niryuu/sni-each-converted huggingface dataset:
Problem: a football field is 10800 square yards . if 1200 pounds of fertilizer are spread evenly across the entire field , how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards ? 
Options: a ) 400 , b ) 600 , c ) 750 , d ) 2400 , e ) 3200
Output: a
Problem: rectangular tile each of size 35 cm by 30 cm must be laid horizontally on a rectangular floor of size 1000 cm by 210 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 ) 600', 'b ) 400', 'c ) 200', 'd ) 500', 'e ) 100']
Output: c
Problem: the dimensions of a rectangular solid are 4 inches , 5 inches , and 12 inches . if a cube , a side of which is equal to one of the dimensions of the rectangular solid , is placed entirely within thespherejust large enough to hold the cube , what the ratio of the volume of the cube to the volume within thespherethat is not occupied by the cube ? 
Options: a ) 10 : 17 , b ) 2 : 5 , c ) 5 : 16 , d ) 25 : 7 , e ) 10 : 21
Output: e
Problem: what is the measure of the radius of the circle inscribed in a triangle whose sides measure 8 , 15 and 19 units ? 
Options: a ) 2.8 units , b ) 6 units , c ) 3 units , d ) 5 units , e ) 12 units
Output: a
Problem: a small , rectangular park has a perimeter of 560 feet and a diagonal measurement of 100 feet . what is its area , in square feet ? 
Options: a ) 4,800 , b ) 19,600 , c ) 20,000 , d ) 20,400 , e ) 20,800
Output: a
Problem: a gardener grows cabbages in her garden that is in the shape of a square . each cabbage takes 1 square feet of area in her garden . this year , she has increased her output by 181 cabbages as compared to last year . the shape of the area used for growing the cabbages has remained a square in both these years . how many cabbages did she produce this year ? 
Options: ['a ) 6564', 'b ) 7372', 'c ) 8281', 'd ) 9331', 'e ) can not be determined']
Output: c
Problem: if the sides of a triangle are 26 cm , 24 cm and 20 cm , what is its area ? 
Options: a ) 120 , b ) 772 , c ) 288 , d ) 266 , e ) 240
Output: e
Problem: a rectangular box 60 m long and 40 m wide has two concrete crossroads running in the middle of the box and rest of the box has been used as a lawn . the area of the lawn is 2109 sq . m . what is the width of the road ? 
Options: ['a ) 3 m', 'b ) 4 m', 'c ) 5 m', 'd ) 6 m', 'e ) 2 m']
Output: a
Problem: of the two square fields , the area of the one is 1 hectare , while anothe one is broader by 1 % . there differences in area is : 
Options: ['a ) 201 m ( power ) 2', 'b ) 220 m ( power ) 2', 'c ) 211 m ( power ) 2', 'd ) 219 m ( power ) 2', 'e ) 205 m ( power ) 2']
Output: a
Problem: a water tank , having the shape of a rectangular prism of base 100 square centimeters , is being filled at the rate of 1 liter per minute . find the rate at which the height of the water in the water tank increases . express your answer in centimeters per minute . 
Options: ['a ) 30 cm', 'b ) 10 cm', 'c ) 50 cm', 'd ) 90 cm', 'e ) 70 cm']
Output: b
Problem: a 6 - meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 1 if the original wire was cut at an arbitrary point ? 
Options: ['a ) 2 / 3', 'b ) 3 / 4', 'c ) 4 / 5', 'd ) 5 / 6', 'e ) 6 / 7']
Output: a
Problem: the dimensions of a room are 25 feet * 15 feet * 12 feet . what is the cost of white washing the four walls of the room at rs . 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ? 
Options: a ) 2277 , b ) 2977 , c ) 2677 , d ) 4530 , e ) 1971
Output: d
Problem: a cube is painted red on all faces . it is then cut into 27 equal smaller cubes . how many cubes are painted on only 2 faces ? 
Options: ['a ) 12', 'b ) 8', 'c ) 6', 'd ) 10', 'e ) 16']
Output: a
Problem: a rectangular field is to be fenced on three sides leaving a side of 40 feet uncovered . if the area of the field is 680 sq . ft , how many feet of fencing will be required ? 
Options: a ) 44 ft , b ) 88 ft , c ) 74 ft , d ) 11 ft , e ) 66 ft
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 5184 , what is the area of the side face of the box ? 
Options: a ) 123 , b ) 167 , c ) 178 , d ) 199 , e ) 288
Output: e
Problem: find the ratio of the curved surfaces of two cylinders of same heights if their radii are in the ratio 1 : 2 ? 
Options: ['a ) 1 : 2', 'b ) 2 : 3', 'c ) 2 : 9', 'd ) 2 : 1', 'e ) 2 : 2']
Output: a
Problem: find the area of right angled triangle whose hypotenuse is 15 cm and one of the sides is 12 cm . 
Options: ['a ) 34 cm ²', 'b ) 38 cm ²', 'c ) 54 cm ²', 'd ) 56 cm ²', 'e ) 64 cm ²']
Output: c
Problem: how much space , in cubic units , is left vacant when maximum number of 2 x 2 x 2 cubes are fitted in a rectangular box measuring 8 x 10 x 9 ? 
Options: a ) 60 , b ) 65 , c ) 70 , d ) 75 , e ) 80
Output: e
Problem: if the sum of a number and its square is 132 , what is the number ? 
Options: a ) 15 , b ) 11 , c ) 28 , d ) 91 , e ) none of these
Output: b
Problem: the ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 5292 sq cm . what is the ratio of the width and the area of the rectangle ? 
Options: a ) 1 : 72 , b ) 1 : 76 , c ) 1 : 80 , d ) 1 : 84 , e ) 1 : 88
Output: d
Problem: suppose you have three identical prisms with congruent equilateral triangles as the end - polygons . suppose you attach them by the rectangular faces so they are perfectly aligned . there will be some large faces created by two or more co - planar faces of the individual prisms : count each such large face as one . given that , how many faces does the resultant solid have 
Options: ['a ) 4', 'b ) 6', 'c ) 9', 'd ) 10', 'e ) 5']
Output: e
Problem: the width of a rectangle is 10 meter and its area is 150 square meter . if length of the rectangle is increased then its new area is 4 / 3 times of the original area . what is the new perimeter of the rectangle ? 
Options: ['a ) 48 m', 'b ) 52 m', 'c ) 54 m', 'd ) 60 m', 'e ) none of these']
Output: d
Problem: compute the perimeter of a square with area 36 . 
Options: ['a ) 24', 'b ) 27', 'c ) 25', 'd ) 26', 'e ) 29']
Output: a
Problem: find the area of a triangle whose sides are 41 cm , 28 cm , 15 cm . also , find the length of the altitude corresponding to the largest side of the triangle . 
Options: ['a ) 4.1 cm', 'b ) 5.1 cm', 'c ) 6.1 cm', 'd ) 7.1 cm', 'e ) 8.1 cm']
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 e in inches of the width of the foil covered prism ? 
Options: ['a ) 4', 'b ) 6', 'c ) 8', 'd ) 9', 'e ) 10']
Output: e
Problem: the side of a rhombus is 22 m and length of one of its diagonals is 16 m . the area of the rhombus is ? 
Options: a ) 327.9 , b ) 325.9 , c ) 347.7 , d ) 357.9 , e ) 327.9
Output: a
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 20,000 and at the same time n is a perfect square and a perfect cube ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Output: c
Problem: a rectangular grass field is 75 m * 55 m , it has a path of 3.2 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 . 1327 , c ) s . 1328 , d ) s . 1364 , e ) s . 1927
Output: d
Problem: you buy a piece of land with an area of â ˆ š 625 , how long is one side of the land plot ? 
Options: a ) 28 , b ) 29 , c ) 30 , d ) 31 , e ) 25
Output: e
Problem: a rectangular grass field is 75 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 7 per sq m ? 
Options: a ) 4350 , b ) 4725 , c ) 4328 , d ) 4329 , e ) 4829
Output: b
Problem: one side of a rectangular field is 15 m and one of its diagonal is 17 m . find the area of field ? 
Options: a ) 110 , b ) 120 , c ) 130 , d ) 140 , e ) 150
Output: b
Problem: if the volume of a cube is x ^ 3 cubic units , what is the number of square units in the surface area of the cube ? 
Options: ['a ) x ^ 2', 'b ) x ^ 3', 'c ) x ^ 6', 'd ) 6 x ^ 2', 'e ) 6 x ^ 3']
Output: d
Problem: an iron cube of side 10 cm is hammered into a rectangular sheet of thickness 0.5 cm . if the sides of the sheet are in the ratio 1 : 5 , the sides are : 
Options: ['a ) 10 cm 20 cm', 'b ) 2 cm 10 cm', 'c ) 100 cm 20 cm', 'd ) 30 cm 100 cm', 'e ) none']
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 . 26 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 ) 99
Output: e
Problem: what is the area of a circle with the circumference of 88 cms ? 
Options: a ) 618 sq cms , b ) 516 sq cms , c ) 600 sq cms , d ) 615 sq cms , e ) none of these
Output: e
Problem: what is the smallest positive perfect square that is divisible by 12 , 15 , and 18 ? 
Options: a ) 900 , b ) 1,600 , c ) 2,500 , d ) 3,600 , e ) 4,900
Output: a
Problem: what is the smallest positive integer x , such that 1,152 x is a perfect cube ? 
Options: a ) 4 , b ) 6 , c ) 8 , d ) 12 , e ) 18
Output: d
Problem: the area of a rectangular plot is 460 square metres . if the length is 15 % more than the breadth , what is the breadth of the plot ? 
Options: a ) 14 m , b ) 20 m , c ) 18 m , d ) 12 m , e ) 15 m
Output: b
Problem: 34 . the side surface of a cylinder can is rolled with a rectangular plate . if the height of a cylinder tank is 8 feet and the perimeter of the circular base is 6 feet , what is the diagonal of the rectangular plate ? 
Options: ['a ) 10', 'b ) 12', 'c ) 8', 'd ) 14', 'e ) 9']
Output: a
Problem: in measuring the sides of a rectangle , one side is taken 6 % in excess , and the other 5 % in deficit . find the error percent in the area calculated from these measurements . 
Options: a ) 0.11 % , b ) 0.7 % , c ) 0.4 % , d ) 0.6 % , e ) 0.8 %
Output: b
Problem: find the volume & curved surface area of a cylinder with diameter of base 14 cm and height 60 cm . 
Options: ['a ) 260 cm 2', 'b ) 2610 cm 2', 'c ) 2600 cm 2', 'd ) 2640 cm 2', 'e ) 264 cm 2']
Output: d
Problem: the sides of a rectangle are in the ratio 4 : 3 and its area is 972 sq . m find the perimeter of rectangle 
Options: ['a ) 120 m', 'b ) 122 m', 'c ) 124 m', 'd ) 126 m', 'e ) 128 m']
Output: d
Problem: in a rectangular coordinate system , what is the area of a quadrilateral whose vertices have the coordinates ( 3 , - 1 ) , ( 3 , 8 ) , ( 12 , 2 ) , ( 12 , - 7 ) ? 
Options: a ) 69 , b ) 75 , c ) 81 , d ) 87 , e ) 93
Output: c
Problem: a steel vessel has a base of length 60 cm and breadth 30 cm . water is poured in the vessel . a cubical steel box having edge of 30 cm is immersed completely in the vessel . how much will the water rise ? 
Options: ['a ) 7.5 cm rise', 'b ) 10 cm rise', 'c ) 15 cm rise', 'd ) 30 cm rise', 'e ) none of these']
Output: c
Problem: the mass of 1 cubic meter of a substance is 200 kilograms under certain conditions . what is the volume , in cubic centimeters , of 1 gram of this substance under these conditions ? ( 1 kilogram = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters ) 
Options: a ) 0.8 , b ) 1.25 , c ) 8.0 , d ) 12.5 , e ) 5.0
Output: e
Problem: the perimeter of one face of a cube is 20 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: a
Problem: a rectangular tank needs to be coated with insulation . the tank has dimensions of 3 feet , 5 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 ) $ 1100 , b ) $ 1240 , c ) $ 1360 , d ) $ 1480 , e ) $ 1550
Output: b
Problem: the dimensions of a room are 25 feet * 15 feet * 12 feet . what is the cost of white washing the four walls of the room at rs . 3 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ? 
Options: a ) s . 4528 , b ) s . 4520 , c ) s . 4527 , d ) s . 4530 , e ) s . 2718
Output: e
Problem: in measuring the sides of a rectangle , one side is taken 6 % in excess and other 5 % in deficit . find the error percentage in the area calculated from these measurements . 
Options: a ) 3.5 % , b ) 2.4 % , c ) 3 % , d ) 5 % , e ) 0.7 %
Output: e
Problem: a and b are two circles . the radius of a is four times as large as the diameter of b . what is the ratio between the areas of the circles ? 
Options: ['a ) 1 : 8 .', 'b ) 1 : 2 .', 'c ) 1 : 24 .', 'd ) 1 : 64 .', 'e ) 1 : 6 .']
Output: d
Problem: the monthly rent of a shop of dimension 10 feet × 8 feet is rs . 2400 . what is the annual rent per square foot of the shop ? 
Options: a ) 43 , b ) 56 , c ) 68 , d ) 360 , e ) 92
Output: d
Problem: what is the perimeter , in meters , of a rectangular garden 24 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide ? 
Options: a ) 48 , b ) 56 , c ) 64 , d ) 76 , e ) 192
Output: c
Problem: a block of wood has dimensions 10 cm x 10 cm x 80 cm . the block is painted red and then cut evenly at the 40 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 ) 5.6 %', 'b ) 8.4 %', 'c ) 11.2 %', 'd ) 14.8 %', 'e ) 17.5 %']
Output: a
Problem: the volume of a certain substance is always directly proportional to its weight . if 48 cubic inches of the substance weigh 112 ounces , what is the volume , in cubic inches , of 53 ounces of this substance ? 
Options: a ) 27 , b ) 36 , c ) 42 , d ) 22 , e ) 147
Output: d
Problem: how many odd numbers between 10 and 1,000 are the squares of integers ? 
Options: ['a ) 12', 'b ) 13', 'c ) 14', 'd ) 15', 'e ) 16']
Output: c
Problem: if y is the smallest positive integer such that 1260 multiplied by y is the square of an integer , then y must be 
Options: a ) 25 , b ) 35 , c ) 60 , d ) 75 , e ) 140
Output: b
Problem: the measurement of a rectangular box with lid is 25 cmx 12 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 ) 72 , d ) 864 , e ) 964
Output: a
Problem: what is the area of a square field whose diagonal of length 40 m ? 
Options: a ) 287 , b ) 269 , c ) 750 , d ) 200 , e ) 800
Output: e
Problem: how much space , in cubic units , is left vacant when maximum number of 5 x 5 x 5 cubes are fitted in a rectangular box measuring 10 x 15 x 18 ? 
Options: a ) 50 , b ) 150 , c ) 250 , d ) 350 , e ) 450
Output: e
Problem: a wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule , whose length and breadth are in the ratio of 6 : 5 . what is the area of the rectangle ? 
Options: ['a ) 65 cm 2', 'b ) 30 cm 2', 'c ) 76 cm 2', 'd ) 68 cm 2', 'e ) 46 cm 2']
Output: b
Problem: the length of the diagonal of a square is 12 cm . find its area and perimeter . 
Options: ['a ) 31.84 cm', 'b ) 33.84 cm', 'c ) 35.84 cm', 'd ) 38.84 cm', 'e ) 38.92 cm']
Output: b
Problem: in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 3.5 ) , ( 8 , 0 ) , ( 0 , - 3.5 ) , ( - 8 , 0 ) ? 
Options: a ) 56 , b ) 88 , c ) 112 , d ) 116 , e ) 120
Output: a
Problem: the content of several smaller cylinders ( 3 meter diameter and 6 meter height ) were to be emptied into a larger cylinder ( 20 meter diameter and 10 meter height ) , how many smaller cylinders will fill up the larger cylinder ? 
Options: ['a ) 20', 'b ) 10', 'c ) 50', 'd ) 74', 'e ) 73']
Output: d
Problem: the size of a television screen is given as the length of the screen ' s diagonal . if the screens were flat , then the area of a square 21 - inch screen would be how many square inches greater than the area of a square 17 - inch screen ? 
Options: a ) 2 , b ) 4 , c ) 16 , d ) 38 , e ) 76
Output: e
Problem: if the radius of a circle is decreased 60 % , what happens to the area ? 
Options: a ) 10 % decrease , b ) 20 % decrease , c ) 36 % decrease , d ) 84 % decrease , e ) 50 % decrease
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 480 square feet . how many feet offence does frank use ? 
Options: ['a ) 14', 'b ) 47', 'c ) 54', 'd ) 180', 'e ) 64']
Output: e
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 648 , what is the area of the side face of the box ? 
Options: ['a ) 32', 'b ) 78', 'c ) 84', 'd ) 90', 'e ) 72']
Output: e
Problem: the height of a cylinder is 60 cm and the diameter of its base is 5 cm . the total surface area of the cylinder is 
Options: ['a ) 918.14', 'b ) 981.41', 'c ) 982.14', 'd ) 928.41', 'e ) none of them']
Output: c
Problem: the width of a rectangular hall is ½ of its length . if the area of the hall is 450 sq . m , what is the difference between its length and breadth ? 
Options: a ) 8 m , b ) 10 m , c ) 12 m , d ) 15 m , e ) 17 m
Output: d
Problem: if the sides of a square are multiplied by sqrt ( 2 ) , the area of the original square is how many times as large as the area of the resultant square ? 
Options: a ) 2 % , b ) 4 % , c ) 50 % , d ) 100 % , e ) 200 %
Output: c
Problem: the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 150 sq . cm , what is the width of the rectangle ? 
Options: a ) 10 cm , b ) 12 cm , c ) 14 cm , d ) 16 cm , e ) 18 cm
Output: a
Problem: what is the smallest positive integer x such that 450 x is the cube of a positive integer ? 
Options: a ) 2 , b ) 15 , c ) 30 , d ) 60 , e ) 120
Output: c
Problem: calculate the effect changes in dimension of a rectangle will have on its area , if length is increased by 35 % and its breadth is decreased by 21 % ? 
Options: a ) 4.65 % increase , b ) 5.65 % increase , c ) 6.65 % increase , d ) 6.65 % decrease , e ) 7.65 % increase
Output: c
Problem: what will be the area of a semi - circle of 14 metres diameter ? 
Options: ['a ) 154 sq metres', 'b ) 77 sq metres', 'c ) 308 sq metres', 'd ) 22 sq metres', 'e ) none of these']
Output: b
Problem: the ratio , by volume , of soap to alcohol to water in a certain solution is 6 : 30 : 90 . the solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved . if the altered solution will contain 150 cubic centimeters of alcohol , how many cubic centimeters of water will it contain ? 
Options: a ) 1200 , b ) 1300 , c ) 1500 , d ) 1800 , e ) 1900
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 50 sq . feet , how many feet of fencing will be required ? 
Options: a ) 34 , b ) 40 , c ) 25 , d ) 88 , e ) 78
Output: c
Problem: there are two circles of different radii . the are of a square is 784 sq cm and its side is twice the radius of the larger circle . the radius of the larger circle is seven - third that of the smaller circle . find the circumference of the smaller circle ? 
Options: ['a ) 6', 'b ) 5', 'c ) 8', 'd ) 6', 'e ) 3']
Output: c
Problem: can c and can в are both right circular cylinders . the radius of can c is twice the radius of can b , while the height of can c is half the height of can b . if it costs $ 4.00 to fill half of can b with a certain brand of gasoline , how much would it cost to completely fill can c with the same brand of gasoline ? 
Options: a ) $ 1 , b ) $ 2 , c ) $ 4 , d ) $ 8 , e ) $ 16
Output: e
Problem: the length of a rectangle is reduced by 25 % . by what % would the width have to be increased to maintainthe original area ? 
Options: a ) 15 % , b ) 20 % , c ) 25 % , d ) 33 % , e ) 40 %
Output: d
Problem: the sides of a square region , measured to the nearest centimeter , are 5 centimeters long . the least possible value of the actual area of the square region is 
Options: a ) 25.25 sq cm , b ) 20.25 sq cm , c ) 30.25 sq cm , d ) 36.25 sq cm , e ) 40.25 sq cm
Output: b
Problem: carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 12 inches by 15 inches and jordan ' s rectangle is 6 inches long , how wide is jordan ' s rectangle , in inches ? 
Options: ['a ) 24', 'b ) 26', 'c ) 28', 'd ) 30', 'e ) 32']
Output: d
Problem: in may , the groundskeeper at spring lake golf club built a circular green with an area of 90 π square feet . in august , the groundskeeper doubled the distance from the center of the green to the edge of the green . what is the total area of the renovated green ? 
Options: a ) 360 π , b ) 400 π , c ) 450 π , d ) 500 π , e ) 600 π
Output: a
Problem: if the volume of two cubes are in the ratio 125 : 1 , the ratio of their edges is : 
Options: a ) 3 : 1 , b ) 5 : 1 , c ) 3 : 5 , d ) 3 : 7 , e ) none of these
Output: b
Problem: what is the total surface area in square meters of a rectangular solid whose length is 5 meters , width is 4 meters , and depth is 1 meters ? 
Options: a ) 48 m 2 , b ) 40 m 2 , c ) 50 m 2 , d ) 58 m 2 , e ) 62 m 2
Output: d
Problem: a park square in shape has a 3 metre wide road inside it running along its sides . the area occupied by the road is 1764 square metres . what is the perimeter along the outer edge of the road ? 
Options: ['a ) 576 metres', 'b ) 589 metres', 'c ) 600 metres', 'd ) 700 metres', 'e ) none']
Output: c
Problem: if the volume of the cube is 729 cm 3 , then the surface area of the cube will be 
Options: ['a ) 486 sq . cm', 'b ) 456 sq . cm', 'c ) 446 sq . cm', 'd ) 476 sq . cm', 'e ) none of these']
Output: a
Problem: the area of a right triangle pcm is 18 . length of smallest side cm is 3 units . find the length of the other two sides . 
Options: ['a ) 12 , 9', 'b ) 18 , 3', 'c ) 15.16 , 6', 'd ) 12 , 12.37', 'e ) 12 , 15.16']
Output: d
Problem: a rectangular block 10 cm by 20 cm by 30 cm is cut into an exact number of equal cubes . find the least possible number of cubes ? 
Options: a ) 6 , b ) 10 , c ) 15 , d ) 40 , e ) 22
Output: a
Problem: the least perfect square , which is divisible by each of 21 , 36 and 66 is 
Options: a ) 213414 , b ) 213424 , c ) 213434 , d ) 213444 , e ) none of these
Output: d
Problem: a specialized type of sand consists of 40 % mineral x by volume and 60 % mineral y by volume . if mineral x weighs 3.5 grams per cubic centimeter and mineral y weighs 3 grams per cubic centimeter , how many grams does a cubic meter of specialized sand combination weigh ? ( 1 meter = 100 centimeters ) 
Options: a ) 5 , 500,000 , b ) 3 , 200,000 , c ) 55,000 , d ) 28,000 , e ) 280
Output: b
Problem: if the volume and surface area of a sphere are numerically the same , then its radius is : ? 
Options: ['a ) 2', 'b ) 4', 'c ) 1', 'd ) 5', 'e ) 3']
Output: e
Problem: in the coordinate plane , a circle centered on point ( - 3 , - 4 ) passes through point ( - 1 , 1 ) . what is the area of the circle ? 
Options: ['a ) 9 π', 'b ) 18 π', 'c ) 29 π', 'd ) 37 π', 'e ) 41 π']
Output: c
Problem: the radius of a cone is 10 m , height 21 m . the volume of the cone is : 
Options: ['a ) 2200', 'b ) 1100', 'c ) 5500', 'd ) 3300', 'e ) 1050']
Output: a
Problem: the length of a rectangular landscape is 8 times its breadth . there is a playground in it whose area is 1200 square mtr & which is 1 / 6 rd of the total landscape . what is the length of the landscape ? 
Options: a ) 180 , b ) 270 , c ) 340 , d ) 140 , e ) 240
Output: e
Problem: a metallic sheet is of rectangular shape with dimensions 52 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m 3 ) is : 
Options: a ) 4830 , b ) 5120 , c ) 6420 , d ) 7500 , e ) 5760
Output: e
Problem: if the diameter of circle r is 50 % of the diameter of circle s , the area of circle r is what percent of the area of circle s ? 
Options: a ) 35 % , b ) 25 % , c ) 20 % , d ) 15 % , e ) 10 %
Output: b
Problem: the diameter of a cylindrical tin is 14 cm and height is 2 cm . find the volume of the cylinder ? 
Options: a ) 33 , b ) 45 , c ) 66 , d ) 77 , e ) 98
Output: e
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 . 5 per sq m ? 
Options: a ) 6500 , b ) 2779 , c ) 2779 , d ) 3900 , e ) 2781
Output: a
Problem: a certain rectangular window is four times as long as it is wide . if its perimeter is 50 feet , what are its dimensions in terms of length by width ? 
Options: a ) 12 by 2 , b ) 11 by 3 , c ) 20 by 5 , d ) 10 by 4 , e ) 9 by 3
Output: c
Problem: the number 90 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 ) 16 , c ) 15 , d ) 14 , e ) 13
Output: b
Problem: a cylinder and a cone have the same height and same radius of base . the ratio between the volumes of the cylinder and the cone is : 
Options: ['a ) 4 : 1', 'b ) 2 : 1', 'c ) 7 : 1', 'd ) 5 : 1', 'e ) 3 : 1']
Output: e
Problem: if the sides of a triangle are 30 cm , 28 cm and 12 cm , what is its area ? 
Options: a ) 120 cm 2 , b ) 112 cm 2 , c ) 776 cm 2 , d ) 666 cm 2 , e ) 168 cm 2
Output: e
Problem: a volume of 10996 l water is in a container of sphere . how many hemisphere of volume 4 l each will be required to transfer all the water into the small hemispheres ? 
Options: a ) 2812 , b ) 8231 , c ) 2734 , d ) 4222 , e ) 2749
Output: e
Problem: in how many r ways can 5 people from a group of 6 people be seated around a circular table 
Options: ['a ) 56', 'b ) 80', 'c ) 100', 'd ) 120', 'e ) 144']
Output: e
Problem: the roof of an apartment building is rectangular and its length is 4 times longer than its width . if the area of the roof is 784 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 ) 46 .
Output: c
Problem: the area of a square is 144 m ² . find its perimeter . 
Options: ['a ) 18 m', 'b ) 28 m', 'c ) 38 m', 'd ) 42 m', 'e ) 48 m']
Output: e
Problem: oy started cycling along the boundaries of a square field from corner point a . after half an hour he reached the corner point c , diagonally opposite to a . if his speed was 8 km / hr , the area of the filed in square km is ? 
Options: ['a ) 64', 'b ) 4', 'c ) 16', 'd ) 9', 'e ) 5']
Output: b
Problem: a box is in the shape of a semicircle with a radius of 12 . what is the approximate perimeter of the semicircle ? 
Options: ['a ) 54', 'b ) 62', 'c ) 25', 'd ) 34', 'e ) 60']
Output: b
Problem: a lady grows cauliflower in her garden that is in the shape of a square . each cauliflower takes 1 square foot of area in her garden . this year , she has increased her output by 401 cauliflower when compared to last year . the shape of the area used for growing the cauliflower has remained a square in both these years . how many cauliflowers did she produce this year ? 
Options: a ) 44001 , b ) 44000 , c ) 40400 , d ) 40401 , e ) can not be determined
Output: d
Problem: right triangle abc is to be drawn in the xy - plane so that the right angle is at a and ab is parallel to the y - axis . if the x - and y - coordinates of a , b , and c are to be integers that are consistent with the inequalities - 3 ≤ x ≤ 2 and 4 ≤ y ≤ 9 , then how many different triangles can be drawn that will meet these conditions ? 
Options: a ) 54 , b ) 432 , c ) 2,160 , d ) 2,916 , e ) 148,824
Output: b
Problem: the ratio , by volume , of soap to alcohol to water in a certain solution is 20 : 50 : 80 . the solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved . if the altered solution will contain 100 cubic centimeters of alcohol , how many cubic centimeters of water will it contain ? 
Options: a ) 520 , b ) 640 , c ) 700 , d ) 750 , e ) 800
Output: b
Problem: the length of a rectangular plot is 10 mtr more than its width . the cost of fencing the plot along its perimeter at the rate of rs . 6.5 mtr is rs . 1950 . the perimeter of the plot is ? 
Options: ['a ) 126', 'b ) 156', 'c ) 190', 'd ) 300', 'e ) 260']
Output: d
Problem: the mass of 1 cubic meter of a substance is 400 kg under certain conditions . what is the volume in cubic centimeters of 1 gram of this substance under these conditions ? ( 1 kg = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters ) 
Options: a ) 1.5 , b ) 2.5 , c ) 3.5 , d ) 4.5 , e ) 5.5
Output: b
Problem: you buy a piece of land with an area of â ˆ š 100 , how long is one side of the land plot ? 
Options: a ) 28 , b ) 29 , c ) 10 , d ) 31 , e ) 32
Output: c
Problem: a circle graph shows how the budget of a certain company was spent : 60 percent for salaries , 9 percent for research and development , 5 percent for utilities , 4 percent for equipment , 2 percent for supplies , and the remainder for transportation . if the area of each sector of the graph is proportional to the percent of the budget it represents , how many degrees of the circle are used to represent transportation ? 
Options: a ) 18 ° , b ) 36 ° , c ) 54 ° , d ) 72 ° , e ) 90 °
Output: d
Problem: on the coordinate plane , points p and u are defined by the coordinates ( - 1,0 ) and ( 3,3 ) , respectively , and are connected to form a chord of a circle which also lies on the plane . if the area of the circle is ( 25 / 4 ) π , what are the coordinates of the center of the circle ? 
Options: ['a ) ( 1.5 , 1 )', 'b ) ( 2 , - 5 )', 'c ) ( 0,0 )', 'd ) ( 1 , 1.5 )', 'e ) ( 2,2 )']
Output: d
Problem: what is the area of square field whose side of length 20 m ? 
Options: a ) 200 sq m , b ) 186 sq m , c ) 586 sq m , d ) 287 sq m , e ) 400 sq m
Output: e
Problem: the area of a rectangular plot is 23 times its breadth . if the difference between the length and the breadth is 10 metres , what is its breadth ? 
Options: a ) 13 metres , b ) 5 metres , c ) 7.5 metres , d ) data inadequate , e ) none of these
Output: a
Problem: the side of a rhombus is 24 m and length of one of its diagonals is 18 m . the area of the rhombus is ? 
Options: a ) 410.47 , b ) 403.47 , c ) 420.47 , d ) 400.47 , e ) 300.47
Output: d
Problem: the area of a triangle is with base 8 m and height 4 m ? 
Options: a ) 88 m 2 , b ) 10 m 2 , c ) 16 m 2 , d ) 77 m 2 , e ) 31 m 2
Output: c
Problem: the ratio of the radius of two circles is 2 : 7 , and then the ratio of their areas is ? 
Options: a ) 1 : 7 , b ) 2 : 9 , c ) 1 : 9 , d ) 4 : 49 , e ) 3 : 4
Output: d
Problem: john is building a rectangular fence around a garden . the length will be 5 feet shorter than its width . if the total area of the garden is 176 square feet , what is the length of the diagonal ( in feet ) ? 
Options: ['a ) between 18 and 19', 'b ) between 19 and 20', 'c ) between 20 and 21', 'd ) between 21 and 22', 'e ) between 22 and 23']
Output: b
Problem: in a rectangular axis system , what is the area of a parallelogram with the coordinates : ( 1,3 ) , ( 5,3 ) , ( 2,6 ) , ( 6,6 ) ? 
Options: a ) 21 . , b ) 12 . , c ) 35 . , d ) 49 . , e ) 52 .
Output: b
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 w of that hemisphere ? 
Options: a ) 6 / π , b ) 9 / π , c ) 6 , d ) 9 , e ) 12
Output: d
Problem: triangle atriangle b are similar triangles with areas 2023 units square and 1792 units square respectively . the ratio of there corresponding height would be 
Options: a ) 9 : 10 , b ) 17 : 16 , c ) 23 : 27 , d ) 13 : 17 , e ) 15 : 23
Output: b
Problem: what is the radius of the incircle of the triangle whose sides measure 5 , 12 and 13 units ? 
Options: ['a ) 2 units', 'b ) 12 units', 'c ) 6.5 units', 'd ) 6 units', 'e ) 7.5 units']
Output: a
Problem: if the radius of a circle is decreased 40 % , what happens to the area ? 
Options: a ) 10 % decrease , b ) 20 % decrease , c ) 36 % decrease , d ) 40 % decrease , e ) 64 % decrease
Output: e
Problem: the length of a rectangular plot is thrice its width . if the area of the rectangular plot is 768 sq meters , then what is the width ( in meters ) of the rectangular plot ? 
Options: a ) 24 m , b ) 16 m , c ) 35 m , d ) 54 m , e ) 43 m
Output: b
Problem: what positive number , when squared , is equal to the cube of the positive square root of 14 ? 
Options: a ) 64 , b ) 32 , c ) 8 , d ) 4 , e ) 2
Output: d
Problem: the circumferences of two circles are 528 meters and 704 meters . find the difference between the areas of the larger and the smaller circles ? 
Options: a ) 29963 sq m , b ) 28937 sq m , c ) 43162 sq m , d ) 27688 sq m , e ) 17248 sq m
Output: e
Problem: rectangular tile each of size 70 cm by 30 cm must be laid horizontally on a rectangular floor of size 900 cm by 600 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 ) 70 , c ) 80 , d ) 90 , e ) 100
Output: e
Problem: the diagonals of a rhombus are 10 cm and 15 cm . find its area ? 
Options: a ) 75 , b ) 129 , c ) 150 , d ) 123 , e ) 117
Output: a
Problem: the percentage increase in the area of a rectangle , if each of its sides is increased by 20 % is 
Options: a ) 38 % , b ) 40 % , c ) 44 % , d ) 48 % , e ) 50 %
Output: c
Problem: the points a ( 0 , 0 ) , b ( 0 , 4 a - 2 ) and c ( 2 a + 1 , 2 a + 6 ) form a triangle . if angle abc = 90 , what is the area of triangle abc ? 
Options: a ) 58 , b ) 70 , c ) 63 , d ) 65 , e ) 72
Output: c
Problem: if the sides of a triangle are 31 cm , 29 cm and 15 cm , what is its area ? 
Options: a ) 220.75 cm 2 , b ) 258 cm 2 , c ) 225.50 cm 2 , d ) 222.25 cm 2 , e ) 217.5 cm 2
Output: e
Problem: what is the area a of the square with the following coordinates : ( x , y ) , ( 20 , 20 ) , ( 20 , 5 ) , ( x , 5 ) ? 
Options: ['a ) 60 .', 'b ) 85 .', 'c ) 125 .', 'd ) 225 .', 'e ) it can not be determined from the information given']
Output: d
Problem: 10 business executives and 7 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ? 
Options: a ) 144 , b ) 131 , c ) 115 , d ) 90 , e ) 45
Output: c
Problem: what is the measure of the radius of the circle that circumscribes a triangle whose sides measure 5 , 12 and 13 ? 
Options: a ) 2.5 , b ) 6.5 , c ) 5 , d ) 6.0 , e ) 7
Output: b
Problem: all the faces of cubes are painted with red colour . it is then cut into 64 equal small cubes . find how many small cubes are there whose two adjacent faces are coloured red ? 
Options: a ) 0 , b ) 8 , c ) 16 , d ) 24 , e ) 4
Output: d
Problem: there are two circles of different radii . the are of a square is 784 sq cm and its side is twice the radius of the larger circle . the radius of the larger circle is 7 - third that of the smaller circle . find the circumference of the smaller circle . 
Options: a ) 165 ∏ cm , b ) 65 ∏ cm , c ) 12 ∏ cm , d ) 14 ∏ cm , e ) 16 ∏ cm
Output: c
Problem: in a certain parallelogram the degree measure of one angle exceeds that of the other by 40 what is the degree measure of the smaller angle ? 
Options: a ) 70 , b ) 80 , c ) 85 , d ) 90 , e ) 95
Output: a
Problem: a wire can be bent in the form of a circle of radius 56 cm . if it is bent in the form of a square , then its area will be 
Options: a ) 7744 , b ) 8844 , c ) 5544 , d ) 4444 , e ) 3444
Output: a
Problem: a wire can be bent in the form of a circle of radius 56 cm . if it is bent in the form of a square , then its area will be ? 
Options: ['a ) 7744', 'b ) 8844', 'c ) 5544', 'd ) 4444', 'e ) 3444']
Output: a
Problem: right triangle abc is to be drawn in the xy - plane so that the right angle is at a and ab is parallel to the y - axis . if the x - and y - coordinates of a , b , and c are to be integers that are consistent with the inequalities - 6 ≤ x ≤ 2 and 4 ≤ y ≤ 9 , then how many different triangles can be drawn that will meet these conditions ? 
Options: a ) 54 , b ) 432 , c ) 2,160 , d ) 2,916 , e ) 148,824
Output: c
Problem: surface area of two spheres are in the ratio 1 : 4 what is the ratio of their volumes ? 
Options: ['a ) 1 : 9', 'b ) 1 : 8', 'c ) 1 : 3', 'd ) 1 : 4', 'e ) 1 : 5']
Output: b
Problem: one of the longest sides of the triangle is 20 m , the other side is 10 m . area of the triangle is 80 m ^ 2 . what is the another side of the triangle ? 
Options: ['a ) 2 sqrt ( 61 )', 'b ) 2 sqrt ( 62 )', 'c ) 2 sqrt ( 63 )', 'd ) 2 sqrt ( 64 )', 'e ) 2 sqrt ( 65 )']
Output: e
Problem: the ratio of the area of a square to that of the square drawn on its diagonal is 
Options: a ) 1 : 2 , b ) 1 : 0 , c ) 1 : 7 , d ) 1 : 5 , e ) 1 : 6
Output: a
Problem: the perimeter of one face of a cube is 40 cm . its volume will be : 
Options: a ) 125 cm 3 , b ) 400 cm 3 , c ) 250 cm 3 , d ) 1000 cm 3 , e ) none of these
Output: d
Problem: a rectangular courty 3.78 metres long and 5.25 metres 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 ) can not be determined']
Output: b
Problem: a box has 12 shapes ; 3 circles , 5 squares , and 4 triangles . how many groups of 3 shapes can be made with at least 1 triangle ? 
Options: ['a ) 46', 'b ) 64', 'c ) 164', 'd ) 146', 'e ) 56']
Output: c
Problem: the sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 180 m , its area is ? 
Options: a ) 90 , b ) 882 , c ) 277 , d ) 261 , e ) 281
Output: a
Problem: the base of a right triangle is 8 and hypotenuse is 10 . its area is ? 
Options: ['a ) 12', 'b ) 80', 'c ) 59', 'd ) 24', 'e ) 25']
Output: d
Problem: if paint costs $ 3.20 per quart , and a quart covers 60 square feet , how much will it cost to paint the outside of a cube 10 feet on each edge ? 
Options: a ) $ 1.60 , b ) $ 32.00 , c ) $ 96.00 , d ) $ 108.00 , e ) $ 196.00
Output: b
Problem: the area of a circular field is 17.56 hectares . find the cost of fencing it at the rate of rs . 5 per metre approximately 
Options: a ) 4457 , b ) 4567 , c ) 4235 , d ) 4547 , e ) 7429
Output: e
Problem: the volume of the sphere q is ( 37 / 64 ) % less than the volume of sphere p and the volume of sphere r is ( 19 / 27 ) % less than that of sphere q . by what is the surface area of sphere r less than the surface area of sphere p ? 
Options: ['a ) 77.77 %', 'b ) 75 %', 'c ) 67.5 %', 'd ) 87.5 %', 'e ) none of these']
Output: b
Problem: the curved surface of a right circular cone of height 15 cm and base diameter 16 cm is 
Options: ['a ) 40 ∏ cm ³', 'b ) 60 ∏ cm ³', 'c ) 136 ∏ cm ³', 'd ) 138 ∏ cm ³', 'e ) none']
Output: c
Problem: the length of a rectangular plot is thrice its width . if the area of the rectangular plot is 675 sq meters , then what is the width ( in meters ) of the rectangular plot ? 
Options: a ) 12 , b ) 15 , c ) 18 , d ) 21 , e ) 24
Output: b
Problem: the area of a square is equal to five times the area of a rectangle of dimensions 25 cm * 5 cm . what is the perimeter of the square ? 
Options: a ) 100 , b ) 800 , c ) 500 , d ) 600 , e ) 700
Output: a
Problem: if length of rectangle is increased by 10 % , and breadth is decreased by 10 % . what will it effect on area of rectangle ? 
Options: ['a ) it will have no effect', 'b ) 1 % increase', 'c ) 1 % decrease', 'd ) 2 % increase', 'e ) 2 % decrease']
Output: c
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 256 sq . feet , how many feet of fencing will be required ? 
Options: a ) 45.6 , b ) 40 , c ) 68 , d ) 88 , e ) 92
Output: a
Problem: the area of a rectangular plot is 18 times its breadth . if the difference between the length and the breadth is 10 metres , what is its breadth ? 
Options: a ) 10 metres , b ) 8 metres , c ) 7.5 metres , d ) data inadequate , e ) none of these
Output: b
Problem: the surface of a cube is 150 sq cm . find its volume ? 
Options: a ) 8 cc , b ) 9 cc , c ) 125 cc , d ) 4 cc , e ) 6 cc
Output: c
Problem: in a rectangular coordinate system , what is the area of a triangle whose vertices have the coordinates ( - 1 , 0 ) , ( 7 , 4 ) , and ( 7 , - 4 ) ? 
Options: ['a ) 29', 'b ) 30', 'c ) 31', 'd ) 32', 'e ) 33']
Output: d
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 . 22 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 ) 103
Output: e
Problem: how many internal diagonals does a hexagon ( 6 sided polygon ) have ? 
Options: a ) 5 , b ) 6 , c ) 8 , d ) 9 , e ) 10
Output: d
Problem: what is the area of a square field whose diagonal of length 20 m ? 
Options: ['a ) 288', 'b ) 289', 'c ) 200', 'd ) 112', 'e ) 178']
Output: c
Problem: the radius of a semicircular plot is 25 . what is the approximate perimeter of the plot ? 
Options: ['a ) 114', 'b ) 150', 'c ) 129', 'd ) 25', 'e ) 57']
Output: c
Problem: what is the equation of a circle of radius 5 units centered at ( 3 , 2 ) ? 
Options: ['a ) x ^ 2 + y ^ 2 + 6 x – 4 y = 23', 'b ) x ^ 2 + y ^ 2 - 6 x + 4 y = 23', 'c ) x ^ 2 + y ^ 2 + 6 x + 4 y = 23', 'd ) x ^ 2 + y ^ 2 - 6 x – 4 y = - 12', 'e ) x ^ 2 + y ^ 2 - 6 x – 4 y = 12']
Output: e
Problem: the area of a triangle is with base 12 m and height 5 m ? 
Options: a ) 88 m 2 , b ) 30 m 2 , c ) 66 m 2 , d ) 77 m 2 , e ) 31 m 2
Output: b
Problem: find the area of the quadrilateral of one of its diagonals is 10 cm and its off sets 7 cm and 3 cm ? 
Options: a ) 50 cm 2 , b ) 100 cm 2 , c ) 150 cm 2 , d ) 200 cm 2 , e ) 250 cm 2
Output: a
Problem: the volume of a cube is 1331 cc . find its surface . 
Options: a ) 864 , b ) 726 , c ) 255 , d ) 287 , e ) 267
Output: b
Problem: the sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 360 m , its area is ? 
Options: a ) 180 , b ) 882 , c ) 277 , d ) 261 , e ) 281
Output: a
Problem: if the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm , a square with the same area as the original rectangle would result . find the perimeter of the original rectangle . 
Options: ['a ) 40 cm', 'b ) 45 cm', 'c ) 50 cm', 'd ) 52 cm', 'e ) 57 cm']
Output: c
Problem: the area of sector of a circle whose radius is 15 metro and whose angle at the center is 42 â ° is ? 
Options: a ) 52.6 , b ) 52.9 , c ) 52.8 , d ) 52.1 , e ) 82.5
Output: e
Problem: what is the max number of rectangular boxes , each measuring 5 inches by 2 inches by 7 inches , that can be packed into a rectangular packing box measuring 15 inches by 20 inches by 35 inches , if all boxes are aligned in the same direction ? 
Options: a ) 200 , b ) 350 , c ) 100 , d ) 150 , e ) 120
Output: d
Problem: the cost of the paint is rs . 50 per kg . if 1 kg of paint covers 20 sq . ft , how much will it cost to paint outside of a cube having 20 feet each side 
Options: a ) rs . 962 , b ) rs . 6000 , c ) rs . 546 , d ) rs . 876 , e ) none of these
Output: b
Problem: what is the ratio between perimeters of two squares one having 4 times the diagonal then the other ? 
Options: a ) 3 : 8 , b ) 3 : 6 , c ) 3 : 7 , d ) 4 : 1 , e ) 3 : 3
Output: d
Problem: consider a square of diagonal length d . let another square be formed with d as its side . find the ratio of the area of the bigger square to that of the smaller square . 
Options: ['a ) 2', 'b ) 3', 'c ) 4', 'd ) 16', 'e ) 41']
Output: a
Problem: find the area of a parallelogram with base 12 cm and height 10 cm ? 
Options: a ) 297 cm 2 , b ) 384 cm 2 , c ) 120 cm 2 , d ) 267 cm 2 , e ) 186 cm 2
Output: c
Problem: find the area of circle whose radius is 7 m ? 
Options: ['a ) 121 sq m', 'b ) 184 sq m', 'c ) 174 sq m', 'd ) 124 sq m', 'e ) 154 sq m']
Output: e
Problem: what is the perimeter of a square with area p ^ 2 / 16 ? 
Options: ['a ) 3 p / 4', 'b ) 3 p ^ 2 / 4', 'c ) p', 'd ) 3 p ^ 2', 'e ) 4 p / 3']
Output: c
Problem: the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 6 cm each . the radius of the sphere is 
Options: a ) 3 cm , b ) 4 cm , c ) 6 cm , d ) 8 cm , e ) none
Output: a
Problem: in a rectangular coordinate system , what is the area of a rectangle whose vertices have the coordinates ( - 5 , 1 ) , ( 1 , 1 ) , ( 1 , - 4 ) and ( - 5 , - 4 ) ? 
Options: ['a ) 20', 'b ) 30', 'c ) 40', 'd ) 55', 'e ) 48']
Output: b
Problem: in a rectangular axis system , what is the area of a parallelogram with the coordinates : ( 5,7 ) , ( 12,7 ) , ( 2,3 ) , ( 9,3 ) ? 
Options: a ) 21 , b ) 28 . , c ) 35 . , d ) 49 . , e ) 52 .
Output: a
Problem: a rectangular floor that measures 6 meters by 10 meters is to be covered with carpet squares that each measure 2 meters by 2 meters . if the carpet squares cost $ 15 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 ) $ 225 , e ) $ 1,920
Output: d
Problem: what is the perimeter of a rectangular field whose diagonal is 5 m and length is 4 m ? 
Options: a ) 20 m , b ) 15 m , c ) 14 m , d ) 10 m , e ) 25 m
Output: c
Problem: twenty - one dots are evenly spaced on the circumference of a circle . how many combinations of three dots can we make from these 21 dots that do not form an equilateral triangle ? 
Options: ['a ) 1299', 'b ) 1305', 'c ) 1311', 'd ) 1317', 'e ) 1323']
Output: e
Problem: the mass of 1 cubic meter of a substance is 500 kg under certain conditions . what is the volume in cubic centimeters of 1 gram of this substance under these conditions ? ( 1 kg = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters ) 
Options: a ) 0.1 , b ) 0 , c ) 1 , d ) 2 , e ) 3
Output: d
Problem: if the length of the sides of two cubes are in the ratio 2 : 1 , what is the ratio of their total surface area ? 
Options: a ) 2 : 1 , b ) 3 : 1 , c ) 4 : 1 , d ) 6 : 1 , e ) 8 : 1
Output: c
Problem: the perimeter of one face of a cube is 28 cm . its volume will be : 
Options: a ) 125 cm 3 , b ) 343 cm 3 , c ) 250 cm 3 , d ) 625 cm 3 , e ) none of these
Output: b
Problem: the measurement of a rectangular box with lid is 50 cmx 30 cmx 38 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 ) 4500 , c ) 7200 , d ) 864 , e ) 9640
Output: b
Problem: what will be the cost of building a fence around a square plot with area equal to 289 sq ft , if the price per foot of building the fence is rs . 58 ? 
Options: ['a ) rs . 3944', 'b ) rs . 3942', 'c ) rs . 3987', 'd ) rs . 3929', 'e ) rs . 3938']
Output: a
Problem: a rectangular mat has an area of 120 sq . metres and perimeter of 46 m . the length of its diagonal is : 
Options: ['a ) 19 m', 'b ) 17 m', 'c ) 15 m', 'd ) 16 m', 'e ) 20 m']
Output: b