niryuu/sni-each-converted huggingface dataset:
Problem: the length of a rectangle hall is 5 m more than its breadth . the area of the hall is 750 m 2 . the length of the hall is : 
Options: ['a ) 15 m', 'b ) 22.5 m', 'c ) 25 m', 'd ) 30 m', 'e ) none of these']
Output: d
Problem: the ratio of the volumes of two cubes is 343 : 512 . what is the ratio of their total surface areas ? 
Options: a ) 12 : 24 , b ) 8 : 16 , c ) 45 : 25 , d ) 18 : 56 , e ) 49 : 64
Output: e
Problem: we have a rectangular metallic piece of paper that covers exactly the area of a cube . the length of the piece of paper is 120 inches and the width is 108 inches . what is the volume of the cube in cubic feet is 1 feet is 12 inches ? 
Options: ['a ) a 125', 'b ) b 120', 'c ) c 70', 'd ) d 40', 'e ) e 10']
Output: a
Problem: find the circumference and area of radius 8 cm . 
Options: a ) 124 cm ² , b ) 201 cm ² , c ) 210 cm ² , d ) 184 cm ² , e ) 194 cm ²
Output: b
Problem: the diagonals of a rhombus are 13 cm and 20 cm . find its area ? 
Options: a ) 176 , b ) 130 , c ) 150 , d ) 179 , e ) 172
Output: b
Problem: if the area of a square with sides of length 9 centimeters is equal to the area of a rectangle with a width of 3 centimeters , what is the length of the rectangle , in centimeters ? 
Options: ['a ) 4', 'b ) 27', 'c ) 12', 'd ) 16', 'e ) 18']
Output: b
Problem: if a rectangular billboard has an area of 104 square feet and a perimeter of 42 feet , what is the length of each of the longer sides ? 
Options: a ) 4 , b ) 7 , c ) 8 , d ) 13 , e ) 26
Output: d
Problem: the ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm . find the ratio of the breadth and the area of the rectangle ? 
Options: ['a ) 1 : 96', 'b ) 1 : 99', 'c ) 1 : 95', 'd ) 1 : 12', 'e ) 1 : 11']
Output: a
Problem: an error 2 % in excess is made while measuring the side ofa square . the % of error in the calculated area of the square is ? 
Options: ['a ) 4 %', 'b ) 4.04 %', 'c ) 4.23 %', 'd ) 4.56 %', 'e ) 5 %']
Output: b
Problem: a circular well with a diameter of 2 metres , is dug to a depth of 10 metres . what is the volume of the earth dug out ? 
Options: a ) 32 m 3 , b ) 31.4 m 3 , c ) 40 m 3 , d ) 44 m 3 , e ) none
Output: b
Problem: the volume of the greatest sphere that can be cut off from a cylindrical log of wood of base radius 1 cm and height 5 cm is : 
Options: ['a ) 3 / 4 ∏', 'b ) 4 / 3 ∏', 'c ) 5 ∏', 'd ) 5 / 9 ∏', 'e ) none']
Output: b
Problem: in a rectangular coordinate system , what is the area of a quadrilateral whose vertices have the coordinates ( 2 , - 2 ) , ( 2 , 6 ) , ( 14 , 2 ) , ( 14 , - 5 ) ? 
Options: a ) 90 , b ) 95 , c ) 104 , d ) 117 , e ) 182
Output: a
Problem: in measuring the sides of a rectangle , one side is taken 8 % in excess , and the other 7 % in deficit . find the error percent in the area calculated from these measurements . 
Options: a ) 0.11 % , b ) 0.7 % , c ) 0.44 % , d ) 0.6 % , e ) 0.8 %
Output: c
Problem: a rectangular photograph is surrounded by a border that is 3 inch wide on each side . the total area of the photograph and the border is m square inches . if the border had been 6 inches wide on each side , the total area would have been ( m + 178 ) square inches . what is the perimeter of the photograph , in inches ? 
Options: a ) 34 , b ) 36 , c ) 38 , d ) 40 , e ) 20
Output: e
Problem: the length of a rectangle is two - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 1225 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ? 
Options: ['a ) 140 sq . units', 'b ) 158 sq . units', 'c ) 187 sq . units', 'd ) 607 sq . units', 'e ) 815 sq . units']
Output: a
Problem: four equal circles are described about the four corners of a square so that each touches two of the others . if a side of the square is 14 cm , then the area enclosed between the circumferences of the circles is : 
Options: ['a ) 24 cm 2', 'b ) 42 cm 2', 'c ) 154 cm 2', 'd ) 196 cm 2', 'e ) none of these']
Output: b
Problem: the diagonals of a rhombus are 20 cm and 25 cm . find its area ? 
Options: a ) 158 , b ) 129 , c ) 250 , d ) 123 , e ) 117
Output: c
Problem: a rectangular lawn of length 200 m by 120 m has two roads running along its center , one along the length and the other along the width . if the width of the roads is 5 m what is the area t covered by the two roads ? 
Options: a ) 400 , b ) 1550 , c ) 1575 , d ) 1600 , e ) 1625
Output: c
Problem: the length of rectangle is thrice its breadth and its perimeter is 88 m , find the area of the rectangle ? 
Options: ['a ) 432 sq m', 'b ) 363 sq m', 'c ) 452 sq m', 'd ) 428 sq m', 'e ) 525 sq m']
Output: b
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 6 feet and a height of 10 feet , how far ( in feet ) did the oil level drop in the stationary tank ? 
Options: a ) 0.036 , b ) 0.36 , c ) 0.6 , d ) 6 , e ) 3.6
Output: a
Problem: the perimeter of a triangle is 24 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ? 
Options: a ) 30 cm 2 , b ) 85 cm 2 , c ) 65 cm 2 , d ) 45 cm 2 , e ) 35 cm 2
Output: a
Problem: the diagonal of a rectangle is 41 cm and its area is 20 sq . cm . the perimeter of the rectangle must be : 
Options: ['a ) 18 cm', 'b ) 28 cm', 'c ) 30 cm', 'd ) 38 cm', 'e ) 42 cm']
Output: a
Problem: a cube of edge 5 cm is immersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 10 cm * 5 cm , find the rise in water level ? 
Options: a ) 2.5 cm , b ) 3.6 cm , c ) 5 cm , d ) 6.43 cm , e ) 7.56 cm
Output: a
Problem: three interviewers , a , b , and c are interviewing 50 applicants . only with three interviewers ' admission can an applicant be admitted . if interviewer a admitted 20 applicants , b admitted 22 applicants , and c admitted 20 applicants , at least how many applicants get the admission ? 
Options: a ) 4 , b ) 0 , c ) 6 , d ) 8 , e ) 12
Output: b
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 50,000 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: a cube is painted such that one pair of surfaces is painted brown and the other pair of surfaces is painted orange . the cube is cut in to 64 small cubes of equal size . find how many cubes have both the color brown and orange ? 
Options: ['a ) 22', 'b ) 16', 'c ) 11', 'd ) 12', 'e ) 10']
Output: b
Problem: the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 10 cm each . the radius of the sphere is 
Options: a ) 3 cm , b ) 5 cm , c ) 6 cm , d ) 8 cm , e ) none
Output: b
Problem: three rugs have a combined area of 204 square meters . by overlapping the rugs to cover floor area of 140 square meters , the area that is covered by exactly two layers of rug is 24 square meters . what is the area that is covered with three layers of rug ? 
Options: a ) 18 square meters , b ) 20 square meters , c ) 24 square meters , d ) 28 square meters , e ) 30 square meters
Output: b
Problem: the lengths of the diagonals of a rhombus are 20 and 48 meters . find the perimeter of the rhombus ? 
Options: ['a ) 150 merters', 'b ) 125 meters', 'c ) 96 meters', 'd ) 104 meters', 'e ) 152 meters']
Output: d
Problem: if the sum of a number and its square is 20 , what is the number ? 
Options: a ) 15 , b ) 26 , c ) 28 , d ) 4 , e ) none of these
Output: d
Problem: if y is the smallest positive integer such that 3,675 multiplied by y is the square of an integer , then y must be 
Options: a ) 2 , b ) 5 , c ) 6 , d ) 7 , e ) 12
Output: e
Problem: if the sides of a triangle are 39 cm , 32 cm and 10 cm , what is its area ? 
Options: a ) 120 , b ) 772 , c ) 288 , d ) 160 , e ) 2848
Output: d
Problem: the volumes of two cones are in the ratio 1 : 15 and the radii of the cones are in the ratio of 1 : 2 . what is the length of the wire ? 
Options: a ) 3 : 5 , b ) 3 : 9 , c ) 3 : 2 , d ) 2 : 2 , e ) 3 : 8
Output: a
Problem: what is the area of square field whose side of length 25 m ? 
Options: a ) 225 sq m , b ) 186 sq m , c ) 586 sq m , d ) 287 sq m , e ) 625 sq m
Output: e
Problem: a rectangular circuit board is designed to have a width of w inches , a length of l inches , a perimeter of p inches , and an area of c square inches . which of the following equations must be true ? 
Options: ['a ) 2 w ^ 2 + pw + 2 c = 0', 'b ) 2 w ^ 2 − pw + 2 c = 0', 'c ) 2 w ^ 2 − pw − 2 c = 0', 'd ) w ^ 2 + pw + c = 0', 'e ) w ^ 2 − pw + 2 c = 0']
Output: b
Problem: what will be the cost of house to paint which area equal to 484 sq ft , if the price per foot of building is rs . 20 
Options: a ) 1800 , b ) 1760 , c ) 1400 , d ) 2600 , e ) 3600
Output: b
Problem: area of a square is 1 / 2 hectare . the diagonal of the square is ? 
Options: ['a ) 250 meter', 'b ) 100 meter', 'c ) 50 √ 2 meter', 'd ) 50 meter', 'e ) 35 meter']
Output: b
Problem: a semicircle is drawn with ab as its diameter . from c , a point on ab , a line perpendicular to ab is drawn , meeting the circumference of the semicircle at d . given that ac = 2 cm and cd = 6 cm , the area of the semicircle in square cm will be ? 
Options: ['a ) 30 pi', 'b ) 40 pi', 'c ) 50 pi', 'd ) 60 pi', 'e ) 70 pi']
Output: c
Problem: in may , the groundskeeper at spring lake golf club built a circular green with an area of 65 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 ) 105 π , b ) 130 π , c ) 200 π , d ) 260 π , e ) 320 π
Output: d
Problem: a volume of 10976 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 ) 2744 , e ) 4254
Output: d
Problem: from a square piece of a paper having each side equal to 10 cm , the largest possible circle is being cut out . the ratio of the area of the circle to the area of the original square is nearly : 
Options: ['a ) 4 ⁄ 5', 'b ) 3 ⁄ 5', 'c ) 5 ⁄ 6', 'd ) 6 ⁄ 7', 'e ) none of these']
Output: a
Problem: huey ' s hip pizza sells two sizes of square pizzas : a small pizza that measures 9 inches on a side and costs $ 10 , and a large pizza that measures 14 inches on a side and costs $ 20 . if two friends go to huey ' s with $ 30 apiece , how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone ? 
Options: ['a ) 5 square inches', 'b ) 10 square inches', 'c ) 15 square inches', 'd ) 25 square inches', 'e ) 34 square inches']
Output: e
Problem: find the number of divisors of 1080 excluding the divisors which are perfect squares . 
Options: a ) 28 , b ) 29 , c ) 30 , d ) 31 , e ) 32
Output: a
Problem: the mass of 1 cubic meter of a substance is 300 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 ) 3.33 , b ) 3.34 , c ) 3.53 , d ) 5.32 , e ) 3.92
Output: a
Problem: mr . loyd wants to fence his square shaped land of 120 sqft each side . if a pole is laid every 10 ft how many poles do he need ? 
Options: a ) 20 , b ) 30 , c ) 48 , d ) 50 , e ) 60
Output: c
Problem: if the sides of a triangle are 36 cm , 34 cm and 20 cm , what is its area ? 
Options: a ) 320 cm 2 , b ) 360 cm 2 , c ) 340 cm 2 , d ) 310 cm 2 , e ) 300 cm 2
Output: c
Problem: what no should be subtracted from 92555 to make it a perfect square ? 
Options: ['a ) 128', 'b ) 158', 'c ) 178', 'd ) 139', 'e ) 140']
Output: d
Problem: the perimeter of one square is 44 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 ) 13 √ 4 , b ) 12.1 √ 2 , c ) 23 √ 2 , d ) 12 √ 4 , e ) 13 √ 9
Output: b
Problem: the edge of a cube is 3 a cm . find its surface ? 
Options: a ) 24 a 8 , b ) 24 a 4 , c ) 24 a 1 , d ) 54 a 2 , e ) 24 a 7
Output: d
Problem: one side of a rectangle is 3 cm shorter than the other side . if we increase the length of each side by 1 cm , then the area of the rectangle will increase by 22 cm 2 . find the lengths of all sides . 
Options: a ) 10 and 3 , b ) 7 and 10 , c ) 10 and 7 , d ) 3 and 10 , e ) 12 and 9
Output: e
Problem: calculate the effect changes in dimension of a rectangle will have on its area , if length is increased by 18 % and its breadth is decreased by 16 % ? 
Options: a ) 5.88 % decrease , b ) 0.88 % decrease , c ) 0.88 % increase , d ) 1.88 % decrease , e ) 2.88 % decrease
Output: b
Problem: the volume of a cube is 1728 cc . find its surface ? 
Options: ['a ) 864', 'b ) 209', 'c ) 278', 'd ) 276', 'e ) 280']
Output: a
Problem: the number 130 can be written as the sum of the squares of 2 different positive integers . what is the sum of these 2 integers ? 
Options: a ) 17 , b ) 16 , c ) 15 , d ) 14 , e ) 13
Output: d
Problem: the area of sector of a circle whose radius is 10 metro and whose angle at the center is 42 â ° is ? 
Options: a ) 36.7 , b ) 52.9 , c ) 52.8 , d ) 52.1 , e ) 52.2
Output: a
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 three faces are coloured ? 
Options: ['a ) 4', 'b ) 8', 'c ) 16', 'd ) 24', 'e ) 2']
Output: b
Problem: find the area of a parallelogram with base 18 cm and height 16 cm ? 
Options: a ) 423 cm 2 , b ) 122 cm 2 , c ) 420 cm 2 , d ) 251 cm 2 , e ) 288 cm 2
Output: e
Problem: how many books each of volume 100 meter cube can be packed into a crate of volume 3000 meter cube ? 
Options: a ) 50 , b ) can not be determined , c ) 150 , d ) 300 , e ) 350
Output: b
Problem: rain is falling at a rate of 3 centimeters per hour all over springfield . somewhere downtown in springfield a group of pigeons is waiting for the rain to stop . if the rain filled a round puddle the with a base area of 350 square centimeters and a depth of 13.5 centimeters , how long did the pigeons wait for the rain to stop ? 
Options: ['a ) 3 hours and 12 minutes .', 'b ) four hours and 30 minutes', 'c ) four hours and 45 minutes', 'd ) five hours and 10 minutes', 'e ) five hours and 30 minutes']
Output: b
Problem: how many odd numbers between 10 and 900 are the squares of integers ? 
Options: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16
Output: b
Problem: the radius of a cylindrical vessel is 7 cm and height is 1 cm . find the whole surface of the cylinder ? 
Options: a ) 352 , b ) 771 , c ) 440 , d ) 767 , e ) 1981
Output: a
Problem: a squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 3 feet . how many feet does the squirrel travels if the post is 18 feet tall and 3 feet in circumference ? 
Options: a ) 10 feet , b ) 12 feet , c ) 13 feet , d ) 15 feet , e ) 18 feet
Output: e
Problem: the slant height of a cone is 14 cm and radius of the base is 12 cm , find the curved surface of the cone . 
Options: a ) 150 , b ) 170 , c ) 48 , d ) 528 , e ) 600
Output: d
Problem: the radius of a cone is 14 m , slant height is 20 m . find the curved surface area ? 
Options: a ) 770 , b ) 550 , c ) 110 , d ) 880 , e ) 330
Output: d
Problem: there are 7 non - collinear points . how many triangles can be drawn by joining these points ? 
Options: a ) 22 , b ) 38 , c ) 35 , d ) 29 , e ) 18
Output: c
Problem: if the radius of a circle is increased by 50 % then the area is increased by : 
Options: a ) 44 % , b ) 125 % , c ) 144 % , d ) 40 % , e ) none of the above
Output: b
Problem: in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 4.5 ) , ( 8 , 0 ) , ( 0 , - 4.5 ) , ( - 8 , 0 ) ? 
Options: a ) 56 , b ) 72 , c ) 112 , d ) 116 , e ) 120
Output: b
Problem: the ratio of the radius of two circles is 1 : 4 , and then the ratio of their areas is ? 
Options: a ) 1 : 16 , b ) 1 : 6 , c ) 1 : 9 , d ) 1 : 3 , e ) 1 : 2
Output: a
Problem: the volumes of two cones are in the ratio 1 : 35 and the radii of the cones are in the ratio of 1 : 2 . what is the length of the wire ? 
Options: a ) 7 : 5 , b ) 2 : 9 , c ) 7 : 2 , d ) 2 : 2 , e ) 2 : 8
Output: a
Problem: find the area of a parallelogram with base 22 cm and height 21 cm ? 
Options: a ) 462 cm 2 , b ) 478 cm 2 , c ) 490 cm 2 , d ) 268 cm 2 , e ) 668 cm 2
Output: a
Problem: if the area of a circle is 64 pi square feet , find its circumference . 
Options: a ) 65 pi feet , b ) 43 pi feet , c ) 42 pi feet , d ) 18 pi feet , e ) 16 pi feet
Output: e
Problem: triangle xyz is an isosceles right triangle . if side xy is longer than side yz , and the area of the triangle is 49 , what is the measure of side xy ? 
Options: ['a ) 4', 'b ) 4 √ 2', 'c ) 14', 'd ) 8 √ 2', 'e ) can not be determined from the information provided']
Output: c
Problem: the length of a rectangle is reduced by 22 % . by what % would the width have to be increased to maintain the original area ? 
Options: a ) 14 % , b ) 15 % , c ) 28 % , d ) 30 % , e ) 35 %
Output: c
Problem: the perimeter of a square is equal to the perimeter of a rectangle of length 20 cm and breadth 14 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) 
Options: a ) 23.57 , b ) 25.54 , c ) 26.5 , d ) 26.55 , e ) 26.71
Output: e
Problem: if two sides of a triangle have lengths 3 and 8 , which of the following could be the perimeter of the triangle ? i . 9 ii . 15 iii . 19 
Options: ['a ) none', 'b ) i only', 'c ) ii only', 'd ) iii only', 'e ) i , ii , and iii']
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 . what is the length of the rectangle 
Options: a ) 18 cm , b ) 16 cm , c ) 40 cm , d ) 20 cm , e ) 28 cm
Output: c
Problem: how many odd numbers between 10 and 1,100 are the squares of integers ? 
Options: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16
Output: d
Problem: here is 15 dots . if you select 3 dots randomly , what is the probability that 3 dots make a triangle ? 
Options: a ) 440 / 455 , b ) 412 / 455 , c ) 434 / 455 , d ) 449 / 455 , e ) 438 / 455
Output: b
Problem: the least perfect square , which is divisible by each of 21,36 and 66 is 
Options: ['a ) 213444', 'b ) 214344', 'c ) 214434', 'd ) 213443', 'e ) none of these']
Output: a
Problem: rectangle a has sides a and b , and rectangle b has sides c and d . if a / c = b / d = 2 / 5 , what is the ratio of rectangle a ’ s area to rectangle b ’ s area ? 
Options: a ) 2 / 5 , b ) 2 / 25 , c ) 5 / 2 , d ) 5 / 4 , e ) 4 / 25
Output: e
Problem: the radius of a cylinder is 10 m , height 12 m . the volume of the cylinder is : 
Options: a ) 2200 , b ) 5500 , c ) 3300 , d ) 3771.4 , e ) 4400
Output: d
Problem: in triangle pqr , the angle q = 90 degree , pq = 5 cm , qr = 8 cm . x is a variable point on pq . the line through x parallel to qr , intersects pr at y and the line through y , parallel to pq , intersects qr at z . find the least possible length of xz 
Options: a ) 3.6 cm , b ) 2.4 cm , c ) 4.0 cm , d ) 2.16 cm , e ) 3.2 cm
Output: c
Problem: the diagonal of a rectangle is √ 41 cm and its area is 20 sq . cm . the perimeter of the rectangle must be : 
Options: ['a ) 18', 'b ) 28', 'c ) 38', 'd ) 48', 'e ) 58']
Output: a
Problem: if the sides of a triangle are 30 cm , 40 cm and 50 cm , what is its area ? 
Options: a ) 400 , b ) 500 , c ) 550 , d ) 600 , e ) 700
Output: d
Problem: in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 3.5 ) , ( 11 , 0 ) , ( 0 , - 3.5 ) , ( - 11 , 0 ) ? 
Options: a ) 56 , b ) 77 , c ) 112 , d ) 116 , e ) 120
Output: b
Problem: an equilateral triangle t 2 is formed by joining the mid points of the sides of another equilateral triangle t 1 . a third equilateral triangle t 3 is formed by joining the mid - points of t 2 and this process is continued indefinitely . if each side of t 1 is 50 cm , find the sum of the perimeters of all the triangles . 
Options: a ) 180 cm , b ) 220 cm , c ) 240 cm , d ) 270 cm , e ) 300 cm
Output: e
Problem: the length of the rectangular field is double its width . inside the field there is square shaped pond 8 m long . if the area of the pond is 1 / 2 of the area of the field . what is the length of the field ? 
Options: a ) 13 , b ) 16 , c ) 34 , d ) 43 , e ) 42
Output: b
Problem: rectangular tile each of size 70 cm by 30 cm must be laid horizontally on a rectangular floor of size 110 cm by 130 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 ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Output: b
Problem: the measure of the side of a square is multiplied by 6 . if x represents the perimeter of the original square , what is the value of the new perimeter ? 
Options: a ) 3 x , b ) 4 x , c ) 6 x , d ) 12 x , e ) 27 x
Output: c
Problem: a rectangular cube has sides measuring 3 inches long by 2 inches wide by 0.5 inches high . if the surface area of the rectangle is the same as a cube , what do the sides / walls of the cube measure ? round to the nearest whole number . 
Options: ['a ) 4', 'b ) 5', 'c ) 6', 'd ) 7', 'e ) 2']
Output: e
Problem: the ratio of the volumes of two cubes is 1000 : 1331 . what is the ratio of their total surface areas ? 
Options: a ) 100 : 121 , b ) 100 : 127 , c ) 81 : 191 , d ) 81 : 161 , e ) 100 : 182
Output: a
Problem: on the xy - plane , each point on circle c has coordinates such that x 0 and y 0 . if the center of circle c is the point ( 3 ; 9 ) , what is the maximum possible area of c ? 
Options: a ) 6 , b ) 9 , c ) 24 , d ) 32 , e ) 64
Output: c
Problem: a rectangular farm has to be fenced one long side , one short side and the diagonal . if the cost of fencing is rs . 11 per meter . the area of farm is 1200 m 2 and the short side is 30 m long . how much would the job cost ? 
Options: a ) 1276 , b ) 1200 , c ) 2832 , d ) 1299 , e ) 1320
Output: e
Problem: triangle a ’ s base is 10 % greater than the base of triangle b , and a ’ s height is 10 % less than the height of triangle b . the area of triangle a is what percent less or more than the area of triangle b ? 
Options: ['a ) 9 % less', 'b ) 1 % less', 'c ) equal to each other', 'd ) 1 % more', 'e ) 9 % more']
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 . 2210 . the perimeter of the plot is ? 
Options: a ) 126 , b ) 156 , c ) 340 , d ) 321 , e ) 260
Output: c
Problem: the least perfect square , which is divisible by each of 21 , 36 and 66 is : 
Options: a ) 213444 , b ) 214344 , c ) 214434 , d ) 231444 , e ) 233444
Output: a
Problem: a cube of sides 9 is first painted red and then cut into smaller cubes of side 3 . how many of the smaller cube have painted on exactly 2 sides ? 
Options: ['a ) 30', 'b ) 24', 'c ) 12', 'd ) 8', 'e ) 9']
Output: c
Problem: the area of a triangle is with base 4 m and height 8 m ? 
Options: a ) 11 , b ) 10 , c ) 787 , d ) 16 , e ) 12
Output: d
Problem: points a , b , and , c have xy - coordinates ( 2,0 ) , ( 8,12 ) , and ( 14,0 ) , respectively . points x , y , and z have xy - coordinates ( 6,0 ) , ( 8,4 ) , and ( 10,0 ) , respectively . what fraction c of the area of triangle abc is the area of triangle xyz ? 
Options: ['a ) 1 / 9', 'b ) 1 / 8', 'c ) 1 / 6', 'd ) 1 / 5', 'e ) 1 / 3']
Output: a
Problem: find the area of the quadrilateral of one of its diagonals is 30 cm and its off sets 9 cm and 6 cm ? 
Options: a ) 225 cm 2 , b ) 150 cm 2 , c ) 127 cm 2 , d ) 177 cm 2 , e ) 187 cm 2
Output: a
Problem: the water level in a rectangular swimming pool measuring 60 feet by 20 feet is to be lowered by 6 inches . how many gallons of water must be removed ? ( 1 cu ft = 7.5 gallons ) 
Options: a ) 100 , b ) 250 , c ) 4500 , d ) 1200 , e ) 5625
Output: c
Problem: a metallic sheet is of rectangular shape with dimensions 30 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 6 m , the volume of the box ( in m cube ) is : 
Options: a ) 920 m cube , b ) 840 m cube , c ) 1000 m cube , d ) 120 m cube , e ) none of these
Output: e
Problem: huey ' s hip pizza sells two sizes of square pizzas : a small pizza that measures 12 inches on a side and costs $ 10 , and a large pizza that measures 18 inches on a side and costs $ 20 . if two friends go to huey ' s with $ 30 apiece , how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone ? 
Options: a ) 5 square inches , b ) 36 square inches , c ) 15 square inches , d ) 25 square inches , e ) 350 square inches
Output: b
Problem: in a company of 200 employees , 120 are females . a total of 100 employees have advanced degrees and the rest have a college degree only . if 40 employees are males with a college degree only , how many employees are females with advanced degrees ? 
Options: a ) 60 , b ) 70 , c ) 80 , d ) 90 , e ) 100
Output: a
Problem: a lady grows broccoli in her garden that is in the shape of a square . each broccoli takes 1 square foot of area in her garden . this year , she has increased her output by 79 broccoli when compared to last year . the shape of the area used for growing the broccoli has remained a square in both these years . how many broccoli did she produce this year ? 
Options: ['a ) 1600', 'b ) 1500', 'c ) 1650', 'd ) 1700', 'e ) can not be determined']
Output: a
Problem: the water level in a rectangular swimming pool measuring 50 feet by 25 feet is to be lowered by 6 inches . how many gallons of water must be removed ? ( 1 cu ft = 7.5 gallons ) 
Options: a ) 100 , b ) 250 , c ) 750 , d ) 1200 , e ) 4687.5
Output: e
Problem: the length of rectangle is thrice its breadth and its perimeter is 104 m , find the area of the rectangle ? 
Options: a ) 507 sq m , b ) 356 sq m , c ) 452 sq m , d ) 428 sq m , e ) 525 sq m
Output: a
Problem: if a drawing has an outer circle of diameter 30 and an inner circle of diameter 24 , then what fraction of outer circle ' s surface is not covered by the inner circle ? 
Options: ['a ) 3 / 6', 'b ) 8 / 24', 'c ) 14 / 16', 'd ) 9 / 25', 'e ) 2 / 3']
Output: d
Problem: a rectangular lawn of length 200 m by 120 m has two roads running along its center , one along the length and the other along the width . if the width of the roads is 5 m what is the area r covered by the two roads ? 
Options: a ) 400 , b ) 1550 , c ) 1575 , d ) 1600 , e ) 1625
Output: c
Problem: how many books each of volume 100 meter cube can be packed into a crate of volume 4000 meter cube ? 
Options: ['a ) 100', 'b ) 120', 'c ) can not be determined', 'd ) 180', 'e ) 200']
Output: c
Problem: three rugs have a combined area of 200 square meters . by overlapping the rugs to cover floor area of 140 square meters , the area that is covered by exactly two layers of rug is 22 square meters . what is the area that is covered with three layers of rug ? 
Options: ['a ) 18 square meters', 'b ) 20 square meters', 'c ) 24 square meters', 'd ) 19 square meters', 'e ) 30 square meters']
Output: d
Problem: in a rectangular coordinate system , what is the area of a rectangle whose vertices have the coordinates ( - 7 , 1 ) , ( 1 , 1 ) , ( 1 , - 6 ) and ( - 7 , - 6 ) ? 
Options: a ) 112 , b ) 64 , c ) 42 , d ) 24 , e ) 56
Output: e
Problem: a circular garden is surrounded by a fence of negligible width along the boundary . if the length of the fence is 1 / 8 of th area of the garden . what is the radius of the circular garden ? 
Options: ['a ) 1', 'b ) 2', 'c ) 4', 'd ) 8', 'e ) 16']
Output: e
Problem: we have a rectangular metallic piece of paper that covers exactly the area of a cube . the length of the piece of paper is 144 inches and the width is 72 inches . what is the volume of the cube in cubic feet is 1 feet is 12 inches ? 
Options: a ) a 216 , b ) b 196 , c ) c 170 , d ) d 140 , e ) e 121
Output: a
Problem: the edge of a cube is 7 a cm . find its surface ? 
Options: ['a ) 24 a 8', 'b ) 24 a 4', 'c ) 24 a 1', 'd ) 24 a 2', 'e ) 294 a 2']
Output: e
Problem: a rectangular field is to be fenced on three sides leaving a side of 30 feet uncovered . if the area of the field is 600 sq . ft , how many feet of fencing will be required ? 
Options: a ) 70 feet , b ) 52 feet , c ) 32 feet , d ) 12 feet , e ) 55 feet
Output: a
Problem: the roof of an apartment building is rectangular and its length is 3 times longer than its width . if the area of the roof is 675 feet squared , what is the difference between the length and the width of the roof ? 
Options: a ) 38 . , b ) 30 . , c ) 42 . , d ) 44 . , e ) 46 .
Output: b
Problem: points a , b , and , c have xy - coordinates ( 20 ) , ( 812 ) , and ( 140 ) , respectively . points x , y , and z have xy - coordinates ( 60 ) , ( 84 ) , and ( 100 ) , respectively . what fraction c of the area of triangle abc is the area of triangle xyz ? 
Options: a ) 1 / 9 , b ) 1 / 8 , c ) 1 / 6 , d ) 1 / 5 , e ) 1 / 3
Output: a
Problem: an artist wishes to paint a circular region on a square poster that is 3.4 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 ) 1', 'd ) 2 / sqrt ( pi )', 'e ) sqrt ( 5.78 / pi )']
Output: e
Problem: a small , rectangular park has a perimeter of 560 feet and a diagonal measurement of 600 feet . what is its area , in square feet ? 
Options: ['a ) 172,800', 'b ) 19,600', 'c ) 20,000', 'd ) 20,400', 'e ) 20,800']
Output: a
Problem: 10 business executives and 3 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ? 
Options: a ) 144 , b ) 131 , c ) 115 , d ) 90 , e ) 75
Output: e
Problem: the length of a rectangle is doubled while its width is tripled . what is the % change in area ? 
Options: ['a ) 250 %', 'b ) 300 %', 'c ) 500 %', 'd ) 650 %', 'e ) 700 %']
Output: c
Problem: three rugs have a combined area of 200 square meters . by overlapping the rugs to cover floor area of 138 square meters , the area that is covered by exactly two layers of rug is 24 square meters . what is the area that is covered with three layers of rug ? 
Options: a ) 18 square meters , b ) 19 square meters , c ) 24 square meters , d ) 28 square meters , e ) 30 square meters
Output: b
Problem: the length of a rectangle is halved , while its breadth is tripled . what is the % change in area ? 
Options: a ) 30 % , b ) 40 % , c ) 50 % , d ) 60 % , e ) 65 %
Output: c
Problem: a metallic sheet is of rectangular shape with dimensions 100 m x 50 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 10 m , the volume of the box ( in m cube ) is : 
Options: a ) 42500 m cube , b ) 20000 m cube , c ) 44140 m cube , d ) 24000 m cube , e ) none of these
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 seven - third that of the smaller circle . find the circumference of the smaller circle . ? 
Options: a ) 87 , b ) 98 , c ) 12 , d ) 27 , e ) 28
Output: c
Problem: the length of a rectangle is increased by 15 % and its breadth is decreased by 20 % . what is the effect on its area ? 
Options: a ) 1288 , b ) 1299 , c ) 1000 , d ) 10000 , e ) 9200
Output: e
Problem: a 45 ° - 45 ° - 90 ° right triangle has hypotenuse of length h . what is the area of the triangle e in terms of h ? 
Options: ['a ) h / √ 2', 'b ) h / 2', 'c ) h / 4', 'd ) ( h ) ^ 2', 'e ) ( h ) ^ 2 / 4']
Output: e
Problem: the area of the largest circle that can be drawn inside a square of side 70 cm in length is : 
Options: ['a ) 3600', 'b ) 2646', 'c ) 3850', 'd ) 4215', 'e ) 5205']
Output: c
Problem: let the sides of a rectangular prism are consecutive multiples of 5 . which among the following could be the base area 
Options: ['a ) 360', 'b ) 450', 'c ) 560', 'd ) 670', 'e ) 780']
Output: b
Problem: what is the perimeter , in meters , of a rectangular garden 4 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide ? 
Options: ['a ) 48', 'b ) 56', 'c ) 60', 'd ) 76', 'e ) 104']
Output: e
Problem: in a certain circle there are 9 points . what is the number of the triangles connecting 4 points of the 9 points ? 
Options: ['a ) 80', 'b ) 96', 'c ) 108', 'd ) 126', 'e ) 132']
Output: d
Problem: the perimeter of a triangle is 60 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle 
Options: a ) a ) 72 , b ) b ) 828 , c ) c ) 729 , d ) d ) 75 , e ) e ) 35
Output: d
Problem: find the area of a rhombus one side of which measures 20 cm and one diagonal is 24 cm . 
Options: a ) 370 cm 2 , b ) 365 cm 2 , c ) 380 cm 2 , d ) 384 cm 2 , e ) 394 cm 2
Output: d
Problem: a rectangle having length 105 cm and width 40 cm . if the length of the rectangle is increased by twenty five percent then how much percent the breadth should be decreased so as to maintain the same area . 
Options: a ) 25 % , b ) 19.23 % , c ) 40 % , d ) 75 % , e ) none of these
Output: b
Problem: 12 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 ) 150 , b ) 131 , c ) 115 , d ) 90 , e ) 45
Output: a
Problem: a snooker tournament charges $ 45.00 for vip seats and $ 20.00 for general admission ( “ regular ” seats ) . on a certain night , a total of 320 tickets were sold , for a total cost of $ 7500 . how many fewer tickets were sold that night for vip seats than for general admission seats ? 
Options: a ) 200 , b ) 276 , c ) 230 , d ) 240 , e ) 250
Output: b
Problem: a circular ground whose diameter is 70 metres , has a 2.8 metre - broad garden around it . what is the area of the garden in square metres ? 
Options: a ) 540.72 , b ) 740.64 , c ) 640.64 , d ) 620.45 , e ) 725.26
Output: c
Problem: find the circumference and area of radius 4 cm . 
Options: a ) 24 cm ² , b ) 44 cm ² , c ) 50 cm ² , d ) 84 cm ² , e ) 94 cm ²
Output: c
Problem: a box measuring 30 inches long by 48 inches wide by 12 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 ) 80 , c ) 85 , d ) 88 , e ) 90
Output: b
Problem: the ratio of the radius of two circles is 5 : 3 , and then the ratio of their areas is ? 
Options: a ) 1 : 8 , b ) 1 : 6 , c ) 25 : 9 , d ) 1 : 3 , e ) 1 : 2
Output: c
Problem: a rectangular tiled patio is composed of 80 square tiles . the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles . after the change in layout , the patio will still have 80 tiles , and it will still be rectangular . how many rows are in the tile patio before the change in layout ? 
Options: a ) 5 , b ) 6 , c ) 10 , d ) 12 , e ) 28
Output: d
Problem: the area of a square field is 576 km 2 . how long will it take for a horse to run around at the speed of 12 km / h ? 
Options: a ) 12 h , b ) 10 h , c ) 8 h , d ) 6 h , e ) none of these
Output: c
Problem: if the volume of two cubes are in the ratio 64 : 1 , the ratio of their edges is : 
Options: a ) 3 : 1 , b ) 3 : 2 , c ) 3 : 5 , d ) 4 : 1 , e ) none of these
Output: d
Problem: in may , the groundskeeper at spring lake golf club built a circular green with an area of 70 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 ) 1000 π , b ) 400 π , c ) 280 π , d ) 200 π , e ) 20 π
Output: c
Problem: the area of a rhombus is equal to the area of a square whose side length is 8 cm . if one of the diagonals is 16 cm what is the length of other diagonal ? 
Options: ['a ) 4', 'b ) 8', 'c ) 12', 'd ) 16', 'e ) 20']
Output: b
Problem: abcd is a square . e and f are the midpoints of sides cd and bc , respectively . what is the ratio of the shaded region area to the unshaded region ? 
Options: ['a ) 1 : 1', 'b ) 2 : 1', 'c ) 3 : 1', 'd ) 5 : 3', 'e ) 8 : 3']
Output: d
Problem: if a 3 cm cube is cut into 1 cm cubes , then what is the percentage increase in the surface area of the resulting cubes ? 
Options: a ) 40 % , b ) 100 % , c ) 150 % , d ) 200 % , e ) 300 %
Output: d
Problem: what will be the cost of building a fence around a square plot with area equal to 36 sq ft , if the price per foot of building the fence is rs . 58 ? 
Options: a ) 3944 , b ) 2882 , c ) 2999 , d ) 2667 , e ) 1392
Output: e
Problem: the perimeter of a square is equal to the perimeter of a rectangle of length 18 cm and breadth 14 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) 
Options: a ) 23.57 , b ) 23.54 , c ) 23.5 , d ) 24.55 , e ) 25.14
Output: e
Problem: the length of each side of square a is increased by 100 percent to make square b . if the length of the side of square b is increased by 25 percent to make square c , by what percent is the area of square c greater than the sum of the areas of squares a and b ? 
Options: a ) 75 % , b ) 25 % , c ) 10 % , d ) 45 % , e ) 180 %
Output: d
Problem: if the radius of a circle is decreased 30 % , what happens to the area ? 
Options: a ) 51 % decrease , b ) 20 % decrease , c ) 36 % decrease , d ) 40 % decrease , e ) 50 % decrease
Output: a
Problem: a full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet . oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck ' s tank is completely filled . if the truck ' s tank has a radius of 5 feet and a height of 10 feet , how far did the oil level drop in the stationary tank ? 
Options: ['a ) 2.5 ft', 'b ) 1 ft', 'c ) 0.5 ft', 'd ) 0.25 ft', 'e ) 0.025 ft']
Output: e
Problem: find the area of a parallelogram with base 60 cm and height 16 cm ? 
Options: a ) 960 cm 2 , b ) 240 cm 2 , c ) 480 cm 2 , d ) 45 cm 2 , e ) 250 cm 2
Output: a
Problem: three solid cubes of sides 1 cm , 6 cm and 8 cm are melted to form a new cube . find the surface area of the cube so formed 
Options: ['a ) 486', 'b ) 366', 'c ) 299', 'd ) 278', 'e ) 1888']
Output: a
Problem: the radius of a cylindrical vessel is 8 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 ) 553.1 sq cm , e ) 138 sq cm
Output: d
Problem: if the radius of a circle that centers at the origin is 5 , how many w points on the circle have integer coordinates ? 
Options: a ) 4 , b ) 8 , c ) 12 , d ) 15 , e ) 20
Output: c
Problem: what is the measure of the radius of the circle that circumscribes a triangle whose sides measure 7 , 24 and 25 ? 
Options: a ) 2.5 , b ) 6.5 , c ) 12.5 , d ) 14 , e ) 16
Output: c
Problem: find the area of the quadrilateral of one of its diagonals is 40 cm and its off sets 11 cm and 9 cm ? 
Options: a ) 100 cm 2 , b ) 150 cm 2 , c ) 333 cm 2 , d ) 400 cm 2 , e ) 750 cm 2
Output: d
Problem: if the area of a square with sides of length 4 centimeters is equal to the area of a rectangle with a width of 8 centimeters , what is the length of the rectangle , in centimeters ? 
Options: a ) 4 , b ) 8 , c ) 2 , d ) 16 , e ) 18
Output: c
Problem: the measure of the side of a square is quadrupled . if x represents the perimeter of the original square , what is the value of the new perimeter ? 
Options: ['a ) 3 x', 'b ) 4 x', 'c ) 9 x', 'd ) 12 x', 'e ) 27 x']
Output: b
Problem: a certain cube floating in a bucket of water has between 80 and 90 percent of its volume below the surface of the water . if between 6 and 13 cubic centimeters of the cube ' s volume is above the surface of the water , then the length of a side of the cube is approximately 
Options: a ) 4 , b ) 5 , c ) 7 , d ) 8 , e ) 9
Output: a
Problem: there is a square with side ‘ a ’ and one octagon is inscribed in it . what will be perimeter of octagon . 
Options: ['a ) 8 a / 3', 'b ) 7 a / 3', 'c ) 5 a / 3', 'd ) a / 3', 'e ) 11 a / 3']
Output: a
Problem: the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 675 sq m , then what is the breadth of the rectangular plot ? 
Options: a ) 16 , b ) 17 , c ) 18 , d ) 15 , e ) 14
Output: d
Problem: if a rectangular room measures 12 meters by 6 meters by 4 meters , what is the volume of the room in cubic centimeters ? ( 1 meter = 100 centimeters ) 
Options: a ) 288 , 000,000 , b ) 240,000 , c ) 2 , 400,000 , d ) 24 , 000,000 , e ) 240 , 000,000
Output: a
Problem: if a cube has a volume of 125 , what is the surface area of one side ? 
Options: ['a ) 5', 'b ) 25', 'c ) 50', 'd ) 150', 'e ) 625']
Output: b
Problem: the size of a flat - screen television is given as the length of the screen ’ s diagonal . how many square inches greater is the screen of a square 24 - inch flat - screen television than a square 17 - inch flat - screen television ? 
Options: a ) 143.5 , b ) 154 , c ) 160 , d ) 148.75 , e ) 142.25
Output: a
Problem: square p is inscribed in circle q . if the perimeter of p is 40 , what is the circumference of q ? 
Options: ['a ) 11 √ 2 π', 'b ) 10 √ 2 π', 'c ) 9 √ 2 π', 'd ) 8 √ 2 π', 'e ) 7 √ 2 π']
Output: b
Problem: the parameter of a square is equal to the perimeter of a rectangle of length 22 cm and breadth 16 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) 
Options: a ) 77.14 cm , b ) 47.14 cm , c ) 84.92 cm , d ) 29.85 cm , e ) 23.57 cm
Output: d
Problem: in how many w 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: find the area of a rhombus one side of which measures 20 cm and one diagonal is 27 cm . 
Options: a ) 600 cm 2 , b ) 500 cm 2 , c ) 400 cm 2 , d ) 432 cm 2 , e ) 100 cm 2
Output: d
Problem: one side of the bottom layer of a triangular pyramid has 12 balls . how many are there in the whole pyramid ? note that the pyramid is equilateral and solid . 
Options: ['a ) 286', 'b ) 364', 'c ) 504', 'd ) 164', 'e ) 165']
Output: b
Problem: the floor of a rectangular room is 20 m long and 12 m wide . the room is surrounded by a veranda of width 2 m on all its sides . the area of the veranda is : 
Options: a ) 144 m 2 , b ) 120 m 2 , c ) 108 m 2 , d ) 158 m 2 , e ) none of these
Output: a
Problem: a rectangular room has the rectangular shaped rug shown as above figure such that the rug ’ s area is 140 square feet and its length is 4 feet longer than its width . if the uniform width between the rug and room is 4 feet , what is the area of the region uncovered by the rug ( shaded region ) , in square feet ? 
Options: a ) 32 , b ) 36 , c ) 40 , d ) 46 , e ) 256
Output: e
Problem: the size of a flat - screen tablet is given as the length of the screen ’ s diagonal . how many square inches greater is the screen of a square 6 - inch flat - screen tablet than a square 5 - inch flat - screen tablet ? 
Options: ['a ) 5.0', 'b ) 6.0', 'c ) 6.8', 'd ) 5.8', 'e ) 5.5']
Output: e
Problem: what is the probability of getting equilateral triangles from the vertices of regular hexagon ? 
Options: a ) 1 / 10 , b ) 2 / 10 , c ) 3 / 10 , d ) 4 / 10 , e ) 5 / 10
Output: a
Problem: f and e are midpoints of ab and ad respectively . if the side of square abcd is 8 , what is the area of triangle cef ? 
Options: ['a ) 8 √ 2', 'b ) 9 √ 3', 'c ) 18', 'd ) 16 √ 2', 'e ) 24']
Output: e
Problem: square x is inscribed in circle y . if the perimeter of x is 64 , what is the circumference of y ? 
Options: ['a ) 16 √ 2 π', 'b ) 8 √ 2 π', 'c ) 22 √ 2 π', 'd ) 12 √ 2 π', 'e ) 9']
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 199 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 ) 10,000 , b ) 11,025 , c ) 14,400 , d ) 12,696 , e ) can not be determined
Output: a
Problem: a piece of paper is in the shape of a right angled triangle and is cut along a line that is parallel to the hypotenuse , leaving a smaller triangle . there was a 35 % reduction in the length of the hypotenuse of the triangle . if the area of the original triangle was 34 square inches before the cut , what is the area ( in square inches ) of the smaller triangle ? 
Options: ['a ) 16.665', 'b ) 16.565', 'c ) 15.465', 'd ) 14.365', 'e ) 14.378']
Output: d
Problem: if the length of the longest chord of a certain circle is 10 , what is the radius of that certain circle ? 
Options: ['a ) 2.5', 'b ) 5', 'c ) 10', 'd ) 15', 'e ) 20']
Output: b
Problem: four horses are tethered at 4 corners of a square field of side 70 metres so that they just can not reach one another . the area left ungrazed by the horses is : 
Options: ['a ) 1050 sq . m', 'b ) 3850 sq . m', 'c ) 950 sq . m', 'd ) 1075 sq . m', 'e ) 1065 sq . m']
Output: a
Problem: the length of rectangle is thrice its breadth and its perimeter is 72 m , find the area of the rectangle ? 
Options: a ) 432 , b ) 212 , c ) 243 , d ) 992 , e ) 212
Output: c
Problem: what is the angle between the hands of a clock when time is 8 : 20 ? 
Options: a ) 65 deg , b ) 75 deg , c ) 50 deg , d ) 15 deg , e ) 30 deg
Output: c
Problem: mr . loyd wants to fence his square shaped land of 150 sqft each side . if a pole is laid every 30 ft how many poles do he need ? 
Options: ['a ) 20', 'b ) 30', 'c ) 40', 'd ) 50', 'e ) 60']
Output: b
Problem: a square mirror has exactly half the area of the rectangular wall on which it is hung . if each side of the mirror is 18 inches and the width of the wall is 32 inches , what is the length of the wall , in inches ? 
Options: a ) 15.25 , b ) 18.25 , c ) 19.25 , d ) 20.25 , e ) 21.25
Output: d
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 . 1430 . the perimeter of the plot is ? 
Options: a ) 126 , b ) 156 , c ) 190 , d ) 321 , e ) 220
Output: e
Problem: if the area of circle is 616 sq cm then its circumference ? 
Options: ['a ) 76', 'b ) 55', 'c ) 88', 'd ) 21', 'e ) 11']
Output: c
Problem: the dimensions of a rectangular solid are 6 inches , 5 inches , and 8 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 ) 10 : 19', 'e ) 32 : 25']
Output: d
Problem: the length of rectangle is thrice its breadth and its perimeter is 80 m , find the area of the rectangle ? 
Options: a ) 360 , b ) 376 , c ) 299 , d ) 276 , e ) 111
Output: a
Problem: huey ' s hip pizza sells two sizes of square pizzas : a small pizza that measures 6 inches on a side and costs $ 10 , and a large pizza that measures 9 inches on a side and costs $ 20 . if two friends go to huey ' s with $ 30 apiece , how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone ? 
Options: a ) 9 square inches , b ) 10 square inches , c ) 15 square inches , d ) 25 square inches , e ) 350 square inches
Output: a