niryuu/sni-each-converted huggingface dataset:
Problem: if the height of a triangle is decreased by 40 % , land its base is increased by 40 % , what will be the effect on its area ? 
Options: ['a ) no change', 'b ) 16 % increase', 'c ) 8 % decrease', 'd ) 16 % decrease', 'e ) none of thes']
Output: d
Problem: the dimensions of a rectangular solid are 4 inches , 5 inches , and 9 inches . if a cube , a side of which is equal to one of the dimensions of the rectangular solid , is placed entirely within thespherejust large enough to hold the cube , what the ratio of the volume of the cube to the volume within thespherethat is not occupied by the cube ? 
Options: a ) 2 : 5 , b ) 5 : 9 , c ) 5 : 16 , d ) 25 : 7 , e ) 32 : 25
Output: b
Problem: the area of a parallelogram is 128 sq m . then the area of a triangle formed by its diagonal is - - - - - - - - - - ? 
Options: ['a ) 128 m', 'b ) 64 m', 'c ) 64 m ^ 2', 'd ) 128 m ^ 2', 'e ) none']
Output: b
Problem: the area of a square field is 1225 km 2 . how long will it take for a horse to run around at the speed of 20 km / h ? 
Options: a ) 7 h , b ) 10 h , c ) 8 h , d ) 6 h , e ) none of these
Output: a
Problem: the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 384 square centimeters , what is the length of the rectangle in centimeters ? 
Options: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24
Output: e
Problem: if the sides of a cube are in the ratio 5 : 3 . what is the ratio of their diagonals ? 
Options: ['a ) 5 : 9', 'b ) 9 : 3', 'c ) 5 : 4', 'd ) 3 : 5', 'e ) 5 : 3']
Output: e
Problem: a rectangle having length 150 cm and width 40 cm . if the length of the rectangle is increased by fifteen percent then how much percent the breadth should be decreased so as to maintain the same area . 
Options: a ) 25 % , b ) 9.09 % , c ) 40 % , d ) 75 % , e ) none of these
Output: b
Problem: what will be the cost of building a fence around a square plot with area equal to 144 sq ft , if the price per foot of building the fence is rs . 58 ? 
Options: a ) 2784 , b ) 2287 , c ) 2977 , d ) 2668 , e ) 1298
Output: a
Problem: what will be the ratio between the area of a rectangle and the area of a triangle with one of the sides of the rectangle as base and a vertex on the opposite side of the rectangle ? 
Options: ['a ) 1 : 1', 'b ) 1 : 2', 'c ) 2 : 3', 'd ) 2 : 1', 'e ) none of these']
Output: d
Problem: a cube is divided into 64 identical cubelets . each cut is made parallel to some surface of the cube . but before doing that , the cube is painted with green on one set of opposite faces , red on another set of opposite faces , and blue on the third set of opposite faces . how many cubelets are painted with exactly one colour ? 
Options: a ) 12 , b ) 16 , c ) 20 , d ) 24 , e ) 30
Output: d
Problem: the length and breadth of the floor of the room are 20 feet and 10 feet respectively . square tiles of 2 feet length of different colours are to be laid on the floor . black tiles are laid in the first row on all sides . if white tiles are laid in the one - third of the remaining and blue tiles in the rest , how many blue tiles will be there ? 
Options: ['a ) 16', 'b ) 24', 'c ) 32', 'd ) 48', 'e ) none of these']
Output: a
Problem: what is the ratio e of the surface area of a cube to the surface area of a rectangular solid identical to the cube in all ways except that its length has been doubled ? 
Options: ['a ) 1 / 4', 'b ) 3 / 8', 'c ) 1 / 2', 'd ) 3 / 5', 'e ) 2']
Output: d
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 ) 2130 , b ) 3620 , c ) 4512 , d ) 5620 , e ) 5120
Output: e
Problem: the ratio of the volumes of two cubes is 3375 : 1331 . what is the ratio of their total surface areas ? 
Options: a ) 225 : 121 , b ) 221 : 127 , c ) 225 : 191 , d ) 181 : 161 , e ) 81 : 182
Output: a
Problem: abcd is a square where ab = √ 2016 . let x be a point on ab and y be a point on cd such that ax = cy . compute the area of trapezoid axyd . 
Options: a ) 3008 , b ) 2002 , c ) 1008 , d ) 2016 , e ) 3000
Output: c
Problem: the area of a side of a box is 120 sq cm . the area of the other side of the box is 72 sq cm . if the area of the upper surface of the box is 60 sq cm then find the volume of the box . 
Options: ['a ) 259200 cm 3', 'b ) 86400 cm 3', 'c ) 720 cm 3', 'd ) can not be determined', 'e ) none of these']
Output: c
Problem: a circular ground whose radius is 15 metres , has a 1.2 metre - broad garden around it . what is the area of the garden in square metres ? 
Options: ['a ) 118.67', 'b ) 116.67', 'c ) 117.67', 'd ) 120.56', 'e ) 120.57']
Output: c
Problem: how many diagonals does a polygon with 15 sides have , if one of its vertices does not connect to any diagonal ? 
Options: ['a ) 80', 'b ) 90', 'c ) 77', 'd ) 88', 'e ) 99']
Output: c
Problem: the perimeter of a rectangular yard is completely surrounded by a fence that measures 18 meters . what is the length of the yard if the area of the yard is 20 meters squared ? 
Options: a ) 8 , b ) 2 , c ) 7 , d ) 5 , e ) 1
Output: d
Problem: the slant height of a cone is 13 cm and radius of the base is 9 cm , find the curved surface of the cone ? 
Options: a ) 367 , b ) 378 , c ) 365 , d ) 26 , e ) 28
Output: a
Problem: a rectangular field has to be fenced on three sides leaving a side of 25 feet uncovered . if the area of the field is 880 sq . feet , how many feet of fencing will be required ? 
Options: a ) 75.4 feet , b ) 98.4 feet , c ) 95.4 feet , d ) 85.4 feet , e ) 92.4 feet
Output: c
Problem: a certain rectangular crate measures 8 feet by 14 feet by 16 feet . a cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces . what should the radius of the tank be if it is to be of the largest possible volume ? 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 8 , e ) 10
Output: c
Problem: the sides of a cube are in the ratio of 1 : 2 the ratio of their volumes is ? 
Options: a ) 1 : 2 , b ) 1 : 4 , c ) 1 : 8 , d ) 2 : 1 , e ) 2 : 4
Output: c
Problem: the length and breadth of a rectangle is increased by 5 % and 15 % respectively . what is the increase in the area ? 
Options: a ) 21.25 , b ) 22.75 , c ) 19.25 , d ) 20.75 , e ) 22.25
Output: d
Problem: the radius of a cylinder is 9 m , height 12 m . the volume of the cylinder is : 
Options: a ) 2200 , b ) 5500 , c ) 3054.9 , d ) 1100 , e ) 4400
Output: c
Problem: d and e are two points respectively on sides ab and ac of triangle abc such that de is parallel to bc . if the ratio of area of triangle ade to that of the trapezium decb is 144 : 25 and de = 13 cm , then find the length of bc . 
Options: ['a ) 5', 'b ) 13', 'c ) 14', 'd ) 11', 'e ) 15']
Output: a
Problem: if the sides of a triangle are 26 cm , 24 cm and 15 cm , what is its area ? 
Options: a ) 120 , b ) 772 , c ) 180 , d ) 266 , e ) 2848
Output: c
Problem: difference between the length & breadth of a rectangle is 30 m . if its perimeter is 300 m , then its area is ? ? we have : ( l - b ) = 30 and 2 ( l + b ) = 300 or ( l + b ) = 150 ? 
Options: a ) 3 : 5 , b ) 2 : 3 , c ) 3 : 6 , d ) 3 : 4 , e ) 3 : 2
Output: e
Problem: a box measuring 25 inches long by 30 inches wide by 15 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ? 
Options: a ) 80 , b ) 82 , c ) 84 , d ) 88 , e ) 90
Output: e
Problem: a cube of edge 6 cm is cut into cubes each of edge 1 cm . the ratio of the total surface area of one of the small cubes to that of the large cube is equal to : 
Options: a ) 1 : 25 , b ) 1 : 36 , c ) 1 : 52 , d ) 1 : 522 , e ) none
Output: b
Problem: a wooden cube whose edge length is 6 inches is composed of smaller cubes with edge lengths of one inch . the outside surface of the large cube is painted red and then it is split up into its smaller cubes . if one cube is randomly selected from the small cubes , what is the probability that the cube will have at least one red face ? 
Options: ['a ) 54.9 %', 'b ) 58.7 %', 'c ) 62.5 %', 'd ) 66.3 %', 'e ) 70.4 %']
Output: e
Problem: the area of circle o is added to its diameter . if the circumference of circle o is then subtracted from this total , the result is 12 . what is the radius of circle o ? 
Options: ['a ) – 2 / pi', 'b ) 2', 'c ) 3', 'd ) 4', 'e ) 6']
Output: e
Problem: a rectangular wall is covered entirely with two kinds of decorative tiles : regular and jumbo . 1 / 3 of the tiles are jumbo tiles , which have a length three times that of regular tiles and have the same ratio of length to width as the regular tiles . if regular tiles cover 60 square feet of the wall , and no tiles overlap , what is the area of the entire wall ? 
Options: ['a ) 160', 'b ) 240', 'c ) 330', 'd ) 440', 'e ) 560']
Output: c
Problem: the ratio of the volumes of two cubes is 125 : 216 . what is the ratio of their total surface areas ? 
Options: a ) 13 : 18 , b ) 8 : 12 , c ) 1 : 12 , d ) 8 : 17 , e ) 1 : 11
Output: a
Problem: a rectangular farm has to be fenced one long side , one short side and the diagonal . if the cost of fencing is rs . 12 per meter . the area of farm is 1200 m 2 and the short side is 30 m long . how much would the job cost ? 
Options: a ) 1440 , b ) 1200 , c ) 2832 , d ) 1299 , e ) 1236
Output: a
Problem: the volume of the sphere qq is ( dfrac { 37 } { 64 } % ) less than thevolume of sphere pp and the volume of sphere rr is ( dfrac { 19 } { 27 } % ) less than that of sphere qq . by what is the surface areaof sphere rr less than the surfacearea of sphere pp ? 
Options: ['a ) 40 %', 'b ) 50 %', 'c ) 75 %', 'd ) 80 %', 'e ) 90 %']
Output: c
Problem: a circular grass lawn of 35 metres in radius has a path 7 metres wide running around it on the outside . find the area of path . 
Options: ['a ) 1694 m 2', 'b ) 1700 m 2', 'c ) 1598 m 2', 'd ) 1500 m 2', 'e ) none of thes']
Output: a
Problem: calculate the effect changes in dimension of a rectangle will have on its area , if length is increased by 20 % and its breadth is decreased by 5 % ? 
Options: ['a ) 14 percent increase', 'b ) 5 percent increase', 'c ) 24 percent increase', 'd ) 13 percent increase', 'e ) 11 percent increase']
Output: a
Problem: there is a right angle triangle inside a circle of diameter 18 cm . inside this triangle , there is another circle of diameter 6 cm . find the perimeter of the triangle . 
Options: ['a ) 24 cm', 'b ) 36 * 2 ^ 1 / 2 cm', 'c ) 36 cm', 'd ) 54 cm', 'e ) 42 cm']
Output: e
Problem: three fifth of the square of a certain number is 126.15 . what is the number ? 
Options: ['a ) 210.25', 'b ) 75.69', 'c ) 14.5', 'd ) 145', 'e ) 150']
Output: c
Problem: a cylindrical can has a radius of 3 centimeters and a height of 12 centimeters . what is the area , in square centimeters , of a rectangular label that completely covers the curved surface of the can without over - lapping ? 
Options: a ) 16 pi , b ) 72 pi , c ) 96 pi , d ) 192 pi , e ) 576 pi
Output: b
Problem: two cubes of their volumes in the ratio 8 : 125 . the ratio of their surface area is : 
Options: ['a ) 1.5 : 5', 'b ) 2 : 5', 'c ) 3 : 5', 'd ) 1 : 5', 'e ) 4 : 5']
Output: b
Problem: the number 150 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ? 
Options: a ) 17 , b ) 18 , c ) 15 , d ) 14 , e ) 13
Output: b
Problem: if the area of a triangle with base 6 cm is equal to the area of a square with side 6 cm , then the altitude of the triangle is 
Options: ['a ) 12 cm', 'b ) 10 cm', 'c ) 11 cm', 'd ) 15 cm', 'e ) 20 cm']
Output: a
Problem: the perimeter of a triangle is 32 cm and the inradius of the triangle is 3.5 cm . what is the area of the triangle ? 
Options: a ) 22 , b ) 35 , c ) 56 , d ) 54 , e ) 23
Output: c
Problem: 3 interviewers , x , y , and z are interviewing 40 applicants . only with 3 interviewers ' admission can an applicant be admitted . if interviewer x admitted 15 applicants , y admitted 17 applicants , and z admitted 20 applicants , at least how many applicants get the admission ? 
Options: a ) 0 , b ) 2 , c ) 6 , d ) 8 , e ) 12
Output: a
Problem: what is the area of a square field whose diagonal of length 30 m ? 
Options: a ) 287 , b ) 269 , c ) 450 , d ) 200 , e ) 230
Output: c
Problem: a metallic sheet is of rectangular shape with dimensions 48 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 6 m , the volume of the box ( in m 3 ) is : 
Options: a ) 4830 , b ) 5184 , c ) 6420 , d ) 8960 , e ) 7960
Output: b
Problem: the area of a square is 6400 sq cm . find the ratio of the breadth and the length of a rectangle whose length is thrice the side of the square and breadth is 30 cm less than the side of the square ? 
Options: a ) 5 : 24 , b ) 5 : 19 , c ) 5 : 13 , d ) 5 : 22 , e ) 5 : 18
Output: a
Problem: a cube is divided into 343 identical cubelets . each cut is made parallel to some surface of the cube . but before doing that , the cube is painted with green on one set of opposite faces , red on another set of opposite faces , and blue on the third set of opposite faces . how many cubelets are painted with exactly one colour ? 
Options: a ) 125 , b ) 150 , c ) 175 , d ) 200 , e ) 225
Output: b
Problem: the area of a circular field is 17.56 hectares . find the cost of fencing it at the rate of rs . 4 per metre approximately 
Options: a ) 4457 , b ) 4567 , c ) 5943 , d ) 4547 , e ) 4675
Output: c
Problem: the radius of the two circular fields is in the ratio 3 : 7 the area of the first field is what percent less than the area of the second ? 
Options: a ) 82.9 % , b ) 84.2 % , c ) 81.0 % , d ) 80.6 % , e ) 81.6 %
Output: e
Problem: when magnified 1,000 times by an electron microscope , the image of a certain circular piece of tissue has a diameter of 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: a larger cube has 64 cubic inch as a volume and in the cube there are 64 smaller cubes such that their volume is 1 cubic inch . what is the difference between the surface areas ’ sum of the 64 smaller cubes and the surface area of the larger cube , in square inch ? 
Options: a ) 54 , b ) 64 , c ) 81 , d ) 288 , e ) 120
Output: d
Problem: in a certain parallelogram the degree measure of one angle exceeds that of the other by 50 what is the degree measure of the smaller angle ? 
Options: a ) 65 , b ) 80 , c ) 85 , d ) 90 , e ) 95
Output: a
Problem: find the area of a rhombus one side of which measures 20 cm and one diagonal is 25 cm . 
Options: a ) 700 cm 2 , b ) 600 cm 2 , c ) 500 cm 2 , d ) 400 cm 2 , e ) 100 cm 2
Output: d
Problem: rectangular floors x and y have equal area . if floor x is 10 feet by 18 feet and floor y is 9 feet wide , what is the length of floor y , in feet ? 
Options: ['a ) 13 1 / 2', 'b ) 20', 'c ) 18 3 / 4', 'd ) 21', 'e ) 24']
Output: b
Problem: a cylindrical container of radius 6 cm and height 15 cm is filled with ice - cream . the whole icecream has to be distributed to 10 children in equal cones with hemispherical tops . if the height of the conical portion is four times the radius of its base , find the radius of the ice - cream cone . 
Options: ['a ) 1', 'b ) 2', 'c ) 3', 'd ) 4', 'e ) 5']
Output: c
Problem: if the length of the longest chord of a certain circle is 18 , what is the radius of that certain circle ? 
Options: a ) 2.5 , b ) 9 , c ) 10 , d ) 15 , e ) 20
Output: b
Problem: a cubical block of metal weighs 4 pounds . how much will another cube of the same metal weigh if its sides are twice as long ? 
Options: a ) 48 , b ) 32 , c ) 24 , d ) 18 , e ) 12
Output: b
Problem: a rectangular tiled patio is composed of 126 square tiles . the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles . after the change in layout , the patio will still have 126 tiles , and it will still be rectangular . how many rows are in the tile patio before the change in layout ? 
Options: ['a ) 5', 'b ) 6', 'c ) 9', 'd ) 13', 'e ) 28']
Output: c
Problem: what is the measure of the angle q made by the diagonals of the any adjacent sides of a cube . 
Options: a ) 30 , b ) 45 , c ) 60 , d ) 75 , e ) 90
Output: c
Problem: how many books each of volume 200 meter cube can be packed into a crate of volume 4000 meter cube ? 
Options: a ) 20 , b ) 40 , c ) 60 , d ) 80 , e ) can not be determined
Output: e
Problem: in the rectangle below , the line mn cuts the rectangle into two regions . find x the length of segment nb so that the area of the quadrilateral mnbc is 40 % of the total area of the rectangle . 
Options: a ) 1 meter , b ) 2 meter , c ) 3 meter , d ) 4 meter , e ) 5 meter
Output: a
Problem: a metallic sheet is of rectangular shape with dimensions 50 m x 30 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 5 m , the volume of the box ( in m cube ) is : 
Options: a ) 4120 m cube , b ) 4140 m cube , c ) 5140 m cube , d ) 5120 m cube , e ) none of these
Output: e
Problem: if y is the smallest positive integer such that 7,700 multiplied by y is the square of an integer , then y must be 
Options: a ) 29 , b ) 58 , c ) 63 , d ) 74 , e ) 77
Output: e
Problem: find the perimeter and area of a square of side 9 cm . 
Options: a ) 36 , b ) 49 , c ) 64 , d ) 81 , e ) 100
Output: d
Problem: an oil cylinder was 3 / 4 th full . when 4 bottles of oil is poured into it , it is 4 / 5 th full . how many bottles of oil can the full cylinder hold ? 
Options: a ) 90 , b ) 75 , c ) 70 , d ) 80 , e ) 85
Output: d
Problem: the area of a square is 4489 sq cm . find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square . 
Options: a ) 5 : 28 , b ) 5 : 19 , c ) 5 : 12 , d ) 5 : 13 , e ) 43 : 134
Output: e
Problem: find the perimeter and area of the rectangle of length 11 cm and breadth 9 cm . 
Options: a ) 71 cm 2 , b ) 99 cm 2 , c ) 141 cm 2 , d ) 171 cm 2 , e ) 221 cm 2
Output: b
Problem: if anangletis defined as 1 percent of 1 degree , then how many anglets are there in a fifth circle ? 
Options: a ) 0.36 , b ) 7200 , c ) 360 , d ) 3,600 , e ) 36,000
Output: b
Problem: the radius of a cylindrical vessel is 7 cm and height is 4 cm . find the whole surface of the cylinder ? 
Options: a ) 484 , b ) 771 , c ) 440 , d ) 767 , e ) 1981
Output: a
Problem: what positive number , when squared , is equal to the cube of the positive square root of 17 ? 
Options: ['a ) 64', 'b ) 32', 'c ) 8', 'd ) 4', 'e ) 2']
Output: c
Problem: find the circumference and area of radius 6 cm . 
Options: ['a ) 113 cm ²', 'b ) 144 cm ²', 'c ) 154 cm ²', 'd ) 184 cm ²', 'e ) 194 cm ²']
Output: a
Problem: if anangletis defined as 1 percent of 1 degree , then how many anglets are there in a third circle ? 
Options: a ) 0.36 , b ) 3.6 , c ) 12,000 , d ) 3,600 , e ) 36,000
Output: c
Problem: the breath of a rectangular landscape is 8 times its length . there is a playground in it whose area is 3200 square mtr & which is 1 / 9 rd of the total landscape . what is the breath of the landscape ? 
Options: ['a ) 420', 'b ) 430', 'c ) 280', 'd ) 360', 'e ) 480']
Output: e
Problem: a rectangular courtyard 3.78 m lang and 5.25 m broad is to be paved exactly with square tiles , all of the same size . the minimum number of such tiles is : 
Options: ['a ) 425', 'b ) 430', 'c ) 440', 'd ) 450', 'e ) 460']
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 50 cents . how many cents does a solution of 1 liter of spirit and 2 liters of water cost ? 
Options: a ) 13 , b ) 33 , c ) 50 , d ) 51 , e ) 52
Output: c
Problem: carmen made a sculpture from small pieces of wood . the sculpture is 2 feet 10 inches tall . carmen places her sculpture on a base that is 6 inches tall . how tall are the sculpture andbase together ? 
Options: a ) 3.1 feet , b ) 3.2 feet , c ) 3.3 feet , d ) 3.4 feet , e ) 3.5 feet
Output: c
Problem: how many 4 x 5 x 8 cubes could fit in a 10 x 16 x 84 box ? 
Options: a ) 84 , b ) 90 , c ) 85 , d ) 77 , e ) 64
Output: a
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 ) 150 , b ) 155 , c ) 158 , d ) 157 , e ) 190
Output: d
Problem: find the area of a parallelogram with base 12 cm and height 18 cm . 
Options: a ) 200 , b ) 216 , c ) 345 , d ) 244 , e ) 242
Output: b
Problem: the length of a rectangular landscape is 12 times its breadth . there is a playground in it whose area is 1200 square mtr & which is 1 / 4 rd of the total landscape . what is the length of the landscape ? 
Options: a ) 90 , b ) 120 , c ) 240 , d ) 180 , e ) 110
Output: c
Problem: in an electric circuit , two resistors with resistances m and n are connected in parallel . in this case , if p is the combined resistance of these two resistors , then the reciprocal of p is equal to the sum of the reciprocals of m and n . what is p in terms of m and n ? 
Options: ['a ) ( n - m )', 'b ) mn / ( m + n )', 'c ) ( nm )', 'd ) ( n - m ) / ( m + n )', 'e ) none of these']
Output: b
Problem: the perimeter of a triangle is 40 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle 
Options: a ) a ) 72 , b ) b ) 828 , c ) c ) 50 , d ) d ) 34 , e ) e ) 35
Output: c
Problem: square abcd is the base of the cube while square efgh is the cube ' s top face such that point e is above point a , point f is above point b etc . what is the distance between the midpoint of edge ab and the midpoint of edge eh if the area of square abcd is 2 ? 
Options: ['a ) 1 / sqrt 2', 'b ) 1', 'c ) sqrt 2', 'd ) sqrt 3', 'e ) 2 sqrt 3']
Output: d
Problem: what is the smallest positive integer that can be multiplied by 432 to make it a perfect square ? 
Options: a ) 2 , b ) 3 , c ) 5 , d ) 7 , e ) 11
Output: b
Problem: what is the measure of the radius of the circle that circumscribes a triangle whose sides measure 11 , 60 and 61 ? 
Options: a ) 6.5 , b ) 12.5 , c ) 28 , d ) 30.5 , e ) 40
Output: d
Problem: what is the area of an equilateral triangle whose one side length is 80 ? 
Options: a ) 800 √ 3 , b ) 1000 √ 3 , c ) 1200 √ 3 , d ) 1400 √ 3 , e ) 1600 √ 3
Output: e
Problem: in measuring the sides of a rectangle , one side is taken 5 % in excess , and the other 4 % in deficit . find the error percent in the area calculated from these measurements . 
Options: a ) 0.2 % , b ) 0.4 % , c ) 0.6 % , d ) 0.8 % , e ) 1 %
Output: d
Problem: what will be the cost of building a fence around a square plot with area equal to 64 sq ft , if the price per foot of building the fence is rs . 58 ? 
Options: a ) 3944 , b ) 2882 , c ) 2999 , d ) 1856 , e ) 2121
Output: d
Problem: an isosceles triangle those sides are 13 cm , 13 cm , 10 cm long inscribed in a circle . find the radius of the circle 
Options: ['a ) 8 cm', 'b ) 9 cm', 'c ) 10 cm', 'd ) 11 cm', 'e ) 7 cm']
Output: a
Problem: square m is inscribed in circle n . if the perimeter of m is 20 , what is the circumference of n ? 
Options: ['a ) 33 √ 2 π', 'b ) 2 √ 2 π', 'c ) 6 √ 2 π', 'd ) 7 √ 2 π', 'e ) 5 √ 2 π']
Output: e
Problem: the area of an equilateral triangle is subtracted from its base , and the perimeter is then added to this total , the result is 4 . what is the height of the equilateral triangle if its base is 2 ? 
Options: ['a ) 2', 'b ) 3', 'c ) 4', 'd ) 5', 'e ) 6']
Output: c
Problem: three interviewers , x , y , and z are interviewing 40 applicants . only with three interviewers ' admission can an applicant be admitted . if interviewer x admitted 15 applicants , y admitted 17 applicants , and z admitted 20 applicants , at least how many applicants get the admission ? 
Options: ['a ) 0', 'b ) 2', 'c ) 6', 'd ) 8', 'e ) 12']
Output: a
Problem: one side of a rectangular field is 15 m and one of its diagonal is 17 m . find the area of the field . 
Options: ['a ) 100', 'b ) 120', 'c ) 150', 'd ) 180', 'e ) none']
Output: b
Problem: the diagonal of a cube is 8 √ 3 . find its volume and surface area . 
Options: ['a ) 354', 'b ) 384', 'c ) 324', 'd ) 344', 'e ) 364']
Output: b
Problem: find the area of a parallelogram with base 20 cm and height 40 cm ? 
Options: a ) 100 cm 2 , b ) 250 cm 2 , c ) 800 cm 2 , d ) 296 cm 2 , e ) 456 cm 2
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 measure y in inches of the width of the foil covered prism ? 
Options: a ) 4 , b ) 6 , c ) 8 , d ) 9 , e ) 10
Output: e
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 ) 52 π', 'e ) 4 π']
Output: e
Problem: a cube has two of its faces painted half red and half white . the other faces are completely painted white . what is the ratio between the red painted areas and the white painted areas of the cube ? 
Options: a ) 1 : 5 , b ) 3 : 6 , c ) 1 : 2 , d ) 2 : 9 , e ) 1 : 3
Output: a
Problem: in a rectangular axis system , what is the area of a parallelogram with the coordinates : ( 5,3 ) , ( 8,3 ) , ( 4,5 ) , ( 7,5 ) ? 
Options: a ) 21 . , b ) 28 . , c ) 35 . , d ) 49 . , e ) 6 .
Output: e
Problem: two sides of a triangle have lengths x and t and meet at a right angle . if the perimeter of the triangle is 4 x , what is the ratio of x to t ? 
Options: ['a ) a ) 2 : 3', 'b ) b ) 3 : 4', 'c ) c ) 4 : 3', 'd ) d ) 3 : 2', 'e ) e ) 2 : 1']
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 one - half of the males and one - fourth of the females in the class ? 
Options: a ) 120 , b ) 126 , c ) 132 , d ) 138 , e ) 144
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 900 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ? 
Options: a ) 140 sq . units , b ) 120 sq . units , c ) 187 sq . units , d ) 607 sq . units , e ) 815 sq . units
Output: b
Problem: if the radius of a circle is increased by 40 % then the area is increased by : 
Options: a ) 44 % , b ) 120 % , c ) 96 % , d ) 40 % , e ) none of the above
Output: c
Problem: six dots are evenly spaced on the circumference of a circle . how many combinations of three dots can we make from these 6 dots that do not form an equilateral triangle ? 
Options: ['a ) 18', 'b ) 17', 'c ) 16', 'd ) 15', 'e ) 14']
Output: a
Problem: the length of a rectangle is doubled while its width is doubled . what is the % change in area ? 
Options: a ) 250 % , b ) 300 % , c ) 500 % , d ) 650 % , e ) 700 %
Output: b
Problem: if the perimeter and diagonal of a rectangle are 14 and 5 cms respectively , find its area . 
Options: ['a ) 12 cm 2', 'b ) 16 cm 2', 'c ) 20 cm 2', 'd ) 24 cm', 'e ) none of these']
Output: a
Problem: if k and w are the dimensions of a rectangle that has area 21 , and if k and w are integers such that k > w , what is the total number of possible values of k ? 
Options: a ) two , b ) three , c ) four , d ) five , e ) six
Output: a
Problem: the diagonals of a rhombus are 14 cm and 20 cm . find its area ? 
Options: a ) 176 , b ) 190 , c ) 140 , d ) 278 , e ) 292
Output: c
Problem: the area of a triangle will be when a = 1 m , b = 2 m , c = 5 m , a , b , c being lengths of respective sides ? 
Options: a ) 3 , b ) 6 , c ) 4 , d ) 9 , e ) 1
Output: c
Problem: the area of sector of a circle whose radius is 12 metro and whose angle at the center is 36 â ° is ? 
Options: a ) 52.6 , b ) 45.3 , c ) 52.8 , d ) 52.1 , e ) 52.2
Output: b
Problem: the area of a square is 625 sq cm . find the ratio of the breadth and the length of a rectangle whose length is thrice the side of the square and breadth is 20 cm less than the side of the square . 
Options: a ) 5 : 12 , b ) 5 : 13 , c ) 2 : 9 , d ) 1 : 15 , e ) 1 : 5
Output: d
Problem: if the sides of a triangle are 65 cm , 60 cm and 25 cm , what is its area ? 
Options: a ) 120 cm 2 , b ) 750 cm 2 , c ) 216 cm 2 , d ) 197 cm 2 , e ) 275 cm 2
Output: b
Problem: a square mirror has exactly half the area of the rectangular wall on which it is hung . if each side of the mirror is 34 inches and the width of the wall is 54 inches , what is the length of the wall , in inches ? 
Options: a ) 22.8 , b ) 33.8 , c ) 42.8 , d ) 63.8 , e ) 56.8
Output: c
Problem: the length of a rectangular garden is three times its width . if the area of the rectangular garden is 507 square meters , then what is the width of the rectangular garden ? 
Options: ['a ) 10', 'b ) 11', 'c ) 12', 'd ) 13', 'e ) 14']
Output: d
Problem: a rectangular swimming pool is 20 feet by 18 feet . a deck that has uniform width surrounds the pool . the total area of the pool and deck is 624 square feet . what is the width of the deck ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Output: b
Problem: a certain farmer pays $ 60 per acre per month to rent farmland . how much does the farmer pay per month to rent a rectangular plot of farmland that is 360 feet by 1210 feet ? ( 43,560 square feet = 1 acre ) 
Options: a ) $ 5,330 , b ) $ 3,360 , c ) $ 1,350 , d ) $ 600 , e ) $ 150
Output: d
Problem: if the sides of a triangle are 26 cm , 22 cm and 10 cm , what is its area ? 
Options: a ) 120 , b ) 110 , c ) 130 , d ) 140 , e ) 150
Output: b
Problem: if a 7 cm cube is cut into 1 cm cubes , then what is the percentage increase in the surface area of the resulting cubes ? 
Options: ['a ) 140 %', 'b ) 350 %', 'c ) 450 %', 'd ) 600 %', 'e ) 700 %']
Output: d
Problem: a rectangular garden is to be twice as long as it is wide . if 240 yards of fencing , including the gate , will completely enclose the garden , what will be the length of the garden , in yards ? 
Options: a ) 40 , b ) 50 , c ) 60 , d ) 80 , e ) 100
Output: d
Problem: the volumes of two cones are in the ratio 1 : 20 and the radii of the cones are in the ratio of 1 : 2 . what is the length of the wire ? 
Options: a ) 4 : 5 , b ) 4 : 9 , c ) 4 : 2 , d ) 5 : 2 , e ) 2 : 8
Output: a
Problem: the circumferences of two circles are 660 meters and 704 meters . find the difference between the areas of the larger and the smaller circles ? 
Options: a ) 2996 sq m , b ) 4774 sq m , c ) 4312 sq m , d ) 2768 sq m , e ) 2786 sq m
Output: b
Problem: the volumes of two cubes are in the ratio 27 : 125 , what shall be the ratio of their surface areas ? 
Options: ['a ) 6 : 25', 'b ) 3 : 5', 'c ) 9 : 25', 'd ) 16 : 25', 'e ) 19 : 25']
Output: c
Problem: the side of a cube is 12 m , find the lateral surface area ? 
Options: ['a ) 816', 'b ) 516', 'c ) 716', 'd ) 216', 'e ) 916']
Output: b
Problem: the cost of painting the whole surface area of a cube at the rate of 13 paise per sq . cm is rs . 343.98 . then the volume of the cube is 
Options: ['a ) 8500 cm 3', 'b ) 9000 cm 3', 'c ) 9250 cm 3', 'd ) 9261 cm 3', 'e ) none']
Output: d
Problem: the perimeter of a triangle is 36 cm and the in radius of the triangle is 2.5 cm . what is the area of the triangle ? 
Options: a ) 76 , b ) 88 , c ) 66 , d ) 55 , e ) 45
Output: e
Problem: a perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer . how many positive integers n are there such that n is less than 1,000 and at the same time n is a perfect square and a perfect cube ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Output: b
Problem: the perimeter of one face a of cube is 20 cm . its volume must be 
Options: ['a ) 125 cm 3', 'b ) 400 cm 3', 'c ) 1000 cm 3', 'd ) 8000 cm 3', 'e ) none']
Output: a
Problem: if the radius of a circle decreased by 50 % its area is decreased by : 
Options: ['a ) 75', 'b ) 79', 'c ) 72', 'd ) 70', 'e ) 80']
Output: a
Problem: 15 business executives and 3 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ? 
Options: a ) 150 , b ) 131 , c ) 115 , d ) 90 , e ) 45
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 s , 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: the length of a rectangle is increased to 2 times its original size and its width is increased to 3 times its original size . if the area of the new rectangle is equal to 1800 square meters , what is the area of the original rectangle ? 
Options: ['a ) 300 square meters', 'b ) 400 square meters', 'c ) 500 square meters', 'd ) 600 square meters', 'e ) 700 square meters']
Output: a
Problem: the length of the side of a square is represented by x + 2 . the length of the side of an equilateral triangle is 2 x . if the square and the equilateral triangle have equal perimeter , then the value of x is ? 
Options: a ) 5 , b ) 7 , c ) 4 , d ) 8 , e ) 6
Output: c
Problem: if k and w are the dimensions of a rectangle that has area 60 , and if k and w are integers such that k > w , what is the total number of possible values of k ? 
Options: a ) two , b ) three , c ) four , d ) five , e ) six
Output: e
Problem: the length of each side of square a is increased by 100 percent to make square b . if the length of the side of square b is increased by 40 percent to make square c , by what percent is the area of square c greater than the sum of the areas of squares a and b ? 
Options: ['a ) 75.00 %', 'b ) 56.80 %', 'c ) 110 %', 'd ) 150 %', 'e ) 180 %']
Output: b
Problem: find the area of a parallelogram with base 15 cm and height 40 cm ? 
Options: a ) 200 cm 2 , b ) 100 cm 2 , c ) 42 cm 2 , d ) 600 cm 2 , e ) 230 cm 2
Output: d
Problem: the breadth of a rectangular field is 60 % of its length . if the perimeter of the field is 800 m , find out the area of the field . 
Options: a ) 37500 , b ) 38000 , c ) 38500 , d ) 39000 , e ) 39500
Output: a
Problem: the ratio of the radius of two circles is 4 : 3 , and then the ratio of their areas is ? 
Options: a ) 1 : 8 , b ) 1 : 6 , c ) 1 : 9 , d ) 16 : 9 , e ) 1 : 2
Output: d
Problem: the perimeter of an equilateral triangle is 60 . if one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 45 , then how long is the base of isosceles triangle ? 
Options: a ) 5 units , b ) 10 units , c ) 15 units , d ) 20 units , e ) 25 units
Output: a
Problem: a circular garden is surrounded by a fence of negligible width along the boundary . if the length of the fence is 1 / 3 of th area of the garden . what is the radius of the circular garden ? 
Options: a ) 6 , b ) 2 , c ) 4 , d ) 8 , e ) 16
Output: a
Problem: a rectangular grass field is 70 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ? 
Options: a ) s . 1350 , b ) s . 1300 , c ) s . 1328 , d ) s . 1397 , e ) s . 1927
Output: b
Problem: the cost of the paint is rs . 36.50 per kg . if 1 kg of paint covers 16 square feet , how much will it cost to paint outside of a cube having 8 feet each side . 
Options: a ) rs . 850 , b ) rs . 860 , c ) rs . 876 , d ) rs . 886 , e ) none of these
Output: c
Problem: if the radius of the sphere is 14 m . then its total surface area is 
Options: ['a ) 2644', 'b ) 2446', 'c ) 2464', 'd ) 6442', 'e ) 6424']
Output: c
Problem: the perimeter of one face of a cube is 48 cm . its volume will be : 
Options: a ) 125 cm 3 , b ) 400 cm 3 , c ) 250 cm 3 , d ) 625 cm 3 , e ) none of these
Output: e
Problem: a wooden cube whose edge length is 7 inches is composed of smaller cubes with edge lengths of one inch . the outside surface of the large cube is painted red and then it is split up into its smaller cubes . if one cube is randomly selected from the small cubes , what is the probability that the cube will have at least one red face ? 
Options: a ) 59.8 % , b ) 63.6 % , c ) 67.2 % , d ) 70.5 % , e ) 73.6 %
Output: b
Problem: in a company of 180 employees , 110 are females . a total of 90 employees have advanced degrees and the rest have a college degree only . if 35 employees are males with a college degree only , how many employees are females with advanced degrees ? 
Options: a ) 50 , b ) 55 , c ) 60 , d ) 65 , e ) 70
Output: b
Problem: if g is the smallest positive integer such that 3150 multiplied by g is the square of an integer , then g must be 
Options: a ) 2 , b ) 5 , c ) 6 , d ) 7 , e ) 14
Output: e
Problem: if the sides of a square are multiplied by 10 , the area of the original square is how many times as large as the area of the resultant square ? 
Options: ['a ) 1 %', 'b ) 10 %', 'c ) 100 %', 'd ) 500 %', 'e ) 1000 %']
Output: a
Problem: if the radius of a circle is increased by 20 % then the area is increased by : 
Options: a ) 44 % , b ) 120 % , c ) 144 % , d ) 40 % , e ) none of the above
Output: a
Problem: a rectangular lawn of length 200 m by 120 m has two roads running along its center , one along the length and the other along the width . if the width of the roads is 5 m what is the area y covered by the two roads ? 
Options: a ) 400 , b ) 1550 , c ) 1575 , d ) 1600 , e ) 1625
Output: c
Problem: the volume of a cube is 343 cc . find its surface . 
Options: a ) 864 , b ) 556 , c ) 294 , d ) 287 , e ) 267
Output: c
Problem: the area of a circle of radius 5 is numerically what percent of its circumference ? 
Options: ['a ) 200', 'b ) 225', 'c ) 240', 'd ) 250', 'e ) none']
Output: d
Problem: find the circumference and area of radius 7 cm . 
Options: a ) 151 cm ² , b ) 152 cm ² , c ) 154 cm ² , d ) 155 cm ² , e ) 157 cm ²
Output: c
Problem: the area of a rectangle is 15 square centimeters and the perimeter is 16 square centimeters . what are the dimensions of the rectangle ? 
Options: ['a ) 3 and 5', 'b ) 3 and 6', 'c ) 3 and 7', 'd ) 3 and 8', 'e ) 3 and 9']
Output: a
Problem: what is the perimeter of a rectangular field whose diagonal is 10 m and length is 3 m ? 
Options: ['a ) 12 m', 'b ) 5 m', 'c ) 10 m', 'd ) 8 m', 'e ) 6 m']
Output: d
Problem: an order was placed for a carpet whose length and width were in the ratio of 3 : 2 . subsequently , the dimensions of the carpet were altered such that its length and width were in the ratio 4 : 3 but were was no change in its perimeter . what is the ratio of the areas of the carpets ? 
Options: a ) 9 : 10 , b ) 19 : 20 , c ) 29 : 30 , d ) 39 : 40 , e ) 49 : 50
Output: e
Problem: what is the percentage increase in the area of a rectangle , if each of its sides is increased by 20 % ? 
Options: a ) 42 % , b ) 43 % , c ) 45 % , d ) 44 % , e ) 46 %
Output: d
Problem: a circular logo is enlarged to fit the lid of a jar . the new diameter is 50 per cent larger than the original . by what percentage has the area of the logo increased ? 
Options: a ) 50 , b ) 80 , c ) 100 , d ) 125 , e ) 250
Output: d
Problem: a rectangular farm has to be fenced one long side , one short side and the diagonal . if the cost of fencing is rs . 14 per meter . the area of farm is 1200 m 2 and the short side is 30 m long . how much would the job cost ? 
Options: a ) 1276 , b ) 1680 , c ) 2832 , d ) 1299 , e ) 1236
Output: b
Problem: a circular well with a diameter of 2 metres , is dug to a depth of 4 metres . what is the volume of the earth dug out ? 
Options: a ) 26 m ³ , b ) 28 m ³ , c ) 44 m ³ , d ) 46 m ³ , e ) none
Output: c
Problem: rectangular tile each of size 25 cm by 65 cm must be laid horizontally on a rectangular floor of size 150 cm by 390 cm , such that the tiles do not overlap and they are placed with edges jutting against each other on all edges . a tile can be placed in any orientation so long as its edges are parallel to the edges of floor . no tile should overshoot any edge of the floor . the maximum number of tiles that can be accommodated on the floor is : 
Options: a ) 50 , b ) 40 , c ) 25 , d ) 36 , e ) 45
Output: d
Problem: a rectangular garden is to be twice as long as it is wide . if 900 yards of fencing , including the gate , will completely enclose the garden , what will be the length of the garden , in yards ? 
Options: a ) 40 , b ) 50 , c ) 60 , d ) 200 , e ) 300
Output: e
Problem: a cylindrical can has a radius of 6 centimeters and a height of 12 centimeters . what is the area , in square centimeters , of a rectangular label that completely covers the curved surface of the can without over - lapping ? 
Options: a ) 16 pi , b ) 64 pi , c ) 96 pi , d ) 144 pi , e ) 576 pi
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 14 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 ) 12
Output: d
Problem: the ratio of the volumes of two cubes is 2744 : 1331 . what is the ratio of their total surface areas ? 
Options: a ) 196 : 121 , b ) 81 : 127 , c ) 181 : 196 , d ) 81 : 161 , e ) 81 : 182
Output: a
Problem: how many internal diagonals does a heptagon ( seven sided polygon ) have ? 
Options: a ) 7 , b ) 9 , c ) 14 , d ) 20 , e ) 35
Output: c
Problem: the volume of a cube is 1728 cc . find its surface . 
Options: a ) 864 , b ) 556 , c ) 255 , d ) 287 , e ) 267
Output: a
Problem: the length of a rectangle is one - sixth of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 1296 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ? 
Options: ['a ) 560 sq . units', 'b ) 360 sq . units', 'c ) 260 sq . units', 'd ) 460 sq . units', 'e ) 160 sq . units']
Output: b
Problem: the perimeter of one square is 48 cm and that of another is 28 cm . find the perimeter and the diagonal of a square which is equal in area to these two combined ? 
Options: a ) 13 √ 4 , b ) 13 √ 2 , c ) 23 √ 2 , d ) 13.9 √ 2 , e ) 13 √ 9
Output: d
Problem: a sixth grade teacher asked her students to draw rectangles with positive integer length and a perimeter of 42 . the difference between the largest and smallest possible ares of the rectangles that the students could have come up with is ? 
Options: ['a ) 50 sq units', 'b ) 60 sq units', 'c ) 70 sq units', 'd ) 80 sq units', 'e ) 90 sq units']
Output: e
Problem: george ' s car calls for 8 ounces of oil for each cylinder used . his car ' s engine has 6 cylinders . if 16 ounces of oil has already been put into the engine used , then how many additional ounces of oil are needed ? 
Options: ['a ) 16', 'b ) 48', 'c ) 64', 'd ) 32', 'e ) 8']
Output: d
Problem: the area of a parallelogram is 98 sq m and its altitude is twice the corresponding base . then the length of the base is ? 
Options: a ) 8 , b ) 9 , c ) 7 , d ) 6 , e ) 5
Output: c
Problem: the diameter of a cylindrical tin is 4 cm and height is 5 cm . find the volume of the cylinder ? 
Options: a ) 33 , b ) 45 , c ) 20 , d ) 77 , e ) 21
Output: c
Problem: three circles of radius 3.5 cm are placed in such a way that each circle touches the other two . the area of the portion enclosed by the circles is 
Options: ['a ) 1.967', 'b ) 1.963', 'c ) 2.388', 'd ) 3.388', 'e ) 2.382']
Output: a
Problem: if the radius of a circle is decreased 50 % , what happens to the area ? 
Options: a ) 10 % decrease , b ) 20 % decrease , c ) 75 % decrease , d ) 40 % decrease , e ) 50 % decrease
Output: c
Problem: the parameter of a square is equal to the perimeter of a rectangle of length 20 cm and breadth 14 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) 
Options: a ) 77.14 cm , b ) 47.14 cm , c ) 26.71 cm , d ) 94.94 cm , e ) 23.57 cm
Output: c
Problem: find the area of a parallelogram with base 34 cm and height 18 cm ? 
Options: a ) 198 cm 2 , b ) 384 cm 2 , c ) 510 cm 2 , d ) 612 cm 2 , e ) 680 cm 2
Output: d
Problem: a rectangular tank needs to be coated with insulation . the tank has dimensions of 3 feet , 7 feet , and 2 feet . each square foot of insulation costs $ 20 . how much will it cost to cover the surface of the tank with insulation ? 
Options: a ) $ 880 , b ) $ 1050 , c ) $ 1280 , d ) $ 1460 , e ) $ 1640
Output: e
Problem: the size of a flat - screen television is given as the length of the screen ’ s diagonal . how many square inches greater is the screen of a square 34 - inch flat - screen television than a square 27 - inch flat - screen television ? 
Options: a ) 106.75 , b ) 213.5 , c ) 427 , d ) 729 , e ) 1,156
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 3000 , what is the area of the side face of the box ? 
Options: a ) 300 , b ) 150 , c ) 180 , d ) 109 , e ) 200
Output: e
Problem: the volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2 . what is the length of the wire ? 
Options: ['a ) 2 : 5', 'b ) 2 : 9', 'c ) 2 : 2', 'd ) 2 : 9', 'e ) 2 : 1']
Output: a
Problem: find the area of a rhombus having each side equal to 13 cm and one of whose diagonal is 24 cm . 
Options: ['a ) 150 sq . cm', 'b ) 120 sq . cm', 'c ) 130 sq . cm', 'd ) 125 sq . cm', 'e ) 110 sq . cm']
Output: b
Problem: a hall is 15 meters long and 15 meters wide . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , what is the volume of the hall ( in cubic meters ) ? 
Options: a ) 975.5 , b ) 1250.5 , c ) 1465.5 , d ) 1687.5 , e ) 1824.5
Output: d
Problem: a cube has five of its faces painted half red and half white . the other face is completely painted white . what is the ratio between the red painted areas and the white painted areas of the cube ? 
Options: ['a ) 6 : 11', 'b ) 2 : 5', 'c ) 3 : 4', 'd ) 5 : 7', 'e ) 2 : 3']
Output: d
Problem: the area of sector of a circle whose radius is 18 metro and whose angle at the center is 42 â ° is ? 
Options: a ) 52.6 , b ) 52.9 , c ) 52.8 , d ) 118.8 , e ) 52.2
Output: d
Problem: there is a square with sides of 12 . what is the circumference of the biggest circle that can be cut out of this square ? 
Options: ['a ) 75.4', 'b ) 31.42', 'c ) 36', 'd ) 18.85', 'e ) 37.7']
Output: e
Problem: the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 8 cm each . the radius of the sphere is 
Options: ['a ) 3 cm', 'b ) 4 cm', 'c ) 6 cm', 'd ) 8 cm', 'e ) none']
Output: b
Problem: what is the volume of an tetrahedron with edge length of 1 ? 
Options: ['a ) 3.11545466', 'b ) 0.76678113', 'c ) 0.11785113', 'd ) 2.11785113', 'e ) 0.11786667']
Output: c
Problem: what is the area of square field whose side of length 15 m ? 
Options: ['a ) 225 sq m', 'b ) 186 sq m', 'c ) 586 sq m', 'd ) 287 sq m', 'e ) 296 sq m']
Output: a
Problem: the supplementary of an angle is thrice its complimentary . find the angle . 
Options: a ) 60 , b ) 45 , c ) 90 , d ) 180 , e ) 120
Output: b
Problem: a box measuring 72 inches long by 48 inches wide by 24 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ? 
Options: a ) 17 , b ) 18 , c ) 54 , d ) 108 , e ) 162
Output: e
Problem: two cubes each with side b are joined to form a cuboids . what is the surface area of this cuboids ? 
Options: ['a ) 12 b ^ 2', 'b ) 10 b ^ 2', 'c ) 6 b ^ 2', 'd ) 4 b ^ 2', 'e ) 2 b ^ 2']
Output: b