niryuu/sni-each-converted huggingface dataset:
Problem: a goat is tied to one corner of a square plot of side 12 m by a rope 7 m long . find the area it can graze ? 
Options: ['a ) 32', 'b ) 36.5', 'c ) 38.5', 'd ) 39', 'e ) 39.5']
Output: c
Problem: the radius of a circle is increased by 1 % . find how much % does its area increases ? 
Options: ['a ) 2.21 %', 'b ) 2.07 %', 'c ) 2.08 %', 'd ) 2.01 %', 'e ) 2.11 %']
Output: d
Problem: a 12 by 16 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 ) 30 π
Output: d
Problem: if radius of a circle is diminished by 10 % then its area is diminished by 
Options: ['a ) 22', 'b ) 19', 'c ) 877', 'd ) 26', 'e ) 271']
Output: b
Problem: if y is the smallest positive integer such that 8820 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: b
Problem: the slant height of a cone is 15 cm and radius of the base is 3 cm , find the curved surface of the cone ? 
Options: a ) 26 , b ) 134 , c ) 141 , d ) 190 , e ) 28
Output: c
Problem: what is the area of square field whose side of length 18 m ? 
Options: a ) 225 sq m , b ) 186 sq m , c ) 586 sq m , d ) 324 sq m , e ) 296 sq m
Output: d
Problem: the weight of a hollow sphere is directly dependent on its surface area . the surface area of a sphere is 4 π · r ^ 2 , where r is the radius of the sphere . if a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams , a hollow sphere of radius 0.3 cm made of the same metal would weigh how many grams t ? 
Options: a ) t = 16 , b ) t = 32 , c ) t = 64 , d ) 128 , e ) 512
Output: b
Problem: find the area of a parallelogram with base 28 cm and height 32 cm . 
Options: a ) 200 , b ) 384 , c ) 345 , d ) 244 , e ) 896
Output: e
Problem: the height of two right circular cones are in the ratio 1 : 2 and their perimeters of their bases are in the ratio 3 : 4 , the ratio of their volume is ? 
Options: ['a ) 9 : 38', 'b ) 9 : 31', 'c ) 9 : 32', 'd ) 9 : 39', 'e ) 9 : 35']
Output: c
Problem: 2 corner most boxes of a chess board ( diagonally opposite ) haven been cut out there ' s a rectangular block = 2 sqaures of chess board , how many such blocks can be placed on the chess board ? ” 
Options: a ) 27 , b ) 28 , c ) 29 , d ) 30 , e ) 31
Output: d
Problem: in the rectangular coordinate system , points ( 4 , 0 ) and ( – 4 , 0 ) both lie on circle c . what is the maximum possible value of the radius of c 
Options: a ) 2 , b ) 4 , c ) 8 , d ) 16 , e ) none of the above
Output: b
Problem: square a has an area of 81 square centimeters . square b has a perimeter of 32 centimeters . if square b is placed within square a and a random point is chosen within square a , what is the probability the point is not within square b ? 
Options: ['a ) 17 / 64', 'b ) 17 / 81', 'c ) 16 / 25', 'd ) 3 / 5', 'e ) 6 / 25']
Output: b
Problem: right triangle abc is the base of the prism in the figure above . if ab = ac = â ˆ š 10 and the height of the prism is 4 , what is the volume of the prism ? 
Options: a ) 40 , b ) 85 , c ) 20 , d ) 60 , e ) 45
Output: c
Problem: there are 6 equally spaced points a , b , c , d , e and f marked on a circle with radius r . how many convex pentagons of distinctly different areas can be drawn using these points as vertices ? 
Options: ['a ) 6 p 5', 'b ) 1', 'c ) 5', 'd ) none of these', 'e ) can not be determined']
Output: d
Problem: a gardener grows cabbages in her garden that is in the shape of a square . each cabbage takes 1 square feet of area in her garden . this year , she has increased her output by 191 cabbages as compared to last year . the shape of the area used for growing the cabbages has remained a square in both these years . how many cabbages did she produce this year ? 
Options: a ) 7,251 , b ) 8406 , c ) 9216 , d ) 10,348 , e ) can not be determined
Output: c
Problem: the radius of a cylindrical vessel is 7 cm and height is 3 cm . find the whole surface of the cylinder ? 
Options: ['a ) 520 sq cm', 'b ) 840 sq cm', 'c ) 440 sq cm', 'd ) 120 sq cm', 'e ) 5 sq cm']
Output: c
Problem: a cube is painted red on all faces . it is then cut into 27 equal smaller cubes . how many p cubes are painted on only 2 faces ? 
Options: a ) 12 , b ) 8 , c ) 6 , d ) 10 , e ) 16
Output: a
Problem: find the perimeter and area of the rectangle of length 15 cm and breadth 11 cm . 
Options: a ) 71 cm 2 , b ) 121 cm 2 , c ) 165 cm 2 , d ) 171 cm 2 , e ) 221 cm 2
Output: c
Problem: the diagonals of a rhombus are 12 cm and 15 cm . find its area ? 
Options: a ) 30 , b ) 45 , c ) 90 , d ) 120 , e ) 180
Output: c
Problem: if the side length of square b is three times that of square a , the area of square b is how many times the area of square a ? 
Options: a ) 9 , b ) 8 , c ) 6 , d ) 3 , e ) 2
Output: a
Problem: we need to carve out 125 identical cubes from a cube . what is the minimum number of cuts needed ? 
Options: ['a ) 8', 'b ) 9', 'c ) 10', 'd ) 11', 'e ) 12']
Output: e
Problem: a rectangular room has the rectangular shaped rug shown as above figure such that the rug ’ s area is 220 square feet and its length is 12 feet longer than its width . if the uniform width between the rug and room is 12 feet , what is the area of the region uncovered by the rug ( shaded region ) , in square feet ? 
Options: a ) 32 , b ) 1136 , c ) 40 , d ) 1344 , e ) 104
Output: d
Problem: the width of a rectangular hall is ½ of its length . if the area of the hall is 800 sq . m , what is the difference between its length and breadth ? 
Options: a ) 8 m , b ) 10 m , c ) 12 m , d ) 20 m , e ) 17 m
Output: d
Problem: a rectangular grass field is 75 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 5 per sq m ? 
Options: a ) 675 , rs . 3375 , b ) 575 , rs . 1350 , c ) 1350 , rs . 675 , d ) 1450 , rs . 775 , e ) 1550 , rs . 875
Output: a
Problem: the ratio of the radius of two circles is 2 : 5 , and then the ratio of their areas is ? 
Options: a ) 4 : 25 , b ) 2 : 9 , c ) 1 : 9 , d ) 3 : 7 , e ) 3 : 4
Output: a
Problem: the length of a rectangle is two - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 2500 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ? 
Options: a ) 140 , b ) 150 , c ) 160 , d ) 170 , e ) 200
Output: e
Problem: find the area of the quadrilateral of one of its diagonals is 15 cm and its off sets 6 cm and 4 cm ? 
Options: a ) 50 cm 2 , b ) 60 cm 2 , c ) 75 cm 2 , d ) 90 cm 2 , e ) 150 cm 2
Output: c
Problem: right triangle pqr is the base of the prism in the figure above . if pq = pr = â ˆ š 14 and the height of the prism is 8 , what is the volume of the prism ? 
Options: a ) 12 , b ) 45 , c ) 87 , d ) 56 , e ) 23
Output: d
Problem: the length of a rectangular plot is thrice its width . if the area of the rectangular plot is 507 sq meters , then what is the width ( in meters ) of the rectangular plot ? 
Options: a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15
Output: c
Problem: square a has an area of 65 square centimeters . square b has a perimeter of 16 centimeters . if square b is placed within square a and a random point is chosen within square a , what is the probability the point is not within square b ? 
Options: a ) 0.25 , b ) 0.5 , c ) 0.75 , d ) 0.1 , e ) 0.3
Output: c
Problem: if a rectangular billboard has an area of 104 square feet and a perimeter of 42 feet , what is the length of each of the shorter sides ? 
Options: ['a ) 4', 'b ) 7', 'c ) 8', 'd ) 13', 'e ) 26']
Output: c
Problem: the ratio of the radius of two circles is 1 : 9 , and then the ratio of their areas is ? 
Options: a ) 1 : 8 , b ) 1 : 6 , c ) 1 : 9 , d ) 1 : 3 , e ) 1 : 81
Output: e
Problem: a right circular cone is exactly fitted inside a cube in such away that the edges of the base of the cone are touching the edges of one of the faces of the cube and the vertex is on the opposite face of the cube . if the volume of the cube is 343 cc , what approximately is the volume of the cone ? 
Options: ['a ) 80 cc', 'b ) 90 cc', 'c ) 110 cc', 'd ) 105 cc', 'e ) 100 cc']
Output: b
Problem: if the areas of the three adjacent faces of a cuboidal box are 120 cm ² , 72 cm ² and 60 cm ² respectively , then find the volume of the box . 
Options: ['a ) 120 m ³', 'b ) 400 m ³', 'c ) 660 m ³', 'd ) 720 cm m ³', 'e ) none']
Output: d
Problem: what is the area of a square field whose diagonal of length 22 m ? 
Options: a ) 300 sq m , b ) 220 sq m , c ) 200 sq m , d ) 400 sq m , e ) 800 sq m
Output: b
Problem: a volume of 10936 l water is in a container of sphere . how many hemisphere of volume 4 l each will be required to transfer all the water into the small hemispheres ? 
Options: ['a ) 2812', 'b ) 8231', 'c ) 2734', 'd ) 4222', 'e ) 4254']
Output: c
Problem: how much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 19 inches than that of a rectangular sheet of paper measuring 9.5 inches by 11 inches ? 
Options: a ) 50 % , b ) 87 % , c ) 100 % , d ) 187 % , e ) 200 %
Output: c
Problem: what is the area of a square field whose diagonal of length 16 m ? 
Options: a ) 128 , b ) 289 , c ) 200 , d ) 112 , e ) 178
Output: a
Problem: one side of a rectangular field is 4 m and its length along diagonal is 5 m . what is the area of the field ? 
Options: a ) 12 , b ) 27 , c ) 98 , d ) 27 , e ) 29
Output: a
Problem: the parameter of a square is equal to the perimeter of a rectangle of length 36 cm and breadth 20 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) ? 
Options: a ) 23.56 , b ) 23.59 , c ) 44.0 , d ) 23.53 , e ) 23.57
Output: c
Problem: if two sides of a triangle are 6 and 13 , respectively , which of the following could not be the area of this triangle ? 
Options: ['a ) 40', 'b ) 6', 'c ) 17', 'd ) 29', 'e ) 38']
Output: a
Problem: what is the ratio between perimeters of two squares one having 5 times the diagonal then the other ? 
Options: a ) 5 : 1 , b ) 3 : 1 , c ) 5 : 8 , d ) 3 : 2 , e ) 8 : 3
Output: a
Problem: two cubes of tire sides ratio 2 : 3 . find its cube volumes ratio ? 
Options: ['a ) 2 : 27', 'b ) 3 : 27', 'c ) 1 : 27', 'd ) 8 : 27', 'e ) 5 : 27']
Output: d
Problem: the ratio of the volumes of two cubes is 1331 : 2197 . what is the ratio of their total surface areas ? 
Options: a ) 121 : 169 , b ) 169 : 122 , c ) 81 : 124 , d ) 81 : 126 , e ) 81 : 129
Output: a
Problem: the area of a square is equal to twice the area of a rectangle of dimensions 32 cm * 64 cm . what is the perimeter of the square ? 
Options: ['a ) 236', 'b ) 256', 'c ) 456', 'd ) 656', 'e ) 756']
Output: b
Problem: 12 points lie on a circle . how many cyclic quadrilaterals can be drawn by using these points ? 
Options: ['a ) 334', 'b ) 377', 'c ) 495', 'd ) 766', 'e ) 261']
Output: c
Problem: find the perimeter and area of the rectangle of length 15 cm and breadth 13 cm . 
Options: a ) 71 cm 2 , b ) 121 cm 2 , c ) 141 cm 2 , d ) 195 cm 2 , e ) 221 cm 2
Output: d
Problem: the mass of 1 cubic meter of a substance is 700 kilograms under certain conditions . what is the volume , in cubic centimeters , of 1 gram of this substance under these conditions ? ( 1 kilogram = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters ) 
Options: a ) 0.8 , b ) 1.42 , c ) 8.0 , d ) 12.5 , e ) 80.0
Output: b
Problem: the ratio of males to females in a class is 2 : 3 . the career preferences of the students in the class are represented in a circle graph . if the area of the graph allocated to each career preference is proportional to the number of students who have that career preference , how many degrees of the circle should be used to represent a career that is preferred by two - thirds of the males and one - third of the females in the class ? 
Options: a ) 160 , b ) 168 , c ) 191 , d ) 192 , e ) 204
Output: b
Problem: if a rectangular billboard has an area of 120 square feet and a perimeter of 46 feet , what is the length of each of the shorter sides ? 
Options: a ) 4 , b ) 7 , c ) 8 , d ) 13 , e ) 26
Output: c
Problem: the area of a square is equal to nine times the area of a rectangle of dimensions 121 cm * 144 cm . what is the perimeter of the square ? 
Options: a ) 1500 cm , b ) 1800 cm , c ) 1584 cm , d ) 1718 cm , e ) 1086 cm
Output: c
Problem: if the area of a circle is 25 pi square feet , find its circumference . 
Options: a ) 10 pi feet , b ) 28 pi feet , c ) 38 pi feet , d ) 48 pi feet , e ) 58 pi feet
Output: a
Problem: the area of a square is equal to four times the area of a rectangle of dimensions 52 cm * 13 cm . what is the perimeter of the square ? 
Options: a ) 200 , b ) 208 , c ) 210 , d ) 220 , e ) 228
Output: b
Problem: a cylindrical can has a radius of 4 centimeters and a height of 24 centimeters . what is the area , in square centimeters , of a rectangular label that completely covers the curved surface of the can without over - lapping ? 
Options: a ) 16 pi , b ) 64 pi , c ) 96 pi , d ) 192 pi , e ) 576 pi
Output: d
Problem: what is the smallest positive perfect square that is divisible by 12 , 14 , and 42 ? 
Options: a ) 900 , b ) 1089 , c ) 1600 , d ) 1764 , e ) 2025
Output: d
Problem: calculate the area of a triangle , if the sides are 30 cm , 21 cm and 10 cm , what is its area ? 
Options: a ) 145 cm 2 , b ) 105 cm 2 , c ) 125 cm 2 , d ) 115 cm 2 , e ) 135 cm 2
Output: b
Problem: carmen made a sculpture from small pieces of wood . the sculpture is 2 feet 10 inches tall . carmen places her sculpture on a base that is 8 inches tall . how tall are the sculpture andbase together ? 
Options: a ) 3.1 feet , b ) 3.2 feet , c ) 3.3 feet , d ) 3.4 feet , e ) 3.5 feet
Output: e
Problem: a small , rectangular park has a perimeter of 560 feet and a diagonal measurement of 300 feet . what is its area , in square feet ? 
Options: a ) 43,200 , b ) 19,600 , c ) 20,000 , d ) 20,400 , e ) 20,800
Output: a
Problem: a sporting good store sells one type of baseball bat and one type of baseball . the cost for 2 bats and 4 balls is $ 200 . the cost for 1 bat and 6 balls is $ 220 , as well . if someone were to buy an equal number of bats and balls , at most how many bats can he purchase if he has a budget of $ 210 for the purchase ? 
Options: ['a ) 1', 'b ) 2', 'c ) 3', 'd ) 4', 'e ) 5']
Output: c
Problem: a circular ground whose diameter is 35 metres , has a 1.4 metre - broad garden around it . what is the area of the garden in square metres ? 
Options: a ) 160.16 , b ) 6.16 , c ) 122.66 , d ) data inadequate , e ) none of these
Output: a
Problem: consider a right circular cone of base radius 4 and height 10 cm . a cylinder is to be placed inside the cone with one of the flat surface resting on the base of the cone . find the largest possible total surface area ( in sq cm ) of the cylinder . 
Options: ['a ) 100 π / 3', 'b ) 80 π / 3', 'c ) 120 π / 7', 'd ) 130 π / 9', 'e ) 110 π / 7']
Output: a
Problem: in the xy - plane , a triangle has vertices ( 0,0 ) , ( 4,0 ) and ( 4,6 ) . if a point ( a , b ) is selected at random from the triangular region , what is the probability that a - b > 0 ? 
Options: a ) 1 / 5 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 4 / 5
Output: d
Problem: the length of a rectangular field is 7 / 5 its width . if the perimeter of the field is 336 meters , what is the width of the field ? 
Options: a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 90
Output: c
Problem: a white paper 2 inches wide is placed around a rectangular black paper with dimensions 8 inches by 12 inches . what is the area of the white paper , in square inches ? 
Options: ['a ) 96', 'b ) 196', 'c ) 128', 'd ) 144', 'e ) 168']
Output: b
Problem: the cube root of what integer power of 2 is closest to 50 ? 
Options: a ) 16 , b ) 17 , c ) 18 , d ) 19 , e ) 20
Output: b
Problem: the ratio of the areas of two squares , one having double its diagonal then the other is : 
Options: ['a ) 2 : 1', 'b ) 1 : 2', 'c ) 2 : 3', 'd ) 1 : 4', 'e ) 4 : 1']
Output: e
Problem: the area of a square is equal to three times the area of a rectangle of dimensions 15 cm * 5 cm . what is the perimeter of the square ? 
Options: a ) 30 , b ) 80 , c ) 50 , d ) 60 , e ) 70
Output: d
Problem: a metallic sheet is of rectangular shape with dimensions 50 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m 3 ) is : 
Options: a ) 5440 , b ) 5120 , c ) 6420 , d ) 7500 , e ) 8960
Output: a
Problem: the volume of a rectangular swimming pool is 840 cubic meters and water is flowing into the swimming pool . if the surface level of the water is rising at the rate of 0.5 meters per minute , what is the rate t , in cubic meters per minutes , at which the water is flowing into the swimming pool ? 
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 the quadrilateral of one of its diagonals is 40 cm and its off sets 9 cm and 6 cm ? 
Options: ['a ) 189 cm 2', 'b ) 300 cm 2', 'c ) 127 cm 2', 'd ) 177 cm 2', 'e ) 187 cm 2']
Output: b
Problem: if the complement of a certain angle is 7 times the measure of that certain angle , then what is the measure of that certain angle ? 
Options: a ) 45 ° , b ) 30 ° , c ) 22.5 ° , d ) 18 ° , e ) 11.25 °
Output: e
Problem: find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm ? 
Options: ['a ) 600', 'b ) 881', 'c ) 767', 'd ) 261', 'e ) 121']
Output: a
Problem: frank the fencemaker needs to fence in a rectangular yard . he fences in the entire yard , except for one full side of the yard , which equals 40 feet . the yard has an area of 200 square feet . how many feet offence does frank use ? 
Options: a ) 14 , b ) 47 , c ) 50 , d ) 180 , e ) 240
Output: c
Problem: a certain rectangular crate measures 20 feet by 20 feet by 20 feet . a cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces . what should the radius of the tank be if it is to be of the largest possible volume ? 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 8 , e ) 10
Output: e
Problem: a circle graph shows how the budget of a certain company was spent : 61 percent for salaries , 10 percent for research and development , 6 percent for utilities , 5 percent for equipment , 3 percent for supplies , and the remainder for transportation . if the area of each sector of the graph is proportional to the percent of the budget it represents , how many degrees of the circle are used to represent transportation ? 
Options: ['a ) 18 °', 'b ) 36 °', 'c ) 54 °', 'd ) 72 °', 'e ) 90 °']
Output: c
Problem: the ratio of the volumes of two cubes is 729 : 125 . what is the ratio of their total surface areas ? 
Options: a ) 81 : 21 , b ) 81 : 22 , c ) 81 : 24 , d ) 81 : 25 , e ) 81 : 29
Output: d
Problem: abce is an isosceles trapezoid and acde is a rectangle . ab = 10 and ec = 20 . what is the length of ae . 
Options: a ) 5 , b ) 10 , c ) 12 , d ) 15 , e ) 20
Output: b
Problem: a cube has four of its faces painted half red and half white . the other faces are completely painted white . what is the ratio between the red painted areas and the white painted areas of the cube ? 
Options: a ) 1 : 4 , b ) 1 : 3 , c ) 1 : 2 , d ) 2 : 5 , e ) 2 : 11
Output: c
Problem: if length of a rectangle is equal to side of a square and breadth of rectangle is half of length . if area of square is 36 sq . m . calculate the area of rectangle ? 
Options: ['a ) 18', 'b ) 20', 'c ) 27', 'd ) 32', 'e ) 25']
Output: a
Problem: there is a rectangular prism made of 1 in cubes that has been covered in tin foil . there are exactly 128 cubes that are not touching any tin foil on any of their sides . if the width of the figure created by these 128 cubes is twice the length and twice the height , what is the measure m in inches of the width of the foil covered prism ? 
Options: a ) 4 , b ) 6 , c ) 8 , d ) 9 , e ) 10
Output: e
Problem: the cost of the paint is rs . 40.00 per kg . if 1 kg of paint covers 20 sq . ft , how much will it cost to paint outside of a cube having 10 feet each side 
Options: a ) rs . 1200 , b ) rs . 672 , c ) rs . 546 , d ) rs . 876 , e ) none of these
Output: a
Problem: a tailor trims 11 feet from opposite edges of a square piece of cloth , and 7 feet from the other two edges . if 84 square feet of cloth remain , what was the length of a side of the original piece of cloth ? 
Options: a ) 26 , b ) 27 , c ) 28 , d ) 29 , e ) 30
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 3 inches long , how wide is jordan ' s rectangle , in inches ? 
Options: a ) 25 , b ) 43 , c ) 42 , d ) 40 , e ) 18
Output: d
Problem: find the area of a parallelogram with base 26 cm and height 14 cm ? 
Options: a ) 287 cm 2 , b ) 887 cm 2 , c ) 364 cm 2 , d ) 368 cm 2 , e ) 668 cm 2
Output: c
Problem: the length of a rectangle is increased by 45 % and its breadth is decreased by 20 % . what is the effect on its area ? 
Options: a ) 1288 , b ) 1299 , c ) 1000 , d ) 10000 , e ) 11600
Output: e
Problem: a rectangular field is to be fenced on three sides leaving a side of 8 feet uncovered . if the area of the field is 680 sq . ft , how many feet of fencing will be required ? 
Options: a ) 244 ft , b ) 88 ft , c ) 122 ft , d ) 178 ft , e ) 66 ft
Output: d
Problem: a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 440 sq . feet , how many feet of fencing will be required ? 
Options: a ) 34 , b ) 40 , c ) 64 , d ) 88 , e ) 92
Output: c
Problem: square of 99 = ? 
Options: ['a ) 9001', 'b ) 9621', 'c ) 9431', 'd ) 9801', 'e ) 9601']
Output: d
Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 4 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 75 square inches , c ) 68 square inches , d ) 48 square inches , e ) 92 square inches
Output: d
Problem: a rectangular photograph is surrounded by a border that is 1 inch wide on each side . the total area of the photograph and the border is m square inches . if the border had been 4 inches wide on each side , the total area would have been ( m + 90 ) square inches . what is the perimeter of the photograph , in inches ? 
Options: a ) 10 , b ) 20 , c ) 30 , d ) 40 , e ) 50
Output: a
Problem: what is the area of an equilateral triangle whose one side length is 50 ? 
Options: a ) 225 √ 3 , b ) 325 √ 3 , c ) 425 √ 3 , d ) 525 √ 3 , e ) 625 √ 3
Output: e
Problem: an area of a circularplace is 17 hectares . find the cost of fencing it at the rate of rs . 3 permeter approximately . 
Options: ['a ) rs . 4000', 'b ) rs . 4450', 'c ) rs . 4457', 'd ) rs . 4560', 'e ) rs . 5457']
Output: c
Problem: if y is the smallest positive integer such that 31,360 multiplied by y is the square of an integer , then y must be 
Options: a ) 21 , b ) 10 , c ) 61 , d ) 72 , e ) 14
Output: b
Problem: a volume of 11780 l water is in a container of sphere . how many hemisphere of volume 4 l each will be required to transfer all the water into the small hemispheres ? 
Options: a ) 2812 , b ) 8231 , c ) 2734 , d ) 4222 , e ) 2945
Output: e
Problem: the circumferences of two circles are 132 meters and 352 meters . find the difference between the areas of the larger and the smaller circles ? 
Options: a ) 2996 sq m , b ) 2897 sq m , c ) 4312 sq m , d ) 5768 sq m , e ) 8470 sq m
Output: e
Problem: if the area of a circle decreases by 25 % , then the radius of a circle decreases by 
Options: a ) 13 % , b ) 18 % , c ) 36 % , d ) 64 % , e ) none of these
Output: a
Problem: in a rectangular coordinate system , what is the area of a triangle whose vertices have the coordinates ( 3 , 0 ) , ( 6 , 3 ) , and ( 6 , - 3 ) ? 
Options: ['a ) 9', 'b ) 10', 'c ) 11', 'd ) 12', 'e ) 13']
Output: a
Problem: in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 3.5 ) , ( 9 , 0 ) , ( 0 , - 3.5 ) , ( - 9 , 0 ) ? 
Options: a ) 63 , b ) 88 , c ) 112 , d ) 116 , e ) 120
Output: a
Problem: a cube has a volume of 125 cubic feet . if a similar cube is twice as long , twice as wide , and twice as high , then the volume , in cubic feet of such cube is ? 
Options: a ) 24 , b ) 48 , c ) 64 , d ) 80 , e ) 1000
Output: e
Problem: the diameter of a circle is 4 / π . find the circumference of the circle . 
Options: ['a ) 8', 'b ) 4 π', 'c ) 4', 'd ) 6', 'e ) 5']
Output: a
Problem: a rectangular field has a length 10 meters more than it is width . if the area of the field is 200 , what is the length ( in meters ) of the rectangular field ? 
Options: a ) 20 , b ) 22 , c ) 24 , d ) 26 , e ) 28
Output: a
Problem: a right triangle aec has to be constructed in the xy - plane so that the right angle is at a and ae is parallel to x axis . the coordinates of a , e and c are integers and satisfy the inequalities - 1 ≤ x ≤ 7 and 1 ≤ y ≤ 7 . how many different triangles can be constructed with these properties ? 
Options: a ) 63 , b ) 336 , c ) 567 , d ) 3024 , e ) 5040
Output: d
Problem: two cubes of their volumes in the ratio 64 : 1331 . the ratio of their surface area is : 
Options: a ) 1.5 : 5 , b ) 2 : 5 , c ) 3 : 5 , d ) 4 : 11 , e ) 4 : 5
Output: d
Problem: a cubical block of metal weighs 8 pounds . how much will another cube of the same metal weigh if its sides are twice as long ? 
Options: a ) 48 , b ) 32 , c ) 24 , d ) 18 , e ) 64
Output: e
Problem: in a rectangular axis system , what is the area of a parallelogram with the coordinates : ( 2,2 ) , ( 8,2 ) , ( 3,5 ) , ( 9,5 ) ? 
Options: a ) 18 . , b ) 28 . , c ) 35 . , d ) 49 . , e ) 52 .
Output: a
Problem: a certain rectangular crate measures 8 feet by 12 feet by 14 feet . a cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces . what should the radius of the tank be if it is to be of the largest possible volume ? 
Options: a ) 6 , b ) 5 , c ) 6 , d ) 8 , e ) 10
Output: a
Problem: the length of a rectangle is reduced by 20 % . by what % would the width have to be increased to maintainthe original area ? 
Options: a ) 14 % , b ) 15 % , c ) 25 % , d ) 30 % , e ) 35 %
Output: c
Problem: the diagonals of a rhombus are 15 cm and 12 cm . find its area ? 
Options: a ) 70 , b ) 90 , c ) 60 , d ) 80 , e ) 292
Output: b
Problem: an equilateral triangle and three squares are combined as shown above , forming a shape of area 48 + 4 √ 3 . what is the perimeter of the shape formed by the triangle and squares ? 
Options: ['a ) 18', 'b ) 27', 'c ) 36', 'd ) 48', 'e ) 64']
Output: c
Problem: in a certain parallelogram the degree measure of one angle exceeds that of the other by 70 what is the degree measure of the smaller angle ? 
Options: a ) 55 , b ) 80 , c ) 85 , d ) 90 , e ) 95
Output: a
Problem: in right triangle abc , ac is the hypotenuse . if ac is 40 and ab + bc = 60 , what is the area of the triangle abc ? 
Options: a ) 225 , b ) 450 , c ) 25 √ 2 , d ) 500 , e ) 200 √ 2
Output: d
Problem: in right triangle abc , ac is the hypotenuse . if ac is 10 and ab + bc = 20 , what is the area of the triangle abc ? 
Options: a ) 225 , b ) 450 , c ) 75 , d ) 200 , e ) 200 √ 2
Output: c
Problem: the ratio of the radius of two circles is 1 : 3 , and then the ratio of their areas is ? 
Options: a ) 1 : 5 , b ) 1 : 6 , c ) 1 : 9 , d ) 1 : 3 , e ) 1 : 2
Output: c
Problem: a circle and a rectangle have the same perimeter . the sides of the rectangle are 18 cm and 26 cm . what is the area of the circle ? 
Options: ['a ) 88 cm 2', 'b ) 154 cm 2', 'c ) 1250 cm 2', 'd ) 616 cm 2', 'e ) none of these']
Output: d
Problem: a rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn . if the area of the lawn is 2109 sq . m , then what is the width of the road ? 
Options: ['a ) 2', 'b ) 3.5', 'c ) 3', 'd ) 4', 'e ) 5']
Output: c
Problem: chloe has $ 27 dollars to go to the fair . she is bringing 2 other friends along . admission to the fair is $ 3 . each ride costs $ 1.70 . how many rides can she and her friends go on and how much money will be left over ? 
Options: ['a ) they can go on 15 rides and $ 1.50 will be left over .', 'b ) they can go on 3 rides and $ 2.70 will be left over .', 'c ) they can go on 7 rides and $ 0 will be left over .', 'd ) they can go on 6 rides and $ 0 will be left over .', 'e ) they can go on 5 rides and $ 1.50 will be left over .']
Output: b
Problem: in a rectangular metallic piece of paper that covers exactly the area of a cube . the length of the piece of paper is 48 inches and the width is 72 inches . what is the volume of the cube in cubic feet is 1 feet is 12 inches ? 
Options: ['a ) a 8', 'b ) b 22', 'c ) c 27', 'd ) d 40', 'e ) e 51']
Output: a
Problem: a hall is 24 meters long and 12 meters wide . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , what is the volume of the hall ( in cubic meters ) ? 
Options: ['a ) 1896', 'b ) 1912', 'c ) 2108', 'd ) 2304', 'e ) 2524']
Output: d
Problem: sand is poured into a box so that the box is being filled at the rate of 3 cubic feet per hour . if the empty rectangular box is 5 feet long , 4 feet wide , and 3 feet deep , approximately how many hours does it take to fill the box ? 
Options: a ) 14 , b ) 16 , c ) 18 , d ) 20 , e ) 22
Output: d
Problem: a right triangle is inscribed in a circle . the legs of the triangle have lengths 6 and 8 . what is the diameter of the circle ? 
Options: ['a ) 8', 'b ) 8 π', 'c ) 9 √ 3', 'd ) 10', 'e ) 12']
Output: d
Problem: a circular plate with a diameter of 10 inches is kept on another plate of 12 inches diameter . what fraction of the big plate ' s surface is not covered by the small plate ? 
Options: ['a ) 11 / 36', 'b ) 23 / 10', 'c ) 5 / 14', 'd ) 22 / 11', 'e ) 3 / 4']
Output: a
Problem: a rectangular of certain dimensions is chopped off from one corner of a larger rectangle as shown . ab = 8 cm and bc = 4 cm . the perimeter of the figure abcpqra ( in cm ) is : 
Options: ['a ) 24', 'b ) 28', 'c ) 36', 'd ) 48', 'e ) none of these']
Output: a
Problem: 20 business executives and 7 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ? 
Options: a ) 144 , b ) 131 , c ) 330 , d ) 390 , e ) 445
Output: c
Problem: the area of a rectangle is 360 sq . m . if its length is increased by 10 m and its width is decreased by 6 m , then its area does not change . find the perimeter of the original rectangle . 
Options: ['a ) 74 m', 'b ) 75 m', 'c ) 76 m', 'd ) 77 m', 'e ) 78 m']
Output: c
Problem: calculate the area of a triangle , if the sides of are 52 cm , 48 cm and 20 cm , what is its area ? 
Options: a ) 480 cm 2 , b ) 580 cm 2 , c ) 380 cm 2 , d ) 180 cm 2 , e ) 280 cm 2
Output: a
Problem: 34 . the side surface of a cylinder is rolled with a rectangle . if the height of a cylinder is 16 feet and the perimeter of the circular base . is 12 feet , what is the diagonal of the rectangle ? 
Options: ['a ) 16', 'b ) 20', 'c ) 18', 'd ) 22', 'e ) 21']
Output: b
Problem: a certain farmer pays $ 30 per acre per month to rent farmland . how much does the farmer pay per month to rent a rectangular plot of farmland that is 1080 feet by 605 feet ? ( 43,560 square feet = 1 acre ) 
Options: a ) $ 5,330 , b ) $ 3,360 , c ) $ 450 , d ) $ 360 , e ) $ 150
Output: c
Problem: the ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 6348 sq cm . what is the ratio of the width and the area of the rectangle ? 
Options: a ) 1 : 96 , b ) 1 : 99 , c ) 1 : 94 , d ) 1 : 92 , e ) 1 : 91
Output: d
Problem: the diameters of two spheres are in the ratio 1 : 2 what is the ratio of their volumes ? 
Options: a ) 1 : 9 , b ) 1 : 2 , c ) 1 : 8 , d ) 1 : 1 , e ) 1 : 6
Output: c
Problem: a semicircle has a radius of 14 . what is the approximate perimeter of the semicircle ? 
Options: a ) 72 , b ) 76 , c ) 80 , d ) 84 , e ) 88
Output: a
Problem: the length of the rectangular field is double its width . inside the field there is square shaped pond 4 m long . if the area of the pond is 1 / 8 of the area of the field . what is the length of the field ? 
Options: a ) 54 , b ) 32 , c ) 75 , d ) 28 , e ) 16
Output: e
Problem: a rectangular window is twice as long as it is wide . if its perimeter is 18 feet , then what are its dimensions in feet ? 
Options: ['a ) 3 / 2 by 7 / 2', 'b ) 5 / 3 by 10 / 3', 'c ) 2 by 4', 'd ) 3 by 6', 'e ) 10 / 3 by 20 / 3']
Output: d
Problem: the water level in a rectangular swimming pool measuring 40 feet by 25 feet is to be lowered by 6 inches . how many gallons of water must be removed ? ( 1 cu ft = 7.5 gallons ) 
Options: a ) 100 , b ) 250 , c ) 750 , d ) 3750 , e ) 5625
Output: d
Problem: a certain farmer pays $ 70 per acre per month to rent farmland . how much does the farmer pay per month to rent a rectangular plot of farmland that is 360 feet by 605 feet ? ( 43,560 square feet = 1 acre ) 
Options: a ) $ 5,330 , b ) $ 3,360 , c ) $ 1,350 , d ) $ 360 , e ) $ 1050
Output: e
Problem: if the length and breadth of a rectangular room are each increased by 1 m , then the area of floor is increased by 21 sq . m . if the length is creased by 1 m and breadth is decreased by 1 m , then the area is decreased by 5 sq . m . the perimeter of the floor is : 
Options: ['a ) 27', 'b ) 35', 'c ) 40', 'd ) 49', 'e ) 38']
Output: c
Problem: if the diagonal of a rectangle is 17 cm long and its perimeter is 46 cm , find the area of the rectangle . 
Options: ['a ) 127 cm ^ 2', 'b ) 125 cm ^ 2', 'c ) 120 cm ^ 2', 'd ) 102 cm ^ 2', 'e ) none of them']
Output: c
Problem: there is a rectangular prism made of 1 in cubes that has been covered in tin foil . there are exactly 128 cubes that are not touching any tin foil on any of their sides . if the width of the figure created by these 128 cubes is twice the length and twice the height , what is the p measure in inches of the width of the foil covered prism ? 
Options: a ) 4 , b ) 6 , c ) 8 , d ) 9 , e ) 10
Output: e
Problem: the second angle of a triangle is double the first ( 110 ) . the third angle is 40 less than the first ( 15 ) . find the first angle . 
Options: a ) 35 , b ) 45 , c ) 55 , d ) 65 , e ) 75
Output: c
Problem: abcd is a square where ab = â ˆ š 4008 . let x be a point on ab and y be a point on cd such that ax = cy . compute the area of trapezoid axyd . 
Options: a ) 3008 , b ) 2004 , c ) 1008 , d ) 2016 , e ) 3000
Output: b
Problem: in a new housing development , trees are to be planted along the sidewalk of a certain street . each tree takes up one square foot of sidewalk space , and there are to be 12 feet between each tree . how many trees can be planted if the road is 157 feet long ? 
Options: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 13
Output: e
Problem: what is the smallest positive perfect square that is divisible by 9 , 15 , and 25 ? 
Options: a ) 100 , b ) 225 , c ) 900 , d ) 1,600 , e ) 4,900
Output: b
Problem: what is the area of a triangle with the following vertices l ( 2 , 3 ) , m ( 5 , 1 ) , and n ( 3 , 5 ) ? 
Options: ['a ) 3', 'b ) 4', 'c ) 5', 'd ) 6', 'e ) 7']
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 . 2 per sq m ? 
Options: a ) 2999 , b ) 1350 , c ) 2677 , d ) 2898 , e ) 2787
Output: b
Problem: the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 432 sq m , then what is the breadth of the rectangular plot ? 
Options: a ) 12 , b ) 17 , c ) 18 , d ) 19 , e ) 14
Output: a
Problem: what is the smallest positive perfect square that is divisible by 4 , 9 , and 18 ? 
Options: a ) 36 , b ) 81 , c ) 144 , d ) 625 , e ) 900
Output: a
Problem: the floor of a rectangular room is 19 m long and 12 m wide . the room is surrounded by a veranda of width 2 m on all its sides . the area of the veranda is : 
Options: a ) 144 m 2 , b ) 140 m 2 , c ) 108 m 2 , d ) 158 m 2 , e ) none of these
Output: b
Problem: the area of a circle is increased by 1500 % . by what percent has the diameter of the circle increased ? 
Options: a ) 100 % , b ) 500 % , c ) 300 % , d ) 600 % , e ) 800 %
Output: b
Problem: the ratio of the volumes of two cubes is 125 : 1728 . what is the ratio of their total surface areas ? 
Options: a ) 81 : 121 , b ) 9 : 11 , c ) 25 : 144 , d ) 27 : 121 , e ) none of these
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 / 8 of the area of the field . what is the length of the field ? 
Options: a ) 73 , b ) 32 , c ) 34 , d ) 43 , e ) 42
Output: b
Problem: obra drove 150 π meters along a circular track . if the area enclosed by the circular track on which she drove is 57,600 π square meters , what percentage of the circular track did obra drive ? 
Options: ['a ) 6.67 %', 'b ) 12.5 %', 'c ) 18.75 %', 'd ) 25 %', 'e ) 31.25 %']
Output: e
Problem: the faces of a triangular prism are to be painted by 5 different colors . in how many ways can be this be done ? 
Options: ['a ) a . 720', 'b ) b . 256', 'c ) c . 1', 'd ) d . 120', 'e ) e . 36']
Output: d
Problem: the area of a rectangular plot is 460460 square metres . if the length is 15 % 15 % more than the breadth , what is the breadth of the plot ? 
Options: a ) 14 metres , b ) 20 metres , c ) 18 metres , d ) 12 metres , e ) 16 metres
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 . 3 per sq m ? 
Options: a ) 675 , rs . 2025 , b ) 575 , rs . 1350 , c ) 1350 , rs . 675 , d ) 1450 , rs . 775 , e ) 1550 , rs . 875
Output: a
Problem: the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 588 sq m , then what is the breadth of the rectangular plot ? 
Options: a ) 16 , b ) 17 , c ) 18 , d ) 19 , e ) 14
Output: e
Problem: an entry in an unshaded square is obtained by adding the entries connected to it from the row above ( 11 is one such number ) . write the value of n ? 
Options: ['a ) 10', 'b ) 11', 'c ) 12', 'd ) 9', 'e ) 8']
Output: a
Problem: the ratio of the volumes of two cubes is 27 : 64 . what is the ratio of their total surface areas ? 
Options: ['a ) 18 : 21', 'b ) 81 : 13', 'c ) 8 : 15', 'd ) 16 : 21', 'e ) 1 : 13']
Output: d
Problem: a circle in the coordinate plane passes through points ( - 3 , - 2 ) and ( 1 , 3 ) . what is the smallest possible area of that circle ? 
Options: a ) 10.5 π , b ) 26 π , c ) 262 √ π , d ) 52 π , e ) 64 π
Output: a
Problem: a full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet . oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck ' s tank is completely filled . if the truck ' s tank has a radius of 5 feet and a height of 12 feet , how far ( in feet ) did the oil level drop in the stationary tank ? 
Options: a ) 2.5 , b ) 0.025 , c ) 0.05 , d ) 0.03 , e ) 3
Output: d
Problem: radius of a circle is 5 cm , if we draw a rectangle of maximum size , what is the area of rectangle ? 
Options: ['a ) 30', 'b ) 40', 'c ) 50', 'd ) 60', 'e ) 70']
Output: c
Problem: the ratio of the volumes of two cubes is 2744 : 3375 . what is the ratio of their total surface areas ? 
Options: a ) 71 : 76 , b ) 71 : 131 , c ) 71 : 145 , d ) 71 : 167 , e ) 71 : 113
Output: a
Problem: carmen made a sculpture from small pieces of wood . the sculpture is 2 feet 10 inches tall . carmen places her sculpture on a base that is 4 inches tall . how tall are the sculpture andbase together ? 
Options: ['a ) 3.17 feet', 'b ) 3.2 feet', 'c ) 3.3 feet', 'd ) 3.4 feet', 'e ) 3.5 feet']
Output: a
Problem: a rectangular floor that measures 24 meters by 64 meters is to be covered with carpet squares that each measure 8 meters by 8 meters . if the carpet squares cost $ 24 apiece , what is the total cost for the number of carpet squares needed to cover the floor ? 
Options: ['a ) $ 200', 'b ) $ 576', 'c ) $ 480', 'd ) $ 960', 'e ) $ 1,920']
Output: b
Problem: the length of a rectangle is increased by 35 % and its breadth is decreased by 20 % . what is the effect on its area ? 
Options: a ) 10800 , b ) 1299 , c ) 1000 , d ) 10000 , e ) 2887
Output: a
Problem: what is the % change in the area of a rectangle when its length increases by 10 % and its width decreases by 10 % ? 
Options: a ) 0 % , b ) 20 % increase , c ) 20 % decrease , d ) 1 % decrease , e ) insufficient data
Output: d
Problem: a cylindrical can has a radius of 3 centimeters and a height of 24 centimeters . what is the area , in square centimeters , of a rectangular label that completely covers the curved surface of the can without over - lapping ? 
Options: ['a ) 16 pi', 'b ) 64 pi', 'c ) 96 pi', 'd ) 144 pi', 'e ) 576 pi']
Output: d
Problem: a square is drawn by joining the mid points of the sides of a given square in the same way and this process continues indefinitely . if a side of the first square is 4 cm , determine the sum of the areas all the square . 
Options: ['a ) 32 cm 2', 'b ) 16 cm 2', 'c ) 20 cm 2', 'd ) 64 cm 2', 'e ) none of these']
Output: a
Problem: if ( 20 ) ² is subtracted from the square of a number , the answer so obtained is 4321 . what is the number ? 
Options: ['a ) 68', 'b ) 69', 'c ) 70', 'd ) 71', 'e ) 72']
Output: b
Problem: what is the area of a circle having the same perimeter as that of a square whose area is 121 . 
Options: ['a ) 306', 'b ) 307', 'c ) 308', 'd ) 309', 'e ) 310']
Output: c
Problem: the length of a rectangular garden is three times its width . if the area of the rectangular garden is 432 square meters , then what is the width of the rectangular garden ? 
Options: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12
Output: e
Problem: a small , rectangular park has a perimeter of 560 feet and a diagonal measurement of 500 feet . what is its area , in square feet ? 
Options: a ) 12,000 , b ) 19,600 , c ) 20,000 , d ) 20,400 , e ) 20,800
Output: a
Problem: if y is the smallest positive integer such that 8,820 multiplied by y is the square of an integer , then y must be 
Options: a ) 2 , b ) 5 , c ) 6 , d ) 7 , e ) 14
Output: b
Problem: the product of the squares of two positive integers is 81 . how many pairs of positive integers satisfy this condition ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Output: c
Problem: the roof of an apartment building is rectangular and its length is 7 times longer than its width . if the area of the roof is 847 feet squared , what is the difference between the length and the width of the roof ? 
Options: a ) 38 . , b ) 40 . , c ) 66 . , d ) 44 . , e ) 46 .
Output: c
Problem: there is a square of side 6 cm . a circle is inscribed inside the square . find the ratio of the area of circle to square . 
Options: ['a ) 11 / 14', 'b ) 1 / 14', 'c ) 13 / 14', 'd ) 12 / 14', 'e ) 5 / 14']
Output: a
Problem: a metallic sheet is of rectangular shape with dimensions 48 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m 3 ) is : 
Options: a ) 4830 , b ) 5120 , c ) 6420 , d ) 8960 , e ) none
Output: b
Problem: the parameter of a square is equal to the perimeter of a rectangle of length 40 cm and breadth 20 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) ? 
Options: a ) 47.14 , b ) 45.15 , c ) 43.23 , d ) 41.44 , e ) 41.51
Output: a
Problem: the perimeter of a triangle is 32 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ? 
Options: a ) 87 cm 2 , b ) 28 cm 2 , c ) 98 cm 2 , d ) 26 cm 2 , e ) 40 cm 2
Output: e
Problem: if a rectangular room measures 10 meters by 5 meters by 4 meters , what is the volume of the room in cubic centimeters ? ( 1 meter = 100 centimeters ) 
Options: a ) 24,000 , b ) 240,000 , c ) 2 , 400,000 , d ) 200 , 000,000 , e ) 240 , 000,000
Output: d
Problem: a sphere is inscribed in a cube with an edge of 10 . what is the shortest possible distance from one of the vertices of the cube to the surface of the sphere ? 
Options: ['a ) 10 ( √ 3 - 1 )', 'b ) 5', 'c ) 10 ( √ 2 - 1 )', 'd ) 5 ( √ 3 - 1 )', 'e ) 5 ( √ 2 - 1 )']
Output: d
Problem: a gardener changed the size of his rectangle shaped garden by increasing it ' s length by 40 % & decreasing is ' s width by 20 % . find area of new garden . 
Options: ['a ) 1.04', 'b ) 1.12', 'c ) 1.24', 'd ) 1.4', 'e ) 1.5']
Output: b
Problem: what is the maximum number t of 27 cubic centimetre cubes that can fit in a rectangular box measuring 8 centimetre x 9 centimetre x 12 centimetre ? 
Options: ['a ) 36', 'b ) 32', 'c ) 24', 'd ) 21', 'e ) 15']
Output: c
Problem: what is the area of a square with perimeter 4 p ? 
Options: a ) p ^ 2 , b ) 4 p , c ) p ^ 2 / 4 , d ) p / 16 , e ) p ^ 2 / 16
Output: a
Problem: the mass of 1 cubic meter of a substance is 100 kg under certain conditions . what is the volume in cubic centimeters of 1 gram of this substance under these conditions ? ( 1 kg = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters ) 
Options: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12
Output: c
Problem: suppose you have three identical prisms with congruent equilateral triangles as the end - polygons . suppose you attach them by the rectangular faces so they are perfectly aligned . there will be some large faces created by two or more co - planar faces of the individual prisms : count each such large face as one . given that , how many faces does the resultant solid have ? 
Options: a ) 4 , b ) 6 , c ) 9 , d ) 10 , e ) 12
Output: b
Problem: the area of a parallelogram is 72 sq m and its altitude is twice the corresponding base . then the length of the base is ? 
Options: a ) 6 , b ) 16 , c ) 8 , d ) 36 , e ) none
Output: a
Problem: a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 800 sq . ft , how many feet of fencing will be required ? 
Options: a ) 100 feet , b ) 120 feet , c ) 150 feet , d ) 180 feet , e ) 186 feet
Output: a
Problem: in triangle pqr , the angle q = 90 degree , pq = 2 cm , qr = 8 cm . x is a variable point on pq . the line through x parallel to qr , intersects pr at y and the line through y , parallel to pq , intersects qr at z . find the least possible length of xz 
Options: a ) 1.6 cm , b ) 2.4 cm , c ) 4.8 cm , d ) 2.16 cm , e ) 3.2 cm
Output: a
Problem: a making a cube with dimension 5 * 5 * 5 using 1 * 1 * 1 cubes . what is the number of cubes needed to make hollow cube looking of the same shape . 
Options: ['a ) 98', 'b ) 99', 'c ) 100', 'd ) 101', 'e ) 102']
Output: a
Problem: the perimeter of an isosceles right triangle is 8 + 8 sq rt 2 . what is the length of the hypotenuse of the triangle ? 
Options: a ) 4 , b ) 5.656 , c ) 5 , d ) 6 , e ) 7
Output: b
Problem: find the area of a parallelogram with base 10 cm and height 20 cm . 
Options: a ) 200 , b ) 384 , c ) 200 , d ) 244 , e ) 242
Output: c
Problem: what is the ratio between perimeters of two squares one having 1.5 times the diagonal then the other ? 
Options: a ) 3 : 6 , b ) 1.5 : 1 , c ) 3 : 1.5 , d ) 2 : 1 , e ) 3 : 2
Output: b
Problem: the diagonal of a square is the height in an equilateral triangle . if the side of the square is x , what is the side of the equilateral triangle in terms of x ? 
Options: ['a ) √ ( 2 / 3 ) × x', 'b ) 2 / √ 3 × x', 'c ) √ 3 x', 'd ) √ ( 8 / 3 ) × x', 'e ) 2 √ 3 × x']
Output: d
Problem: in a triangle abc , ab = 6 , bc = 8 and ac = 10 . a perpendicular dropped from b , meets the side ac at d . a circle of radius bd ( with centre b ) is drawn . if the circle cuts ab and bc at p and q respectively , then ap : qc is equal to 
Options: ['a ) 1 : 1', 'b ) 3 : 2', 'c ) 4 : 1', 'd ) 3 : 8', 'e ) 2 : 5']
Output: d
Problem: carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 5 inches by 24 inches and jordan ' s rectangle is 8 inches long , how wide is jordan ' s rectangle , in inches ? 
Options: a ) 25 , b ) 23 , c ) 22 , d ) 15 , e ) 18
Output: d