niryuu/sni-each-converted huggingface dataset:
Problem: three runners running around a circular track can complete one revolution in 2 , 4 and 5.5 respectively . when will they meet at starting point ? 
Options: ['a ) 40 h', 'b ) 44 h', 'c ) 38 h', 'd ) 20 h', 'e ) 22 h']
Output: b
Problem: a rectangular tiled patio is composed of 40 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 40 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 ) 13 , e ) 28
Output: b
Problem: if k and w are the dimensions of a rectangle that has area 40 , and if k and w are integers such that k > w , what is the total number of possible values of k ? 
Options: a ) two , b ) three , c ) four , d ) five , e ) six
Output: c
Problem: the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 294 sq . cm , what is the width of the rectangle ? 
Options: a ) 10 cm , b ) 12 cm , c ) 14 cm , d ) 16 cm , e ) 18 cm
Output: c
Problem: a metallic sheet is of rectangular shape with dimensions 48 m x 36 m . from each of its corner , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m 3 ) is 
Options: a ) 6420 , b ) 8960 , c ) 5120 , d ) 4830 , e ) none
Output: c
Problem: if a 2 cm cube is cut into 1 cm cubes , then what is the percentage increase in the surface area of the resulting cubes ? 
Options: a ) 50 % , b ) 100 % , c ) 150 % , d ) 200 % , e ) 250 %
Output: b
Problem: a circular logo is enlarged to fit the lid of a jar . the new diameter is 10 per cent larger than the original . by what percentage has the area of the logo increased ? 
Options: a ) 50 , b ) 80 , c ) 100 , d ) 125 , e ) 21
Output: e
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 . 1690 . the perimeter of the plot is ? 
Options: a ) 126 , b ) 156 , c ) 190 , d ) 321 , e ) 260
Output: e
Problem: a math teacher has 25 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 ) 8 , b ) 10 , c ) 11 , d ) 12 , e ) 13
Output: a
Problem: the ratio , by volume , of soap to alcohol to water in a certain solution is 4 : 40 : 90 . the solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved . if the altered solution will contain 200 cubic centimeters of alcohol , how many cubic centimeters of water will it contain ? 
Options: ['a ) 1300', 'b ) 1500', 'c ) 1600', 'd ) 1700', 'e ) 1800']
Output: e
Problem: if the area of a circle is 144 pi square feet , find its circumference . 
Options: ['a ) 65 pi feet', 'b ) 24 pi feet', 'c ) 42 pi feet', 'd ) 18 pi feet', 'e ) 64 pi feet']
Output: b
Problem: if the sum of a number and its square is 210 , what is the number ? 
Options: a ) 16 , b ) 14 , c ) 25 , d ) 87 , e ) 171
Output: b
Problem: abcd is a square where ab = â ˆ š 6000 . let x be a point on ab and y be a point on cd such that ax = cy . compute the area of trapezoid axyd . 
Options: a ) 3008 , b ) 2002 , c ) 1008 , d ) 2016 , e ) 3000
Output: e
Problem: the size of a television screen is given as the length of the screen ' s diagonal . if the screens were flat , then the area of a square 18 - inch screen would be how many square inches greater than the area of a square 16 - inch screen ? 
Options: ['a ) 2', 'b ) 4', 'c ) 34', 'd ) 38', 'e ) 40']
Output: c
Problem: 14 business executives and 7 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ? 
Options: a ) 144 , b ) 131 , c ) 115 , d ) 189 , e ) 45
Output: d
Problem: if the difference between the length and breadth of a rectangle is 23 m and its perimeter is 266 m , what is its area ? 
Options: a ) 4290 , b ) 2535 , c ) 2530 , d ) 2515 , e ) 2520
Output: a
Problem: the diagonals of a rhombus are 25 cm and 30 cm . find its area ? 
Options: a ) 250 , b ) 300 , c ) 375 , d ) 550 , e ) 750
Output: c
Problem: find the smallest number that should be multiplied with 54000 to make it a perfect cube . 
Options: ['a ) 4', 'b ) 5', 'c ) 6', 'd ) 3', 'e ) 7']
Output: a
Problem: the sides of a square region , measured to the nearest centimeter , are 9 centimeters long . the least possible value of the actual area of the square region is 
Options: a ) 60.25 sq cm , b ) 66.25 sq cm , c ) 56.25 sq cm , d ) 72.25 sq cm , e ) 58.25 sq cm
Output: c
Problem: a rectangular metallic piece of paper that covers exactly the area of a cube . the length of the piece of paper is 96 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 64', 'b ) b 22', 'c ) c 27', 'd ) d 40', 'e ) e 50']
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 have only one face coloured ? 
Options: a ) 4 , b ) 8 , c ) 16 , d ) 24 , e ) 2
Output: d
Problem: how many internal diagonals does a pentagon ( five sided polygon ) have ? 
Options: a ) 5 , b ) 8 , c ) 9 , d ) 10 , e ) 12
Output: a
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 20 cm 2 . find the lengths of all sides . 
Options: a ) 10 and 3 , b ) 7 and 10 , c ) 11 and 8 , d ) 3 and 10 , e ) 10 and 10
Output: c
Problem: the perimeter of a triangle is 40 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ? 
Options: a ) 87 cm 2 , b ) 28 cm 2 , c ) 98 cm 2 , d ) 26 cm 2 , e ) 50 cm 2
Output: e
Problem: the product of the squares of two positive integers is 9 . how many pairs of positive integers satisfy this condition ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Output: b
Problem: the surface of a cube is 54 sq cm . find its volume ? 
Options: a ) 8 cc , b ) 27 cc , c ) 2 cc , d ) 4 cc , e ) 6 cc
Output: b
Problem: the perimeters of 2 squares are 60 cm and 48 cm . find the perimeter of a third square whose area is equal to the difference of the areas of the two squares ? 
Options: ['a ) 20 cm', 'b ) 28 cm', 'c ) 36 cm', 'd ) 48 cm', 'e ) 40 cm']
Output: c
Problem: if the radius of a cylinder is made 3 times and so is the height , what is the new volume of the cylinder divided by the old one ? 
Options: a ) 27 . , b ) 2 . , c ) 6 . , d ) 4 . , e ) 10 .
Output: a
Problem: the perimeter of a triangle is 44 cm and the in radius of the triangle is 2.5 cm . what is the area of the triangle ? 
Options: a ) 76 , b ) 88 , c ) 66 , d ) 55 , e ) 35
Output: d
Problem: the width of a rectangle is 10 mtr and its area is 150 square meter . if length of the rectangle is increased , then its new area is 1 ( 1 / 3 ) times of the original area . what is the new perimeter of the rectangle ? 
Options: ['a ) 45', 'b ) 54', 'c ) 67', 'd ) 60', 'e ) 69']
Output: d
Problem: approximately how many cubic feet of water are needed to fill a circular swimming pool that is 40 feet across and 7 feet deep ? 
Options: a ) 700 , b ) 1500 , c ) 3000 , d ) 5000 , e ) 9000
Output: e
Problem: huey ' s hip pizza sells two sizes of square pizzas : a small pizza that measures 8 inches on a side and costs $ 10 , and a large pizza that measures 12 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 ) 16 square inches , d ) 25 square inches , e ) 350 square inches
Output: c
Problem: a block of wood has dimensions 10 cm x 10 cm x 50 cm . the block is painted red and then cut evenly at the 25 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 ) 5.5 % , b ) 8.3 % , c ) 11.6 % , d ) 14.2 % , e ) 17.5 %
Output: b
Problem: what is the area of a square with perimeter 12 p ? 
Options: ['a ) 16 p ^ 2', 'b ) 4 p', 'c ) 9 p ^ 2', 'd ) p / 16', 'e ) p ^ 2 / 16']
Output: c
Problem: you have 59 cubic blocks . what is the minimum number that needs to be taken away in order to construct a solid cube with none left over ? 
Options: ['a ) 27', 'b ) 43', 'c ) 11', 'd ) 32', 'e ) 45']
Output: d
Problem: the radius of a cylindrical vessel is 5 cm and height is 3 cm . find the whole surface of the cylinder ? 
Options: a ) 251.4 sq cm , b ) 220 sq cm , c ) 440 sq cm , d ) 132 sq cm , e ) 138 sq cm
Output: a
Problem: what is the smallest positive integer x , such that 5000 x is a perfect cube ? 
Options: a ) 4 , b ) 6 , c ) 8 , d ) 25 , e ) 18
Output: d
Problem: if a rectangular room measures 11 meters by 6 meters by 4 meters , what is the volume of the room in cubic centimeters ? ( 1 meter = 100 centimeters ) 
Options: a ) 24,000 , b ) 240,000 , c ) 2 , 400,000 , d ) 24 , 000,000 , e ) 264 , 000,000
Output: e
Problem: in triangle pqr , the angle q = 90 degree , pq = 7 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 ) 5.6 cm', 'b ) 2.4 cm', 'c ) 4.8 cm', 'd ) 2.16 cm', 'e ) 3.2 cm']
Output: a
Problem: cuboid volume and base area are 144 m ^ 3 and 18 m ^ 3 respectively . find the height of a cuboid ? 
Options: ['a ) 5 m', 'b ) 12 m', 'c ) 6 m', 'd ) 8 m', 'e ) 10 m']
Output: d
Problem: if the area of a square with sides of length 12 centimeters is equal to the area of a rectangle with a width of 6 centimeters , what is the length of the rectangle , in centimeters ? 
Options: a ) 4 , b ) 8 , c ) 12 , d ) 24 , e ) 18
Output: d
Problem: obra drove 200 π meters along a circular track . if the area enclosed by the circular track on which she drove is 57,600 π square meters , what percentage of the circular track did obra drive ? 
Options: a ) 6.67 % , b ) 12.5 % , c ) 41.66 % , d ) 25 % , e ) 33.3 %
Output: c
Problem: if the radius of a circle is increased by 60 % then the area is increased by : 
Options: a ) 44 % , b ) 120 % , c ) 156 % , d ) 40 % , e ) none of the above
Output: c
Problem: a rectangular parking space is marked out by painting three of its sides . if the length of the unpainted side is 9 feet , and the sum of the lengths of the painted sides is 37 feet , find out the area of the parking space in square feet ? 
Options: a ) 120 , b ) 122 , c ) 124 , d ) 128 , e ) 126
Output: e
Problem: the red triangle is equilateral with a side of 23 centimetres . its perimeter is 
Options: ['a ) 68 cm', 'b ) 69 cm', 'c ) 70 cm', 'd ) 71 cm', 'e ) none']
Output: b
Problem: the perimeter of a rectangle is 60 mete ( 132 ) 7 × ( 132 ) ? = ( 132 ) 11.5 . 
Options: a ) 3 , b ) 3.5 , c ) 4 , d ) 4.5 , e ) 5
Output: d
Problem: a snooker tournament charges $ 40.00 for vip seats and $ 10.00 for general admission ( “ regular ” seats ) . on a certain night , a total of 320 tickets were sold , for a total cost of $ 7,500 . how many fewer tickets were sold that night for vip seats than for general admission seats ? 
Options: ['a ) 190', 'b ) 180', 'c ) 170', 'd ) 160', 'e ) 148']
Output: e
Problem: a girl walking at the rate of 9 km per hour crosses a square field diagonally in 12 seconds . the area of the field is : 
Options: ['a ) 430 sq . m', 'b ) 425 sq . m', 'c ) 450 sq . m', 'd ) 475 sq . m', 'e ) 350 sq . m']
Output: c
Problem: what is the sum of the squares of the first 20 natural numbers ( 1 to 20 ) ? 
Options: ['a ) 2870', 'b ) 2000', 'c ) 5650', 'd ) 6650', 'e ) 7650']
Output: a
Problem: a cube is divided into 512 identical cubelets . each cut is made parallel to some surface of the cube . but before doing that , the cube is painted with green on one set of opposite faces , red on another set of opposite faces , and blue on the third set of opposite faces . how many cubelets are painted with exactly one colour ? 
Options: a ) 216 , b ) 264 , c ) 296 , d ) 312 , e ) 324
Output: a
Problem: what is the perimeter of a square field whose diagonal is 8 √ 2 ? 
Options: a ) 82 m , b ) 32 m , c ) 27 m , d ) 26 m , e ) 76 m
Output: b
Problem: the perimeter of an equilateral triangle is 60 . if one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 55 , then how long is the base of isosceles triangle ? 
Options: a ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) 25
Output: c
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 40 inches . find b . 
Options: a ) 8 , b ) 6 , c ) 24 , d ) 32 , e ) 48
Output: b
Problem: square a has an area of 121 square centimeters . square b has a perimeter of 16 centimeters . if square b is placed within square a and a random point is chosen within square a , what is the probability the point is not within square b ? 
Options: a ) 9 / 25 , b ) 1 / 5 , c ) 16 / 121 , d ) 105 / 121 , e ) 6 / 25
Output: d
Problem: how many differently shaped triangles exist in which no two sides are of the same length , each side is of integral unit length and the perimeter of the triangle is less than 14 units ? 
Options: ['a ) 3', 'b ) 4', 'c ) 5', 'd ) 6', 'e ) 7']
Output: c
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 54 inches and the width of the wall is 68 inches , what is the length of the wall , in inches ? 
Options: ['a ) 25.7', 'b ) 72.7', 'c ) 70.7', 'd ) 85.7', 'e ) 56.7']
Output: d
Problem: a picture is copied onto a sheet of paper 8.5 inches by 10 inches . a 1.5 inch margin is left all around . what area in square inches does the picture cover ? 
Options: ['a ) 76', 'b ) 65', 'c ) 59.5', 'd ) 49', 'e ) 38.5']
Output: e
Problem: rectangle a has sides a and b , and rectangle b has sides c and d . if a / c = b / d = 2 / 3 , what is the ratio of rectangle a ’ s area to rectangle b ’ s area ? 
Options: a ) 4 / 9 , b ) 2 / 3 , c ) 3 / 2 , d ) 9 / 2 , e ) 9 / 4
Output: a
Problem: approximately how many cubic feet of water are needed to fill a circular swimming pool that is 100 feet across and 4 feet deep ? 
Options: a ) 15000 , b ) 30000 , c ) 50000 , d ) 70000 , e ) 90000
Output: b
Problem: the cost of the paint is rs . 20 per kg . if 1 kg of paint covers 15 sq . ft , how much will it cost to paint outside of a cube having 5 feet each side 
Options: ['a ) rs . 200', 'b ) rs . 672', 'c ) rs . 546', 'd ) rs . 876', 'e ) none of these']
Output: a
Problem: the diagonals of a rhombus are 18 cm and 22 cm . find its area ? 
Options: ['a ) 277', 'b ) 266', 'c ) 198', 'd ) 288', 'e ) 212']
Output: c
Problem: the area of a square field is 7201 sq m . how long will a lady take to cross the field diagonally at the rate of 1.2 km / hr ? 
Options: a ) 6 min , b ) 5 min , c ) 5.5 min , d ) 4 min , e ) 3 min
Output: a
Problem: the area of a circle is increased by 300 % . by what percent has the diameter of the circle increased ? 
Options: ['a ) 400 %', 'b ) 200 %', 'c ) 300 %', 'd ) 100 %', 'e ) 800 %']
Output: d
Problem: a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 120 sq . feet , how many feet of fencing will be required ? 
Options: a ) 34 , b ) 40 , c ) 68 , d ) 88 , e ) 32
Output: e
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 grams r ? 
Options: a ) 16 , b ) r = 32 , c ) r = 64 , d ) 128 , e ) 512
Output: b
Problem: what is the % change in the area of a rectangle when its length increases by 20 % and its width decreases by 20 % ? 
Options: a ) 0 % , b ) 20 % increase , c ) 20 % decrease , d ) 4 % decrease , e ) insufficient data
Output: d
Problem: the circumference of a circle is equal to 72 pi . find the radius of this circle . 
Options: ['a ) 35', 'b ) 36', 'c ) 37', 'd ) 38', 'e ) 39']
Output: b
Problem: obra drove 140 π meters along a circular track . if the area enclosed by the circular track on which she drove is 57,600 π square meters , what percentage of the circular track did obra drive ? 
Options: a ) 6.67 % , b ) 12.5 % , c ) 18.75 % , d ) 29.16 % , e ) 33.3 %
Output: d
Problem: a rectangular block 6 cm by 12 cm by 15 cm is cut up into an exact number of equal cubes . find the least possible number of cubes . 
Options: a ) 30 , b ) 40 , c ) 10 , d ) 20 , e ) 50
Output: b
Problem: the area of a square garden is q square feet and the perimeter is p feet . if q = 2 p + 20 , what is the perimeter of the garden in feet ? 
Options: ['a ) 32', 'b ) 36', 'c ) 40', 'd ) 44', 'e ) 48']
Output: c
Problem: in right triangle abc , ac is the hypotenuse . if ac is 35 and ab + bc = 55 , what is the area of the triangle abc ? 
Options: a ) 225 , b ) 450 , c ) 25 √ 2 , d ) 200 , e ) 200 √ 2
Output: b
Problem: a volume of 10940 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 ) 2735 , e ) 4254
Output: d
Problem: a rectangular farm has to be fenced one long side , one short side and the diagonal . if the cost of fencing is rs . 13 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 ) 1560 , c ) 2832 , d ) 1299 , e ) 1236
Output: b
Problem: the perimeter of a triangle is 20 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 ) 25 , d ) d ) 34 , e ) e ) 35
Output: c
Problem: 6 points lie on the circumference of a ellipse . what is the positive difference between the number of triangles and the number of quadrilaterals that can be created by connecting these points ? 
Options: a ) 4 , b ) 6 , c ) 5 , d ) 15 , e ) 20
Output: c
Problem: 108 . triangle a ’ s base is 7 % greater than the base of triangle b , and a ’ s height is 7 % 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 ) 2.1 % more
Output: e
Problem: the side of a rhombus is 25 m and length of one of its diagonals is 10 m . the area of the rhombus is ? 
Options: a ) 244.85 , b ) 224.95 , c ) 244.85 , d ) 224.95 , e ) 244.95
Output: e
Problem: what is the area of a square field whose sides have a length of 12 meters ? 
Options: a ) 225 sq m , b ) 126 sq m , c ) 144 sq m , d ) 267 sq m , e ) 231 sq m
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 60 sq . feet , how many feet of fencing will be required ? 
Options: a ) 34 , b ) 40 , c ) 68 , d ) 88 , e ) 26
Output: e
Problem: an error 2 % in excess is made while measuring the sideofa square . the % of error in the calculated area of the square is ? 
Options: a ) 4 % , b ) 4.04 % , c ) 4.15 % , d ) 5 % , e ) 5.24 %
Output: b
Problem: the area of a parallelogram is 72 sq m and its base is 12 m . then the length of the height is ? 
Options: a ) 6 m , b ) 7 m , c ) 60 m , d ) 13 m , e ) none
Output: a
Problem: a rectangular field has area equal to 150 sq m and perimeter 50 m . its length and breadth must be ? 
Options: ['a ) 15 m , 15 m', 'b ) 15 m , 90 m', 'c ) 16 m , 10 m', 'd ) 15 m , 10 m', 'e ) 15 m , 30 m']
Output: d
Problem: find the perimeter and area of a square of side 12 cm . 
Options: a ) 144 , b ) 121 , c ) 169 , d ) 196 , e ) 100
Output: a
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 . ft , how many feet of fencing will be required ? 
Options: a ) 88 feet , b ) 86 feet , c ) 84 feet , d ) 82 feet , e ) 83 feet
Output: a
Problem: find the area of a parallelogram with base 32 cm and height 14 cm ? 
Options: a ) 498 cm 2 , b ) 384 cm 2 , c ) 430 cm 2 , d ) 128 cm 2 , e ) 448 cm 2
Output: e
Problem: find the perimeter and area of the rectangle of length 11 cm and breadth 7 cm . 
Options: a ) 77 cm 2 , b ) 121 cm 2 , c ) 141 cm 2 , d ) 171 cm 2 , e ) 221 cm 2
Output: a
Problem: the slant height of a cone is 35 cm and radius of the base is 14 cm , find the curved surface of the cone . 
Options: ['a ) 4150', 'b ) 1780', 'c ) 1540', 'd ) 1500', 'e ) 6100']
Output: c
Problem: if a 1 mm thick paper is folded so that the area is halved at every fold , then what would be the thickness of the pile after 50 folds ? 
Options: ['a ) 100 km', 'b ) 1000 km', 'c ) 1 million km', 'd ) 1 billion km', 'e ) none']
Output: d
Problem: a tailor trims 4 feet from opposite edges of a square piece of cloth , and 3 feet from the other two edges . if 120 square feet of cloth remain , what was the length of a side of the original piece of cloth ? 
Options: ['a ) 18', 'b ) 20', 'c ) 24', 'd ) 26', 'e ) 40']
Output: a
Problem: the diagonal of a rhombus are 25 m and 50 m . its area is : 
Options: a ) 900 , b ) 800 , c ) 700 , d ) 625 , e ) 650
Output: d
Problem: a rectangular grass field is 95 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ? 
Options: a ) 1350 , b ) 1550 , c ) 9676 , d ) 1679 , e ) 2691
Output: b
Problem: the mass of 1 cubic meter of a substance is 400 kilograms under certain conditions . what is the volume , in cubic centimeters , of 1 gram of this substance under these conditions ? ( 1 kilogram = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters ) 
Options: a ) 0.8 , b ) 1.25 , c ) 8.0 , d ) 2.5 , e ) 80.0
Output: d
Problem: the number 83 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ? 
Options: ['a ) 17', 'b ) 16', 'c ) 15', 'd ) 14', 'e ) 13']
Output: c
Problem: find the smallest number which should be multiplied with 520 to make it a perfect square 
Options: a ) 337 , b ) 297 , c ) 266 , d ) 116 , e ) 130
Output: e
Problem: calculate the area of a triangle , if the sides are 13 cm , 12 cm and 5 cm , what is its area ? 
Options: ['a ) 36 cm 2', 'b ) 35 cm 2', 'c ) 30 cm 2', 'd ) 32 cm 2', 'e ) 31 cm 2']
Output: c
Problem: triangle xyz is an isosceles right triangle . if side xy is longer than side yz , and the area of the triangle is 9 , what is the measure of side xy ? 
Options: a ) 4 , b ) 4 √ 2 , c ) 8 , d ) 6 , e ) can not be determined from the information provided
Output: d
Problem: the length of a rectangle is halved , whileits breadth is tripled . wat is the % change in area ? 
Options: a ) 40 % , b ) 45 % , c ) 50 % , d ) 65 % , e ) 70 %
Output: c
Problem: how many diagonals does a polygon with 23 sides have , if one of its vertices does not connect to any diagonal ? 
Options: a ) 201 , b ) 159 , c ) 179 , d ) 189 , e ) 209
Output: e
Problem: a rectangular swimming pool is 20 feet by 20 feet . a deck that has uniform width surrounds the pool . the total area of the pool and deck is 576 square feet . what is the width of the deck ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Output: a
Problem: the area of a rectangle is 63 sq m . the width is two meters shorter than the length . what is the width ? 
Options: ['a ) 9', 'b ) 7', 'c ) - 9', 'd ) 11', 'e ) 6']
Output: b
Problem: the length of a rectangular garden is three times its width . if the area of the rectangular garden is 768 square meters , then what is the width of the rectangular garden ? 
Options: a ) 16 , b ) 17 , c ) 18 , d ) 19 , e ) 20
Output: a
Problem: ) a cube is painted blue on all of its surfaces . it is then cut in to 27 smaller cubes of equal size . find how many smaller cubes have no color ? 
Options: ['a ) 1', 'b ) 3', 'c ) 8', 'd ) 5', 'e ) 7']
Output: a
Problem: there is a square with sides of 9 . what is the area of the biggest circle that can be cut out of this square ? 
Options: a ) 72.83 , b ) 63.62 , c ) 81 , d ) 254.47 , e ) 100
Output: b
Problem: a larger cube has 216 cubic inch as a volume and in the cube there are 216 smaller cubes such that their volume is 1 cubic inch . what is the difference between the surface areas ’ sum of the 216 smaller cubes and the surface area of the larger cube , in square inch ? 
Options: a ) 54 , b ) 64 , c ) 81 , d ) 1080 , e ) 120
Output: d
Problem: while visiting a small town in the united states , i lost my overcoat in a bus . when i reported the matter to the bus company i was asked the number of the bus . though i did not remember the exact number i did remember that the bus number bad a certain peculiarity about it . the number plate showed the bus number as a perfect square and also if the plate was turned upside down . ? the number would still be a perfect square — of course it was not ? i came to know from the bus company they had only 5 100 buses numbered from 1 to 500 . from this i was able to deduce the bus number . can you tell what was the other number . 
Options: a ) 127 , b ) 196 , c ) 116 , d ) 140 , e ) 234
Output: b
Problem: each of the 55 points is placed either inside or on the surface of a perfect sphere . if 60 % or fewer of the points touch the surface , what is the maximum number of segments which , if connected from those points to form chords , could be the diameter of the sphere ? 
Options: ['a ) 7', 'b ) 11', 'c ) 13', 'd ) 16', 'e ) 38']
Output: d
Problem: a specialized type of sand consists of 40 % mineral x by volume and 60 % mineral y by volume . if mineral x weighs 2.5 grams per cubic centimeter and mineral y weighs 3 grams per cubic centimeter , how many grams does a cubic meter of specialized sand combination weigh ? ( 1 meter = 100 centimeters ) 
Options: a ) 5 , 500,000 , b ) 2 , 800,000 , c ) 55,000 , d ) 28,000 , e ) 280
Output: b
Problem: a specialized type of sand consists of 40 % mineral x by volume and 60 % mineral y by volume . if mineral x weighs 1.5 grams per cubic centimeter and mineral y weighs 3 grams per cubic centimeter , how many grams does a cubic meter of specialized sand combination weigh ? ( 1 meter = 100 centimeters ) 
Options: a ) 2 , 400,000 , b ) 2 , 800,000 , c ) 55,000 , d ) 28,000 , e ) 280
Output: a
Problem: if the area of a circle is 100 pi square feet , find its circumference . 
Options: a ) 65 pi feet , b ) 20 pi feet , c ) 42 pi feet , d ) 18 pi feet , e ) 64 pi feet
Output: b
Problem: difference between the length & breadth of a rectangle is 10 m . if its perimeter is 206 m , then its area is ? 
Options: ['a ) 2400 m ^ 2', 'b ) 1500 m ^ 2', 'c ) 2520 m ^ 2', 'd ) 1200 m ^ 2', 'e ) 2580 m ^ 2']
Output: d
Problem: which is the smallest no which divides 2880 and gives a perfect square ? 
Options: ['a ) 4', 'b ) 9', 'c ) 3', 'd ) 5', 'e ) 7']
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 10 inches tall . how tall are the sculpture andbase together ? 
Options: a ) 3.1 feet , b ) 3.66 feet , c ) 3.3 feet , d ) 3.4 feet , e ) 3.5 feet
Output: b
Problem: a diagonal of a polygon is an segment between two non - adjacent vertices of the polygon . how many diagonals does a regular 45 - sided polygon have ? 
Options: a ) 875 , b ) 945 , c ) 1425 , d ) 2025 , e ) 2500
Output: b
Problem: if the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm , a square with the same area as the original rectangle would result . find the perimeter of the original rectangle ? 
Options: a ) 76 , b ) 27 , c ) 19 , d ) 50 , e ) 11
Output: d
Problem: 108 . triangle a ’ s base is 20 % greater than the base of triangle b , and a ’ s height is 20 % 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 ) 0.25 % less', 'b ) 1 % less', 'c ) equal to each other', 'd ) 1 % more', 'e ) 9 % more']
Output: a
Problem: the sides of a square region , measured to the nearest centimeter , are 7 centimeters long . the least possible value of the actual area of the square region is 
Options: ['a ) 42.25 sq cm', 'b ) 45.25 sq cm', 'c ) 43.25 sq cm', 'd ) 50.25 sq cm', 'e ) 52.25 sq cm']
Output: a
Problem: find the smallest number which should be multiplied with 13225 to make it a perfect square . 
Options: a ) 25 , b ) 5 , c ) 1 , d ) 23 , e ) 6
Output: c
Problem: what is the area of a square field whose diagonal of length 18 m ? 
Options: a ) 120 sq m , b ) 250 sq m , c ) 200 sq m , d ) 180 sq m , e ) 100 sq m
Output: d
Problem: by combining number of small cubes , a larger cube is produced . the ratio between volume of larger cube and small cube is 1000 : 8 then how many small cubes are required to produce a larger cube ? 
Options: ['a ) 100', 'b ) 2', 'c ) 5', 'd ) 125', 'e ) 80']
Output: d
Problem: a rectangular wall is covered entirely with two kinds of decorative tiles : regular and jumbo . 1 / 3 of the tiles are jumbo tiles , which have a length three times that of regular tiles and have the same ratio of length to width as the regular tiles . if regular tiles cover 40 square feet of the wall , and no tiles overlap , what is the area of the entire wall ? 
Options: a ) 160 , b ) 220 , c ) 360 , d ) 440 , e ) 560
Output: b
Problem: a box measuring 24 inches long by 40 inches wide by 16 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 ) 28 , b ) 30 , c ) 32 , d ) 35 , e ) 37
Output: b
Problem: each of the 42 points is placed either inside or on the surface of a perfect sphere . if 65 % or fewer of the points touch the surface , what is the maximum number of segments which , if connected from those points to form chords , could be the diameter of the sphere ? 
Options: a ) 7 , b ) 11 , c ) 13 , d ) 23 , e ) 38
Output: c
Problem: a crate measures 2 feet by 8 feet by 12 feet on the inside . a stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides . what is the radius , in feet , of the pillar with the largest volume that could still fit in the crate ? 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 12
Output: a
Problem: in measuring the sides of a rectangle , one side is taken 12 % in excess and other 5 % in deficit . find the error percentage in the area calculated from these measurements . 
Options: a ) 3.5 % , b ) 6.4 % , c ) 3 % , d ) 5 % , e ) 2.6 %
Output: b
Problem: the perimeter of one square is 48 cm and that of another is 36 cm . find the perimeter and the diagonal of a square which is equal in area to these two combined ? 
Options: a ) 13 √ 4 , b ) 13 √ 2 , c ) 23 √ 2 , d ) 12 √ 4 , e ) 15 √ 2
Output: e
Problem: a rectangular table , kept against a wall has a three sides free and the wall along the fourth side . the side opposite the wall is twice the length of each of the other two free sides . if the area of the rectangular table is 128 square feet , what is the total length of the table free sides , in feet ? 
Options: ['a ) 4', 'b ) 8', 'c ) 16', 'd ) 32', 'e ) 64']
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 ) 50 cm
Output: c
Problem: a rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 2 per sq m ? 
Options: a ) 2288 , b ) 2779 , c ) 2779 , d ) 3900 , e ) 2600
Output: e
Problem: the percentage increase in the area of a rectangle , if each of its sides is increased by 20 % 
Options: a ) 33 , b ) 37 , c ) 44 , d ) 99 , e ) 277
Output: c
Problem: it is decided to construct a 2 metre broad pathway around a rectangular plot on the inside . if the area of the plots is 96 sq . m . and the rate of construction is rs . 50 per square metre . , what will be the total cost of the construction ? 
Options: ['a ) rs . 3500', 'b ) rs . 4200', 'c ) insufficient data', 'd ) rs . 4400', 'e ) none of these']
Output: c
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 32 inches . find b . 
Options: a ) 8 , b ) 16 , c ) 24 , d ) 32 , e ) 48
Output: d
Problem: two cylinders of the radius in the ratio 3 : 5 and heights in the ratio 10 : 9 . then find the volumes ratio ? 
Options: ['a ) 4 : 5', 'b ) 1 : 5', 'c ) 3 : 5', 'd ) 1.5 : 5', 'e ) 2 : 5']
Output: e
Problem: two right circular cylinders of equal volumes have their heights in the ratio 1 : 2 . find the ratio of their radii . 
Options: ['a ) √ 3 : 1', 'b ) √ 7 : 1', 'c ) √ 2 : 1', 'd ) 2 : 1', 'e ) 3 : 1']
Output: c
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 30,000 and at the same time n is a perfect square and a perfect cube ? 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Output: b
Problem: a farmer built a fence around his square plot . he used 27 fence poles on each side of the square . how many poles did he need altogether ? 
Options: ['a ) 100', 'b ) 104', 'c ) 108', 'd ) 112', 'e ) none of these']
Output: b
Problem: the dimensions of a room are 25 feet * 15 feet * 12 feet . what is the cost of white washing the four walls of the room at rs . 7 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 . 4538 , b ) s . 6342 , c ) s . 4518 , d ) s . 4530 , e ) s . 4517
Output: b
Problem: some people are standing square . from them 32 are removed and then form a small square and then 8 more removed . now we can not form the square . so how many people are there at the beginning ? 
Options: a ) 31 , b ) 32 , c ) 33 , d ) 34 , e ) ca n ' t be determined
Output: e
Problem: the length of a rectangle is twice its breadth . if its lengthis decreased by 5 cm & 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 ) 25 cm , b ) 30 cm , c ) 40 cm , d ) 45 cm , e ) 60 cm
Output: c
Problem: a rectangular field is to be fenced on three sides leaving a side of 10 feet uncovered . if the area of the field is 600 sq . ft , how many feet of fencing will be required ? 
Options: a ) 130 feet , b ) 22 feet , c ) 20 feet , d ) 15 feet , e ) 10 feet
Output: a
Problem: the base of pyramid p is an isosceles right triangle whose leg is 3 . if the height of p is 4 , what is the volume of p ? 
Options: ['a ) 36', 'b ) 18', 'c ) 12', 'd ) 8', 'e ) 6']
Output: e
Problem: an artist wishes to paint a circular region on a square poster that is 3 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 ) sqrt ( 4.5 / pi ) , d ) 2 / sqrt ( pi ) , e ) pi / 2
Output: c
Problem: a clock hangs on the wall of a railway station , 71 ft 9 in long and 10 ft 4 in high . those are the dimension of the wall , not the clock ! while waiting for a train we noticed that the hands of the clock were pointing in opposite directions , and were parallel to one of the diagonals of the wall , what was the exact time ? 
Options: ['a ) 7 : 15', 'b ) 7 : 5', 'c ) 7 : 25', 'd ) 7 : 45', 'e ) 7 : 55']
Output: b
Problem: the sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 420 m , its area is ? 
Options: a ) 150 , b ) 882 , c ) 277 , d ) 210 , e ) 281
Output: d
Problem: how many 1 x 1 x 1 cubes can you fit in a 15 x 16 x 13 box ? 
Options: ['a ) 3,200', 'b ) 3,150', 'c ) 3,448', 'd ) 3,120', 'e ) 2,980']
Output: d
Problem: if the sides of a square are multiplied by sqrt ( 5 ) , the area of the original square is how many times as large as the area of the resultant square ? 
Options: ['a ) 5 %', 'b ) 20 %', 'c ) 50 %', 'd ) 100 %', 'e ) 120 %']
Output: b
Problem: the perimeter of a rhombus is 68 cm and one of its diagonals is 16 cm . find its area ? 
Options: a ) 290 , b ) 240 , c ) 2870 , d ) 289 , e ) 292
Output: b
Problem: some students are standing in a circle in which 6 th and the 16 th student are standing opposite to each other . find how many students were present there . 
Options: ['a ) 10', 'b ) 15', 'c ) 20', 'd ) 25', 'e ) 30']
Output: c
Problem: a rectangular lawn of dimensions 80 m * 60 m has two roads each 15 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 3 per sq m ? 
Options: a ) a ) 3820 , b ) b ) 930 , c ) c ) 9309 , d ) d ) 3900 , e ) e ) 5625
Output: e
Problem: a crate measures 6 feet by 8 feet by 12 feet on the inside . a stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides . what is the radius , in feet , of the pillar with the largest volume that could still fit in the crate ? 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 12
Output: c
Problem: find the volume and surface area of a cuboid 16 m long , 14 m broad and 7 m high . 
Options: ['a ) 878 cm ^ 2', 'b ) 858 cm ^ 2', 'c ) 838 cm ^ 2', 'd ) 868 cm ^ 2', 'e ) none of them']
Output: d
Problem: two equilateral triangle of side 12 cm are placed one on top another , such a 6 pionted star is formed if the six vertices lie on a circle what is the area of the circle not enclosed by the star ? 
Options: ['a ) 21', 'b ) 88937', 'c ) 269', 'd ) 279', 'e ) 2701']
Output: a
Problem: the ratio of the volumes of two cubes is 2197 : 1331 . what is the ratio of their total surface areas ? 
Options: a ) 169 : 121 , b ) 169 : 127 , c ) 169 : 191 , d ) 121 : 169 , e ) 121 : 182
Output: a
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 . 1170 . the perimeter of the plot is ? 
Options: a ) 126 , b ) 156 , c ) 180 , d ) 321 , e ) 260
Output: c
Problem: a semicircular shaped window has diameter of 63 cm . its perimeter equals 
Options: ['a ) 162', 'b ) 766', 'c ) 298', 'd ) 277', 'e ) 198']
Output: a
Problem: the perimeter of one square is 48 cm and that of another is 24 cm . find the perimeter and the diagonal of a square which is equal in area to these two combined ? 
Options: a ) 13 √ 4 , b ) 13 √ 2 , c ) 13.4 √ 2 , d ) 12 √ 4 , e ) 13 √ 9
Output: c
Problem: the length of a rectangle is reduced by 22 % . by what % would the width have to be increased to maintainthe original area ? 
Options: a ) 15 % , b ) 20 % , c ) 28 % , d ) 35 % , e ) 40 %
Output: c
Problem: what is the angle between the hands of a clock when time is 8 : 40 ? 
Options: a ) 65 deg , b ) 75 deg , c ) 45 deg , d ) 15 deg , e ) 100 deg
Output: e
Problem: the volume of the sphere qq is ( dfrac { 37 } { 64 } % ) less than the volume of sphere pp and the volume of sphere rr is ( dfrac { 19 } { 27 } % ) less than that of sphere qq . by what is the surface areaof sphere rr less than the surfacearea of sphere pp ? 
Options: ['a ) 50 %', 'b ) 60 %', 'c ) 75 %', 'd ) 80 %', 'e ) 89 %']
Output: c
Problem: a crate measures 7 feet by 8 feet by 12 feet on the inside . a stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides . what is the radius , in feet , of the pillar with the largest volume that could still fit in the crate ? 
Options: ['a ) 2', 'b ) 4', 'c ) 6', 'd ) 7', 'e ) 12']
Output: d
Problem: a cylindrical can has a radius of 4 centimeters and a height of 18 centimeters . what is the area , in square centimeters , of a rectangular label that completely covers the curved surface of the can without over - lapping ? 
Options: a ) 16 pi , b ) 64 pi , c ) 96 pi , d ) 144 pi , e ) 576 pi
Output: d
Problem: the base and height of a parallelogram are 12 m and 6 m respectively . then its area is = = = = = = ? 
Options: ['a ) 27 sq . m', 'b ) 126 sq . m', 'c ) 84 sq . m', 'd ) 18 sq . m', 'e ) 72 sq . m']
Output: e
Problem: a lady builds 7 cm length , 18 cm width , and 3 cm height box using 9 cubic cm cubes . what is the minimum number of cubes required to build the box ? 
Options: ['a ) 42', 'b ) 45', 'c ) 47', 'd ) 49', 'e ) 56']
Output: a
Problem: a diagonal of a polygon is an segment between two non - adjacent vertices of the polygon . how many diagonals does a regular 40 - sided polygon have ? 
Options: a ) 875 , b ) 740 , c ) 1425 , d ) 2025 , e ) 2500
Output: b
Problem: approximately how many cubic feet of water are needed to fill a circular swimming pool that is 60 feet across and 6 feet deep ? 
Options: a ) 900 , b ) 4000 , c ) 10000 , d ) 17000 , e ) 25000
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 w covered by the two roads ? 
Options: a ) 400 , b ) 1550 , c ) 1575 , d ) 1600 , e ) 1625
Output: c
Problem: find the area of the square , one of whose diagonals is 3.8 m long ? 
Options: ['a ) 7.22 m ^ 2', 'b ) 3.86 m ^ 2', 'c ) 8.96 m ^ 2', 'd ) 2.68 m ^ 2', 'e ) 7.89 m ^ 2']
Output: a
Problem: volume of a right circular cylinder is 6 o l . if radius of cylinder is doubled , then what will be the increase in volume ? 
Options: ['a ) 120 l', 'b ) 180 l', 'c ) 240 l', 'd ) 300 l', 'e ) 360 l']
Output: b
Problem: the ratio of the volumes of two cubes is 6859 : 1331 . what is the ratio of their total surface areas ? 
Options: a ) 1 : 21 , b ) 12 : 7 , c ) 1 : 15 , d ) 21 : 17 , e ) 13 : 13
Output: b
Problem: a square with sides of 15 units each . what would be the area of the square . consider a square as a combination of two right angled triangles . 
Options: ['a ) 100', 'b ) 256', 'c ) 225', 'd ) 81', 'e ) 144']
Output: c
Problem: there are 60 slots around a circle , numbered 1 to 60 . a man starts fromthe first slot and jumps to the 5 th slot . from there he jumps to the 9 th slot andso on . in which slot will he land in his 2200 th jump ? 
Options: ['a ) 1', 'b ) 5', 'c ) 41', 'd ) 45', 'e ) 46']
Output: c
Problem: a math teacher has 32 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 ) 15
Output: e
Problem: if the area of a square with sides of length 3 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 ) 3 , b ) 8 , c ) 12 , d ) 16 , e ) 18
Output: a
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 45 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: d
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 810 sq . feet , how many feet of fencing will be required ? 
Options: a ) 34 , b ) 40 , c ) 68 , d ) 84 , e ) none
Output: d
Problem: find the area of a parallelogram with base 20 cm and height 16 cm ? 
Options: a ) 198 cm 2 , b ) 320 cm 2 , c ) 279 cm 2 , d ) 128 cm 2 , e ) 297 cm 2
Output: b
Problem: find the area of a parallelogram with base 32 cm and height 22 cm ? 
Options: a ) 281 , b ) 284 , c ) 704 , d ) 640 , e ) 920
Output: c
Problem: the percentage increase in the area of rectangle , if each of its side is increased by 10 % is ? 
Options: a ) 21 % , b ) 30 % , c ) 25 % , d ) 40 % , e ) 50 %
Output: a
Problem: the area of a triangle will be when a = 3 m , b = 5 m , c = 10 m , a , b , c being lengths of respective sides ? 
Options: a ) 3 , b ) 6 , c ) 4 , d ) 9 , e ) 1
Output: d
Problem: a rectangular block 6 cm by 12 cm by 15 cm is cut into an exact number of equal cubes . find the least possible number of cubes ? 
Options: a ) 20 , b ) 25 , c ) 40 , d ) 50 , e ) 35
Output: c
Problem: in the rectangular coordinate system point o has coordinates ( 0,0 ) and point b has coordinates ( 5,5 ) and if point a is equidistant from points o and b and the area of the triangle oab is 16 , which of the following are the possible coordinates of point a . 
Options: ['a ) ( - 2,6 )', 'b ) ( 0,4 )', 'c ) ( 2 , - 6 )', 'd ) ( 2,6 )', 'e ) ( 4,0 )']
Output: d
Problem: the area of a triangle will be when a = 1 m , b = 4 m , c = 5 m , a , b , c being lengths of respective sides ? 
Options: a ) 2 , b ) 7 , c ) 5 , d ) 3 , e ) 4
Output: c
Problem: the area of a square is equal to four times the area of a rectangle of dimensions 25 cm * 16 cm . what is the perimeter of the square ? 
Options: a ) 80 cm , b ) 100 cm , c ) 120 cm , d ) 140 cm , e ) 160 cm
Output: e
Problem: spheres a and b have their radil 40 cm and 10 cm respectively . the ratio of the surface area of a to the surface area of b is 
Options: ['a ) 1 : 4', 'b ) 1 : 16', 'c ) 4 : 1', 'd ) 16 : 1', 'e ) none']
Output: d
Problem: what will be the cost of building a fence around a square plot with area equal to 81 sq ft , if the price per foot of building the fence is rs . 58 ? 
Options: a ) 3944 , b ) 2287 , c ) 2977 , d ) 2088 , e ) 1298
Output: d
Problem: the area of a triangle is with base 2 m and height 5 m ? 
Options: a ) 11 , b ) 10 , c ) 787 , d ) 122 , e ) 5
Output: e
Problem: what is the measure of the angle x 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: if the area of a square with sides of length 7 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 ) 13 , e ) 18
Output: d
Problem: the perimeter of a triangle is 40 cm and the in radius of the triangle is 2.5 cm . what is the area of the triangle ? 
Options: a ) 76 , b ) 88 , c ) 66 , d ) 55 , e ) 50
Output: e
Problem: the diagonals of a rhombus are 15 cm and 21 cm . find its area ? 
Options: a ) 277 , b ) 266 , c ) 150 , d ) 288 , e ) 157.5
Output: e
Problem: the radius of a cylinder is 6 m , height 21 m . the total surface area of the cylinder is ? 
Options: a ) 525 , b ) 528 , c ) 522 , d ) 529 , e ) 521
Output: b
Problem: rectangular tile each of size 25 cm by 16 cm must be laid horizontally on a rectangular floor of size 180 cm by 120 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 ) 52 , b ) 54 , c ) 55 , d ) 65 , e ) 48
Output: b
Problem: the breadth of a rectangular hall is two - thirds of its length . if the area of the hall is 2400 sq metres , what is the length in metres ? 
Options: ['a ) 120', 'b ) 80', 'c ) 60', 'd ) 40', 'e ) none of these']
Output: c