niryuu/sni-each-converted huggingface dataset:
Problem: a spirit and water solution is sold in a market . the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has . a solution of 1 liter of spirit and 1 liter of water costs 50 cents . how many cents does a solution of 1 liter of spirit and 3 liters of water cost ? 
Options: ['a ) 13', 'b ) 33', 'c ) 56', 'd ) 50', 'e ) 52']
Output: d
Problem: what is the maximum number e of 27 cubic centimetre cubes that can fit in a rectangular box measuring 8 centimetre x 9 centimetre x 12 centimetre ? 
Options: ['a ) 36', 'b ) 32', 'c ) 24', 'd ) 21', 'e ) 15']
Output: c
Problem: each of the 9 squares shown is to contain one number chosen from 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , and 9 . no number is to be repeated . suppose the sum of the 5 squares aligned vertically on the right is 32 and that the sum of the 5 squares aligned horizontally on the bottom is 20 . what number goes in the shared corner square ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Output: e
Problem: the area of a triangle is with base 4 m and height 5 m ? 
Options: ['a ) 11', 'b ) 10', 'c ) 99', 'd ) 17', 'e ) 12']
Output: b
Problem: what will be the percentage increase in the area of the cube ' s surface if each of the cube ' s edges grows by 20 % ? 
Options: a ) 33 % , b ) 44 % , c ) 55 % , d ) 56 % , e ) 73 %
Output: b
Problem: the perimeter of a triangle is 44 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ? 
Options: a ) 38 cm 2 , b ) 55 cm 2 , c ) 65 cm 2 , d ) 45 cm 2 , e ) 35 cm 2
Output: b
Problem: the surface of a cube is 384 sq cm . find its volume ? 
Options: a ) 8 cc , b ) 9 cc , c ) 512 cc , d ) 4 cc , e ) 6 cc
Output: c
Problem: the points a ( 0 , 0 ) , b ( 0 , 4 a - 5 ) and c ( 2 a + 3 , 2 a + 6 ) form a triangle . if angle abc = 90 , what is the area of triangle abc ? 
Options: a ) 114 , b ) 116 , c ) 118 , d ) 119 , e ) 120
Output: d
Problem: in a new housing development , trees are to be planted along the sidewalk of a certain street . each tree takes up one square foot of sidewalk space , and there are to be 20 feet between each tree . how many trees can be planted if the road is 148 feet long ? 
Options: ['a ) 8', 'b ) 9', 'c ) 10', 'd ) 11', 'e ) 16']
Output: a
Problem: the diameter of a cylindrical tin is 10 cm and height is 5 cm . find the volume of the cylinder ? 
Options: a ) 125 , b ) 155 , c ) 130 , d ) 120 , e ) 100
Output: a
Problem: a cube is painted red on all faces . it is then cut into 27 equal smaller cubes . how many j cubes are painted on only 2 faces ? 
Options: a ) 12 , b ) 8 , c ) 6 , d ) 10 , e ) 16
Output: a
Problem: the roof of an apartment building is rectangular and its length is 5 times longer than its width . if the area of the roof is 720 feet squared , what is the difference between the length and the width of the roof ? 
Options: a ) 38 . , b ) 40 . , c ) 42 . , d ) 44 . , e ) 48 .
Output: e
Problem: what is the area of a square field whose sides have a length of 13 meters ? 
Options: a ) 225 sq m , b ) 169 sq m , c ) 128 sq m , d ) 267 sq m , e ) 231 sq m
Output: b
Problem: the length of a rectangle is 5 more than the width . what are the dimensions of the rectangle if the perimeter is 34 ? 
Options: ['a ) 11', 'b ) 12', 'c ) 13', 'd ) 14', 'e ) none']
Output: a
Problem: the length of a rectangular field is 7 / 5 its width . if the perimeter of the field is 240 meters , what is the width of the field ? 
Options: a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 90
Output: a
Problem: if the ratio of the areas of two squares is 225 : 256 , then the ratio of their perimeters is : 
Options: ['a ) 15 : 12', 'b ) 15 : 14', 'c ) 15 : 16', 'd ) 15 : 22', 'e ) none of these']
Output: c
Problem: a circular well with a diameter of 4 metres , is dug to a depth of 14 metres . what is the volume of the earth dug out ? 
Options: a ) 32 m 3 , b ) 36 m 3 , c ) 40 m 3 , d ) 44 m 3 , e ) 176 m 3
Output: e
Problem: the length of a rectangle is 2 times its width . if the width of the rectangle is 4 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 75 square inches , c ) 68 square inches , d ) 89 square inches , e ) 32 square inches
Output: e
Problem: in a rectangular coordinate system , what is the area of a quadrilateral whose vertices have the coordinates ( 3 , - 1 ) , ( 3 , 8 ) , ( 14 , 2 ) , ( 14 , - 5 ) ? 
Options: a ) 76 , b ) 88 , c ) 100 , d ) 112 , e ) 124
Output: b
Problem: the length of a rectangular field is 7 / 5 its width . if the perimeter of the field is 384 meters , what is the width of the field ? 
Options: a ) 50 , b ) 60 , c ) 11 , d ) 80 , e ) 90
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 7 inches wide on each side , the total area would have been ( m + 264 ) square inches . what is the perimeter of the photograph , in inches ? 
Options: a ) 8 , b ) 12 , c ) 16 , d ) 20 , e ) 24
Output: b
Problem: if the sides of a triangle are 28 cm , 26 cm and 10 cm , what is its area ? 
Options: a ) 120 cm 2 , b ) 112 cm 2 , c ) 776 cm 2 , d ) 130 cm 2 , e ) 886 cm 2
Output: d
Problem: the perimeter of a rectangular yard is completely surrounded by a fence that measures 10 meters . what is the length of the yard if the area of the yard is 6 meters squared ? 
Options: a ) 8 , b ) 1 , c ) 5 , d ) 7 , e ) 3
Output: e
Problem: v is the volume of a cylinder ; the radius of the cylinder is 3.5 . the height of the cylinder is 650 % more than the radius . which of the following is true ? 
Options: ['a ) 100 < v < 300', 'b ) 300 < v < 500', 'c ) 500 < v < 700', 'd ) 700 < v < 900', 'e ) 900 < v < 1100']
Output: d
Problem: a rectangular field has to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 680 sq . feet , how many feet of fencing will be required ? 
Options: ['a ) 80 feet', 'b ) 85 feet', 'c ) 83 feet', 'd ) 88 feet', 'e ) 90 feet']
Output: d
Problem: how many pieces can a square pizza be cut into by making 5 linear cuts ? 
Options: a ) 16 , b ) 17 , c ) 13 , d ) 14 , e ) 15
Output: a
Problem: how many odd numbers between 10 and 1,300 are the squares of integers ? 
Options: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 17
Output: e
Problem: a geometric shape is obtained by combining a square of side 8 cm and a semicircle of diameter 8 cm . what is the perimeter of the shape obtained ? 
Options: ['a ) 28.32', 'b ) 36.57', 'c ) 44.57', 'd ) 48.93', 'e ) 54.24']
Output: b
Problem: the volume of a sphere with radius r is ( 4 / 3 ) * pi * r ^ 3 and the surface area is 4 * pi * r ^ 3 . if a sperical balloon has a volume of 12348 pi cubic centimeters , what is hte surface area of the balloon in square centimeters ? 
Options: a ) a . 40 , b ) b . 100 , c ) c . 400 , d ) d . 1,000 , e ) e . 5,000
Output: e
Problem: the diagonals of a rhombus are 15 cm and 17 cm . find its area ? 
Options: a ) 277 , b ) 127.5 , c ) 150 , d ) 288 , e ) 212
Output: b
Problem: a block of wood has dimensions 10 cm x 10 cm x 100 cm . the block is painted red and then cut evenly at the 50 cm mark , parallel to the sides , to form two rectangular solids of equal volume . what percentage of the surface area of each of the new solids is not painted red ? 
Options: a ) 4.5 % , b ) 8.3 % , c ) 10.2 % , d ) 12.5 % , e ) 15.3 %
Output: a
Problem: a certain cube floating in a bucket of water has between 80 and 85 percent of its volume below the surface of the water . if between 8 and 15 cubic centimeters of the cube ' s volume is above the surface of the water , then the length of a side of the cube is approximately 
Options: a ) 3 , b ) 4 , c ) 7 , d ) 8 , e ) 9
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 9 feet between each tree . how many trees can be planted if the road is 151 feet long ? 
Options: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 16
Output: e
Problem: a rectangular region has a fence along three sides and a wall along the fourth side . the fenced side opposite the wall is twice the length of each of the other two fenced sides . if the area of the rectangular region is 800 square feet , what is the total length of the fence , in feet ? 
Options: a ) 40 , b ) 80 , c ) 100 , d ) 120 , e ) 200
Output: b
Problem: a rectangle the length of which is 8 inches and the width of which is 6 inches is made up 48 1 inch by 1 inch squares . through how many of the squares does a diagonal of the rectangle pass ? 
Options: ['a ) 6', 'b ) 8', 'c ) 10', 'd ) 12', 'e ) 16']
Output: d
Problem: if the height of a cone is increased by 130 % then its volume is increased by ? 
Options: a ) 100 , b ) 777 , c ) 998 , d ) 729 , e ) 130
Output: e
Problem: the length of a rectangle is twice its breadth . if its length is decreased by 5 cm and breadth is increased by 5 cm , the area of the rectangle is increased by 55 sq . cm . find the length of the rectangle . 
Options: a ) 16 cm , b ) 18 cm , c ) 15 cm , d ) 20 cm , e ) 23 cm
Output: a
Problem: what will be the percentage increase in the area of the cube ' s surface if each of the cube ' s edges grows by 30 % ? 
Options: ['a ) 70 %', 'b ) 69 %', 'c ) 80 %', 'd ) 82 %', 'e ) 55 %']
Output: b
Problem: the area of the largest circle that can be drawn inside a rectangle with sides 18 cm by 14 cm is 
Options: ['a ) 237', 'b ) 154', 'c ) 2376', 'd ) 198', 'e ) 171']
Output: b
Problem: the length of a rectangle is two - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 2025 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ? 
Options: a ) 140 , b ) 150 , c ) 160 , d ) 170 , e ) 180
Output: e
Problem: if the area of a circle is 16 pi square feet , find its circumference . 
Options: a ) 8 pi feet , b ) 28 pi feet , c ) 38 pi feet , d ) 48 pi feet , e ) 58 pi feet
Output: a
Problem: the edge of a cube is 6 a cm . find its surface ? 
Options: a ) 216 a 2 , b ) 24 a 4 , c ) 24 a 1 , d ) 24 a 2 , e ) 24 a 7
Output: a
Problem: a wall photo 2 inches wide is placed around a rectangular paper with dimensions 8 inches by 12 inches . what is the area of the wall photo , in square inches ? 
Options: ['a ) 96', 'b ) 86', 'c ) 108', 'd ) 144', 'e ) 118']
Output: a
Problem: cubes with each side one inch long are glued together to form a larger cube . the larger cube ' s face is painted with red color and the entire assembly is taken apart . 24 small cubes are found with no paints on them . how many of unit cubes have at least one face that is painted red ? 
Options: a ) 64 , b ) 72 , c ) 86 , d ) 98 , e ) 101
Output: e
Problem: the volume of a sphere with radius r is ( 4 / 3 ) * pi * r ^ 3 and the surface area is 4 * pi * r ^ 3 . if a sperical balloon has a volume of 2304 pi cubic centimeters , what is hte surface area of the balloon in square centimeters ? 
Options: ['a ) a . 40', 'b ) b . 100', 'c ) c . 400', 'd ) d . 1,800', 'e ) e . 10,000']
Output: d
Problem: if circles x and y have the same area and circle x has a circumference of 12 π , half of the radius of circle y is : 
Options: a ) 16 , b ) 8 , c ) 3 , d ) 2 , e ) 1
Output: c
Problem: four horses are tethered at four corners of a square plot of side 63 metres so that they just can not reach one another . the area left ungrazed is : 
Options: ['a ) 675.5 m 2', 'b ) 780.6 m 2', 'c ) 785.8 m 2', 'd ) 850.5 m 2', 'e ) 950.5 m 2']
Output: d
Problem: a rectangular courtyard 3.78 meters long 5.25 meters wide is to be paved exactly with square tiles , all of the same size . what is the largest size of the tile which could be used for the purpose ? 
Options: ['a ) 14 cms', 'b ) 21 cms', 'c ) 42 cms', 'd ) none of these', 'e ) 56 cms']
Output: b
Problem: the area of a square field is 625 km 2 . how long will it take for a horse to run around at the speed of 25 km / h ? 
Options: a ) 12 h , b ) 10 h , c ) 8 h , d ) 4 h , e ) none of these
Output: d
Problem: the lateral surface area of cube is 100 sq . units . find the volume of cube ? 
Options: ['a ) 135', 'b ) 155', 'c ) 125', 'd ) 145', 'e ) 115']
Output: c
Problem: the surface area of a sphere is 4 π r 2 , where r is the radius of the sphere . if the area of the base of a hemisphere is 3 , what is the surface area e of that hemisphere ? 
Options: ['a ) 6 / π', 'b ) 9 / π', 'c ) 6', 'd ) 9', 'e ) 12']
Output: d
Problem: a wooden cube whose edge length is 8 inches is composed of smaller cubes with edge lengths of one inch . the outside surface of the large cube is painted red and then it is split up into its smaller cubes . if one cube is randomly selected from the small cubes , what is the probability that the cube will have at least one red face ? 
Options: a ) 46.3 % , b ) 50.4 % , c ) 54.2 % , d ) 57.8 % , e ) 61.3 %
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 288 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: c
Problem: unit size cubes are stacked inside a big rectangular box having dimensions corresponding to three consecutive multiples of 5 . choose exact number of cubes that can completely fill the box . 
Options: ['a ) 750', 'b ) 850', 'c ) 950', 'd ) 1050', 'e ) none of the above']
Output: a
Problem: in the xy - plane , a triangle has vertices ( 0,0 ) , ( 4,0 ) and ( 4,7 ) . if a point ( a , b ) is selected at random from the triangular region , what is the probability that a - b > 0 ? 
Options: a ) 4 / 7 , b ) 2 / 3 , c ) 3 / 5 , d ) 3 / 7 , e ) 1 / 2
Output: a
Problem: the circumferences of two circles are 268 meters and 380 meters . find the difference between the areas of the larger and the smaller circles . 
Options: a ) 388.15 , b ) 2992 , c ) 4312.5 , d ) 2887.27 , e ) 5773.09
Output: e
Problem: the ratio of boys to girls in a class is 2 : 3 . the career preference of the students in the class are to be represented in a circle graph . if the area of the graph allocated to each career preference is to be proportional to the number of students who have that career preference , how many degrees of the circle should be used to represent a career that is preferred by one third of the boys and two - third of the girls in the class ? 
Options: ['a ) a ) 160 degree', 'b ) b ) 168 degree', 'c ) c ) 191 degree', 'd ) d ) 272 degree', 'e ) e ) 192 degree']
Output: e
Problem: the diagonal of a rhombus are 80 m and 120 m . its area is : 
Options: a ) 4500 , b ) 4000 , c ) 4800 , d ) 4600 , e ) 4320
Output: c
Problem: if n is the smallest integer such that 54 times n is the square of an integer , what is the value of n ? 
Options: a ) 2 , b ) 1 , c ) 6 , d ) 12 , e ) 24
Output: b
Problem: the ratio of the volumes of two cubes is 125 : 1000 . what is the ratio of their total surface areas ? 
Options: a ) 81 : 121 , b ) 9 : 11 , c ) 729 : 1331 , d ) 1 : 4 , e ) none of these
Output: d
Problem: three walls have wallpaper covering a combined area of 280 square meters . by overlapping the wallpaper to cover a wall with an area of 180 square meters , the area that is covered by exactly two layers of wallpaper is 36 square meters . what is the area that is covered with three layers of wallpaper ? 
Options: a ) 5 square meters , b ) 32 square meters , c ) 42 square meters , d ) 83.3 square meters , e ) 120 square meters
Output: b
Problem: an isosceles triangle with sides 13 13 10 and there is a circle inscribed it . find the radius of circle ? 
Options: ['a ) 1.32', 'b ) 3.33', 'c ) 3.58', 'd ) 4.34', 'e ) 5.18']
Output: b
Problem: the ratio of male to female in a class is 2 : 7 . the career preference of the students in the class are to be represented in a circle graph . if the area of the graph allocated to each career preference is to be proportional to the number of students who have that career preference , how many degrees of the circle should be used to represent a career that is preferred by one third of the males and two - third of the females in the class ? 
Options: ['a ) a ) 160 degree', 'b ) b ) 168 degree', 'c ) c ) 191 degree', 'd ) d ) 192 degree', 'e ) e ) 213 degree']
Output: e
Problem: a circular garden is surrounded by a fence of negligible width along the boundary . if the length of the fence is 1 / 5 of th area of the garden . what is the radius of the circular garden ? 
Options: a ) 1 , b ) 2 , c ) 10 , d ) 8 , e ) 16
Output: c
Problem: danny is sitting on a rectangular box . the area of the front face of the box is half the area of the top face , and the area of the top face is 1.5 times the area of the side face . if the volume of the box is 1536 , what is the area of the side face of the box ? 
Options: a ) 34 , b ) 65 , c ) 88 , d ) 90 , e ) 128
Output: e
Problem: a rectangular garden is to be twice as long as it is wide . if 180 yards of fencing , including the gate , will completely enclose the garden , what will be the length of the garden , in yards ? 
Options: a ) 60 , b ) 70 , c ) 80 , d ) 90 , e ) 100
Output: a
Problem: obra drove 120 π meters along a circular track . if the area enclosed by the circular track on which she drove is 57,600 π square meters , what percentage of the circular track did obra drive ? 
Options: a ) 6.67 % , b ) 12.5 % , c ) 18.75 % , d ) 25 % , e ) 33.3 %
Output: d
Problem: the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each . the radius of the sphere is : 
Options: a ) 4 cm , b ) 6 cm , c ) 8 cm , d ) 10 cm , e ) 9 cm
Output: b
Problem: what is the area of the square with the following coordinates : ( x , y ) , ( 20 , 20 ) , ( 20 , 9 ) , ( x , 9 ) ? 
Options: ['a ) 121', 'b ) 132', 'c ) 144', 'd ) 156', 'e ) 169']
Output: a
Problem: what is the ratio g of the surface area of a cube to the surface area of a rectangular solid identical to the cube in all ways except that its length has been doubled ? 
Options: ['a ) 1 / 4', 'b ) 3 / 8', 'c ) 1 / 2', 'd ) 3 / 5', 'e ) 2']
Output: d
Problem: a rectangular swimming pool is 10 feet by 12 feet . a deck that has uniform width surrounds the pool . the total area of the pool and deck is 360 square feet . what is the width of the deck ? 
Options: a ) 7 , b ) 2 , c ) 3 , d ) 4 , e ) 6
Output: d
Problem: a spirit and water solution is sold in a market . the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has . a solution of 1 liter of spirit and 1 liter of water costs 40 cents . how many cents does a solution of 1 liter of spirit and 2 liters of water cost ? 
Options: a ) 40 , b ) 33 , c ) 50 , d ) 51 , e ) 52
Output: a
Problem: the length of a rectangle is five times of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 16 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 11 units ? 
Options: ['a ) 180 sq . units', 'b ) 11 sq . units', 'c ) 110 sq . units', 'd ) 140 sq . units', 'e ) 220 sq . units']
Output: e
Problem: an order was placed for a carpet whose length and width were in the ratio of 3 : 2 . subsequently , the dimensions of the carpet were altered such that its length and width were in the ratio 4 : 1 but were was no change in its perimeter . what is the ratio of the areas of the carpets ? 
Options: ['a ) 5 : 8', 'b ) 3 : 2', 'c ) 6 : 1', 'd ) 8 : 7', 'e ) 5 : 6']
Output: b
Problem: the length of a rectangle is two - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 1225 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 6 units ? 
Options: a ) 140 , b ) 84 , c ) 88 , d ) 72 , e ) 12
Output: b
Problem: a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 10 sq . feet , how many feet of fencing will be required ? 
Options: a ) 34 , b ) 40 , c ) 68 , d ) 21 , e ) 78
Output: d
Problem: a cylinder is inserted in a sphere d / h = 2 / 3 . find the surface area of the cylinder ? 
Options: ['a ) 23.12', 'b ) 24.12', 'c ) 25.12', 'd ) 26.12', 'e ) 27.12']
Output: c
Problem: the side of a square is increased by 5 % then how much % does its area increases ? 
Options: a ) 15.00 % , b ) 10.25 % , c ) 10.00 % , d ) 12.25 % , e ) 12.50 %
Output: b
Problem: the measurement of a rectangular box with lid is 25 cmx 6 cmx 18 cm . find the volume of the largest sphere that can be inscribed in the box ( in terms of π cm 3 ) . ( hint : the lowest measure of rectangular box represents the diameter of the largest sphere ) 
Options: ['a ) 288', 'b ) 48', 'c ) 36', 'd ) 864', 'e ) 964']
Output: c
Problem: a circular logo is enlarged to fit the lid of a jar . the new diameter is 30 per cent larger than the original . by what percentage has the area of the logo increased ? 
Options: a ) 50 , b ) 80 , c ) 69 , d ) 125 , e ) 250
Output: c
Problem: the area of an isosceles trapezoid with sides of length 5 and bases of length 9 and 15 is ? 
Options: a ) 44 , b ) 48 , c ) 46 , d ) 47 , e ) 50
Output: b
Problem: a circle in the coordinate plane passes through points ( - 3 , - 2 ) and ( 1 , - 4 ) . what is the smallest possible area of that circle ? 
Options: a ) 13 π , b ) 26 π , c ) 262 √ π , d ) 5 π , e ) 64 π
Output: d
Problem: the diagonals of a rhombus are 17 cm and 20 cm . find its area ? 
Options: a ) 176 , b ) 186 , c ) 150 , d ) 170 , e ) 172
Output: d
Problem: find the perimeter and area of a square of side 19 cm . 
Options: a ) 324 , b ) 361 , c ) 400 , d ) 441 , e ) 484
Output: b
Problem: what should be added to 4872 so that it may become a perfect square ? 
Options: a ) 24 , b ) 25 , c ) 26 , d ) 27 , e ) 28
Output: e
Problem: if the sides of a triangle are 9 cm , 16 cm and 19 cm , what is its area ? 
Options: a ) 69 , b ) 72 , c ) 75 , d ) 89 , e ) 93
Output: b
Problem: the radius of the two circular fields is in the ratio 3 : 5 the area of the first field is what percent less than the area of the second ? 
Options: a ) 23 % , b ) 62 % , c ) 92 % , d ) 64 % , e ) 22 %
Output: d
Problem: if the length of the longest chord of a certain circle is 24 , what is the radius of that certain circle ? 
Options: a ) 12 , b ) 5 , c ) 10 , d ) 15 , e ) 20
Output: a
Problem: find the surface area of a 10 cm x 4 cm x 2 cm brick . 
Options: a ) 136 cu cm , b ) 124 cu cm , c ) 164 cu cm , d ) 180 cu cm , e ) none
Output: a
Problem: a semicircle has a radius of 11 . what is the approximate perimeter of the semicircle ? 
Options: ['a ) 45', 'b ) 51', 'c ) 57', 'd ) 63', 'e ) 69']
Output: c
Problem: the length of a rectangle is twice the breadth . if the area is 128 cm 2 , determine the length and the breadth . 
Options: ['a ) b = 2 , l = 9', 'b ) b = 8 , l = 16', 'c ) b = 9 , l = 9', 'd ) b = 4 , l = 14', 'e ) b = 3 , l = 9']
Output: b
Problem: a cube is divided into 729 identical cubelets . each cut is made parallel to some surface of the cube . but before doing that the cube is coloured with green colour on one set of adjacent faces , red on the other set of adjacent faces , blue on the third set . so , how many cubelets are there which are painted with exactly one colour ? 
Options: a ) 293 , b ) 294 , c ) 295 , d ) 296 , e ) 298
Output: b
Problem: in the coordinate plane , one of the vertices of a square is the point ( - 5 , - 4 ) . if the diagonals of that square intersect at point ( 3 , 2 ) , what is the area of that square ? 
Options: a ) 100 , b ) 225 , c ) 169 , d ) 256 , e ) 324
Output: d
Problem: find the volume , curved surface area and the total surface area of a cylinder with diameter of base 7 cm and height 40 cm . 
Options: ['a ) 952 cm ^ 2', 'b ) 957 cm ^ 2', 'c ) 954 cm ^ 2', 'd ) 958 cm ^ 2', 'e ) none of them']
Output: b
Problem: the slant height of a cone is 10 cm and radius of the base is 5 cm , find the curved surface of the cone . 
Options: a ) 250 , b ) 170 , c ) 148 , d ) 157 , e ) 150
Output: d
Problem: the length of the rectangular field is double its width . inside the field there is square shaped pond 8 m long . if the area of the pond is 1 / 98 of the area of the field . what is the length of the field ? 
Options: a ) 73 , b ) 32 , c ) 34 , d ) 43 , e ) 112
Output: e
Problem: the perimeter of a square is equal to the radius of a circle having area 39424 sq cm , what is the area of square ? 
Options: ['a ) 1225 sq cm', 'b ) 441 sq cm', 'c ) 784 sq cm', 'd ) can ’ t say', 'e ) none of these']
Output: c
Problem: the admission charge in a water park is $ 1 by adult and $ 0.75 by child accompanying an adult . how much was there of child with an adult who paid in quite $ 3.25 to have access to the water park ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: c
Problem: the length of a rectangle is 4 times its width . if the width of the rectangle is 5 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 75 square inches , c ) 100 square inches , d ) 89 square inches , e ) 92 square inches
Output: c
Problem: the perimeter of a square is equal to the perimeter of a rectangle of length 17 cm and breadth 14 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) 
Options: a ) 23.57 , b ) 23.54 , c ) 23.5 , d ) 24.35 , e ) 24.51
Output: d
Problem: the length of a rectangualr hll is 5 m more than its breadth . the area of the hall is 750 m . the length of the hall is 
Options: ['a ) 15 m', 'b ) 22.5 m', 'c ) 25 m', 'd ) 30 m', 'e ) none']
Output: c
Problem: what is the area of square field whose side of length 8 m ? 
Options: a ) 225 , b ) 64 , c ) 772 , d ) 882 , e ) 21
Output: b
Problem: the cost of the paint is rs . 36.50 per kg . if 1 kg of paint covers 16 squares feet , how much will it cost to paint outside of a cube having 8 feet each side ? 
Options: a ) rs . 692 , b ) rs . 768 , c ) rs . 876 , d ) rs . 972 , e ) none
Output: c
Problem: the cube root of . 000343 is 
Options: a ) 0.7 , b ) 0.07 , c ) 0.007 , d ) 7 , e ) none of these
Output: b
Problem: the area of an isosceles trapezoid with sides of length 5 and bases of length 7 and 13 is ? 
Options: ['a ) 40', 'b ) 41', 'c ) 42', 'd ) 43', 'e ) 44']
Output: a
Problem: find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 5 cm and 4 cm ? 
Options: a ) 189 cm 2 , b ) 150 cm 2 , c ) 127 cm 2 , d ) 177 cm 2 , e ) 90 cm 2
Output: e
Problem: the perimeter of a triangle is 36 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle 
Options: a ) a ) 72 , b ) b ) 45 , c ) c ) 729 , d ) d ) 34 , e ) e ) 35
Output: b
Problem: if paint costs $ 3.20 per quart , and a quart covers 10 square feet , how much will it cost to paint the outside of a cube 10 feet on each edge ? 
Options: a ) $ 1.60 , b ) $ 16.00 , c ) $ 96.00 , d ) $ 108.00 , e ) $ 192.00
Output: e
Problem: thin rectangular slab of potato was cut into two pieces for an osmosis lab . one piece is 50 mm greater than the other . if the original uncut slab is 600 mm , what is the length of the other piece of the potato after it is cut . 
Options: ['a ) 550', 'b ) 275', 'c ) 50', 'd ) 300', 'e ) 250']
Output: b
Problem: the radius of a cylinder is 8 m , height 13 m . the volume of the cylinder is : 
Options: a ) 2200 , b ) 2614.9 , c ) 3300 , d ) 1100 , e ) 4400
Output: b
Problem: juan and his five friends will sit on six fixed seats around a circular table . if juan must sit on the seat closest to the window and jamal must sit next to juan , in how many can juan and his five friends sit ? 
Options: ['a ) 20', 'b ) 24', 'c ) 48', 'd ) 72', 'e ) 120']
Output: c
Problem: the length of one pair of opposite sides of a square is increased by 5 cm on each side the ratio of the length and the breadth of the newly formed rectangle becomes 3 : 2 . what is the area of the original square ? 
Options: ['a ) 25 sq . cm', 'b ) 81 sq . cm', 'c ) 120 sq . cm', 'd ) 225 sq . cm', 'e ) none of these']
Output: e
Problem: the edges of cuboid are 4 cm ; 5 cm and 6 cm . find its surface area ? 
Options: ['a ) 228', 'b ) 148', 'c ) 992', 'd ) 772', 'e ) 222']
Output: b
Problem: find the area of a parallelogram with base 14 cm and height 24 cm . 
Options: a ) 336 , b ) 384 , c ) 345 , d ) 244 , e ) 242
Output: a
Problem: if the sides of a cube are in the ratio 7 : 3 . what is the ratio of their diagonals ? 
Options: a ) 9 : 4 , b ) 8 : 4 , c ) 7 : 4 , d ) 7 : 3 , e ) 6 : 4
Output: d
Problem: if the sides of a rectangle are increased by 35 % , what is the percentage increase in the area ? 
Options: a ) 38.25 % , b ) 40.25 % , c ) 82.25 % , d ) 50 % , e ) 65 %
Output: c
Problem: what should be added to 4329 so that it may become a perfect square ? 
Options: a ) 24 , b ) 25 , c ) 26 , d ) 27 , e ) 28
Output: d
Problem: in the xy - plane , a triangle has vertices ( 0,0 ) , ( 4,0 ) and ( 4,9 ) . if a point ( a , b ) is selected at random from the triangular region , what is the probability that a - b > 0 ? 
Options: a ) 1 / 5 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 9 , e ) 4 / 5
Output: d
Problem: the ratio of the volumes of two cubes is 8 : 27 what is the ratio of their total surface areas ? 
Options: a ) 2 : 4 , b ) 3 : 6 , c ) 4 : 12 , d ) 4 : 9 , e ) 1 : 3
Output: d
Problem: a cylindrical cube of radius 12 cm contains water upto a depth of 20 cm . a spherical iron ball is dropped into the tub and thus the level of water is raised by 6.75 cm . the radius of the ball is : 
Options: ['a ) 7 cm', 'b ) 8.5 cm', 'c ) 9 cm', 'd ) 9.5 cm', 'e ) none']
Output: c
Problem: the area of a parallelogram is 288 sq m and its altitude is twice the corresponding base . then the length of the base is ? 
Options: a ) 12 , b ) 9 , c ) 7 , d ) 6 , e ) 5
Output: a
Problem: if k and w are the dimensions of a rectangle that has area 20 and if k and w are integers such that k > w , what is the total number of possible values of k ? 
Options: ['a ) two', 'b ) three', 'c ) four', 'd ) five', 'e ) six']
Output: b
Problem: a cubical block of metal weighs 5 pounds . how much will another cube of the same metal weigh if its sides are twice as long ? 
Options: ['a ) 48', 'b ) 40', 'c ) 24', 'd ) 18', 'e ) 12']
Output: b
Problem: the diagonals of two squares are in the ratio of 3 : 7 then find the ratio of its areas ? 
Options: a ) 7 : 37 , b ) 6 : 46 , c ) 9 : 49 , d ) 8 : 68 , e ) 6 : 61
Output: c
Problem: a hall is 15 m long and 12 m broad . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , the volume of the hall is 
Options: a ) 720 , b ) 900 , c ) 1200 , d ) 1800 , e ) none
Output: c
Problem: the perimeter of a rectangular yard is completely surrounded by a fence that measures 12 meters . what is the length of the yard if the area of the yard is 9 meters squared ? 
Options: ['a ) 8', 'b ) 1', 'c ) 3', 'd ) 4', 'e ) 6']
Output: b
Problem: a rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 4 per sq m ? 
Options: a ) 2288 , b ) 2779 , c ) 2779 , d ) 5200 , e ) 2781
Output: d
Problem: the radius of a cylinder is 10 m , height 14 m . the volume of the cylinder is : 
Options: a ) 2200 , b ) 5500 , c ) 3300 , d ) 1100 , e ) 4400
Output: e
Problem: in the xy - plane , a triangle has vertices ( 0,0 ) , ( 4,0 ) and ( 4,8 ) . if a point ( a , b ) is selected at random from the triangular region , what is the probability that a - b > 0 ? 
Options: a ) 1 / 5 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 4 / 5
Output: c
Problem: a rectangular field is to be fenced on three sides leaving a side of 10 feet uncovered . if the area of the field is 680 sq . ft , how many feet of fencing will be required ? 
Options: a ) 144 ft , b ) 88 ft , c ) 22 ft , d ) 112 ft , e ) 146 t
Output: e
Problem: a triangle has sides 10 , 17 , and 21 . a square is inscribed in the triangle . one side of the square lies on the longest side of the triangle . the other two vertices of the square touch the two shorter sides of the triangle . what is the length of the side of the square ? 
Options: ['a ) 148 / 29', 'b ) 168 / 29', 'c ) 168 / 26', 'd ) 158 / 29', 'e ) 198 / 29']
Output: b
Problem: the volume of a certain substance is always directly proportional to its weight . if 48 cubic inches of the substance weigh 114 ounces , what is the volume , in cubic inches , of 63 ounces of this substance ? 
Options: a ) 27 , b ) 26 , c ) 42 , d ) 64 , e ) 147
Output: b
Problem: each of the 35 points is placed either inside or on the surface of a perfect sphere . if 88 % or fewer of the points touch the surface , what is the maximum number of segments which , if connected from those points to form chords , could be the diameter of the sphere ? 
Options: a ) 7 , b ) 11 , c ) 13 , d ) 14 , e ) 15
Output: e
Problem: the length of a rectangular field is 7 / 5 its width . if the perimeter of the field is 360 meters , what is the width of the field ? 
Options: a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 75
Output: e
Problem: tough and tricky questions : number properties . what is the smallest positive integer x such that 1512 x is the cube of a positive integer ? 
Options: a ) 7 , b ) 14 , c ) 28 , d ) 35 , e ) 49
Output: e
Problem: a tailor trims 6 feet from opposite edges of a square piece of cloth , and 5 feet from the other two edges . if 80 square feet of cloth remain , what was the length of a side of the original piece of cloth ? 
Options: a ) 16 , b ) 18 , c ) 20 , d ) 24 , e ) 32
Output: c
Problem: four concentric circles r given . the radius of 1 st circle is x . next is 2 x , then 3 x and 4 x . given that area b / w 2 nd and 1 st is a and 4 th and 3 rd circles being b . find ratio of a to b 
Options: ['a ) 2 : 7', 'b ) 1 : 7', 'c ) 3 : 5', 'd ) 3 : 7', 'e ) 3 : 4']
Output: d
Problem: a rectangular pig farm has a fence along three sides and a wall along the fourth side . the fenced side opposite the wall is twice the length of each of the other two fenced sides . if the area of the rectangular region is 1250 square feet , what is the total length of the fence , in feet ? 
Options: ['a ) 25', 'b ) 50', 'c ) 100', 'd ) 150', 'e ) 200']
Output: d
Problem: the sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 240 m , its area is ? 
Options: a ) 150 , b ) 882 , c ) 277 , d ) 261 , e ) 120
Output: e
Problem: 2 minute is taken to travel the diagonal of square field at 3 km / hour . calculate the area of field ? 
Options: ['a ) 25 are', 'b ) 30 are', 'c ) 50 are', 'd ) 60 are', 'e ) 45 are']
Output: c
Problem: the measurement of a rectangular box with lid is 25 cmx 4 cmx 18 cm . find the volume of the largest sphere that can be inscribed in the box ( in terms of π cm 3 ) . ( hint : the lowest measure of rectangular box represents the diameter of the largest sphere ) 
Options: a ) 11.12 , b ) 10.11 , c ) 72 , d ) 10.66 , e ) 9.2
Output: d
Problem: two cubes have their volumes are in the ratio 1 : 27 . find the ratio of their surface area ? 
Options: ['a ) 1 : 2', 'b ) 2 : 3', 'c ) 1 : 9', 'd ) 2 : 7', 'e ) 3 : 11']
Output: c
Problem: if radius of a circle is reduced by 10 % , then how much % of its area will be reduced ? 
Options: ['a ) 10 %', 'b ) 19 %', 'c ) 20 %', 'd ) 36 %', 'e ) 30 %']
Output: b
Problem: a certain cube floating in a bucket of water has between 70 and 85 percent of its volume below the surface of the water . if between 8 and 20 cubic centimeters of the cube ' s volume is above the surface of the water , then the length of a side of the cube is approximately 
Options: a ) 4 , b ) 5 , c ) 7 , d ) 8 , e ) 9
Output: a
Problem: the radius of the circle is reduced from 5 cm to 4 cm then the % change of area . 
Options: ['a ) 36 %', 'b ) 37 %', 'c ) 35 %', 'd ) 38 %', 'e ) 39 %']
Output: a
Problem: how many 3 x 3 x 3 cubes could fit in a 10 x 24 x 16 box ? 
Options: a ) 150 , b ) 145 , c ) 138 , d ) 142 , e ) 175
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 400 sq . ft , how many feet of fencing will be required ? 
Options: a ) 60 feet , b ) 50 feet , c ) 40 feet , d ) 30 feet , e ) 5 feet
Output: a
Problem: a hall is 15 m long and 12 m broad . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , the volume of the hall is : 
Options: a ) 3348 , b ) 3898 , c ) 1200 , d ) 2881 , e ) 7881
Output: c
Problem: a rectangle with width 8 and diagonal 30 . find the area ? 
Options: ['a ) 240 square units', 'b ) 180 square units', 'c ) 100 square units', 'd ) 150 square units', 'e ) 160 square units']
Output: a
Problem: 30 square stone slabs of equal size were needed to cover a floor area of 50.7 sq . m . find the length of each stone slab ? 
Options: a ) 130 cm , b ) 767 cm , c ) 88 cm , d ) 666 cm , e ) 776 cm
Output: a
Problem: find the area of a parallelogram with base 12 cm and height 8 cm ? 
Options: a ) 96 cm 2 , b ) 104 cm 2 , c ) 78 cm 2 , d ) 86 cm 2 , e ) 76 cm 2
Output: a
Problem: in measuring the sides of a rectangle , one side is taken 14 % in excess and other 5 % in deficit . find the error percentage in the area calculated from these measurements . 
Options: a ) 3.5 % , b ) 2.4 % , c ) 8.3 % , d ) 5 % , e ) 2.6 %
Output: c
Problem: the length of a rectangular garden is 2 feet longer than 3 times its width . if the perimeter of the garden is 100 feet , find the width and the length of the garden . 
Options: a ) 80 , b ) 90 , c ) 100 , d ) 70 , e ) 110
Output: c
Problem: what is the % change in the area of a rectangle when its length increases by 35 % and its width decreases by 35 % ? 
Options: ['a ) 0 %', 'b ) 20 % increase', 'c ) 20 % decrease', 'd ) 12 % decrease', 'e ) insufficient data']
Output: d
Problem: if the length of a rectangle is increased by 20 % and the breadth is reduced by 20 % , what will be the effect on its area ? 
Options: ['a ) 4 % increase', 'b ) 6 % increase', 'c ) 5 % decrease', 'd ) 4 % decrease', 'e ) none of these']
Output: d
Problem: a rectangular lawn of dimensions 80 m * 40 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 3 per sq m ? 
Options: a ) 2288 , b ) 2779 , c ) 3300 , d ) 3900 , e ) 2781
Output: c
Problem: the perimeter of an isosceles right triangle is 12 + 12 sq rt 2 . what is the length of the hypotenuse of the triangle ? 
Options: ['a ) 5', 'b ) 6', 'c ) 7', 'd ) 8.485', 'e ) 8']
Output: d
Problem: find the area of a parallelogram with base 12 cm and height 48 cm ? 
Options: a ) 122 cm 2 , b ) 576 cm 2 , c ) 246 cm 2 , d ) 42 cm 2 , e ) 39 cm 2
Output: b
Problem: there are thirty - 4 lines that are tangent to a circle , and these lines create regions in the plane . can you tell how many of these regions are not enclosed ? 
Options: a ) 50 , b ) 74 , c ) 37 , d ) 77 , e ) 68
Output: e
Problem: in a rectangular coordinate system , what is the area of a rectangle whose vertices have the coordinates ( - 4 , 1 ) , ( 1 , 1 ) , ( 1 , - 3 ) and ( - 4 , - 3 ) ? 
Options: a ) 16 , b ) 20 , c ) 24 , d ) 25 , e ) 30
Output: b
Problem: a rectangular tiled patio is composed of 96 square tiles . the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles . after the change in layout , the patio will still have 96 tiles , and it will still be rectangular . how many rows are in the tile patio before the change in layout ? 
Options: a ) 5 , b ) 6 , c ) 8 , d ) 13 , e ) 28
Output: c
Problem: the length of a rectangle is halved , while its breadth is tripled . watis the % change in area ? 
Options: a ) 43 % , b ) 47 % , c ) 50 % , d ) 65 % , e ) 68 %
Output: c
Problem: if y is the smallest positive integer such that 11,025 multiplied by y is the square of an integer , then y must be 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 7 , e ) 14
Output: b
Problem: when magnified 1000 times by an electron microscope , the image of a certain circular piece of tissue has a diameter of 0.3 centimeter . the actual diameter of the tissue , in centimeters , is 
Options: a ) 0.005 , b ) 0.002 , c ) 0.001 , d ) 0.0003 , e ) 0.0002
Output: d
Problem: the area of a parallelogram is 147 sq m and its base is thrice the corresponding height . then the length of the base is ? 
Options: a ) 14 m , b ) 29 m , c ) 49 m , d ) 7 , e ) none
Output: d
Problem: the ratio of radius of a circle and the side of a square is 2 : 11 . find the ratio of their areas : 
Options: a ) 2 : 1 , b ) 4 : 7 , c ) 8 : 77 , d ) 4 : 121 , e ) none
Output: d
Problem: the area of a rectangular plot is 24 times its breadth . if the difference between the length and the breadth is 10 metres , what is its breadth ? 
Options: ['a ) 14 metres', 'b ) 5 metres', 'c ) 7.5 metres', 'd ) data inadequate', 'e ) none of these']
Output: a
Problem: a lady builds 10 cm length , 13 cm width , and 5 cm height box using 5 cubic cm cubes . what is the minimum number of cubes required to build the box ? 
Options: a ) 107 , b ) 108 , c ) 130 , d ) 150 , e ) 145
Output: c
Problem: a rectangular floor that measures 8 meters by 10 meters is to be covered with carpet squares that each measure 2 meters by 2 meters . if the carpet squares cost $ 10 apiece , what is the total cost for the number of carpet squares needed to cover the floor ? 
Options: a ) $ 200 , b ) $ 240 , c ) $ 480 , d ) $ 960 , e ) $ 1,920
Output: a
Problem: a circular well with a diameter of 2 metres , is dug to a depth of 14 metres . what is the volume of the earth dug out ? 
Options: a ) 32 m 3 , b ) 36 m 3 , c ) 40 m 3 , d ) 44 m 3 , e ) none
Output: d
Problem: a perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer . how many positive integers n are there such that n is less than 5,000 and at the same time n is a perfect square and a perfect cube ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Output: c
Problem: eight cubes , each with a volume of 512 cm ^ 3 , are joined to form one large cube . what is the surface area of the large cube ? 
Options: ['a ) 4096 sq cm', 'b ) 1536 sq cm', 'c ) 1024 sq cm', 'd ) 2048 sq cm', 'e ) 512 sq cm']
Output: b
Problem: what positive number , when squared , is equal to the cube of the positive square root of 18 ? 
Options: a ) 64 , b ) 32 , c ) 8 , d ) 4 , e ) 9
Output: e
Problem: in a certain circle there are 10 points . what is the number of the triangles connecting 2 points of the 10 points ? 
Options: a ) 40 , b ) 45 , c ) 108 , d ) 120 , e ) 132
Output: b
Problem: the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 507 sq m , then what is the breadth of the rectangular plot ? 
Options: a ) 16 , b ) 17 , c ) 13 , d ) 19 , e ) 14
Output: c
Problem: what will be the ratio between the area of a rectangle and the area of a triangle with one of the sides of rectangle as base and a vertex on the opposite side of rectangle . 
Options: a ) 1 : 2 , b ) 2 : 1 , c ) 3 : 1 , d ) data inadequate , e ) none of these
Output: b
Problem: a rectangular floor that measures 15 meters by 18 meters is to be covered with carpet squares that each measure 3 meters by 3 meters . if the carpet squares cost $ 12 apiece , what is the total cost for the number of carpet squares needed to cover the floor ? 
Options: a ) $ 200 , b ) $ 240 , c ) $ 360 , d ) $ 960 , e ) $ 1,920
Output: c
Problem: find the area of a parallelogram with base 24 cm and height 10 cm ? 
Options: a ) 240 cm 2 , b ) 384 cm 2 , c ) 279 cm 2 , d ) 200 cm 2 , e ) 297 cm 2
Output: a
Problem: if the height of a cone is increased by 100 % then its volume is increased by ? 
Options: a ) 200 % , b ) 300 % , c ) 100 % , d ) 500 % , e ) 350 %
Output: c
Problem: a snooker tournament charges $ 45.00 for vip seats and $ 20.00 for general admission ( “ regular ” seats ) . on a certain night , a total of 320 tickets were sold , for a total cost of $ 7,500 . how many fewer tickets were sold that night for vip seats than for general admission seats ? 
Options: a ) 200 , b ) 276 , c ) 230 , d ) 240 , e ) 250
Output: b
Problem: if the dimensions of a certain rectangular box are 5 inches by 2 inches by 3 inches , then the face of greatest area is of what area ? 
Options: ['a ) 225 square inches', 'b ) 45 square inches', 'c ) 25 square inches', 'd ) 15 square inches', 'e ) 10 square inches']
Output: d
Problem: if the sides of a triangle are 26 cm , 24 cm and 12 cm , what is its area ? 
Options: a ) 144 , b ) 772 , c ) 288 , d ) 266 , e ) 2848
Output: a
Problem: a rectangular grass field is 85 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ? 
Options: a ) 1450 , b ) 1971 , c ) 9676 , d ) 1679 , e ) 2691
Output: a
Problem: the diagonal of a square is 4 ? 2 cm . what will be the diameter of another square if their area is double that of the first square ? 
Options: ['a ) 8 cm', 'b ) 9 cm', 'c ) 10 cm', 'd ) 11 cm', 'e ) 12 cm']
Output: a
Problem: what is the perimeter of a square field whose diagonal is 4 √ 2 ? 
Options: a ) 16 m , b ) 32 m , c ) 27 m , d ) 26 m , e ) 76 m
Output: a
Problem: in the xy - plane , a triangle has vertices ( 0,0 ) , ( 4,0 ) and ( 4,10 ) . if a point ( a , b ) is selected at random from the triangular region , what is the probability that a - b > 0 ? 
Options: a ) 1 / 5 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 2 / 5
Output: e
Problem: the length of the rectangular field is double its width . inside the field there is square shaped pond 7 m long . if the area of the pond is 1 / 8 of the area of the field . what is the length of the field ? 
Options: a ) 54 , b ) 32 , c ) 75 , d ) 28 , e ) 11
Output: d
Problem: two tracks are parallel . the first track has 6 checkpoints and the second one has 10 checkpoints . in how many ways can the 6 checkpoints of first track be joined with the 10 checkpoints of the second to form a triangle ? 
Options: ['a ) 120', 'b ) 150', 'c ) 200', 'd ) 270', 'e ) 420']
Output: e
Problem: surface area of a sphere is 2464 cm 2 . if its radius is doubled , then the surface area of the new sphere will be 
Options: ['a ) 4920 cm 2', 'b ) 4727 cm 2', 'c ) 9856 cm 2', 'd ) 19712 cm 2', 'e ) none']
Output: c
Problem: if the sides of a triangle are 30 cm , 28 cm and 10 cm , what is its area ? 
Options: a ) 120 , b ) 110 , c ) 130 , d ) 140 , e ) 150
Output: d
Problem: if the height of a cone is increased by 160 % then its volume is increased by ? 
Options: a ) 100 , b ) 777 , c ) 998 , d ) 729 , e ) 160
Output: e
Problem: the larger interior angle of a parallelogram is 90 ° more than its smaller interior angle . what is the measure of the smaller interior angle of the parallelogram ? 
Options: a ) 90 ° , b ) 75 ° , c ) 60 ° , d ) 45 ° , e ) 30 °
Output: d
Problem: the area of a circular field is 13.86 hectares . find the cost of fencing it at the rate of rs . 4.40 per metre . 
Options: a ) 2399 , b ) 3888 , c ) 2999 , d ) 5808 , e ) 2888
Output: d
Problem: in a rectangular coordinate system , what is the area of a quadrilateral whose vertices have the coordinates ( 4 , - 3 ) , ( 4 , 7 ) , ( 12 , 2 ) , ( 12 , - 7 ) ? 
Options: ['a ) 64', 'b ) 68', 'c ) 72', 'd ) 76', 'e ) 80']
Output: d
Problem: frank the fencemaker needs to fence in a rectangular yard . he fences in the entire yard , except for one full side of the yard , which equals 40 feet . the yard has an area of 320 square feet . how many feet offence does frank use ? 
Options: a ) 14 , b ) 47 , c ) 54 , d ) 56 , e ) 240
Output: d
Problem: if the area of a square with sides of length 4 centimeters is equal to the area of a rectangle with a width of 4 centimeters , what is the length of the rectangle , in centimeters ? 
Options: a ) 14 , b ) 8 , c ) 12 , d ) 4 , e ) 18
Output: d
Problem: the following questions are based on the information given . choose the appropriate answer that suits the question based on the information . a cube is cut in two equal parts along a plane parallel to one of its faces . one piece is then colored red on the two larger faces and green on remaining . while the other is colored green on two smaller adjacent faces and red on the remaining . each is then cut into 32 cubes of same size and mixed up . 21 . how many cubes have only one colored face each ? 
Options: ['a ) 32', 'b ) 8', 'c ) 16', 'd ) 24', 'e ) 0']
Output: c