niryuu/sni-each-converted huggingface dataset:
Problem: when 732 is subtracted form the square of a number , the answer that is obtained is 5280 . what is the number ? 
Options: ['a ) 228', 'b ) 103', 'c ) 286', 'd ) 122', 'e ) 102']
Output: b
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 . 
Options: a ) 10 and 3 , b ) 7 and 10 , c ) 10 and 7 , d ) 3 and 10 , e ) 10 and 10
Output: c
Problem: the radius of a cylinder is 12 m , height 21 m . the lateral surface area of the cylinder is : 
Options: ['a ) 1584', 'b ) 1854', 'c ) 1458', 'd ) 1485', 'e ) none of them']
Output: a
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 ? 
Options: ['a ) 50', 'b ) 60', 'c ) 70', 'd ) 80', 'e ) 90']
Output: b
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 ? 
Options: ['a ) 24', 'b ) 48', 'c ) 64', 'd ) 80', 'e ) 512']
Output: e
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 ? 
Options: a ) s . 3988 , b ) s . 4800 , c ) s . 3228 , d ) s . 3922 , e ) s . 3928
Output: b
Problem: what is the ratio between perimeters of two squares one having 3 times the diagonal then the other ? 
Options: ['a ) 3 : 2', 'b ) 3 : 0', 'c ) 4 : 1', 'd ) 3 : 1', 'e ) 2 : 2']
Output: d
Problem: if the length of a rectangle is halved and its breadth is tripled , what is the percentage change in its area ? 
Options: ['a ) 30', 'b ) 40', 'c ) 50', 'd ) 60', 'e ) 70']
Output: c
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 ? 
Options: a ) 73 , b ) 32 , c ) 34 , d ) 43 , e ) 80
Output: e
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 ? 
Options: ['a ) 16', 'b ) 24', 'c ) 32', 'd ) 40', 'e ) 48']
Output: a
Problem: the height of a triangle is decreased by 5 % and its base increased by 10 % . its area will 
Options: ['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
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 ? 
Options: a ) 450 , b ) 600 , c ) 500 , d ) 2400 , e ) 3200
Output: c
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 ? 
Options: ['a ) 82 %', 'b ) 78 %', 'c ) 80 %', 'd ) 90 %', 'e ) none of these']
Output: a
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 ? 
Options: a ) 120 cm , b ) 767 cm , c ) 88 cm , d ) 666 cm , e ) 776 cm
Output: a
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 ? 
Options: a ) 8 , b ) 9 , c ) 7 , d ) 6 , e ) 15
Output: e
Problem: what is the perimeter of a triangle with sides 7 and 5 that has the maximum possible area ? 
Options: ['a ) 12 + √ 7', 'b ) 12 + 4 √ 7', 'c ) 12 + √ 47', 'd ) 12 + 4 √ 47', 'e ) 12 + √ 74']
Output: e
Problem: find the sum of divisors of 544 which are perfect squares . 
Options: a ) 32 , b ) 64 , c ) 42 , d ) 21 , e ) none of these
Output: d
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 : 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: c
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 ? 
Options: a ) 18 ° , b ) 36 ° , c ) 54 ° , d ) 72 ° , e ) 90 °
Output: e
Problem: find the area of a parallelogram with base 24 cm and height 16 cm ? 
Options: a ) 298 cm 2 , b ) 384 cm 2 , c ) 279 cm 2 , d ) 297 cm 2 , e ) 278 cm 2
Output: b
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 ? 
Options: ['a ) 113', 'b ) 114', 'c ) 115', 'd ) 116', 'e ) 117']
Output: b
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 ? 
Options: ['a ) 2 √ 2', 'b ) 2 √ 5', 'c ) 5', 'd ) 7', 'e ) none of these']
Output: d
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 ? 
Options: a ) s . 4529 , b ) s . 4586 , c ) s . 4597 , d ) s . 4530 , e ) s . 5436
Output: e
Problem: the diagonals of the two squares are in the ratio of 7 : 9 find the ratio of their area 
Options: ['a ) 78 : 89', 'b ) 5 : 48', 'c ) 49 : 81', 'd ) 74 : 36', 'e ) 25 : 49']
Output: c
Problem: the diagonals of a rhombus are 12 cm and 20 cm . find its area ? 
Options: a ) 329 , b ) 288 , c ) 120 , d ) 238 , e ) 31
Output: c
Problem: if each edge of cube increased by 10 % , the percentage increase in surface area is : 
Options: ['a ) 33.1', 'b ) 33.5', 'c ) 33.7', 'd ) 33.2', 'e ) 33.9']
Output: a
Problem: the edge of a cube is 2 a cm . find its surface ? 
Options: 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
Problem: what is the maximum number of pieces that a circular pizza can be cut into with 5 linear cuts ? 
Options: a ) 10 , b ) 14 , c ) 15 , d ) 16 , e ) 17
Output: d
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 ? 
Options: 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
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 ? 
Options: ['a ) 1', 'b ) 2', 'c ) 3', 'd ) 4', 'e ) 5']
Output: b
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 
Options: ['a ) 25 : 16', 'b ) 24 : 25', 'c ) 5 : 6', 'd ) 4 : 5', 'e ) 4 : 9']
Output: b
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 ? 
Options: a ) 15 , b ) 20 , c ) 25 , d ) 30 , e ) 35
Output: d
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 ? 
Options: a ) 48 , b ) 32 , c ) 24 , d ) 18 , e ) 12
Output: c
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 ? 
Options: a ) 520 , b ) 420 , c ) 320 , d ) 550 , e ) 450
Output: b
Problem: the sum of the squares of two numbers is 3341 and the diference of their squares is 891 . the numbers are : 
Options: a ) 35 and 46 , b ) 35 and 49 , c ) 35 and 42 , d ) 35 and 41 , e ) 35 and 48
Output: a
Problem: what is the area of a square field whose diagonal of length 24 m ? 
Options: a ) 240 sq m , b ) 250 sq m , c ) 200 sq m , d ) 400 sq m , e ) 800 sq m
Output: a
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 ) ? 
Options: a ) 4.51 , b ) 4.71 , c ) 4.32 , d ) 4.21 , e ) 4.68
Output: b
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 ? 
Options: a ) 9801 , b ) 10,000 , c ) 14,400 , d ) 12,696 , e ) can not be determined
Output: a
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 ? 
Options: a ) 54 , b ) 1440 , c ) 2,160 , d ) 2,916 , e ) 148,824
Output: b
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 . 
Options: a ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) 25
Output: a
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 ? 
Options: a ) 875 , b ) 405 , c ) 1425 , d ) 2025 , e ) 2500
Output: b
Problem: the diagonals of a rhombus are 22 cm and 30 cm . find its area ? 
Options: a ) 358 , b ) 329 , c ) 350 , d ) 330 , e ) 317
Output: d
Problem: if the difference of two numbers is 3 and the difference of their square is 39 , then the larger number is : 
Options: a ) 9 , b ) 2 , c ) 12 , d ) 14 , e ) 8
Output: e
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 ? 
Options: a ) 24 , b ) 8 , c ) 16 , d ) 0 , e ) 4
Output: b
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 ? 
Options: a ) 18 square meters , b ) 20 square meters , c ) 24 square meters , d ) 28 square meters , e ) 30 square meters
Output: c
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 ? ( % ) 
Options: ['a ) 4.09', 'b ) 4.0', 'c ) 4.04', 'd ) 4.02', 'e ) 4.01']
Output: c
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 ? 
Options: ['a ) 2 pie', 'b ) 11 pie', 'c ) 178 pie', 'd ) 711 pie', 'e ) 1280 pie']
Output: c
Problem: what is the diagonal of a square field whose perimeter is 24 m ? 
Options: ['a ) 8 m', 'b ) 2 m', 'c ) 7 m', 'd ) 10 m', 'e ) 6 √ 2 m']
Output: e
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 ? 
Options: ['a ) 11236', 'b ) 11025', 'c ) 14400', 'd ) 12696', 'e ) can not be determined']
Output: a
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 ? 
Options: a ) 13 , b ) 15 , c ) 17 , d ) 19 , e ) 21
Output: c
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 ? 
Options: a ) 3944 , b ) 920 , c ) 7290 , d ) 6928 , e ) 4012
Output: e
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 ? 
Options: ['a ) 100 π', 'b ) 101 / π', 'c ) 99 π / 12', 'd ) 54 / 13 π', 'e ) 22 / 10 π']
Output: a
Problem: find the curved surface area , if the radius of a cone is 21 m and slant height is 15 m ? 
Options: ['a ) 660', 'b ) 770', 'c ) 880', 'd ) 900', 'e ) 990']
Output: e
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 ? 
Options: a ) 1 / 6 , b ) 2 / 3 , c ) 3 / 10 , d ) 1 / 3 , e ) 2 / 5
Output: b
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 ? 
Options: ['a ) 100', 'b ) 272', 'c ) 287', 'd ) 189', 'e ) 289']
Output: a
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 ? 
Options: a ) 10 feet , b ) 8 feet , c ) 13 feet , d ) 15 feet , e ) 18 feet
Output: b
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 ? 
Options: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16
Output: a
Problem: one side of a rectangular field is 15 m and one of its diagonals is 17 m . find the area of the field . 
Options: a ) 120 , b ) 147 , c ) 251 , d ) 451 , e ) 258
Output: a
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 ? 
Options: a ) 1 / 9 , b ) 1 / 8 , c ) 1 / 6 , d ) 1 / 5 , e ) 1 / 3
Output: a
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 ? 
Options: a ) 107 , b ) 70 , c ) 78 , d ) 60 , e ) 111
Output: d
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 
Options: a ) 23 , b ) 51 , c ) 38 , d ) 35 , e ) 37
Output: d
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 ? 
Options: ['a ) 2 √ 2', 'b ) 2 √ 5', 'c ) 5', 'd ) 4 √ 2', 'e ) 8']
Output: e
Problem: what is the area of an equilateral triangle whose one side length is 40 ? 
Options: a ) 100 √ 3 , b ) 200 √ 3 , c ) 300 √ 3 , d ) 350 √ 3 , e ) 400 √ 3
Output: e
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 ? 
Options: a ) $ 1.60 , b ) $ 16.00 , c ) $ 96.00 , d ) $ 108.00 , e ) $ 196.00
Output: b
Problem: find the area of a parallelogram with base 32 cm and height 18 cm ? 
Options: a ) 576 cm 2 , b ) 384 cm 2 , c ) 672 cm 2 , d ) 267 cm 2 , e ) 286 cm 2
Output: a
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 ? 
Options: ['a ) 18', 'b ) 6', 'c ) 27', 'd ) 48', 'e ) 36']
Output: e
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 ? 
Options: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18
Output: b
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 ? 
Options: ['a ) 10', 'b ) 20', 'c ) 40', 'd ) 60', 'e ) 80']
Output: c
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 ? 
Options: ['a ) 12300', 'b ) 14500', 'c ) 15400', 'd ) 16700', 'e ) 18200']
Output: c
Problem: the diagonals of a rhombus are 30 cm and 20 cm . find its area ? 
Options: a ) 176 , b ) 190 , c ) 150 , d ) 278 , e ) 300
Output: e
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 ? 
Options: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 60
Output: c
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 ? 
Options: a ) 1 / 9 , b ) 1 / 8 , c ) 1 / 6 , d ) 1 / 5 , e ) 1 / 3
Output: a
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 ? 
Options: ['a ) 225', 'b ) 450', 'c ) 25 √ 2', 'd ) 200', 'e ) 600']
Output: e
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 ? 
Options: a ) 30 π , b ) 45 π , c ) 60 π , d ) 90 π , e ) none
Output: c
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 ? 
Options: a ) 3 , b ) 11 , c ) 13 , d ) 23 , e ) 38
Output: a
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 ? 
Options: a ) 4000 , b ) 345 , c ) 5673 , d ) 6530 , e ) 8154
Output: e
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 ? 
Options: a ) 218 , b ) 226 , c ) 234 , d ) 242 , e ) 250
Output: c
Problem: the average length of the sides of triangle abc is 12 . what is the perimeter of triangle abc ? 
Options: ['a ) 4', 'b ) 6', 'c ) 12', 'd ) 24', 'e ) 36']
Output: e
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 ? 
Options: a ) 37.5 % , b ) 12.5 % , c ) 18.75 % , d ) 25 % , e ) 33.3 %
Output: a
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 ) 
Options: ['a ) 77.14 cm', 'b ) 47.14 cm', 'c ) 84.92 cm', 'd ) 94.94 cm', 'e ) 23.57 cm']
Output: e
Problem: the length of a rectangle is halved while its width is also halved . what is the % change in area ? 
Options: a ) 25 % , b ) 30 % , c ) 50 % , d ) 65 % , e ) 75 %
Output: e
Problem: what is the ratio between perimeters of two squares one having 7 times the diagonal then the other ? 
Options: a ) 3 : 7 , b ) 3 : 5 , c ) 3 : 8 , d ) 7 : 1 , e ) 3 : 5
Output: d
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 ? 
Options: a ) 13 / 35 , b ) 14 / 35 , c ) 1 / 2 , d ) 5 / 6 , e ) 5 / 5
Output: a
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 ? 
Options: a ) 5 , b ) 6 , c ) 10 , d ) 13 , e ) 28
Output: c
Problem: if the area of a circle is 81 pi square feet , find its circumference . 
Options: a ) 15 , b ) 16 , c ) 17 , d ) 18 , e ) 19
Output: d
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 . 
Options: ['a ) 5 : 78', 'b ) 5 : 11', 'c ) 5 : 12', 'd ) 5 : 19', 'e ) 5 : 16']
Output: e
Problem: the length of rectangle is thrice its breadth and its perimeter is 48 m , find the area of the rectangle ? 
Options: a ) 432 , b ) 108 , c ) 252 , d ) 992 , e ) 212
Output: b
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 ? 
Options: ['a ) 8 cm', 'b ) 10 cm', 'c ) 12 cm', 'd ) 14 cm', 'e ) none']
Output: b
Problem: the radius of the base of cone is 3 cm and height is 4 cm . find the volume of the cone ? 
Options: ['a ) 12', 'b ) 75', 'c ) 97', 'd ) 15', 'e ) 91']
Output: a
Problem: how many pieces can a square pizza be cut into by making 4 linear cuts ? 
Options: ['a ) 10', 'b ) 11', 'c ) 12', 'd ) 13', 'e ) 14']
Output: b
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 ? 
Options: ['a ) 4.8 cm', 'b ) 4.4 cm', 'c ) 4.9 cm', 'd ) 5.0 cm', 'e ) 5.2 cm']
Output: a
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 ? 
Options: a ) 878 , b ) 879 , c ) 880 , d ) 881 , e ) 882
Output: e
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 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: c
Problem: the percentage increase in the area of a rectangle , if each of its sides is increased by 20 % is : 
Options: a ) 44 % , b ) 46 % , c ) 48 % , d ) 50 % , e ) 51 %
Output: a
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 : 
Options: a ) 1 : 25 , b ) 1 : 22 , c ) 1 : 52 , d ) 1 : 64 , e ) none
Output: d
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 ? 
Options: ['a ) 20 sq . ft', 'b ) 27 sq . ft', 'c ) 37 sq . ft', 'd ) 47 sq . ft', 'e ) 57 sq . ft']
Output: b
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 ? 
Options: a ) 126 , b ) 156 , c ) 190 , d ) 140 , e ) 260
Output: d
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 ? 
Options: ['a ) 2', 'b ) 4', 'c ) 8', 'd ) 16', 'e ) none of the above']
Output: c
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 ? 
Options: ['a ) 13', 'b ) 12', 'c ) 4', 'd ) 16', 'e ) 18']
Output: a
Problem: what is the measure of the radius of the circle that circumscribes a triangle whose sides measure 9 , 40 and 41 ? 
Options: a ) 6 , b ) 4 , c ) 24.5 , d ) 20.5 , e ) 12.5
Output: d
Problem: 12 * 18 * 6 is the volume of some material . how many cubes of edge 3 can be insert into it ? 
Options: ['a ) 48', 'b ) 49', 'c ) 50', 'd ) 51', 'e ) 52']
Output: a
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 € ™ ? 
Options: ['a ) 9 v â € ™', 'b ) 4 v â € ™', 'c ) v â € ™ / 2', 'd ) v â € ™ / 4', 'e ) v â € ™']
Output: a
Problem: find the area of a parallelogram with base 21 cm and height 11 cm ? 
Options: a ) 231 cm 2 , b ) 384 cm 2 , c ) 672 cm 2 , d ) 267 cm 2 , e ) 286 cm 2
Output: a
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 ? 
Options: a ) 128 cm 2 , b ) 36.0 cm 2 , c ) 105 cm 2 , d ) 25 cm 2 , e ) 135 cm 2
Output: c
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 % ? 
Options: 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
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 ? 
Options: a ) 9 % less , b ) 1 % less , c ) equal to each other , d ) 1.6 % more , e ) 9 % more
Output: d
Problem: what is the angle between the 2 hands of the clock at 8 : 24 pm ? 
Options: a ) 100 ° , b ) 107 ° , c ) 106 ° , d ) 108 ° , e ) none of these
Output: d
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 ? 
Options: ['a ) 1 / 6', 'b ) 1 / 5', 'c ) 3 / 10', 'd ) 1 / 3', 'e ) 4 / 10']
Output: e
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 ? 
Options: ['a ) 4', 'b ) 5', 'c ) 6', 'd ) 8', 'e ) 10']
Output: d
Problem: if a square mirror has a 20 - inch diagonal , what is the approximate perimeter e of the mirror , in inches ? 
Options: ['a ) 40', 'b ) 60', 'c ) 80', 'd ) 100', 'e ) 120']
Output: b
Problem: what is the area of square field whose side of length 16 m ? 
Options: a ) 225 , b ) 777 , c ) 256 , d ) 288 , e ) 261
Output: c
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 ? 
Options: a ) 44 ft , b ) 97 ft , c ) 22 ft , d ) 11 ft , e ) 66 ft
Output: b
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 ? 
Options: ['a ) 76', 'b ) 65', 'c ) 59.5', 'd ) 49', 'e ) 38.5']
Output: e
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 ? 
Options: ['a ) 9 : 8', 'b ) 15 : 8', 'c ) 27 : 8', 'd ) 8 : 9', 'e ) 8 : 15']
Output: c
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 ? 
Options: a ) s . 3944 , b ) s . 3948 , c ) s . 3942 , d ) s . 3808 , e ) s . 3929
Output: d
Problem: if n is the smallest integer such that 432 times n is the square of an integer , what is the value of n ? 
Options: ['a ) 2', 'b ) 3', 'c ) 6', 'd ) 12', 'e ) 24']
Output: b
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 
Options: a ) 3 cm , b ) 4 cm , c ) 6 cm , d ) 7 cm , e ) none
Output: d
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 ? 
Options: a ) 6 / π , b ) 9 / π , c ) 6 , d ) 9 , e ) 12
Output: d
Problem: how many cones of radius 4 m , height 2 m can be formed from a cylinder of 12 m radius , 10 m height : 
Options: ['a ) 135', 'b ) 125', 'c ) 145', 'd ) 115', 'e ) 155']
Output: a
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 ? 
Options: a ) 2 , b ) 7 , c ) 5 , d ) 3 , e ) 4
Output: a
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 ? 
Options: ['a ) 40', 'b ) 45', 'c ) 50', 'd ) 55', 'e ) 60']
Output: c
Problem: the largest two digit number which is a perfect cube , is : 
Options: a ) 25 , b ) 36 , c ) 49 , d ) 64 , e ) 81
Output: d
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 ? 
Options: a ) 32 . , b ) 40 . , c ) 42 . , d ) 44 . , e ) 46 .
Output: a
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 ? 
Options: a ) 28 , b ) 36 , c ) 40 , d ) 56 , e ) 64
Output: c
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 . 
Options: ['a ) 9', 'b ) 7', 'c ) 4', 'd ) 8', 'e ) 6']
Output: c
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 
Options: a ) 0.005 , b ) 0.002 , c ) 0.001 , d ) 0.0005 , e ) 0.0002
Output: a
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 ? 
Options: a ) 5 , b ) 15 , c ) 25 , d ) 35 , e ) 45
Output: c
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 . 
Options: a ) 33 , b ) 88 , c ) 48 , d ) 77 , e ) 27
Output: c
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 ? 
Options: a ) 75 , b ) 80 , c ) 85 , d ) 90 , e ) 95
Output: b
Problem: find the surface area of a 8 cm x 4 cm x 2 cm brick . 
Options: a ) 136 cu cm , b ) 112 cu cm , c ) 164 cu cm , d ) 180 cu cm , e ) none
Output: b
Problem: find the smallest number that must be added to 1780 to make it a perfect square . 
Options: a ) 17 , b ) 42 , c ) 69 , d ) 47 , e ) 52
Output: c
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 ? 
Options: a ) 2 √ 2 , b ) 4 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: b
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 ? 
Options: a ) 20 , b ) 22 , c ) 24 , d ) 26 , e ) 28
Output: b
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 ? 
Options: a ) 50 % , b ) 87 % , c ) 100 % , d ) 187 % , e ) 200 %
Output: c
Problem: how many 2 - inch by 3 - inch rectangular tiles are required to tile this shaded region ? 
Options: ['a ) less than 10', 'b ) 10 — 100', 'c ) 101 — 1,000', 'd ) 1,001 — 1,500', 'e ) 1,500 +']
Output: e
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 ? 
Options: a ) 10 : 17 , b ) 2 : 5 , c ) 5 : 16 , d ) 25 : 7 , e ) 2 : 3
Output: e
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 ? 
Options: ['a ) 5', 'b ) 10', 'c ) 15', 'd ) 20', 'e ) 25']
Output: e
Problem: find the area of the quadrilateral of one of its diagonals is 50 cm and its off sets 10 cm and 8 cm ? 
Options: a ) 189 cm 2 , b ) 150 cm 2 , c ) 127 cm 2 , d ) 450 cm 2 , e ) 187 cm 2
Output: d
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 ? 
Options: ['a ) 2898 sq m', 'b ) 1788 sq m', 'c ) 4312 sq m', 'd ) 7656 sq m', 'e ) 1786 sq m']
Output: c
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 . 
Options: a ) 40 , b ) 70 , c ) 20 , d ) 80 , e ) 60
Output: c
Problem: what is the ratio between perimeters of two squares one having 2.5 times the diagonal then the other ? 
Options: a ) 4 : 5 , b ) 1 : 3 , c ) 2.5 : 1 , d ) 3.5 : 1 , e ) 3 : 2
Output: c
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 ? 
Options: a ) 400 , b ) 1550 , c ) 1575 , d ) 1600 , e ) 1625
Output: c
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 ? 
Options: a ) 1 / 9 , b ) 1 / 8 , c ) 1 / 6 , d ) 1 / 5 , e ) 1 / 3
Output: a
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 ? 
Options: a ) 19 , b ) 20 , c ) 21 , d ) 22 , e ) 23
Output: c
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 ? 
Options: ['a ) 488', 'b ) 429', 'c ) 418', 'd ) 480', 'e ) 410']
Output: d
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 ? 
Options: a ) 29960 sq m , b ) 26950 sq m , c ) 43120 sq m , d ) 27680 sq m , e ) 27786 sq m
Output: b
Problem: if the radius of a circle is diminished by 10 % , then the area is diminished by : 
Options: a ) 200 % , b ) 210 % , c ) 300 % , d ) 310 % , e ) none of these
Output: c
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 ? 
Options: a ) 1 / 6 , b ) 1 / 5 , c ) 2 / 9 , d ) 1 / 3 , e ) 2 / 5
Output: c
Problem: the ratio of the radius of two circles is 2 : 3 , and then the ratio of their areas is ? 
Options: ['a ) 1 : 7', 'b ) 2 : 9', 'c ) 4 : 9', 'd ) 3 : 7', 'e ) 3 : 4']
Output: c
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 . 
Options: ['a ) 50', 'b ) 30', 'c ) 20', 'd ) 40', 'e ) 10']
Output: a
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 . 
Options: ['a ) 5 : 46', 'b ) 5 : 44', 'c ) 4 : 48', 'd ) 5 : 48', 'e ) 5 : 4']
Output: d
Problem: find the sum of divisors of 544 which are perfect squares 
Options: ['a ) 21', 'b ) 22', 'c ) 23', 'd ) 24', 'e ) 25']
Output: a
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 ? 
Options: ['a ) 90 °', 'b ) 135 °', 'c ) 216 °', 'd ) 240 °', 'e ) 270 °']
Output: c
Problem: find the perimeter and area of a square of side 11 cm . 
Options: a ) 11 cm ² , b ) 21 cm ² , c ) 22 cm ² , d ) 113 cm ² , e ) 121 cm ²
Output: e
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 : 
Options: a ) 6 , b ) 2 , c ) 8 , d ) 9 , e ) 7
Output: d
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 
Options: a ) 2 , b ) 5 , c ) 6 , d ) 7 , e ) 14
Output: e
Problem: the length and breadth of a rectangle is increased by 10 % and 30 % respectively . what is the increase in the area ? 
Options: a ) 43.0 , b ) 44.0 , c ) 43.5 , d ) 45.0 , e ) 42.0
Output: a
Problem: if the sum of a number and its square is 306 , what is the number ? 
Options: a ) 16 , b ) 77 , c ) 25 , d ) 17 , e ) 171
Output: d
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 . 
Options: ['a ) 77 cm', 'b ) 88 cm', 'c ) 64 cm', 'd ) 11 cm', 'e ) 18 cm']
Output: c
Problem: the total surface area of a solid hemisphere of diameter 14 cm , is : 
Options: ['a ) 462 cm ²', 'b ) 530 cm ²', 'c ) 1345 cm ²', 'd ) 1788 cm ²', 'e ) none']
Output: a
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 ? 
Options: ['a ) 2520', 'b ) 2510', 'c ) 2525', 'd ) 2025', 'e ) 2020']
Output: a
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 ? 
Options: ['a ) 12', 'b ) 15', 'c ) 10', 'd ) 8', 'e ) 14']
Output: a
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 — 
Options: ['a ) 1 : √ 2', 'b ) √ 2 ∶ 1', 'c ) 1 : 2', 'd ) 2 : 1', 'e ) none of these']
Output: b
Problem: the areas of the two spheres are in the ratio 1 : 4 . the ratio of their volume is ? 
Options: ['a ) 1 : 4', 'b ) 1 : 16', 'c ) 1 : 8', 'd ) 1 : 64', 'e ) 2 : 3']
Output: c
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 ? 
Options: a ) 38 . , b ) 40 . , c ) 42 . , d ) 48 . , e ) 46 .
Output: d
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 % ? 
Options: a ) 125 % , b ) 150 % , c ) 100 % , d ) 90 % , e ) 85 %
Output: a
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 ) 
Options: a ) 3 , 400,000 , b ) 2 , 800,000 , c ) 55,000 , d ) 28,000 , e ) 280
Output: a
Problem: what is the smallest positive integer x , such that 1944 x is a perfect cube ? 
Options: a ) 4 , b ) 3 , c ) 8 , d ) 12 , e ) 18
Output: b
Problem: the volume of a cube is 729 cc . find its surface . 
Options: a ) 486 , b ) 556 , c ) 255 , d ) 287 , e ) 267
Output: a
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 . 
Options: a ) 17 , b ) 18 , c ) 19 , d ) 20 , e ) 21
Output: a
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 ? 
Options: ['a ) 100 < v < 300', 'b ) 300 < v < 500', 'c ) 500 < v < 700', 'd ) 700 < v < 900', 'e ) 900 < v < 1100']
Output: c
Problem: sides of a triangle are 13 cm . 14 cm . and 15 cm . respectively . calculate the area of triangle . 
Options: ['a ) 80', 'b ) 82', 'c ) 84', 'd ) 86', 'e ) 88']
Output: c
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 . 
Options: a ) 5 : 28 , b ) 5 : 19 , c ) 15 : 12 , d ) 5 : 13 , e ) 15 : 46
Output: e
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 : 
Options: ['a ) 720', 'b ) 900', 'c ) 1200', 'd ) 1800', 'e ) 2100']
Output: c
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 ? 
Options: ['a ) 18', 'b ) 56', 'c ) 40', 'd ) 36', 'e ) 64']
Output: d
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 ? 
Options: a ) 2812 , b ) 8231 , c ) 2734 , d ) 4222 , e ) 4254
Output: a
Problem: if the volume of two cubes are in the ratio 8 : 1 , the ratio of their edges is : 
Options: ['a ) 2 : 1', 'b ) 3 : 2', 'c ) 3 : 5', 'd ) 3 : 7', 'e ) none of these']
Output: a
Problem: the area of sector of a circle whose radius is 12 metro and whose angle at the center is 54 â ° is ? 
Options: a ) 52.6 , b ) 52.9 , c ) 67.9 , d ) 52.1 , e ) 52.2
Output: c
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 ) 
Options: a ) 288 , b ) 2302 , c ) 2304 , d ) 8640 , e ) 964
Output: c
Problem: find the smallest number which should be multiplied with 560 to make it a perfect square . 
Options: a ) 60 , b ) 55 , c ) 45 , d ) 25 , e ) 35
Output: e
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 ? 
Options: a ) 160 , b ) 240 , c ) 360 , d ) 495 , e ) 560
Output: d
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 . 
Options: ['a ) 10 and 3', 'b ) 7 and 10', 'c ) 10 and 7', 'd ) 3 and 10', 'e ) 13 and 10']
Output: e
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 ? 
Options: ['a ) 46', 'b ) 81', 'c ) 126', 'd ) 252', 'e ) none of these']
Output: c
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 ? 
Options: a ) 11 , b ) 17 , c ) 18 , d ) 21 , e ) 1322
Output: d
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 ? 
Options: a ) 10 , b ) 30 , c ) 15 , d ) 20 , e ) 25
Output: c
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 ? 
Options: a ) 25 , b ) 23 , c ) 32 , d ) 30 , e ) 18
Output: d
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 ? 
Options: a ) 14 , b ) 47 , c ) 70 , d ) 180 , e ) 240
Output: c
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 
Options: ['a ) 76', 'b ) 55', 'c ) 44', 'd ) 12', 'e ) 91']
Output: d
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 ? 
Options: a ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) 25
Output: b
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 ? 
Options: a ) 10000 , b ) 50000 , c ) 80000 , d ) 85000 , e ) 90000
Output: b
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 : 
Options: a ) 16 , b ) 5 , c ) 4 , d ) 2 , e ) 1
Output: b