) 16 : 9 , c ) 9 : 7 , d ) 3 : 4 , e ) 3 : 8", "output": [ "c" ] }, { "id": "task1423-e6bd0ca16986412282c7b019b7f03a35", "input": "Problem: a circular well with a diameter of 6 metres , is dug to a depth of 24 metres . what is the volume of the earth dug out ? \nOptions: a ) 678.6 m 3 , b ) 36 m 3 , c ) 40 m 3 , d ) 44 m 3 , e ) none", "output": [ "a" ] }, { "id": "task1423-fdacc51558f94d02b64232145ece089d", "input": "Problem: the area of a triangle is with base 3 m and height 6 m ? \nOptions: a ) 88 m 2 , b ) 9 m 2 , c ) 66 m 2 , d ) 77 m 2 , e ) 31 m 2", "output": [ "b" ] }, { "id": "task1423-f2417128af264cafb483b5c52d2fc074", "input": "Problem: the ratio of the volumes of a cube to that of the sphere which will fit inside the cube is ? \nOptions: ['a ) 6.862 kg', 'b ) 6.838 kg', 'c ) 6.632 kg', 'd ) 6.832 kg', 'e ) 6.834 kg']", "output": [ "d" ] }, { "id": "task1423-8b9033eb22804e02b6eb81e3b4c29f2b", "input": "Problem: a semicircle has a radius of 10 . what is the approximate perimeter of the semicircle ? \nOptions: a ) 27 , b ) 33 , c ) 39 , d ) 45 , e ) 51", "output": [ "e" ] }, { "id": "task1423-27d0f1cc6da9407da4c0abad147a11ce", "input": "Problem: a rectangular photograph is surrounded by a border that is 1 inch wide on each side . the total area of the photograph and the border is m square inches . if the border had been 3 inches wide on each side , the total area would have been ( m + 52 ) square inches . what is the perimeter of the photograph , in inches ? \nOptions: a ) 10 , b ) 36 , c ) 38 , d ) 40 , e ) 42", "output": [ "a" ] }, { "id": "task1423-115e3c916246450987a17dce197d8805", "input": "Problem: amit and ian paint a wall in alternating shifts . first amit paints alone , then ian paints alone , then amit paints alone , etc . during each of his shifts , amit paints 1 / 2 of the remaining unpainted area of the wall , while ian paints 1 / 3 of the remaining unpainted area of the wall during each of his shifts . if amit goes first , what fraction of the wall ' s area will remain unpainted after amit has completed his 6 th shift ? \nOptions: ['a ) 1 / 27', 'b ) 1 / 54', 'c ) 1 / 81', 'd ) 1 / 162', 'e ) 1 / 486']", "output": [ "e" ] }, { "id": "task1423-fca511e4663e433f83acf13da5fd5694", "input": "Problem: a cube 125 mt is colored pink on two opposite surfaces and then cut in to 125 smaller cubes then find how many number of cubes have pink color ? \nOptions: ['a ) 3', 'b ) 4', 'c ) 5', 'd ) 6', 'e ) 7']", "output": [ "b" ] }, { "id": "task1423-7d1c4eea354f4bb18f4f8d01cdb7be79", "input": "Problem: the area of a square is equal to three times the area of a rectangle of dimensions 25 cm * 27 cm . what is the perimeter of the square ? \nOptions: a ) 180 cm , b ) 190 cm , c ) 170 cm , d ) 150 cm , e ) 160 cm", "output": [ "a" ] }, { "id": "task1423-a09cfadcad884d6e8a7b7846e2b7ab5e", "input": "Problem: if n is the smallest integer such that 864 times n is the square of an integer , what is the value of n ? \nOptions: a ) 2 , b ) 3 , c ) 6 , d ) 12 , e ) 24", "output": [ "b" ] }, { "id": "task1423-b8381b25a18f44a8a0fefe85996d2d7a", "input": "Problem: four circular cardboard pieces , each of radius 7 cm are placed in such a way that each piece touches two other pieces . the area of the space encosed by the four pieces is. four circular cardboard pieces , each of radius 7 cm are placed in such a way that each piece touches two other pieces . the area of the space encosed by the four pieces is \nOptions: ['a ) 12', 'b ) 32', 'c ) 42', 'd ) 52', 'e ) 58']", "output": [ "c" ] }, { "id": "task1423-aef3dd939ea442308ee2a51b1769114d", "input": "Problem: a certain rectangular window is ( 1 / 3 ) times as long as it is wide . if its perimeter is 28 feet , what are its dimensions in terms of length by width ? \nOptions: ['a ) 12 by 2', 'b ) 11 by 3', 'c ) 10.5 by 3.5', 'd ) 10 by 4', 'e ) 9 by 3']", "output": [ "c" ] }, { "id": "task1423-e6c2cdf9d36744a987a794a195f845df", "input": "Problem: two isosceles triangles have equal vertical angles and their areas are in the ratio 25 : 49 . find the ratio of their corresponding heights . \nOptions: a ) 4 / 5 , b ) 5 / 4 , c ) 3 / 2 , d ) 5 / 7 , e ) 2 / 3", "output": [ "d" ] }, { "id": "task1423-a58db41ea7e249b3a73990d4c532bc0b", "input": "Problem: a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 720 sq . feet , how many feet of fencing will be required ? \nOptions: a ) 34 , b ) 92 , c ) 68 , d ) 88 , e ) none", "output": [ "b" ] }, { "id": "task1423-94d6f37078c74fb29d29c0805312fde4", "input": "Problem: the area of a triangle will be when a = 1 m , b = 2 m , c = 7 m , a , b , c being lengths of respective sides ? \nOptions: a ) 3 , b ) 6 , c ) 5 , d ) 9 , e ) 1", "output": [ "c" ] }, { "id": "task1423-305fb9c4941f41489298747e5010503c", "input": "Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 5 inches , what is the rectangle ' s area , in square inches ? \nOptions: a ) 30 square inches , b ) 75 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches", "output": [ "b" ] }, { "id": "task1423-7561d40d2c404e05b030681fe88782a3", "input": "Problem: the area of a circular field is 17.56 hectares . find the cost of fencing it at the rate of rs . 7 per metre approximately \nOptions: a ) 4457 , b ) 10400 , c ) 4235 , d ) 4547 , e ) 4675", "output": [ "b" ] }, { "id": "task1423-287330fe98b044ccae3cfcd81ac6a6da", "input": "Problem: a rectangular grass field is 65 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ? \nOptions: a ) 1350 , b ) 1971 , c ) 9676 , d ) 1679 , e ) 1250", "output": [ "e" ] }, { "id": "task1423-24534271d6a74b669870fbf7aad43a3a", "input": "Problem: a rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 3 per sq m ? \nOptions: ['a ) rs . 3919', 'b ) rs . 3910', 'c ) rs . 3997', 'd ) rs . 3900', 'e ) rs . 3902']", "output": [ "d" ] }, { "id": "task1423-a5fc131745014c3584d2dfb03917b058", "input": "Problem: anup manages to draw 7 circles of equal radii with their centres on the diagonal of a square such that two extreme circles touch two sides of the square and each middle circle touches two circles on either side . find the ratio of radius of the circles to the side of the square . \nOptions: ['a ) 1 : ( 2 + 6 ^ ( 1 / 2 ) )', 'b ) 1 : ( 4 + 7 ^ ( 1 / 3 ) )', 'c ) ( 2 + 7 ^ ( 1 / 2 ) ) : 1', 'd ) ( 2 + 7 ^ ( 1 / 2 ) ) : 2', 'e ) none of these']", "output": [ "e" ] }, { "id": "task1423-8cf4fc49ebf24cbbb5522a371b495fb4", "input": "Problem: the floor of a rectangular room is 15 m long and 12 m wide . the room is surrounded by a verandah of width 2 m on all its sides . the area of the verandah is : \nOptions: ['a ) 124 m 2', 'b ) 120 m 2', 'c ) 108 m 2', 'd ) 58 m 2', 'e ) none of these']", "output": [ "a" ] }, { "id": "task1423-c46e9543fb9a412c8e7a27fd1210b259", "input": "Problem: rectangle a has sides a and b , and rectangle b has sides c and d . if a / c = b / d = 3 / 4 , what is the ratio of rectangle a ’ s area to rectangle b ’ s area ? \nOptions: a ) 3 / 4 , b ) 9 / 16 , c ) 16 / 3 , d ) 4 / 3 , e ) 3 / 16", "output": [ "b" ] }, { "id": "task1423-98f979f6bf9f408cb711d9992ed0c9d7", "input": "Problem: find the area of a parallelogram with base 48 cm and height 36 cm ? \nOptions: a ) 1730 cm 2 , b ) 1728 cm 2 , c ) 1870 cm 2 , d ) 1890 cm 2 , e ) 668 cm 2", "output": [ "b" ] }, { "id": "task1423-f5b6e44c992940eca19de56621293356", "input": "Problem: the dimensions of a room are 25 feet * 15 feet * 12 feet . what is the cost of white washing the four walls of the room at rs . 10 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ? \nOptions: a ) s . 9060 , b ) s . 4520 , c ) s . 4527 , d ) s . 4530 , e ) s . 4521", "output": [ "a" ] }, { "id": "task1423-0783595135fb463e8e1074b87519ab9b", "input": "Problem: a cheese factory sells its cheese in rectangular blocks . a normal block has a volume of 5 cubic feet . if a large block has twice the width , twice the depth , and the same length of a normal block , what is the volume of cheese in a large block in cubic feet ? \nOptions: a ) 15 , b ) 30 , c ) 20 , d ) 18 , e ) 25", "output": [ "c" ] }, { "id": "task1423-1b58c17dd286433e953c7f47f8576c0d", "input": "Problem: what is the area of square field whose side of length 7 m ? \nOptions: a ) 225 , b ) 662 , c ) 772 , d ) 882 , e ) 49", "output": [ "e" ] }, { "id": "task1423-3ee7da9fc76244859e927a26b1776614", "input": "Problem: how many times are the hands of a clock at right angle in 2 weeks ? \nOptions: a ) 616 , b ) 611 , c ) 661 , d ) 116 , e ) 666", "output": [ "a" ] }, { "id": "task1423-d03d02de816d475cb2e74690711cfa1e", "input": "Problem: the base of a triangle is 15 cm and height is 12 cm . the height of another triangle of double the area having the base 20 cm is : \nOptions: ['a ) 22 cm', 'b ) 20 cm', 'c ) 18 cm', 'd ) 10 cm', 'e ) none of these']", "output": [ "c" ] }, { "id": "task1423-2ab4f0d8b5d149e683046365518dea71", "input": "Problem: a crate measures 4 feet by 8 feet by 12 feet on the inside . a stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides . what is the radius , in feet , of the pillar with the largest volume that could still fit in the crate ? \nOptions: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 12", "output": [ "d" ] }, { "id": "task1423-b9603af057d6479fa3d612cc8b0d5e84", "input": "Problem: the side of a square is increased by 40 % then how much % does its area increases ? \nOptions: a ) 96 , b ) 56.25 , c ) 50.75 , d ) 42.75 , e ) 52.75", "output": [ "a" ] }, { "id": "task1423-123822f07dc64612936bc35e8f7507a0", "input": "Problem: if the sum of a number and its square is 342 , what is the number ? \nOptions: a ) 16 , b ) 77 , c ) 25 , d ) 87 , e ) 18", "output": [ "e" ] }, { "id": "task1423-4ba397d0a6424125b75c4267adcf23d2", "input": "Problem: find the area of the quadrilateral of one of its diagonals is 24 cm and its off sets 9 cm and 6 cm ? \nOptions: a ) 180 cm 2 , b ) 150 cm 2 , c ) 168 cm 2 , d ) 198 cm 2 , e ) 987 cm 2", "output": [ "a" ] }, { "id": "task1423-b712a3b729ec4fa1b91b226d34254d61", "input": "Problem: if the length of the side of a square is doubled , what is the ratio of the areas of the original square to the area of the new square ? \nOptions: ['a ) 1 : 4', 'b ) 2 : 4', 'c ) 3 : 4', 'd ) 4 : 4', 'e ) 5 : 4']", "output": [ "a" ] }, { "id": "task1423-64faf817b3794d969ffdd77740a8fe8d", "input": "Problem: a ring x of diameter 16 inches is placed inside another ring y of diameter of 18 inches . how much fraction of the ring x surface is not covered by the ring y ? \nOptions: ['a ) 13 / 15', 'b ) 12 / 4', 'c ) 16 / 17', 'd ) 22 / 16', 'e ) 17 / 81']", "output": [ "e" ] }, { "id": "task1423-1dbcd83434cc4036b82b8d93f14a6535", "input": "Problem: find the smallest number which should be divided with 3872 to make it a perfect square . \nOptions: a ) 8 , b ) 6 , c ) 2 , d ) 4 , e ) 1", "output": [ "c" ] }, { "id": "task1423-1f01a7b740a249bcbae83810cd91b07c", "input": "Problem: the radius of the two circular fields is in the ratio 4 : 5 the area of the first field is what percent less than the area of the second ? \nOptions: a ) 42 % , b ) 39 % , c ) 38 % , d ) 36 % , e ) 26 %", "output": [ "d" ] }, { "id": "task1423-dfa06122333347529d95b8cc4bfa1047", "input": "Problem: find the base k of the number system , if ( 524 ) 8 = ( 664 ) k ? \nOptions: ['a ) 4', 'b ) 5', 'c ) 6', 'd ) 7', 'e ) 8']", "output": [ "d" ] }, { "id": "task1423-d7193e29e0d64379b017c5c605a40097", "input": "Problem: the mass of 1 cubic meter of a substance is 200 kg under certain conditions . what is the volume in cubic centimeters of 1 gram of this substance under these conditions ? ( 1 kg = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters ) \nOptions: ['a ) 1', 'b ) 2', 'c ) 3', 'd ) 4', 'e ) 5']", "output": [ "e" ] }, { "id": "task1423-879ee52cb840413295ed7e63e1b25377", "input": "Problem: how many cubes of edge 2 dm can be cut out of a meter cube ? \nOptions: ['a ) 296', 'b ) 289', 'c ) 270', 'd ) 125', 'e ) 278']", "output": [ "d" ] }, { "id": "task1423-8f5b5e0b66144f7bb8efb25d3a1d5376", "input": "Problem: mr . loyd wants to fence his square shaped land of 60 sqft each side . if a pole is laid every 12 ft how many poles do he need ? \nOptions: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 60", "output": [ "a" ] }, { "id": "task1423-32fc472dee4f4533b269386b9a03f91f", "input": "Problem: if the length of the diagonal of a square is 20 cm , then its perimeter must be \nOptions: ['a ) 40', 'b ) 38', 'c ) 27', 'd ) 29', 'e ) 11']", "output": [ "a" ] }, { "id": "task1423-a38c8da92d9f491f92bf043f19c9ccfb", "input": "Problem: what would be the perimeter of the square whose side is equal to the diameter of the circle whose perimeter is 52.5 cm ? \nOptions: ['a ) 52.5', 'b ) 60.2', 'c ) 66.8', 'd ) 74.25', 'e ) 80.12']", "output": [ "c" ] }, { "id": "task1423-1cc84241cf1649319c1f5c2120c70df1", "input": "Problem: the diameter of a cylindrical tin is 8 cm and height is 5 cm . find the volume of the cylinder ? \nOptions: a ) 33 , b ) 45 , c ) 66 , d ) 80 , e ) 21", "output": [ "d" ] }, { "id": "task1423-727d5e4f604d4fbdb89000d4fc284cdc", "input": "Problem: the measure of the side of a square is multiplied by 5 . if x represents the perimeter of the original square , what is the value of the new perimeter ? \nOptions: ['a ) 3 x', 'b ) 4 x', 'c ) 5 x', 'd ) 12 x', 'e ) 27 x']", "output": [ "c" ] }, { "id": "task1423-0fc43f2be44c4278934cd508651a6f7e", "input": "Problem: the volume of a certain substance is always directly proportional to its weight . if 48 cubic inches of the substance weigh 112 ounces , what is the volume , in cubic inches , of 63 ounces of this substance ? \nOptions: a ) 27 , b ) 36 , c ) 42 , d ) 64 , e ) 147", "output": [ "a" ] }, { "id": "task1423-57cf4fe44a0640b2bea44e63f1d29c8d", "input": "Problem: what is the angle between the hands of a clock when time is 10 : 30 ? \nOptions: a ) 65 deg , b ) 75 deg , c ) 45 deg , d ) 15 deg , e ) 135 deg", "output": [ "e" ] }, { "id": "task1423-c902921ca5ee4fc7a978940989e2b285", "input": "Problem: a square of 2 unit is given and four circles are made on its corners having equal radius of each . and another circle of equal radius is made on the center of the square . find out the area of square which is not covered by circles ? \nOptions: ['a ) 0.76', 'b ) 0.86', 'c ) 0.96', 'd ) 1.16', 'e ) 1.26']", "output": [ "b" ] }, { "id": "task1423-542ff6ff64584c6b8b7be7471401c221", "input": "Problem: the area of a triangle is with base 3 m and height 4 m ? \nOptions: a ) 4 m 2 , b ) 6 m 2 , c ) 18 m 2 , d ) 19 m 2 , e ) 12 m 2", "output": [ "b" ] }, { "id": "task1423-53ef27d98a164ff98bb66dd81cdff1f7", "input": "Problem: the perimeter of an equilateral triangle is 60 . if one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 65 , then how long is the base of isosceles triangle ? \nOptions: ['a ) 10', 'b ) 15', 'c ) 20', 'd ) 25', 'e ) 30']", "output": [ "d" ] }, { "id": "task1423-ca73c8fb642b415da0a7f9e58decbdd9", "input": "Problem: people were sitting in a circle . 7 th one is direct opposite to 18 th one . . then how many were there in that group ? \nOptions: ['a ) 21', 'b ) 22', 'c ) 23', 'd ) 24', 'e ) 20']", "output": [ "b" ] }, { "id": "task1423-7c9d8125172b462eb6548ddb4643a37b", "input": "Problem: what is the smallest positive integer x , such that 1152 x is a perfect cube ? \nOptions: a ) 4 , b ) 6 , c ) 8 , d ) 12 , e ) 18", "output": [ "d" ] }, { "id": "task1423-18309aa557b1404780b6bb35812137a2", "input": "Problem: what is the % change in the area of a rectangle when its length increases by 30 % and its width decreases by 30 % ? \nOptions: a ) 0 % , b ) 20 % increase , c ) 20 % decrease , d ) 9 % decrease , e ) insufficient data", "output": [ "d" ] }, { "id": "task1423-f216ddebf8e646258e1bfdb7c6695b27", "input": "Problem: area of square with side x is equal to the area of a triangle with base x . the altitude of the triangle is \nOptions: ['a ) x / 2', 'b ) x', 'c ) 2 x', 'd ) 4 x', 'e ) 3 x']", "output": [ "c" ] }, { "id": "task1423-5caa78bb1df244f58f8cf98ee928b746", "input": "Problem: triangle xyz is an isosceles right triangle . if side xy is longer than side yz , and the area of the triangle is 36 , what is the measure of side xy ? \nOptions: a ) 4 , b ) 4 √ 2 , c ) 12 , d ) 8 √ 2 , e ) can not be determined from the information provided", "output": [ "c" ] }, { "id": "task1423-a140df81c25b4cdbbcfc9d54f65bfa12", "input": "Problem: a snooker tournament charges $ 45.00 for vip seats and $ 15.00 for general admission ( “ regular ” seats ) . on a certain night , a total of 300 tickets were sold , for a total cost of $ 7,500 . how many fewer tickets were sold that night for vip seats than for general admission seats ? \nOptions: a ) 212 , b ) 240 , c ) 220 , d ) 230 , e ) 225", "output": [ "c" ] }, { "id": "task1423-8a87bafd27284847bc5f12d98d84cf5e", "input": "Problem: the size of a flat - screen television is given as the length of the screen ’ s diagonal . how many square inches greater is the screen of a square 28 - inch flat - screen television than a square 25 - inch flat - screen television ? \nOptions: ['a ) 79.5', 'b ) 89.3', 'c ) 85.5', 'd ) 75.4', 'e ) 72.5']", "output": [ "a" ] }, { "id": "task1423-bcace292e4934be3a6fb30cfaec63acb", "input": "Problem: the length of a rectangular field is 7 / 5 its width . if the perimeter of the field is 432 meters , what is the width of the field ? \nOptions: a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 90", "output": [ "e" ] }, { "id": "task1423-9dd1e3975e6b4ddb9fa5ac691cdd21e6", "input": "Problem: a metallic sheet is of rectangular shape with dimensions 46 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m 3 ) is : \nOptions: a ) 4830 , b ) 5120 , c ) 6420 , d ) 4800 , e ) 8960", "output": [ "d" ] }, { "id": "task1423-12fbb87f553944fdab67f17817cbb741", "input": "Problem: find the area of the quadrilateral of one of its diagonals is 28 cm and its off sets 9 cm and 6 cm ? \nOptions: a ) 210 cm 2 , b ) 150 cm 2 , c ) 168 cm 2 , d ) 198 cm 2 , e ) 987 cm 2", "output": [ "a" ] } ], "Instance License": [ "Apache 2.0" ] }