niryuu/sni-each-converted huggingface dataset:
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 ? 
Options: ['a ) 4000', 'b ) 10000', 'c ) 20000', 'd ) 35000', 'e ) 45000']
Output: d
Problem: the ratio of the volumes of two cubes is 512 : 729 . what is the ratio of their total surface areas ? 
Options: a ) 1 : 22 , b ) 81 : 12 , c ) 41 : 46 , d ) 41 : 19 , e ) 84 : 12
Output: c
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 . 
Options: a ) 12 , b ) 5 , c ) 14 , d ) 11 , e ) 15
Output: b
Problem: the diagonals of a rhombus are 16 cm and 20 cm . find its area ? 
Options: a ) 160 , b ) 288 , c ) 150 , d ) 238 , e ) 31
Output: a
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 ) ? 
Options: a ) 56 , b ) 88 , c ) 70 , d ) 116 , e ) 120
Output: c
Problem: the diameters of two spheres are in the ratio 1 : 2 what is the ratio of their surface area ? 
Options: ['a ) 1 : 0', 'b ) 1 : 4', 'c ) 1 : 6', 'd ) 1 : 2', 'e ) 1 : 1']
Output: b
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 ? 
Options: a ) 80 , b ) 82.5 , c ) 78.5 , d ) 75.5 , e ) 74
Output: b
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 ? 
Options: a ) 1.5 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: e
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 . 
Options: ['a ) 8', 'b ) 16', 'c ) 24', 'd ) 32', 'e ) 48']
Output: b
Problem: if the area of a circle decreases by 20 % , then the radius of a circle decreases by 
Options: ['a ) 20 %', 'b ) 18 %', 'c ) 36 %', 'd ) 11 %', 'e ) none of these']
Output: d
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 ? 
Options: a ) 18 square inches , b ) 20 square inches , c ) 24 square inches , d ) 28 square inches , e ) 30 square inches
Output: b
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 ? 
Options: a ) 6350 , b ) 7357 , c ) 6328 , d ) 6750 , e ) 7560
Output: d
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 
Options: a ) 4 , b ) 5 , c ) 7 , d ) 8 , e ) 9
Output: a
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 ? 
Options: a ) 4 / 5 , b ) 6 / 7 , c ) 5 / 8 , d ) 7 / 9 , e ) 9 / 10
Output: b
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 ) ? 
Options: a ) 28.28 cm , b ) 25.45 cm , c ) 26.45 cm , d ) 20.18 cm , e ) 32.14 cm
Output: a
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 ? 
Options: a ) 20 , b ) 30 , c ) 40 , d ) 60 , e ) 65
Output: d
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 ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Output: d
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 . 
Options: ['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
Problem: the product of the squares of two positive integers is 400 . how many pairs of positive integers satisfy this condition ? 
Options: ['a ) 0', 'b ) 1', 'c ) 2', 'd ) 3', 'e ) 4']
Output: d
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 ? 
Options: a ) 5 : 1 , b ) 10 : 1 , c ) 25 : 1 , d ) 50 : 1 , e ) 150 : 1
Output: c
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 . 
Options: a ) 3.5 % , b ) 2.4 % , c ) 3 % , d ) 5 % , e ) 2.6 %
Output: e
Problem: what is the angle between the hands of a clock when time is 8 : 30 ? 
Options: a ) 65 deg , b ) 75 deg , c ) 45 deg , d ) 15 deg , e ) 30 deg
Output: b
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 ? 
Options: ['a ) 4', 'b ) 4 π', 'c ) 16', 'd ) 8 π', 'e ) 16']
Output: b
Problem: find the area of a parallelogram with base 24 cm and height 12 cm ? 
Options: a ) 297 cm 2 , b ) 384 cm 2 , c ) 672 cm 2 , d ) 267 cm 2 , e ) 288 cm 2
Output: e
Problem: if a number is subtracted from its square we get 272 . find the number ? 
Options: ['a ) 7', 'b ) 21', 'c ) 19', 'd ) 15', 'e ) 17']
Output: e
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 . 
Options: a ) 25 % , b ) 19.23 % , c ) 40 % , d ) 75 % , e ) none of these
Output: b
Problem: how many pieces can a square pizza be cut into by making 6 linear cuts ? 
Options: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24
Output: c
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 ? 
Options: a ) 2 , b ) 4 , c ) 8 , d ) 16 , e ) none of the above
Output: d
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 ? 
Options: a ) 6 cm , b ) 12.05 cm , c ) 11.25 cm , d ) 15.12 cm , e ) 20.62 cm
Output: b
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 ? 
Options: a ) 289 cm , b ) 200 cm , c ) 829 cm , d ) 288 cm , e ) 289 cm
Output: b
Problem: the side of a square is increased by 20 % then how much % does its area increases ? 
Options: a ) 44.00 % , b ) 45.25 % , c ) 48.75 % , d ) 50.00 % , e ) 40.00 %
Output: a
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 . ) 
Options: a ) 7 , b ) 14 , c ) 42 , d ) 49 , e ) 98
Output: d
Problem: what positive number , when squared , is equal to the cube of the positive square root of 15 ? 
Options: a ) 64 , b ) 32 , c ) 8 , d ) 6 , e ) 2
Output: d
Problem: the surface of a cube is 24 sq cm . find its volume ? 
Options: a ) 8 , b ) 6 , c ) 4 , d ) 3 , e ) 1
Output: a
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 ? 
Options: a ) 140 , b ) 240 , c ) 340 , d ) 144 , e ) 122
Output: d
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 ? 
Options: ['a ) a ) rs . 3944', 'b ) b ) rs . 3948', 'c ) c ) rs . 3519.5', 'd ) d ) rs . 3949', 'e ) e ) rs . 3923']
Output: c
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 ? 
Options: a ) 54 , b ) 432 , c ) 864 , d ) 2,916 , e ) 148,824
Output: c
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 ? 
Options: a ) 11 , b ) 17 , c ) 18 , d ) 101 , e ) 1322
Output: a
Problem: the area of sector of a circle whose radius is 12 metro and whose angle at the center is 41 ° is ? 
Options: a ) 49 m 2 , b ) 50 m 2 , c ) 51.5 m 2 , d ) 53 m 2 , e ) 59 m 2
Output: c
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 ? 
Options: a ) 14 , b ) 52 , c ) 54 , d ) 180 , e ) 240
Output: b
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 . 
Options: a ) 330 , b ) 770 , c ) 660 , d ) 100 , e ) 600
Output: c
Problem: the ratio of the volumes of two cubes is 729 : 1331 . what is the ratio of their total surface areas ? 
Options: a ) 81 : 121 , b ) 81 : 126 , c ) 81 : 189 , d ) 81 : 176 , e ) 81 : 117
Output: a
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 ? 
Options: a ) 12 by 2 , b ) 11 by 3 , c ) 10.5 by 3.5 , d ) 10 by 4 , e ) 9 by 3
Output: d
Problem: a 6 by 8 rectangle is inscribed in circle . what is the circumference of the circle ? 
Options: a ) 5 π , b ) 10 π , c ) 15 π , d ) 20 π , e ) 25 π
Output: b
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 ? 
Options: ['a ) 0.125', 'b ) 0.25', 'c ) 0.5', 'd ) 0.75', 'e ) not enough information to determine the rate']
Output: e
Problem: what is the area of square field whose side of length 10 m ? 
Options: a ) 100 , b ) 662 , c ) 772 , d ) 882 , e ) 21
Output: a
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 : 
Options: a ) 16 , b ) 4.5 , c ) 4 , d ) 2 , e ) 1
Output: b
Problem: the perimeter of one face of a cube is 32 cm . its volume will be : 
Options: a ) 125 cm 3 , b ) 400 cm 3 , c ) 512 cm 3 , d ) 625 cm 3 , e ) none of these
Output: c
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 ? 
Options: ['a ) 360 cc', 'b ) 60 cc', 'c ) 300 cc', 'd ) 36 cc', 'e ) 39 cc']
Output: a
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 ? 
Options: a ) 11 , b ) 16 , c ) 15 , d ) 14 , e ) 13
Output: a
Problem: two isosceles triangles have equal vertical angles and their areas are in the ratio 9 : 25 . find the ratio of their corresponding heights . 
Options: a ) 4 / 5 , b ) 5 / 4 , c ) 3 / 2 , d ) 5 / 7 , e ) 3 / 5
Output: e
Problem: the product of the squares of two positive integers is 100 . how many pairs of positive integers satisfy this condition ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Output: c
Problem: the perimeter of an isosceles right triangle is 14 + 14 sq rt 2 . what is the length of the hypotenuse of the triangle ? 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9.899
Output: e
Problem: if the circumference of a circle increases from 4 pi to 8 pi , what change occurs in the area ? 
Options: ['a ) area is quadrupled', 'b ) area is tripled', 'c ) area is doubles', 'd ) area become half', 'e ) none of these']
Output: a
Problem: the area of a triangle is with base 18 m and height 6 m ? 
Options: a ) 88 m 2 , b ) 10 m 2 , c ) 66 m 2 , d ) 54 m 2 , e ) 31 m 2
Output: d
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 
Options: ['a ) 2', 'b ) 5', 'c ) 6', 'd ) 7', 'e ) 14']
Output: e
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 ? 
Options: ['a ) 5', 'b ) 4', 'c ) 3', 'd ) 2', 'e ) 1']
Output: c
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 ? 
Options: a ) 8 , b ) 9 , c ) 7 , d ) 10 , e ) 5
Output: d
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 ? 
Options: a ) 225 , b ) 525 , c ) 25 √ 2 , d ) 200 , e ) 200 √ 2
Output: b
Problem: find the curved surface area , if the radius of a cone is 28 m and slant height is 30 m ? 
Options: a ) 2550 , b ) 2640 , c ) 3960 , d ) 4280 , e ) 5490
Output: b
Problem: the length of each side of an equilateral triangle having an area of 4 â ˆ š 3 cm 2 is ? 
Options: ['a ) 4 / 3 cm', 'b ) 3 / 4 cm', 'c ) 3 cm', 'd ) 4 cm', 'e ) 5 cm']
Output: d
Problem: the length of rectangle is thrice its breadth and its perimeter is 64 m , find the area of the rectangle ? 
Options: a ) 432 sq m , b ) 192 sq m , c ) 452 sq m , d ) 428 sq m , e ) 528 sq m
Output: b
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 . 
Options: a ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) 25
Output: d
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 ? 
Options: ['a ) 1', 'b ) 3 / 2', 'c ) 2', 'd ) 3', 'e ) 6']
Output: d
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 ? 
Options: a ) a . 40 , b ) b . 100 , c ) c . 400 , d ) d . 1,000 , e ) e . 10,000
Output: b
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 ? 
Options: ['a ) 8.76', 'b ) 8.79', 'c ) 8.75', 'd ) 8.74', 'e ) 8.72']
Output: c
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 . 
Options: a ) 180 cm , b ) 220 cm , c ) 240 cm , d ) 270 cm , e ) 300 cm
Output: a
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 ? 
Options: ['a ) 3000', 'b ) 900', 'c ) 1800', 'd ) 360', 'e ) none of these']
Output: c
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 ? 
Options: a ) 53 , b ) 66 , c ) 60 , d ) 85 , e ) 80
Output: e
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 ? 
Options: ['a ) 100', 'b ) 169', 'c ) 324', 'd ) 196', 'e ) 225']
Output: c
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 ? 
Options: ['a ) 5', 'b ) 4', 'c ) 7', 'd ) 2', 'e ) 1']
Output: d
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 ? 
Options: a ) 54 , b ) 600 , c ) 81 , d ) 108 , e ) 120
Output: b
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 ? 
Options: a ) 25 cm , b ) 35 cm , c ) 30 cm , d ) 45 cm , e ) 55 cm
Output: b
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 ? 
Options: a ) 32 m 3 , b ) 36 m 3 , c ) 40 m 3 , d ) 44 m 3 , e ) 301.6
Output: e
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 . 
Options: ['a ) rs . 4233', 'b ) rs . 4350', 'c ) rs . 4457', 'd ) rs . 4670', 'e ) rs . 4756']
Output: c
Problem: the sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 480 m , its area is ? 
Options: a ) 150 , b ) 240 , c ) 277 , d ) 261 , e ) 281
Output: b
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 . 
Options: ['a ) 9 / 16', 'b ) 8 / 16', 'c ) 7 / 16', 'd ) 6 / 16', 'e ) 5 / 16']
Output: a
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 : 
Options: a ) 50 , b ) 54 , c ) 47 , d ) 40 , e ) 45
Output: d
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 ? 
Options: ['a ) 26 %', 'b ) 21 %', 'c ) 15 %', 'd ) 18 %', 'e ) 12 %']
Output: b
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 ? 
Options: a ) 144 , b ) 131 , c ) 232 , d ) 90 , e ) 45
Output: c
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 ? 
Options: ['a ) 140 cm', 'b ) 240 cm 2', 'c ) 560 cm 2', 'd ) none of these', 'e ) can not be determined']
Output: a
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 ? 
Options: ['a ) 32 cm', 'b ) 48 cm', 'c ) 50 cm', 'd ) 28 cm', 'e ) 30 cm']
Output: b
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 ? ? 
Options: ['a ) 137 / 216', 'b ) 137 / 218', 'c ) 137 / 217', 'd ) 136 / 216', 'e ) 138 / 216']
Output: a
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 ? 
Options: ['a ) 17', 'b ) 19', 'c ) 21', 'd ) 23', 'e ) 25']
Output: b
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 ? 
Options: ['a ) $ 1', 'b ) $ 2', 'c ) $ 4', 'd ) $ 8', 'e ) $ 16']
Output: e
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 . 
Options: a ) 17.64 % , b ) 33.33 % , c ) 40 % , d ) 75 % , e ) none of these
Output: a
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 ? 
Options: a ) 12 , b ) 10 , c ) 8 , d ) 14 , e ) 16
Output: c
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 : 
Options: a ) 1 : 9 , b ) 1 : 225 , c ) 1 : 52 , d ) 1 : 522 , e ) none
Output: a
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 
Options: ['a ) 25 : 16', 'b ) 24 : 25', 'c ) 5 : 6', 'd ) 4 : 5', 'e ) 4 : 9']
Output: b
Problem: in the coordinate plane , a circle centered on point ( - 3 , - 4 ) passes through point ( 1 , 2 ) . what is the area of the circle ? 
Options: a ) 9 π , b ) 18 π , c ) 25 π , d ) 37 π , e ) 52 π
Output: e
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 . 
Options: ['a ) 40 m 3', 'b ) 42 m 3', 'c ) 44 m 3', 'd ) 46 m 3', 'e ) none of these']
Output: c
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 ) ? 
Options: a ) 56 , b ) 88 , c ) 112 , d ) 116 , e ) 120
Output: e
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 ? 
Options: ['a ) 27', 'b ) 36', 'c ) 42', 'd ) 64', 'e ) 147']
Output: b
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 ? 
Options: a ) 154 cm 2 , b ) 308 m 2 , c ) 227 m 2 , d ) 407 m 2 , e ) none of these
Output: c
Problem: find the smallest number which should be multiplied with 520 to make it a perfect square . 
Options: a ) 30 , b ) 120 , c ) 55 , d ) 35 , e ) none of these
Output: e
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 ? 
Options: ['a ) 38 .', 'b ) 40 .', 'c ) 42 .', 'd ) 44 .', 'e ) 45 .']
Output: e
Problem: the ratio of the areas of a square and rhombus whose base is same is : 
Options: a ) 1 : 2 , b ) 2 : 1 , c ) 1 : 1 , d ) 3 : 1 , e ) 2 : 3
Output: c
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 : 
Options: a ) 4120 m cube , b ) 4140 m cube , c ) 5140 m cube , d ) 5120 m cube , e ) none of these
Output: d
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 : 
Options: a ) 124 m 2 , b ) 126 m 2 , c ) 136 m 2 , d ) 158 m 2 , e ) none of these
Output: c
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 ? 
Options: a ) 50 , b ) 51 , c ) 52 , d ) 53 , e ) 54
Output: d
Problem: how many internal diagonals does a nonagon ( nine sided polygon ) have ? 
Options: a ) 25 , b ) 27 , c ) 40 , d ) 56 , e ) 80
Output: b
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 ? 
Options: a ) 18 square inches , b ) 20 square inches , c ) 24 square inches , d ) 28 square inches , e ) 30 square inches
Output: d
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 ? 
Options: a ) 100 pi , b ) 144 pi , c ) 196 pi , d ) 256 pi , e ) 78
Output: d
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 ? 
Options: ['a ) 1100', 'b ) 1200', 'c ) 1300', 'd ) 1400', 'e ) 1500']
Output: b
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 ? 
Options: a ) 48 , b ) 56 , c ) 64 , d ) 76 , e ) 192
Output: c
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 ? 
Options: a ) 1 : 6 , b ) 1 : 11 , c ) 2 : 5 , d ) 1 : 8 , e ) 3 : 11
Output: b
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 ? 
Options: a ) 4 % , b ) 25 % , c ) 50 % , d ) 200 % , e ) 400 %
Output: a
Problem: the ratio of the volumes of two cubes is 27 : 125 . what is the ratio of their total surface areas ? 
Options: a ) 9 : 25 , b ) 9 : 35 , c ) 81 : 124 , d ) 81 : 126 , e ) 81 : 129
Output: a
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 : 
Options: a ) 40 , b ) 15 , c ) 25 , d ) 32 , e ) 45
Output: c
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 ? 
Options: a ) 10 metres , b ) 5 metres , c ) 7.5 metres , d ) data inadequate , e ) none of these
Output: a
Problem: what is the area of an equilateral triangle whose one side length is 70 ? 
Options: a ) 825 √ 3 , b ) 925 √ 3 , c ) 1025 √ 3 , d ) 1125 √ 3 , e ) 1225 √ 3
Output: e
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 ? 
Options: ['a ) 5 / 12', 'b ) 2 / 5', 'c ) 0.5451', 'd ) 3 / 4', 'e ) 5 / 6']
Output: c
Problem: if each side of a rectangle is increased by 100 % , by what % the area increases ? 
Options: ['a ) 100 %', 'b ) 200 %', 'c ) 250 %', 'd ) 300 %', 'e ) 400 %']
Output: d
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 ? 
Options: a ) 80 , b ) 75 , c ) 70 , d ) 60 , e ) 65
Output: e
Problem: find the area of a rhombus one side of which measures 20 cm and one diagonal is 28 cm . 
Options: ['a ) 200 cm 2', 'b ) 300 cm 2', 'c ) 400 cm 2', 'd ) 448 cm 2', 'e ) 100 cm 2']
Output: d
Problem: the ratio of the area of a square to that of the square drawn on its diagonal is ? 
Options: ['a ) 2 : 5', 'b ) 3 : 4', 'c ) 3 : 5', 'd ) 1 : 2', 'e ) 2 : 3']
Output: d
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 ? 
Options: ['a ) 9', 'b ) 6', 'c ) 4', 'd ) 3', 'e ) 2']
Output: d
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 ? 
Options: a ) 22 % , b ) 32 % , c ) 34 % , d ) 64 % , e ) 36 %
Output: d
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 ? 
Options: a ) 1 , b ) 2 , c ) 4 , d ) 8 , e ) 16
Output: d
Problem: the area of sector of a circle whose radius is 12 metro and whose angle at the center is 30 еў is ? 
Options: a ) 35 m 2 , b ) 36 m 2 , c ) 37 m 2 , d ) 38 m 2 , e ) 40 m 2
Output: c
Problem: the diagonal of a rhombus are 62 m and 80 m . its area is : 
Options: a ) 1940 , b ) 2480 , c ) 2460 , d ) 2500 , e ) 1980
Output: b
Problem: what is the maximum number of pieces that a circular pizza can be cut into with 6 linear cuts ? 
Options: ['a ) 12', 'b ) 13', 'c ) 16', 'd ) 20', 'e ) 22']
Output: e
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 ? 
Options: ['a ) 19 m', 'b ) 17 m', 'c ) 10 m', 'd ) 12 m', 'e ) 18 m']
Output: b
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 ? 
Options: ['a ) 22', 'b ) 20', 'c ) 9', 'd ) 8', 'e ) 1']
Output: b
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 : 
Options: a ) 3780 , b ) 5120 , c ) 6420 , d ) 8960 , e ) 7960
Output: a
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 ? 
Options: a ) 107 , b ) 60 , c ) 70 , d ) 89 , e ) 78
Output: b
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 . 
Options: ['a ) 2,000', 'b ) 1,800', 'c ) 1,900', 'd ) 1,700', 'e ) none of these']
Output: c
Problem: the diagonals of a rhombus are 12 cm and 10 cm . find its area ? 
Options: a ) 158 , b ) 129 , c ) 150 , d ) 123 , e ) 60
Output: e
Problem: how many odd numbers between 10 and 1500 are the squares of integers ? 
Options: a ) 11 , b ) 14 , c ) 17 , d ) 20 , e ) 23
Output: c
Problem: the area of a triangle is with base 4 m and height 6 m ? 
Options: a ) 11 m 2 , b ) 10 m 2 , c ) 18 m 2 , d ) 19 m 2 , e ) 12 m 2
Output: e
Problem: a 45 ° - 45 ° - 90 ° right triangle has hypotenuse of length h . what is the area of the triangle t in terms of h ? 
Options: ['a ) h / √ 2', 'b ) h / 2', 'c ) h / 4', 'd ) ( h ) ^ 2', 'e ) ( h ) ^ 2 / 4']
Output: e
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 ? 
Options: a ) 2387 , b ) 1298 , c ) 1128 , d ) 1237 , e ) 1200
Output: e
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 ? 
Options: ['a ) 4 cm', 'b ) 8 cm', 'c ) 16 cm', 'd ) 24 cm', 'e ) none of the above']
Output: a
Problem: if the height of a cone is increased by 120 % then its volume is increased by ? 
Options: a ) 100 , b ) 777 , c ) 998 , d ) 729 , e ) 120
Output: e
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 ? 
Options: a ) 110 , b ) 1100 , c ) 9900 , d ) 10000 , e ) 12100
Output: c
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 ? 
Options: ['a ) 32', 'b ) 36', 'c ) 704', 'd ) 46', 'e ) 104']
Output: c
Problem: the area of a triangle is with base 10 m and height 5 m ? 
Options: a ) 11 , b ) 25 , c ) 787 , d ) 122 , e ) 12
Output: b
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 : 
Options: ['a ) 15 cm', 'b ) 20 cm', 'c ) 25 cm', 'd ) 30 cm', 'e ) none of these']
Output: d
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 ? 
Options: a ) 160 , b ) 240 , c ) 385 , d ) 440 , e ) 560
Output: c
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 ? 
Options: a ) 54 , b ) 36 , c ) 75 , d ) 28 , e ) 11
Output: b
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 : 
Options: a ) 4830 , b ) 5120 , c ) 4608 , d ) 7500 , e ) 8960
Output: c
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 ? 
Options: a ) 6 , b ) 10 , c ) 15 , d ) 40 , e ) 21
Output: e
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 ) ? 
Options: ['a ) 4', 'b ) 8', 'c ) 16', 'd ) 32', 'e ) 64']
Output: c
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 ? 
Options: a ) 2 min , b ) 4 min , c ) 5 min , d ) 3 min , e ) 3.5 min
Output: d
Problem: the length of a rectangle is increased by 40 % while its width is halved . what is the % change in area ? 
Options: ['a ) 25 %', 'b ) 30 %', 'c ) 50 %', 'd ) 65 %', 'e ) 70 %']
Output: b
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 ) 34 , b ) 35 , c ) 56 , d ) 67 , e ) 23.57
Output: e
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 ? 
Options: a ) s . 3988 , b ) s . 3900 , c ) s . 3228 , d ) s . 4200 , e ) s . 3928
Output: d
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 ? 
Options: a ) 32 , b ) 456 , c ) 40 , d ) 46 , e ) 104
Output: b
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 ) 
Options: ['a ) 14', 'b ) 28', 'c ) 42', 'd ) 44', 'e ) 56']
Output: d
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 . 
Options: a ) 2399 , b ) 3888 , c ) 2999 , d ) 5940 , e ) 2888
Output: d
Problem: if the length of the longest chord of a certain circle is 14 , what is the radius of that certain circle ? 
Options: a ) 2.5 , b ) 5 , c ) 10 , d ) 7 , e ) 9
Output: d
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 ? 
Options: a ) 5 , b ) 6 , c ) 10 , d ) 13 , e ) 8
Output: e
Problem: one side of a rectangular field is 16 m and one of its diagonal is 17 m . find the area of the field . 
Options: a ) 100 , b ) 120 , c ) 91.2 , d ) 180 , e ) none
Output: c
Problem: if the sum of a number and its square is 272 , what is the number ? 
Options: a ) 14 , b ) 16 , c ) 19 , d ) 21 , e ) none of these
Output: b
Problem: if y is the smallest positive integer such that 630 multiplied by y is the square of an integer , then y must be 
Options: a ) 20 , b ) 50 , c ) 60 , d ) 70 , e ) 140
Output: d
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 ? 
Options: a ) 2 , b ) 4 , c ) 8 , d ) 16 , e ) none of the above
Output: b
Problem: a rectangle measures 8 cm on length and its diagonal measures 17 cm . what is the perimeter of the rectangle ? 
Options: ['a ) 44 cm', 'b ) 42 cm', 'c ) 46 cm', 'd ) 49 cm', 'e ) 41 cm']
Output: c
Problem: a polygon has 44 diagonals , then the number of its sides are 
Options: ['a ) 11', 'b ) 9', 'c ) 7', 'd ) 5', 'e ) 3']
Output: a
Problem: if the area of a circle decreases by 30 % , then the radius of a circle decreases by 
Options: a ) 20 % , b ) 16 % , c ) 36 % , d ) 64 % , e ) none of these
Output: b
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 ? 
Options: a ) 22 , b ) 30 , c ) 77 , d ) 54 , e ) 23
Output: b
Problem: the ratio of radius of a circle and the side of a square is 2 : 13 . find the ratio of their areas : 
Options: ['a ) 2 : 1', 'b ) 4 : 7', 'c ) 8 : 77', 'd ) 4 : 169', 'e ) none']
Output: d
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 ? 
Options: a ) 28 cm 2 , b ) 27 cm 2 , c ) 29 cm 2 , d ) 25 cm 2 , e ) 35 cm 2
Output: a
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 ? 
Options: a ) 6 : 1 , b ) 12 : 1 , c ) 24 : 1 , d ) 36 : 1 , e ) 72 : 1
Output: d
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 ? 
Options: ['a ) 0.125', 'b ) 0.25', 'c ) 0.5', 'd ) 0.75', 'e ) not enough information to determine the rate']
Output: e
Problem: find the area of a parallelogram with base 20 cm and height 10 cm ? 
Options: ['a ) 290 cm 2', 'b ) 380 cm 2', 'c ) 270 cm 2', 'd ) 280 cm 2', 'e ) 200 cm 2']
Output: e
Problem: a 15 by 20 rectangle is inscribed in circle . what is the circumference of the circle ? 
Options: a ) 5 π , b ) 10 π , c ) 15 π , d ) 20 π , e ) 25 π
Output: e
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 ? 
Options: ['a ) 12', 'b ) 96', 'c ) 50', 'd ) 72', 'e ) 144']
Output: d
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 ? 
Options: a ) 2 feet , b ) 2.5 feet , c ) 3 feet , d ) 4 feet , e ) 5 feet
Output: c
Problem: the side of a square is increased by 10 % then how much % does its area increases ? 
Options: a ) 21 , b ) 56.25 , c ) 50.75 , d ) 42.75 , e ) 52.75
Output: a
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 / 5 , b ) 2 / 7 , c ) 2 / 9 , d ) 3 / 10 , e ) 4 / 11
Output: c
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 ? 
Options: ['a ) 18750 sq . m', 'b ) 37500 sq . m', 'c ) 40000 sq . m', 'd ) 48000 sq . m', 'e ) none of these']
Output: b
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 ? 
Options: a ) 34 , b ) 36 , c ) 16 , d ) 40 , e ) 42
Output: c
Problem: two isosceles triangles have equal vertical angles and their areas are in the ratio 4 : 9 . find the ratio of their corresponding heights . 
Options: ['a ) 4 / 5', 'b ) 5 / 4', 'c ) 3 / 2', 'd ) 5 / 7', 'e ) 2 / 3']
Output: e
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 ? 
Options: a ) 150 cm , b ) 767 cm , c ) 88 cm , d ) 666 cm , e ) 776 cm
Output: a
Problem: if the length of a rectangle is increased by 10 % and the area is unchanged , then its corresponding breadth must be decreased by ? 
Options: ['a ) 9 1 / 19', 'b ) 9 1 / 15', 'c ) 9 1 / 16', 'd ) 9 1 / 11', 'e ) 9 1 / 10']
Output: e
Problem: what is the measure of the radius of the circle that circumscribes a triangle whose sides measure 2 , 3 and 5 ? 
Options: a ) 2.5 , b ) 3 , c ) 4 , d ) 4.5 , e ) 5
Output: a
Problem: the largest three digit number which is a perfect cube , is : 
Options: a ) 125 , b ) 999 , c ) 343 , d ) 512 , e ) 729
Output: e
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 ? 
Options: a ) 135 , b ) 10 , c ) 15 , d ) 40 , e ) 22
Output: a
Problem: the area of an isosceles trapezoid with sides of length 5 and bases of length 6 and 12 is ? 
Options: a ) 44 , b ) 42 , c ) 40 , d ) 38 , e ) 36
Output: e
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 
Options: a ) 0.005 , b ) 0.002 , c ) 0.001 , d ) 0.0005 , e ) 0.0002
Output: c
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 ? 
Options: ['a ) 72 %', 'b ) 96 %', 'c ) 94 %', 'd ) 84 %', 'e ) 82 %']
Output: d
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 ? 
Options: a ) 152 m 2 , b ) 162 m 2 , c ) 180 m 2 , d ) 300 m 2 , e ) 314 m 2
Output: e
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 
Options: ['a ) π √ \u200b 12', 'b ) 9 / π', 'c ) 9 √ 3 / π', 'd ) 6 √ 3 / π', 'e ) none of these']
Output: c
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 ? 
Options: a ) 48 , b ) 56 , c ) 60 , d ) 56 , e ) 192
Output: d
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 . 
Options: a ) 0.11 % , b ) 0.7 % , c ) 0.4 % , d ) 0.6 % , e ) 0.88 %
Output: e
Problem: what is the area of a square field whose sides have a length of 11 meters ? 
Options: a ) 225 sq m , b ) 205 sq m , c ) 121 sq m , d ) 167 sq m , e ) 156 sq m
Output: c
Problem: the area of a circle is increased by 800 % . by what percent has the diameter of the circle increased ? 
Options: a ) 100 % , b ) 200 % , c ) 300 % , d ) 600 % , e ) 800 %
Output: e
Problem: if each edge of a cube is doubled , then its volume : 
Options: ['a ) becomes 8 times', 'b ) becomes 9 times', 'c ) is double', 'd ) becomes 6 times', 'e ) none']
Output: a
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 ? 
Options: a ) 186 , b ) 192 , c ) 198 , d ) 204 , e ) 210
Output: c
Problem: if the sides of a triangle are 4 cm , 9 cm and 13 cm , what is its area ? 
Options: a ) 18 , b ) 20 , c ) 22 , d ) 26 , e ) 28
Output: a
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 ? 
Options: a ) 354 cm 2 , b ) 380 m 2 , c ) 350 m 2 , d ) 407 m 2 , e ) none of these
Output: b
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 ? 
Options: ['a ) 0.8 inches', 'b ) 1.1 inches', 'c ) 1.6 inches', 'd ) 2.0 inches', 'e ) 2.5 inches']
Output: b
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 : 
Options: a ) 26 , b ) 16 , c ) 18 , d ) 19 , e ) 20
Output: b
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 ? 
Options: a ) 21.5 , b ) 31.5 , c ) 41.5 , d ) 61.5 , e ) 71.5
Output: b