niryuu/sni-each-converted huggingface dataset:
Problem: two sides of a triangle have lengths x and w and meet at a right angle . if the perimeter of the triangle is 4 x , what is the ratio of x to w ? 
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 radius of a cylinder is 8 m , height 14 m . the volume of the cylinder is : 
Options: a ) 2816 , b ) 5500 , c ) 3300 , d ) 1100 , e ) 4400
Output: a
Problem: a regular 10 sided area is inscribed in a circle . if a and b are adjacent vertices of the pentagon and o is the center of the circle , what is the value of ∠ oab ? 
Options: ['a ) 48 degrees', 'b ) 54 degrees', 'c ) 72 degrees', 'd ) 84 degrees', 'e ) 72 degrees']
Output: e
Problem: if paint costs $ 3.20 per quart , and a quart covers 1200 square feet , how much will it cost to paint the outside of a cube 10 feet on each edge ? 
Options: ['a ) $ 1.60', 'b ) $ 16.00', 'c ) $ 96.00', 'd ) $ 108.00', 'e ) $ 196.00']
Output: a
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 error percent in the area calculated from these measurements . 
Options: a ) 0.8 % , b ) 0.2 % , c ) 0.4 % , d ) 0.9 % , e ) 0.6 %
Output: a
Problem: the length of a rectangle is reduced by 15 % . by what % would the width have to be increased to maintain the original area ? 
Options: ['a ) 10 %', 'b ) 20 %', 'c ) 17.6 %', 'd ) 30 %', 'e ) 35 %']
Output: c
Problem: how much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 9 inches than that of a rectangular sheet of paper measuring 4.5 inches by 11 inches ? 
Options: a ) 50 % , b ) 87 % , c ) 100 % , d ) 187 % , e ) 200 %
Output: c
Problem: the product of the squares of two positive integers is 900 . how many pairs of positive integers satisfy this condition ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Output: e
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 680 sq . feet , how many feet of fencing will be required ? 
Options: a ) 34 , b ) 40 , c ) 68 , d ) 88 , e ) 98
Output: d
Problem: the area of a triangle is with base 3 m and height 10 m ? 
Options: a ) 88 m 2 , b ) 10 m 2 , c ) 66 m 2 , d ) 15 m 2 , e ) 31 m 2
Output: c
Problem: the perimeter of a square is 48 m . find the area of the square . 
Options: ['a ) 161 m â ² .', 'b ) 144 m â ² .', 'c ) 166 m â ² .', 'd ) 169 m â ² .', 'e ) 273 m â ² .']
Output: b
Problem: a rectangular courtyard , the sides of which are in the ratio of 4 : 3 , cost rs . 600 for paving at 50 p per m 2 ; find the length of the diagonal of the courtyard ? 
Options: ['a ) 17 m', 'b ) 45 m', 'c ) 54 m', 'd ) 77 m', 'e ) 34 m']
Output: b
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 q in inches of the width of the foil covered prism ? 
Options: a ) 4 , b ) 6 , c ) 8 , d ) 9 , e ) 10
Output: e
Problem: 62 small identical cubes are used to form a large cube . how many more cubes are needed to add one top layer of small cube all over the surface of the large cube ? 
Options: a ) 64 , b ) 128 , c ) 152 , d ) 154 , e ) 256
Output: d
Problem: the area of a square is equal to seven times the area of a rectangle of dimensions 25 cm * 343 cm . what is the perimeter of the square ? 
Options: a ) 810 cm , b ) 800 cm , c ) 980 cm , d ) 718 cm , e ) 860 cm
Output: c
Problem: the number 219 can be written as sum of the squares of 3 different positive integers . what is the sum of these 3 different integers ? 
Options: a ) 20 , b ) 21 , c ) 19 , d ) 17 , e ) 15
Output: b
Problem: in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 3.5 ) , ( 12 , 0 ) , ( 0 , - 3.5 ) , ( - 12 , 0 ) ? 
Options: a ) 84 , b ) 88 , c ) 112 , d ) 116 , e ) 120
Output: a
Problem: in a certain circle there are 10 points . what is the number of the triangles connecting 4 points of the 10 points ? 
Options: a ) 80 , b ) 96 , c ) 108 , d ) 120 , e ) 210
Output: e
Problem: what is the smallest positive integer x , such that 7000 x is a perfect cube ? 
Options: a ) 4 , b ) 6 , c ) 8 , d ) 12 , e ) 18
Output: d
Problem: the radius of the two circular fields is in the ratio 3 : 10 the area of the first field is what percent less than the area of the second ? 
Options: a ) 71 % , b ) 51 % , c ) 91 % , d ) 81 % , e ) 61 %
Output: c
Problem: the ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 4332 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: b
Problem: twenty four meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 2 √ 2 , b ) 2 √ 5 , c ) 6 , d ) 4 √ 2 , e ) none of these
Output: c
Problem: a certain farmer pays $ 30 per acre per month to rent farmland . how much does the farmer pay per month to rent a rectangular plot of farmland that is 360 feet by 1210 feet ? ( 43,560 square feet = 1 acre ) 
Options: ['a ) $ 5,330', 'b ) $ 3,360', 'c ) $ 1,350', 'd ) $ 300', 'e ) $ 150']
Output: d
Problem: the perimeter of a triangle is 32 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle 
Options: a ) a ) 40 , b ) b ) 828 , c ) c ) 729 , d ) d ) 34 , e ) e ) 35
Output: a
Problem: the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 2028 sq m , then what is the breadth of the rectangular plot ? 
Options: a ) 11 , b ) 17 , c ) 26 , d ) 101 , e ) 1322
Output: c
Problem: what is the area of square field whose side of length 14 m ? 
Options: a ) 225 , b ) 196 , c ) 266 , d ) 288 , e ) 261
Output: b
Problem: a rectangular block 12 cm by 36 cm by 60 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: c
Problem: what is the ratio between perimeters of two squares one having 2 times the diagonal then the other ? 
Options: a ) 3 : 8 , b ) 3 : 6 , c ) 3 : 7 , d ) 2 : 1 , e ) 3 : 3
Output: d
Problem: if anangletis defined as 1 percent of 1 degree , then how many anglets are there in a sixth of a circle ? 
Options: a ) 0.36 , b ) 3.6 , c ) 360 , d ) 6000 , e ) 36000
Output: d
Problem: a semicircle has a radius of 9 . what is the approximate perimeter of the semicircle ? 
Options: a ) 16 , b ) 25 , c ) 33 , d ) 46 , e ) 58
Output: d
Problem: if the sides of a triangle are 30 cm , 26 cm and 10 cm , what is its area ? 
Options: a ) 120 , b ) 110 , c ) 130 , d ) 140 , e ) 150
Output: c
Problem: in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 5.5 ) , ( 8 , 0 ) , ( 0 , - 5.5 ) , ( - 8 , 0 ) ? 
Options: ['a ) 56', 'b ) 88', 'c ) 112', 'd ) 116', 'e ) 120']
Output: b
Problem: a block of wood has dimensions 10 cm x 10 cm x 40 cm . the block is painted red and then cut evenly at the 20 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 % , b ) 10 % , c ) 15 % , d ) 20 % , e ) 25 %
Output: b
Problem: the volume of a sphere with radius r is ( 4 / 3 ) * pi * r ^ 3 and the surface area is 4 * pi * r ^ 3 . if a sperical balloon has a volume of 4500 pi cubic centimeters , what is hte surface area of the balloon in square centimeters ? 
Options: a ) a . 40 , b ) b . 100 , c ) c . 400 , d ) d . 1,000 , e ) e . 2,000
Output: e
Problem: in 2 triangle , the ratio of the areas is 4 : 3 and that of their heights is 3 : 4 . find the ratio of their bases ? 
Options: a ) 10 : 8 , b ) 11 : 8 , c ) 16 : 9 , d ) 17 : 19 , e ) 17 : 10
Output: c
Problem: carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 12 inches by 15 inches and jordan ' s rectangle is 9 inches long , how wide is jordan ' s rectangle , in inches ? 
Options: a ) 17 , b ) 18 , c ) 19 , d ) 20 , e ) 21
Output: d
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 bc = 13 cm , then find the length of de . 
Options: a ) 12 , b ) 13 , c ) 14 , d ) 11 , e ) 15
Output: c
Problem: two equal triangles constitute rhombus a . if the diagonals of rhombus are 15 cm and 20 cm long . what is the area of each triangle ? 
Options: ['a ) 300', 'b ) 150', 'c ) 75', 'd ) 40', 'e ) 20']
Output: c
Problem: a room is 30 m long and 24 m broad . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , the volume of the hall is : 
Options: ['a ) 9.6 m 3', 'b ) 96 m 3', 'c ) 960 m 3', 'd ) 9600 m 3', 'e ) 96000 m 3']
Output: d
Problem: in an electric circuit , three resistors with resistances 2 ohms , 5 ohms and 6 ohms are connected in parallel . in this case , if r is the combined resistance of these three resistors , then the reciprocal of r is equal to the sum of the reciprocals resistors . what is r value ? 
Options: ['a ) 13 / 15 ohms', 'b ) 15 / 13 ohms', 'c ) 5 / 8 ohms', 'd ) 3 / 7 ohms', 'e ) 45 / 18 ohms']
Output: a
Problem: the perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ? 
Options: ['a ) 30', 'b ) 31', 'c ) 32', 'd ) 34', 'e ) 35']
Output: e
Problem: the ratio of radius of a circle and the side of a square is 2 : 9 . find the ratio of their areas : 
Options: a ) 2 : 1 , b ) 4 : 7 , c ) 8 : 77 , d ) 4 : 81 , e ) none
Output: d
Problem: triangle xyz is an isosceles right triangle . if side xy is longer than side yz , and the area of the triangle is 25 , what is the measure of side xy ? 
Options: a ) 10 , b ) 4 √ 2 , c ) 8 , d ) 8 √ 2 , e ) can not be determined from the information provided
Output: a
Problem: a metallic sheet is of rectangular shape with dimensions 20 m x 25 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 2 m , the volume of the box ( in m cube ) is : 
Options: a ) 4120 m cube , b ) 4140 m cube , c ) 5140 m cube , d ) 1344 m cube , e ) none of these
Output: d
Problem: on dividing a number by 5 , we get 3 as remainder . what will the remainder when the square of the this number is divided by 5 ? 
Options: a ) 0 , b ) 5 , c ) 8 , d ) 9 , e ) 4
Output: e
Problem: the area of a triangle will be when a = 2 m , b = 4 m , c = 6 m , a , b , c being lengths of respective sides ? 
Options: a ) 3 , b ) 7 , c ) 5 , d ) 6 , e ) 4
Output: d
Problem: the length of a rectangle is twice its breadth . if its length is decreased by 5 cm and breadth is increased by 5 cm , the area of the rectangle is increased by 75 sq . cm . find the length of the rectangle ? 
Options: a ) 10 cm , b ) 40 cm , c ) 20 cm , d ) 30 cm , e ) 50 cm
Output: b
Problem: the area of the house of a hall is 20 m 2 that of a longer wall 10 m 2 and of the shorter wall 8 m 2 , find the edge of the new cube ? 
Options: ['a ) 45 m 3', 'b ) 40 m 3', 'c ) 60 m 3', 'd ) 600 m 3', 'e ) 300 m 3']
Output: b
Problem: the cost of the paint is rs . 40 per kg . if 1 kg of paint covers 20 sq . ft , how much will it cost to paint outside of a cube having 30 feet each side 
Options: a ) rs . 962 , b ) rs . 672 , c ) rs . 546 , d ) rs . 10800 , e ) none of these
Output: d
Problem: the area of a square garden is a square feet and the perimeter is p feet . if a = 2 p + 14.25 , what is the perimeter of the garden , in feet ? 
Options: ['a ) 38', 'b ) 36', 'c ) 40', 'd ) 56', 'e ) 64']
Output: a
Problem: find the area of a right - angled triangle whose base is 12 cm and hypotenuse is 13 cm . 
Options: ['a ) 15', 'b ) 30', 'c ) 18', 'd ) 12', 'e ) 25']
Output: b
Problem: the area of a parallelogram is 1764 sq m and its base is nine times size of the corresponding altitude . then the length of the base is ? 
Options: a ) 21 , b ) 9 , c ) 11 , d ) 14 , e ) 7
Output: d
Problem: the area of a square garden is q square feet and the perimeter is p feet . if q = 2 p + 33 , what is the perimeter of the garden in feet ? 
Options: a ) 28 , b ) 32 , c ) 36 , d ) 40 , e ) 44
Output: e
Problem: find the area of the quadrilateral of one of its diagonals is 50 cm and its off sets 15 cm and 5 cm ? 
Options: a ) 100 cm 2 , b ) 150 cm 2 , c ) 200 cm 2 , d ) 250 cm 2 , e ) 500 cm 2
Output: e
Problem: find the area of a rhombus one side of which measures 20 cm and one diagonal is 26 cm . 
Options: a ) 600 cm 2 , b ) 500 cm 2 , c ) 516 cm 2 , d ) 416 cm 2 , e ) 100 cm 2
Output: d
Problem: if k and w are the dimensions of a rectangle that has area 48 , and if k and w are integers such that k > w , what is the total number of possible values of k ? 
Options: a ) four , b ) three , c ) two , d ) five , e ) six
Output: a
Problem: a cube of edge 16 cm is immersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 20 cm * 15 cm , find the rise in water level ? 
Options: a ) 6 cm , b ) 8.25 cm , c ) 13.65 cm , d ) 15.12 cm , e ) 20.62 cm
Output: c
Problem: the area of a square is equal to five times the area of a rectangle of dimensions 32 cm * 10 cm . what is the perimeter of the square ? 
Options: ['a ) 289 cm', 'b ) 160 cm', 'c ) 829 cm', 'd ) 288 cm', 'e ) 289 cm']
Output: b
Problem: if the radius of a circle is decreased 20 % , what happens to the area ? 
Options: a ) 10 % decrease , b ) 20 % decrease , c ) 36 % decrease , d ) 40 % decrease , e ) 50 % decrease
Output: c
Problem: for a right angle triangle the hypotenuse is 5 and base is 3 . what is the area of the triangle ? 
Options: ['a ) 6', 'b ) 7', 'c ) 8', 'd ) 9', 'e ) 10']
Output: a
Problem: the angle between two hands at 3.45 is 
Options: a ) 110 degree , b ) 115 degree , c ) 112 1 / 2 degree , d ) 117 degree , e ) 157 1 / 2 degree
Output: e
Problem: three walls have wallpaper covering a combined area of 300 square meters . by overlapping the wallpaper to cover a wall with an area of 180 square meters , the area that is covered by exactly two layers of wallpaper is 34 square meters . what is the area that is covered with three layers of wallpaper ? 
Options: a ) 43 square meters , b ) 36 square meters , c ) 42 square meters , d ) 83.3 square meters , e ) 120 square meters
Output: a
Problem: when a certain perfect square is increased by 148 , the result is another perfect square . what is the value of the original perfect square ? 
Options: ['a ) 1296', 'b ) 1369', 'c ) 1681', 'd ) 1764', 'e ) 2500']
Output: a
Problem: if the area of a square with sides of length 6 centimeters is equal to the area of a rectangle with a width of 4 centimeters , what is the length of the rectangle , in centimeters ? 
Options: a ) 4 , b ) 8 , c ) 12 , d ) 9 , e ) 18
Output: d
Problem: if the volume of the cube is 729 , then the surface area of the cube will be 
Options: ['a ) 486', 'b ) 255', 'c ) 2866', 'd ) 265', 'e ) 872']
Output: a
Problem: a cube has a volume of 343 cubic feet . if a similar cube is twice as long , twice as wide , and twice as high , then the volume , in cubic feet of such cube is ? 
Options: a ) 24 , b ) 48 , c ) 64 , d ) 2744 , e ) 100
Output: d
Problem: the volume of a cube is 3375 cc . find its surface . 
Options: a ) 1350 , b ) 1150 , c ) 1456 , d ) 1254 , e ) 1489
Output: a
Problem: a closed cylindrical tank contains 36 pie cubic feet of water and its filled to half its capacity . when the tank is placed upright on its circular base on level ground , the height of water in the tank is 4 feet . when the tank is placed on its side on level ground , what is the height , in feet , of the surface of the water above the ground ? 
Options: ['a ) 0 feet', 'b ) 1 feet', 'c ) 2 feet', 'd ) 3 feet', 'e ) 4 feet']
Output: d
Problem: a math teacher has 26 cards , each of which is in the shape of a geometric figure . half of the cards are rectangles , and a third of the cards are rhombuses . if 8 cards are squares , what is the maximum possible number of cards that re circles . 
Options: a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 13
Output: a
Problem: 66 small identical cubes are used to form a large cube . how many more cubes are needed to add one top layer of small cube all over the surface of the large cube ? 
Options: a ) 64 , b ) 150 , c ) 152 , d ) 216 , e ) 256
Output: b
Problem: a small table has a length of 12 inches and a breadth of b inches . cubes are placed on the surface of the table so as to cover the entire surface . the maximum side of such cubes is found to be 4 inches . also , a few such tables are arranged to form a square . the minimum length of side possible for such a square is 24 inches . find b . 
Options: a ) 8 , b ) 16 , c ) 24 , d ) 32 , e ) 48
Output: a
Problem: how much space , in cubic units , is left vacant when maximum number of 4 x 4 x 4 cubes are fitted in a rectangular box measuring 10 x 12 x 16 ? 
Options: ['a ) 0', 'b ) 36', 'c ) 180', 'd ) 216', 'e ) 384']
Output: e
Problem: a number when divided by 6 leaves a remainder 3 . when the square of the same number is divided by 6 , the remainder is : 
Options: ['a ) 0', 'b ) 1', 'c ) 2', 'd ) 3', 'e ) 4']
Output: d
Problem: find the cube root of 804357 ? 
Options: a ) 22 , b ) 88 , c ) 93 , d ) 19 , e ) 18
Output: c
Problem: the inside dimensions of a rectangular wooden box are 4 meters by 5 meters by 6 meters . a cylindrical drum is to be placed inside the box so that it stands upright when the closed box rests on one of its six faces . of all such drums that could be used , what is the volume , in cubic meters , of the one that has maximum volume ? 
Options: ['a ) 20 π', 'b ) 24 π', 'c ) 25 π', 'd ) 96 π', 'e ) 100 π']
Output: c
Problem: if the radius of a circle is increased by 10 % then the area is increased by : 
Options: a ) 44 % , b ) 120 % , c ) 144 % , d ) 40 % , e ) 21 %
Output: e
Problem: a math teacher has 27 cards , each of which is in the shape of a geometric figure . half of the cards are rectangles , and a third of the cards are rhombuses . if 8 cards are squares , what is the maximum possible number of cards that re circles . 
Options: ['a ) 9', 'b ) 10', 'c ) 11', 'd ) 12', 'e ) 13']
Output: b
Problem: a clockwise rotation around point z ( that is , a rotation in the direction of the arrow ) transforms the shaded quadrilateral to the unshaded quadrilateral . the angle of rotation is approximately 
Options: a ) 180 o , b ) 270 o , c ) 360 o , d ) 45 o , e ) 135 o
Output: b
Problem: how many odd numbers between 10 and 1600 are the squares of integers ? 
Options: a ) 9 , b ) 12 , c ) 15 , d ) 18 , e ) 21
Output: d
Problem: if the diameter of circle r is 80 % of the diameter of circle s , the area of circle r is what percent of the area of circle s ? 
Options: a ) 74 % , b ) 64 % , c ) 84 % , d ) 94 % , e ) 34 %
Output: b
Problem: a metallic sheet is of rectangular shape with dimensions 48 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 4 m , the volume of the box ( in m 3 ) is : 
Options: a ) 4480 , b ) 5120 , c ) 6420 , d ) 8960 , e ) 7960
Output: a
Problem: what will be the cost of building a fence around a square plot with area equal to 49 sq ft , if the price per foot of building the fence is rs . 58 ? 
Options: a ) 3944 , b ) 1624 , c ) 2999 , d ) 2667 , e ) 2121
Output: b
Problem: if the perimeter of square region d and the perimeter of rectangular region r are equal and the sides of r are in the ratio 2 : 3 then the ratio of the area of r to the area of d 
Options: ['a ) 25 : 16', 'b ) 24 : 25', 'c ) 5 : 6', 'd ) 4 : 5', 'e ) 4 : 9']
Output: b
Problem: the diagonal of a rhombus are 70 m and 160 m . its area is : 
Options: a ) 1940 , b ) 4800 , c ) 5600 , d ) 5200 , e ) 5000
Output: c
Problem: the radius of a cylinder is 10 m , height 15 m . the volume of the cylinder is : 
Options: a ) 2200 , b ) 5500 , c ) 3300 , d ) 1100 , e ) 4714.3
Output: e
Problem: the diameter of a cylindrical tin is 6 cm and height is 5 cm . find the volume of the cylinder ? 
Options: ['a ) 33', 'b ) 45', 'c ) 66', 'd ) 77', 'e ) 21']
Output: b
Problem: a squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 5 feet . how many feet does the squirrel travels if the post is 25 feet tall and 3 feet in circumference ? 
Options: ['a ) 10 feet', 'b ) 12 feet', 'c ) 13 feet', 'd ) 15 feet', 'e ) 18 feet']
Output: d
Problem: the volume of the largest right circular cone that can be cut out of a cube of edge 7 cm is : 
Options: ['a ) 89.8 cm ³', 'b ) 92.5 cm ³', 'c ) 132.8 cm ³', 'd ) 144.5 cm ³', 'e ) none']
Output: a
Problem: the largest one digit number which is a perfect cube , is : 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 1 , e ) 0
Output: b
Problem: the area of a triangle will be when a = 1 m , b = 2 m , c = 3 m , a , b , c being lengths of respective sides . 
Options: ['a ) 0 sq m', 'b ) 7 sq m', 'c ) 2 sq m', 'd ) 3 sq m', 'e ) 6 sq m']
Output: a
Problem: an artist wishes to paint a circular region on a square poster that is 5 feet on a side . if the area of the circular region is to be 1 / 2 the area of the poster , what must be the radius of the circular region in feet ? 
Options: a ) 1 / pi , b ) sqrt ( 2 / pi ) , c ) 2 / sqrt ( pi ) , d ) sqrt ( 12.5 / pi ) , e ) pi / 2
Output: d
Problem: find the area of a parallelogram with base 24 cm and height 16 cm . 
Options: a ) 379 , b ) 384 , c ) 345 , d ) 342 , e ) 376
Output: b
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 60 ounces of this substance ? 
Options: a ) 27 , b ) 36 , c ) 25 , d ) 64 , e ) 147
Output: c
Problem: the monthly rent of a shop of dimension 20 feet × 18 feet is rs . 1440 . what is the annual rent per square foot of the shop ? 
Options: ['a ) 48', 'b ) 56', 'c ) 68', 'd ) 87', 'e ) 92']
Output: a
Problem: the area of a rectangular field is equal to 300 square meters . its perimeter is equal to 70 meters . find the width of this rectangle . 
Options: a ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) 25
Output: c
Problem: the area of a parallelogram is 72 cm ^ 2 and its altitude is twice the corresponding base . what is the length of the base ? 
Options: ['a ) 1 cm', 'b ) 3 cm', 'c ) 6 cm', 'd ) 4 cm', 'e ) 2 cm']
Output: c
Problem: the length of rectangle is thrice its breadth and its perimeter is 120 m , find the area of the rectangle ? 
Options: a ) 432 sq m , b ) 356 sq m , c ) 452 sq m , d ) 428 sq m , e ) 675 sq m
Output: e
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 - 7 ≤ x ≤ 1 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 ) 3024 , e ) 148,824
Output: d
Problem: what is the smallest positive integer x , such that 2160 x is a perfect cube ? 
Options: a ) 100 , b ) 6 , c ) 8 , d ) 12 , e ) 18
Output: a
Problem: how much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 15 inches than that of a rectangular sheet of paper measuring 7.5 inches by 11 inches ? 
Options: a ) 50 % , b ) 87 % , c ) 100 % , d ) 187 % , e ) 200 %
Output: c
Problem: five equal cubes , each of side 5 cm , are placed adjacent to each other . the volume of the new solid formed will be 
Options: ['a ) 125 cm 3', 'b ) 625 cm 3', 'c ) 15525 cm 3', 'd ) 1225 cm 3', 'e ) none']
Output: b
Problem: what is the smallest positive integer nn such that √ 6,480 ∗ n is a perfect cube ? 
Options: a ) 5 , b ) 5 ^ 2 , c ) 30 , d ) 30 ^ 2 , e ) 30 ^ 4
Output: e
Problem: the perimeter of one square is 48 cm and that of another is 20 cm . find the perimeter and the diagonal of a square which is equal in area to these two combined ? 
Options: ['a ) 5 cm', 'b ) 13 √ 2 cm', 'c ) 12 cm', 'd ) 6 cm', 'e ) 8 cm']
Output: b
Problem: what is the total surface area in square meters of a rectangular solid whose length is 6 meters , width is 5 meters , and depth is 2 meters ? 
Options: ['a ) 100 m 2', 'b ) 104 m 2', 'c ) 106 m 2', 'd ) 108 m 2', 'e ) 160 m 2']
Output: b
Problem: what is the area of a square field whose diagonal of length 14 m ? 
Options: a ) 160 sq m , b ) 140 sq m , c ) 200 sq m , d ) 400 sq m , e ) 180 sq m
Output: b
Problem: the number 90 can be written as the sum of the squares of 4 different positive integers . what is the sum of these 4 integers ? 
Options: a ) 17 , b ) 16 , c ) 15 , d ) 14 , e ) 13
Output: b
Problem: if a square mirror has a 20 - inch diagonal , what is the approximate perimeter t of the mirror , in inches ? 
Options: a ) 40 , b ) 60 , c ) 80 , d ) 100 , e ) 120
Output: b
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 193 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 ) 8,208 , b ) 9,409 , c ) 11,424 , d ) 12,586 , e ) can not be determined
Output: b
Problem: what is the area of an equilateral triangle whose one side length is 90 ? 
Options: ['a ) 4025 √ 3', 'b ) 3525 √ 3', 'c ) 3025 √ 3', 'd ) 2525 √ 3', 'e ) 2025 √ 3']
Output: e
Problem: if the diameter of circle r is 60 % of the diameter of circle s , the area of circle r is what percent of the area of circle s ? 
Options: ['a ) 50 %', 'b ) 46 %', 'c ) 36 %', 'd ) 26 %', 'e ) 38 %']
Output: c
Problem: the ratio of radius of a circle and the side of a square is 2 : 7 . find the ratio of their areas : 
Options: a ) 2 : 1 , b ) 4 : 7 , c ) 8 : 77 , d ) 4 : 49 , e ) none
Output: d
Problem: what is the measure of the angle e 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: the length of each side of an equilateral triangle having an area of 4 √ 3 cm 2 is ? 
Options: ['a ) 3 : 4', 'b ) 3 : 9', 'c ) 3 : 7', 'd ) 3 : 1', 'e ) 3 : 2']
Output: a
Problem: 2.2 cubic dm of lead is to be drawn into a cylindrical wire 0.50 cm diameter . find the length of the wire in meters . 
Options: ['a ) 110', 'b ) 111', 'c ) 113', 'd ) 112', 'e ) none of them']
Output: d
Problem: if the sides of a triangle are 30 cm , 28 cm and 14 cm , what is its area ? 
Options: a ) 196 cm 2 , b ) 187 cm 2 , c ) 178 cm 2 , d ) 189 cm 2 , e ) 176 cm 2
Output: a
Problem: the area of a circular field is 13.86 hectares . find the cost of fencing it at the rate of rs . 4.90 per metre . 
Options: a ) 2399 , b ) 3888 , c ) 2999 , d ) 5808 , e ) 6468
Output: e
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 . 25 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 ) 100
Output: e
Problem: a man walking at the rate of 6 km per hour crosses a square field diagonally in 9 seconds the area of the field is 
Options: ['a ) 110 sq . m', 'b ) 111.5 aq . m', 'c ) 112.5 sq . m', 'd ) 114 sq . m', 'e ) none of these']
Output: c
Problem: the perimeter of a triangle is 48 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ? 
Options: a ) 87 cm 2 , b ) 28 cm 2 , c ) 98 cm 2 , d ) 26 cm 2 , e ) 60 cm 2
Output: e
Problem: what is the measure of the radius of the circle that circumscribes a triangle whose sides measure 3 , 4 , and 5 ? 
Options: a ) 3.5 , b ) 3 , c ) 5 , d ) 4 , e ) 2.5
Output: e
Problem: what should be added to 4750 so that it may become a perfect square ? 
Options: a ) 11 , b ) 15 , c ) 16 , d ) 17 , e ) 18
Output: a
Problem: triangle atriangle b are similar triangles with areas 1792 units square and 2527 units square respectively . the ratio of there corresponding height would be 
Options: a ) 9 : 10 , b ) 17 : 19 , c ) 23 : 27 , d ) 16 : 19 , e ) 15 : 23
Output: d
Problem: the length of a rectangle is four times its width . if the area is 100 m 2 what is the length of the rectangle ? 
Options: a ) 50 m , b ) 40 m , c ) 80 m , d ) 20 m , e ) 70 m
Output: d
Problem: the area of a square field is 400 km 2 . how long will it take for a horse to run around at the speed of 20 km / h ? 
Options: a ) 12 h , b ) 10 h , c ) 4 h , d ) 6 h , e ) none of these
Output: c
Problem: if the difference between the length and breadth of a rectangle is 23 m and its perimeter is 246 m , what is its area ? 
Options: a ) 2510 , b ) 3650 , c ) 2530 , d ) 2515 , e ) 2520
Output: b
Problem: 63 small identical cubes are used to form a large cube . how many more cubes are needed to add one top layer of small cube all over the surface of the large cube ? 
Options: a ) 64 , b ) 128 , c ) 152 , d ) 216 , e ) 153
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 100,000 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: d
Problem: the floor of a rectangular room is 21 m long and 12 m wide . the room is surrounded by a veranda of width 2 m on all its sides . the area of the veranda is : 
Options: a ) 124 m 2 , b ) 128 m 2 , c ) 138 m 2 , d ) 148 m 2 , e ) none of these
Output: d
Problem: the diagonals of a rhombus are 14 cm and 18 cm . find its area ? 
Options: a ) 176 , b ) 190 , c ) 150 , d ) 126 , e ) 292
Output: d
Problem: the ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 4800 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: 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 210 sq . feet , how many feet of fencing will be required ? 
Options: a ) 34 , b ) 41 , c ) 68 , d ) 88 , e ) none
Output: b
Problem: the mass of 1 cubic meter of a substance is 300 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 ) 1.33', 'b ) 1.25', 'c ) 8.0', 'd ) 12.5', 'e ) 80.0']
Output: a
Problem: carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 15 inches by 20 inches and jordan ' s rectangle is 6 inches long , how wide is jordan ' s rectangle , in inches ? 
Options: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 60
Output: d
Problem: how many odd numbers between 10 and 2000 are the squares of integers ? 
Options: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20
Output: e
Problem: all the faces of a cube are painted with blue colour . then it is cut into 125 small equal cubes . how many small cubes will be formed having only one face coloured ? 
Options: a ) 54 , b ) 8 , c ) 16 , d ) 24 , e ) 34
Output: a
Problem: in measuring the sides of a rectangle , one side is taken 20 % in excess and the other 10 % in deficit . find the error per cent in area calculated from the measurement ? 
Options: ['a ) 12 % deficit', 'b ) 10 % excess', 'c ) 8 % excess', 'd ) 9 % excess', 'e ) none of these']
Output: c
Problem: what is the measure of the radius of the circle inscribed in a triangle whose sides measure 8 , 15 and 27 units ? 
Options: a ) 8.5 units , b ) 6 units , c ) 3 units , d ) 5 units , e ) 2 units
Output: e
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 . 54 ? 
Options: a ) 3672 , b ) 920 , c ) 7290 , d ) 6928 , e ) 3729
Output: a
Problem: a metallic sheet is of rectangular shape with dimensions 40 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 8 m , the volume of the box ( in m cube ) is : 
Options: ['a ) 3220 m cube', 'b ) 4140 m cube', 'c ) 2688 m cube', 'd ) 4000 m cube', 'e ) none of these']
Output: c
Problem: a 3 by 4 rectangle is inscribed in circle . what is the circumference of the circle ? 
Options: a ) 2.5 π , b ) 3 π , c ) 5 π , d ) 4 π , e ) 10 π
Output: c
Problem: the ratio between the length and the breadth of a rectangular plot is 7 : 5 . if the perimeter of the plot is 288 metres , what is its area ? 
Options: ['a ) 1320 sq . metres', 'b ) 3260 sq . metres', 'c ) 4280 sq . metres', 'd ) 5040 sq . metres', 'e ) none of these']
Output: d
Problem: if abc is a quarter circle and a smaller circle is inscribed in it ; if radius of quarter circle is 1.414 units . find the radius of smaller circle 
Options: ['a ) 0.586', 'b ) 0.687', 'c ) 0.784', 'd ) 0.874', 'e ) 0.974']
Output: a
Problem: the side of a square has the length of 6 . what is the area of the region shaded ? 
Options: ['a ) 48 - 8 π', 'b ) 48 - 6 π', 'c ) 24 + 6 π', 'd ) 16 + 8 π', 'e ) 64 - 8 π']
Output: b
Problem: a rectangular grass field is 75 m * 40 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 . 1327', 'c ) s . 1200', 'd ) s . 1397', 'e ) s . 1927']
Output: c
Problem: the area of the floor of a room is 20 m 2 that of a longer wall 15 m 2 and of the shorter wall 12 m 2 , find the edge of the new cube ? 
Options: ['a ) 450 m 3', 'b ) 100 m 2', 'c ) 60 m 3', 'd ) 400 m 3', 'e ) 500 m 3']
Output: c
Problem: if a rectangle have length 16 cm and diagonal 20 cm . calculate its area . 
Options: ['a ) 185', 'b ) 132', 'c ) 165', 'd ) 192', 'e ) 212']
Output: d
Problem: a cube is painted red on all faces . it is then cut into 27 equal smaller cubes . how many l cubes are painted on only 2 faces ? 
Options: a ) 12 , b ) 8 , c ) 6 , d ) 10 , e ) 16
Output: a
Problem: a rectangular paper when folded into two congruent parts had a perimeter of 34 cm foer each part folded along one set of sides and the same is 38 cm . when folded along the other set of sides . what is the area of the paper ? 
Options: ['a ) 140', 'b ) 388', 'c ) 238', 'd ) 119', 'e ) 112']
Output: a
Problem: if the radius of a circle is decreased 10 % , what happens to the area ? 
Options: a ) 10 % decrease , b ) 19 % decrease , c ) 36 % decrease , d ) 40 % decrease , e ) 50 % decrease
Output: b
Problem: 34 . the side surface of a cylinder is rolled with a rectangular plate . if the perimeter of the circular base is 6 feet , and the diagonal of the rectangular plate was 10 ft . what is height of the of the cylinder ? 
Options: a ) 7 , b ) 10 , c ) 8 , d ) 12 , e ) 15
Output: c
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 . 4 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 ) 4000 , b ) 3624 , c ) 5673 , d ) 4530 , e ) 4566
Output: b
Problem: 36 people { a 1 , a 2 , . . . , a 36 } meet and shake hands in a circular fashion . in other words , there are totally 36 handshakes involving the pairs , { a 1 , a 2 } , { a 2 , a 3 } , . . . , { a 35 , a 36 } , { a 36 , a 1 } . then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is 
Options: ['a ) 11', 'b ) 12', 'c ) 13', 'd ) 15', 'e ) 18']
Output: b
Problem: the area of a rectangular field is equal to 800 square meters . its perimeter is equal to 120 meters . find the width of this rectangle . 
Options: a ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) 25
Output: d
Problem: what is the maximum number r of 27 cubic centimetre cubes that can fit in a rectangular box measuring 8 centimetre x 9 centimetre x 12 centimetre ? 
Options: ['a ) 36', 'b ) 32', 'c ) 24', 'd ) 21', 'e ) 15']
Output: c
Problem: on the xy - coordinate plane , point a lies on the y - axis and point b lies on the x - axis . points a , b , and c form a right triangle with a 90 - degree angle at point c and the triangle has an area of 20 . if ac is parallel to the x - axis , and bc is parallel to the y - axis , which of the following could be the coordinates of point c ? 
Options: ['a ) ( 8 , - 3 )', 'b ) ( 4 , 5 )', 'c ) ( - 5 , 7 )', 'd ) ( - 2 , - 20 )', 'e ) ( - 15 , - 3 )']
Output: d
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 2 inches tall . how tall are the sculpture andbase together ? 
Options: a ) 3.1 feet , b ) 3.2 feet , c ) 3.3 feet , d ) 3.0 feet , e ) 3.5 feet
Output: d
Problem: find the circumference and area of radius 11 cm . 
Options: a ) 124 cm ² , b ) 144 cm ² , c ) 380 cm ² , d ) 284 cm ² , e ) 394 cm ²
Output: c
Problem: a box measuring 49 inches long by 42 inches wide by 14 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 ) 78 , b ) 82 , c ) 84 , d ) 86 , e ) 88
Output: c
Problem: the area of sector of a circle whose radius is 12 metro and whose angle at the center is 38 ° is ? 
Options: a ) 30 m 2 , b ) 40 m 2 , c ) 47.7 m 2 , d ) 50 m 2 , e ) 55 m 2
Output: c
Problem: the radius of a cylindrical vessel is 9 cm and height is 3 cm . find the whole surface of the cylinder ? 
Options: a ) 308 sq cm , b ) 220 sq cm , c ) 440 sq cm , d ) 132 sq cm , e ) 678.8 sq cm
Output: e
Problem: if each edge of a cube is increased by 50 % , find the percentage increase in its surface area 
Options: ['a ) 125 %', 'b ) 129 %', 'c ) 185 %', 'd ) 725 %', 'e ) 145 %']
Output: a
Problem: the weight of a hollow sphere is directly dependent on its surface area . the surface area of a sphere is 4 π · r ^ 2 , where r is the radius of the sphere . if a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams , a hollow sphere of radius 0.3 cm made of the same metal would weigh how many q grams ? 
Options: ['a ) q = 16', 'b ) q = 32', 'c ) 64', 'd ) 128', 'e ) 512']
Output: b
Problem: a rectangular tank needs to be coated with insulation . the tank has dimensions of 3 feet , 6 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 ) $ 980', 'b ) $ 1060', 'c ) $ 1220', 'd ) $ 1440', 'e ) $ 1650']
Output: d
Problem: what will be the percentage increase in the area of the cube ' s surface if each of the cube ' s edges grows by 60 % ? 
Options: a ) 150 % , b ) 160 % , c ) 156 % , d ) 158 % , e ) 162 %
Output: c
Problem: if the area of a square with sides of length 8 centimeters is equal to the area of a rectangle with a width of 4 centimeters , what is the length of the rectangle , in centimeters ? 
Options: a ) 4 , b ) 8 , c ) 12 , d ) 16 , e ) 18
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 7 m , the volume of the box ( in m 3 ) is : 
Options: a ) 4830 , b ) 5236 , c ) 6420 , d ) 8960 , e ) 7960
Output: b
Problem: the breath of a rectangle is three - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 2025 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the length is 10 units ? 
Options: ['a ) 370 sq . units', 'b ) 270 sq . units', 'c ) 170 sq . units', 'd ) 470 sq . units', 'e ) 570 sq . units']
Output: b
Problem: an error 2 % in excess ismade while measuring the side ofa square . the % of error in the calculated area of the square is ? 
Options: ['a ) 4.00 %', 'b ) 4.04 %', 'c ) 4.16 %', 'd ) 4.30 %', 'e ) 5 %']
Output: b
Problem: what is the smallest positive integer that can be multiplied by 1,008 to make it a perfect square ? 
Options: ['a ) 2', 'b ) 3', 'c ) 5', 'd ) 7', 'e ) 11']
Output: d
Problem: the ratio of males to females in a class is 2 : 3 . the career preferences of the students in the class are represented in a circle graph . if the area of the graph allocated to each career preference is proportional to the number of students who have that career preference , how many degrees of the circle should be used to represent a career that is preferred by one - fourth of the males and one - half of the females in the class ? 
Options: ['a ) 128', 'b ) 136', 'c ) 144', 'd ) 152', 'e ) 160']
Output: c
Problem: in may , the groundskeeper at spring lake golf club built a circular green with an area of 80 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 ) 160 π , b ) 320 π , c ) 400 π , d ) 540 π , e ) 640 π
Output: b
Problem: the area of a circular field is 17.56 hectares . find the cost of fencing it at the rate of rs . 6 per metre approximately 
Options: a ) 4457 , b ) 4567 , c ) 4235 , d ) 4547 , e ) 8915
Output: e
Problem: if the sum of a number and its square is 72 , what is the number ? 
Options: a ) 15 , b ) 26 , c ) 8 , d ) 91 , e ) none of these
Output: c
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 3025 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ? 
Options: a ) 140 , b ) 150 , c ) 160 , d ) 170 , e ) 220
Output: e
Problem: if the sides of a triangle are 32 cm , 27 cm and 12 cm , what is its area ? 
Options: a ) 120 cm 2 , b ) 112 cm 2 , c ) 162 cm 2 , d ) 666 cm 2 , e ) 886 cm 2
Output: c
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 . 60 ? 
Options: a ) s . 3944 , b ) s . 3948 , c ) s . 4080 , d ) s . 3965 , e ) s . 3929
Output: c
Problem: the length of a rectangle is one - fourth of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 1225 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ? 
Options: ['a ) 350 sq . units', 'b ) 250 sq . units', 'c ) 300 sq . units', 'd ) 200 sq . units', 'e ) 100 sq . units']
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 5 m , the volume of the box ( in m 3 ) is : 
Options: a ) 4940 , b ) 5120 , c ) 6420 , d ) 8960 , e ) 7960
Output: a
Problem: the length of a rectangle is reduced by 10 % . by what % would the width have to be increased to maintain the original area ? 
Options: a ) 10 % , b ) 11.1 % , c ) 25 % , d ) 30 % , e ) 35 %
Output: b
Problem: the area of a triangle is with base 4.5 m and height 6 m ? 
Options: a ) 11 m 2 , b ) 10 m 2 , c ) 13.5 m 2 , d ) 19 m 2 , e ) 12.5 m 2
Output: c
Problem: a rectangular floor is covered by a rug except for a strip 3 meters wide along each of the four edge . if the floor is 12 meters by 10 meters , what is the area of the rug in square meters ? 
Options: a ) 30 , b ) 28 , c ) 36 , d ) 42 , e ) 24
Output: e
Problem: the area of a rectangular field is equal to 200 square meters . its perimeter is equal to 60 meters . find the width of this rectangle . 
Options: a ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) 25
Output: b
Problem: a man walked diagonally across a square lot . approximately , what was the percent saved by not walking along the edges ? 
Options: ['a ) 20 %', 'b ) 30 %', 'c ) 40 %', 'd ) 50 %', 'e ) 55 %']
Output: b
Problem: the length of a rectangular garden is three times its width . if the area of the rectangular garden is 588 square meters , then what is the width of the rectangular garden ? 
Options: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16
Output: c
Problem: the ratio of the radius of two circles is 1 : 5 , and then the ratio of their areas is ? 
Options: a ) 1 : 7 , b ) 2 : 9 , c ) 1 : 25 , d ) 3 : 7 , e ) 3 : 4
Output: c
Problem: a full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet . oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck ' s tank is completely filled . if the truck ' s tank has a radius of 8 feet and a height of 10 feet , how far ( in feet ) did the oil level drop in the stationary tank ? 
Options: a ) 0.008 , b ) 0.08 , c ) 0.064 , d ) 0.64 , e ) 6.4
Output: c
Problem: a cone of height 9 cm with diameter of its base 18 cm is carved out from a wooden solid sphere of radius 9 cm . the percentage of the wood wasted is : 
Options: ['a ) 45 %', 'b ) 56 %', 'c ) 67 %', 'd ) 75 %', 'e ) none of these']
Output: d
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 . 2 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 . 1812 , c ) s . 4527 , d ) s . 4530 , e ) s . 4521
Output: b
Problem: the number 46 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 ) 10 , e ) 13
Output: d
Problem: the area of rectangular field is 460 square metres . if the length is 15 per cent more than the breadth , what is the breadth of the rectangular field ? 
Options: ['a ) 15 metres', 'b ) 26 metres', 'c ) 34.5 metres', 'd ) can not be determined', 'e ) none of these']
Output: e
Problem: a solid metallic spherical ball of diameter 6 cm is melted and recast into a cone with diameter of the base as 12 cm . the height of the cone is : 
Options: ['a ) 8 cm', 'b ) 6 cm', 'c ) 4 cm', 'd ) 3 cm', 'e ) none']
Output: d
Problem: the area of sector of a circle whose radius is 12 metro and whose angle at the center is 40 ° is ? 
Options: a ) 53 m 2 , b ) 51 m 2 , c ) 50.2 m 2 , d ) 45 m 2 , e ) 40 m 2
Output: c
Problem: two identical circles intersect such that their centers and the points at which they intersect form a square of side 4 cm . what is the area of the region where the two circles intersect ? 
Options: ['a ) 16 - 4 pi', 'b ) 4 - pi', 'c ) 2 pi - 4', 'd ) 8 pi - 16', 'e ) pi ^ 2 - 4']
Output: d
Problem: a box measuring 35 inches long by 20 inches wide by 10 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 ) 56 , e ) 864
Output: d
Problem: what is the area of a square field whose diagonal of length 26 m ? 
Options: a ) 287 , b ) 269 , c ) 338 , d ) 200 , e ) 230
Output: c
Problem: the cost of the paint is rs . 36.50 per kg . if 1 kg of paint covers 16 sq . ft , how much will it cost to paint outside of a cube having 8 feet each side 
Options: a ) rs . 962 , b ) rs . 672 , c ) rs . 546 , d ) rs . 876 , e ) none of these
Output: d
Problem: the area of a circular field is 17.56 hectares . find the cost of fencing it at the rate of rs . 2 per metre approximately 
Options: a ) 2972 , b ) 4567 , c ) 4235 , d ) 4547 , e ) 4675
Output: a
Problem: a and b are two circles . the radius of a is 5 times as large as the radius of b . what is the ratio between the areas of the circles ? 
Options: ['a ) 1 : 8 .', 'b ) 1 : 2 .', 'c ) 1 : 4 .', 'd ) 1 : 25 .', 'e ) 1 : 6 .']
Output: d
Problem: a parallelogram has a base that is four time the size of it ' s height . the total area of this parallelogram is 2,304 sq ft . what is the height of the parallelogram ? 
Options: ['a ) 19', 'b ) 23', 'c ) 24', 'd ) 16', 'e ) 17']
Output: c
Problem: if the sum of a number and its square is 132 , then what is the number ? 
Options: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14
Output: b