niryuu/sni-each-converted huggingface dataset:
Problem: the parameter of a square is equal to the perimeter of a rectangle of length 9 cm and breadth 6 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 ) 11.72 , b ) 11.52 , c ) 11.97 , d ) 10.91 , e ) 11.79
Output: e
Problem: a rectangular tiled patio is composed of 50 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 50 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: mr . loyd wants to fence his square shaped land of 130 sqft each side . if a pole is laid every 10 ft how many poles do he need ? 
Options: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 52
Output: e
Problem: rectangular tile each of size 50 cm by 40 cm must be laid horizontally on a rectangular floor of size 120 cm by 150 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 ) 9 , b ) 15 , c ) 12 , d ) 11 , e ) 10
Output: a
Problem: the width of a rectangular hall is ½ of its length . if the area of the hall is 128 sq . m , what is the difference between its length and breadth ? 
Options: a ) 8 m , b ) 10 m , c ) 12 m , d ) 15 m , e ) 17 m
Output: a
Problem: in the xy - plane , a triangle has vertices ( 00 ) , ( 40 ) and ( 410 ) . if a point ( a , b ) is selected at random from the triangular region , what is the probability that a - b > 0 ? 
Options: a ) 1 / 5 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 2 / 5
Output: e
Problem: the circumferences of two circles are 264 meters and 352 meters . find the difference between the areas of the larger and the smaller circles . 
Options: a ) 3312 , b ) 2888 , c ) 4312 , d ) 2881 , e ) 1221
Output: c
Problem: if the area of a circle decreases by 36 % , then the radius of a circle decreases by 
Options: a ) 20 % , b ) 18 % , c ) 36 % , d ) 64 % , e ) none of these
Output: a
Problem: what is the measure of the radius of the circle inscribed in a triangle whose sides measure 8 , 15 and 21 units ? 
Options: a ) 8.5 units , b ) 2.6 units , c ) 3 units , d ) 5 units , e ) 12 units
Output: b
Problem: the pressure someone experiences as he or she dives deeper and deeper in the ocean increases linearly . on the surface , the pressure is close to 15 pounds per square inch . 33 feet below the surface , the pressure is 30 pounds . if 25000 pounds per sq inch can crush your bones , what depth is extremely dangerous for humans ? 
Options: ['a ) 55522 feet', 'b ) 45522 feet', 'c ) 35522 feet', 'd ) 25522 feet', 'e ) none']
Output: a
Problem: 34 . the side surface of a cylinder is rolled with a rectangular plate . if the height of a cylinder tank is 10 feet and the perimeter of the circular base is 4 feet , what is the area of the rectangular plate ? 
Options: a ) 24 , b ) 34 , c ) 28 , d ) 40 , e ) 14
Output: d
Problem: you buy a piece of land with an area of â ˆ š 1600 , how long is one side of the land plot ? 
Options: a ) 28 , b ) 40 , c ) 30 , d ) 31 , e ) 32
Output: b
Problem: in a certain parallelogram the degree measure of one angle exceeds that of the other by 10 what is the degree measure of the smaller angle ? 
Options: a ) 75 , b ) 80 , c ) 85 , d ) 90 , e ) 95
Output: c
Problem: the area of the maximum size of the circle described from the 10 inch square ? 
Options: ['a ) 75.5 sq inch', 'b ) 76.5 sq inch', 'c ) 77.5 sq inch', 'd ) 78.5 sq inch', 'e ) 79.5 sq inch']
Output: d
Problem: a 9 by 12 rectangle is inscribed in circle . what is the circumference of the circle ? 
Options: a ) 2.5 π , b ) 5 π , c ) 10 π , d ) 12.5 π , e ) 15 π
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 75 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 ) 80 % , c ) 145 % , d ) 150 % , e ) 180 %
Output: c
Problem: the ratio of the volumes of two cubes is 9261 : 12167 . what is the ratio of their total surface areas ? 
Options: a ) 1 : 12 , b ) 85 : 31 , c ) 51 : 45 , d ) 58 : 67 , e ) 53 : 58
Output: e
Problem: the size of a flat - screen television is given as the length of the screen ’ s diagonal . how many square inches greater is the screen of a square 21 - inch flat - screen television than a square 19 - inch flat - screen television ? 
Options: a ) 42 , b ) 40 , c ) 38 , d ) 36 , e ) 48
Output: b
Problem: paper charge is rs . 60 per kg . how much expenditure would be there to cover a cube of edge 10 m with a paper , if one kg of paper covers 20 sq . m . area ? 
Options: ['a ) rs . 2250', 'b ) rs . 3600', 'c ) rs . 2700', 'd ) rs . 1800', 'e ) none of these']
Output: d
Problem: the surface area of a sphere is 4 π r ^ 2 , where r is the radius of the sphere . if the surface area of sphere a is eight times as large as the surface area of sphere b , then the radius of sphere a is how many times the radius of sphere b ? 
Options: ['a ) 2', 'b ) 2 √ 2', 'c ) 4', 'd ) 2 π', 'e ) π · √ 8']
Output: b
Problem: a rectangular block 10 cm by 20 cm by 35 cm is cut into an exact number of equal cubes . find the least possible number of cubes ? 
Options: a ) 6 , b ) 56 , c ) 15 , d ) 40 , e ) 22
Output: b
Problem: a room is a square of side 50 feet . a second room is of area 100 square yards . a third room is of area 200 square feet . which of these can seat maximum people ? ( hint : 1 yard = 3 feet ) 
Options: a ) 200 sq feet , b ) 300 sq feet , c ) 400 sq feet , d ) 500 sq feet , e ) 600 sq feet
Output: a
Problem: a cube has a volume of 216 cubic feet . if a similar cube is twice as long , twice as wide , and twice as high , then the volume , in cubic feet of such cube is ? 
Options: a ) 24 , b ) 1728 , c ) 64 , d ) 80 , e ) 100
Output: b
Problem: the number 110 can be written as sum of the squares of 3 different positive integers . what is the sum of these 3 different integers ? 
Options: a ) 10 , b ) 12 , c ) 18 , d ) 14 , e ) 17
Output: c
Problem: the radius of a sphere is increased by 10 % . the surface area increases by ? 
Options: ['a ) 21 %', 'b ) 31 %', 'c ) 41 %', 'd ) 51 %', 'e ) none of these']
Output: a
Problem: in a rectangular coordinate system , what is the area of a rectangle whose vertices have the coordinates ( - 8 , 1 ) , ( 1 , 1 ) , ( 1 , - 7 and ( - 8 , - 7 ) ? 
Options: a ) 144 , b ) 36 , c ) 72 , d ) 56 , e ) 112
Output: c
Problem: the length and the breadth of a rectangle are in the ratio of 3 : 2 respectively . if the sides of the rectangle are extended on each side by 1 metre , the ratio of length to breadth becomes 10 : 7 . find the area of the original rectangle in square metres . 
Options: ['a ) 256', 'b ) 150', 'c ) 280', 'd ) data inadequate', 'e ) none of these']
Output: e
Problem: a rectangular tank needs to be coated with insulation . the tank has dimensions of 4 feet , 5 feet , and 3 feet . each square foot of insulation costs $ 20 . how much will it cost to cover the surface of the tank with insulation ? 
Options: a ) $ 1220 , b ) $ 1330 , c ) $ 1550 , d ) $ 1770 , e ) $ 1880
Output: e
Problem: the largest four - digit number which is a perfect cube , is 
Options: ['a ) 8000', 'b ) 9261', 'c ) 9999', 'd ) none of these', 'e ) can not be determined']
Output: b
Problem: the radius of a cone is 49 m , slant height is 35 m . find the curved surface area ? 
Options: a ) 5160 , b ) 5390 , c ) 6430 , d ) 6720 , e ) 7280
Output: b
Problem: the area of a square garden is a square feet and the perimeter is p feet . if a = 2 p + 20 , what is the perimeter of the garden , in feet ? 
Options: a ) 28 , b ) 36 , c ) 40 , d ) 56 , e ) 64
Output: c
Problem: a 25 cm wide path is to be made around a circular garden having a diameter of 4 meters . approximate area of the path is square meters is 
Options: ['a ) 3.34', 'b ) 3.36', 'c ) 3.34', 'd ) 6.32', 'e ) 3.31']
Output: a
Problem: the area of a circular field is 17.56 hectares . find the cost of fencing it at the rate of rs . 3 per metre approximately 
Options: ['a ) 4457', 'b ) 4567', 'c ) 4235', 'd ) 4547', 'e ) 4675']
Output: a
Problem: what is the area of a square field whose diagonal of length 10 m ? 
Options: a ) 50 , b ) 70 , c ) 60 , d ) 20 , e ) 25
Output: a
Problem: a semicircle has a radius of 20 . what is the approximate perimeter of the semicircle ? 
Options: a ) 50 , b ) 25 , c ) 86 , d ) 75 , e ) 102
Output: e
Problem: mark has a rectangular driveway with a line painted diagonally across . the length of the driveway is 5 feet longer than its width . if the total area of the driveway is 36 square feet , what is the length of the painted line ( in feet ) ? 
Options: ['a ) between 9 and 10', 'b ) between 10 and 11', 'c ) between 11 and 12', 'd ) between 12 and 13', 'e ) between 13 and 14']
Output: a
Problem: if the sides of a triangle are 28 cm , 26 cm and 12 cm , what is its area ? 
Options: a ) 120 cm 2 , b ) 156 cm 2 , c ) 178 cm 2 , d ) 189 cm 2 , e ) 176 cm 2
Output: b
Problem: an order was placed for a carpet whose length and width were in the ratio of 3 : 2 . subsequently , the dimensions of the carpet were altered such that its length and width were in the ratio 3 : 1 but were was no change in its perimeter . what is the ratio of the areas of the carpets ? 
Options: a ) 12 : 7 , b ) 15 : 11 , c ) 25 : 16 , d ) 30 : 23 , e ) 32 : 25
Output: e
Problem: a horse is tethered to one corner of a rectangular grassy field 36 m by 20 m with a rope 18 m long . over how much area of the field can it graze ? 
Options: a ) 154 cm 2 , b ) 308 m 2 , c ) 254 m 2 , d ) 260 m 2 , e ) none of these
Output: c
Problem: in a rectangular axis system , what is the area of a parallelogram with the coordinates : ( 4,4 ) , ( 7,4 ) , ( 5,9 ) , ( 8,9 ) ? 
Options: ['a ) 21 .', 'b ) 28 .', 'c ) 5 .', 'd ) 49 .', 'e ) 52 .']
Output: c
Problem: the length of a rectangular garden is three times its width . if the area of the rectangular garden is 675 square meters , then what is the width of the rectangular garden ? 
Options: a ) 14 , b ) 15 , c ) 16 , d ) 17 , e ) 18
Output: b
Problem: if d is the smallest positive integer such that 3,150 multiplied by d is the square of an integer , then d must be 
Options: ['a ) 2', 'b ) 5', 'c ) 6', 'd ) 7', 'e ) 14']
Output: e
Problem: if the diameter of circle r is 40 % of the diameter of circle s , the area of circle r is what percent of the area of circle s ? 
Options: a ) 16 % , b ) 18 % , c ) 20 % , d ) 22 % , e ) 24 %
Output: a
Problem: find the area of a parallelogram with base 36 cm and height 18 cm ? 
Options: a ) 287 cm 2 , b ) 887 cm 2 , c ) 384 cm 2 , d ) 268 cm 2 , e ) 648 cm 2
Output: e
Problem: in an electric circuit , two resistors with resistances 3 ohm and 5 ohm are connected in parallel . in this case , if r is the combined resistance of these two resistors , then the reciprocal of r is equal to the sum of the reciprocals of two resistors . what is the value ? 
Options: ['a ) 15 ohms', 'b ) 15 / 8 ohms', 'c ) 1 / 8 ohms', 'd ) 8 / 15 ohms', 'e ) 8 ohms']
Output: b
Problem: a rectangle a has an area of 30 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 / 30', 'b ) 14 / 30', 'c ) 4 / 9', 'd ) 3 / 5', 'e ) 6 / 25']
Output: b
Problem: pr is tangent to a circle at point p . q is another point on circle such that pq is diameter of circle and rq cuts circle at m . if radius of circle is 4 units and pr = 6 units . find ratio of triangle pmr to pqr . 
Options: ['a ) 11 / 20', 'b ) 3 / 5', 'c ) 13 / 20', 'd ) 18 / 25', 'e ) 18 / 26']
Output: c
Problem: the ratio of the volumes of two cubes is 1728 : 2197 . what is the ratio of their total surface areas ? 
Options: a ) 12 : 18 , b ) 144 : 169 , c ) 44 : 22 , d ) 28 : 144 , e ) 96 : 12
Output: b
Problem: in a rectangular coordinate system , what is the area of a rectangle whose vertices have the coordinates ( - 3 , 1 ) , ( 1 , 1 ) , ( 1 , - 2 ) and ( - 3 , - 2 ) ? 
Options: a ) 12 , b ) 24 , c ) 20 , d ) 30 , e ) 36
Output: a
Problem: a rectangular region has a fence along three sides and a wall along the fourth side . the fenced side opposite the wall is twice the length of each of the other two fenced sides . if the area of the rectangular region is 200 square feet , what is the total length of the fence , in feet ? 
Options: ['a ) 10', 'b ) 20', 'c ) 30', 'd ) 40', 'e ) 80']
Output: d
Problem: the length of a rectangle is 2 times its width . if the width of the rectangle is 5 inches , what is the rectangle ' s area , in square inches ? 
Options: ['a ) 50 square inches', 'b ) 75 square inches', 'c ) 68 square inches', 'd ) 89 square inches', 'e ) 92 square inches']
Output: a
Problem: what is the ratio between perimeters of two squares one having 8 times the diagonal then the other ? 
Options: a ) 3 : 6 , b ) 3 : 3 , c ) 3 : 8 , d ) 8 : 1 , e ) 3 : 2
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 16 cm 2 . find the lengths of all sides . 
Options: a ) 10 and 3 , b ) 9 and 6 , c ) 10 and 7 , d ) 3 and 10 , e ) 10 and 10
Output: b
Problem: if the diameter of circle r is 20 % of the diameter of circle s , the area of circle r is what percent of the area of circle s ? 
Options: a ) 5 % , b ) 10 % , c ) 15 % , d ) 14 % , e ) 4 %
Output: e
Problem: the area of a circular field is 13.86 hectares . find the cost of fencing it at the rate of rs . 4.80 per metre . 
Options: a ) 2399 , b ) 6336 , c ) 2999 , d ) 5808 , e ) 2888
Output: b
Problem: a metallic sheet is of rectangular shape with dimensions 48 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m 3 ) is 
Options: a ) 3220 , b ) 4830 , c ) 5120 , d ) 6420 , e ) none
Output: c
Problem: the perimeter of a rectangle is equal to 280 meters . the ratio of its length to its width is 5 : 2 . find the area of the rectangle . 
Options: ['a ) 400 square meters', 'b ) 4000 square meters', 'c ) 20 square meters', 'd ) 2000 square meters', 'e ) 1000 square meters']
Output: b
Problem: the area of a triangle is with base 5.5 m and height 6 m ? 
Options: a ) 11 m 2 , b ) 16.5 m 2 , c ) 18.5 m 2 , d ) 19.5 m 2 , e ) 12 m 2
Output: b
Problem: a rectangular field has a length 10 meters more than it is width . if the area of the field is 231 , what is the length ( in meters ) of the rectangular field ? 
Options: a ) 21 , b ) 23 , c ) 25 , d ) 27 , e ) 29
Output: a
Problem: the curved surface area of a cylindrical pillar is 264 sq . m and its volume is 924 cub . m . find the ratio of its diameter to its height 
Options: ['a ) 7 : 9', 'b ) 7 : 3', 'c ) 7 : 7', 'd ) 7 : 6', 'e ) 7 : 1']
Output: b
Problem: what will be the cost of building a fence around a square plot with area equal to 289 sq ft , if the price per foot of building the fence is rs . 57 ? 
Options: a ) 3944 , b ) 920 , c ) 7290 , d ) 3876 , e ) 3729
Output: d
Problem: the area of a triangle will be when a = 5 m , b = 7 m , c = 8 m , a , b , c being lengths of respective sides ? 
Options: a ) 3 , b ) 6 , c ) 4 , d ) 9 , e ) 10
Output: e
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 w 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: what is the smallest positive integer x such that 108 x is the cube of a positive integer ? 
Options: a ) 2 , b ) 4 , c ) 8 , d ) 10 , e ) 7
Output: a
Problem: what is the diagonal of a square field whose perimeter is 64 m ? 
Options: a ) 15 m , b ) 16 √ 2 m , c ) 20 m , d ) 25 m , e ) 18 m
Output: b
Problem: the length and breadth of a rectangle is increased by 11 % and 22 % respectively . what is the increase in the area ? 
Options: a ) 35.22 , b ) 33.52 , c ) 35.42 , d ) 36.22 , e ) 38.42
Output: c
Problem: a rectangular plot 15 m × 10 m , has a path of grass outside it . if the area of grassy pathway is 54 m 2 , find the width of the path . 
Options: ['a ) 4 m', 'b ) 3 m', 'c ) 2 m', 'd ) 1 m', 'e ) none of these']
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 2.4 km / hr ? 
Options: ['a ) 2 min', 'b ) 3 min', 'c ) 4 min', 'd ) 5 min', 'e ) 6 min']
Output: b
Problem: what is the smallest number by which 3600 be divided to make it a perfect cube ? 
Options: ['a ) 9', 'b ) 50', 'c ) 300', 'd ) 450', 'e ) 550']
Output: d
Problem: the length of a rectangle is two third of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 4761 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 13 units ? 
Options: ['a ) 598 sq . units', 'b ) 556 sq . units', 'c ) 589 sq . units', 'd ) 958 sq . units', 'e ) 985 sq . units']
Output: a
Problem: a semicircular cubicle has a radius of 14 . what is the approximate perimeter of the cubicle ? 
Options: ['a ) 55', 'b ) 86', 'c ) 25', 'd ) 72', 'e ) 35']
Output: d
Problem: if the sides of a cube are in the ratio 9 : 5 . what is the ratio of their diagonals ? 
Options: a ) 9 : 5 , b ) 16 : 9 , c ) 4 : , d ) 3 : 4 , e ) 3 : 8
Output: a
Problem: a rectangular box of volume v has width , depth and height in the ratio of 2 : 1 : 3 ( in that order ) . what is the height as a function of v ? 
Options: ['a ) ( v / 2 ) ^ ( 1 / 3 )', 'b ) ( 2 v / 6 ) ^ ( 1 / 3 )', 'c ) ( 9 v / 2 ) ^ ( 1 / 3 )', 'd ) ( 4 v / 3 ) ^ ( 1 / 3 )', 'e ) ( 4 v / 2 ) ^ ( 1 / 3 )']
Output: c
Problem: the circumferences of two circles are 264 meters and 704 meters . find the difference between the areas of the larger and the smaller circles ? 
Options: a ) 29960 sq m , b ) 33880 sq m , c ) 43120 sq m , d ) 27680 sq m , e ) 12786 sq m
Output: b
Problem: in the coordinate plane , a circle centered on point ( - 3 , 4 ) passes through point ( 1 , 1 ) . what is the area of the circle ? 
Options: a ) 9 π , b ) 18 π , c ) 25 π , d ) 37 π , e ) 41 π
Output: c
Problem: a rectangular floor that measures 6 meters by 8 meters is to be covered with carpet squares that each measure 2 meters by 2 meters . if the carpet squares cost $ 12 apiece , what is the total cost for the number of carpet squares needed to cover the floor ? 
Options: a ) $ 200 , b ) $ 240 , c ) $ 480 , d ) $ 960 , e ) $ 144
Output: e
Problem: what will be the cost of gardening 1 meter boundary around a rectangular plot having perimeter of 340 meters at the rate of rs . 10 per square meter ? 
Options: ['a ) rs . 3430', 'b ) rs . 3440', 'c ) rs . 3450', 'd ) rs . 3460', 'e ) rs . 3490']
Output: b
Problem: the ratio of the volumes of two cubes is 1000 : 3375 . what is the ratio of their total surface areas ? 
Options: a ) 81 : 121 , b ) 4 : 9 , c ) 729 : 1331 , d ) 27 : 121 , e ) none of these
Output: b
Problem: a circular wire of radius 42 cm is cut and bent into the form of a rectangle whose sides are in the ratio of 6 : 5 . the smaller side of the rectangle is : 
Options: ['a ) 30 cm', 'b ) 60 cm', 'c ) 72 cm', 'd ) 132 cm .', 'e ) 142 cm .']
Output: b
Problem: a 45 ° - 45 ° - 90 ° right triangle has hypotenuse of length h . what is the area of the triangle r in terms of h ? 
Options: ['a ) h / √ 2', 'b ) h / 2', 'c ) h / 4', 'd ) ( h ) ^ 2', 'e ) ( h ) ^ 2 / 4']
Output: e
Problem: find the perimeter and area of the rectangle of length 17 cm and breadth 13 cm . 
Options: a ) 221 cm 2 , b ) 211 cm 2 , c ) 231 cm 2 , d ) 236 cm 2 , e ) 241 cm 2
Output: a
Problem: what is the perimeter , in meters , of a rectangular garden 16 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 ) 56 , e ) 192
Output: d
Problem: a cubic object 3 ' ' x 3 ' ' x 3 ' ' is painted blue on all the outside surfaces , including the top and bottom . if the cube is cut into 27 cubes of 1 ' ' x 1 ' ' x 1 ' ' , how many 1 ' ' cubes do have any painted surfaces ? 
Options: ['a ) 15', 'b ) 22', 'c ) 26', 'd ) 33', 'e ) 44']
Output: c
Problem: a cube of edge 5 cm is cut into cubes each of edge 1 cm . the ratio of the total surface area of one of the small cubes to that of the large cube is equal to : 
Options: ['a ) 1 : 25', 'b ) 1.225', 'c ) 1 : 52', 'd ) 1 : 522', 'e ) none']
Output: a
Problem: the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 16 cm each . the radius of the sphere is 
Options: a ) 3 cm , b ) 4 cm , c ) 6 cm , d ) 8 cm , e ) none
Output: d
Problem: the number 149 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ? 
Options: a ) 19 , b ) 16 , c ) 15 , d ) 14 , e ) 13
Output: a
Problem: perimeter of an equilateral and isosceles is 45 and 40 respectively . at least one of the sides of isosceles is equal to the equilateral . what ' s the base of isosceles triangle ? 
Options: ['a ) 7', 'b ) 8', 'c ) 9', 'd ) 10', 'e ) 11']
Output: d
Problem: the area of a parallelogram is 162 sq m and its altitude is twice the corresponding base . then the length of the base is ? 
Options: a ) 8 , b ) 9 , c ) 7 , d ) 62 , e ) 2
Output: b
Problem: abcd is a square where ab = â ˆ š 4004 . 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: b
Problem: the difference of the areas of two squares drawn on two line segments in 32 sq . cm . find the length of the greater line segment if one is longer than the other by 2 cm 
Options: ['a ) 9 cm', 'b ) 8 cm', 'c ) 7 cm', 'd ) 6 cm', 'e ) 5 cm']
Output: c
Problem: the area of a square is equal to five times the area of a rectangle of dimensions 36 cm * 20 cm . what is the perimeter of the square ? 
Options: a ) 289 cm , b ) 800 cm , c ) 829 cm , d ) 240 cm , e ) 289 cm
Output: d
Problem: the roof of an apartment building is rectangular and its length is 4 times longer than its width . if the area of the roof is 676 feet squared , what is the difference between the length and the width of the roof ? 
Options: a ) 39 . , b ) 40 . , c ) 42 . , d ) 44 . , e ) 46 .
Output: a
Problem: abcd is a square where ab = â ˆ š 4032 . 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: d
Problem: the length of a rectangle is double its width . if the length is diminished by 5 cm and the width is increased by 5 cm then its area is increased by 75 cm square . what is the length of the rectangle ? 
Options: ['a ) 20', 'b ) 30', 'c ) 40', 'd ) 56', 'e ) 65']
Output: c
Problem: what is the smallest positive integer x , such that 6000 x is a perfect cube ? 
Options: a ) 4 , b ) 6 , c ) 36 , d ) 12 , e ) 18
Output: c
Problem: a rectangular garden is to be twice as long as it is wide . if 300 yards of fencing , including the gate , will completely enclose the garden , what will be the length of the garden , in yards ? 
Options: a ) 40 , b ) 50 , c ) 60 , d ) 70 , e ) 100
Output: e
Problem: a math teacher has 24 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 ) 7 , b ) 10 , c ) 11 , d ) 12 , e ) 13
Output: a
Problem: a lamp is put on one corner of a square plot of side 50 m . it ' s light reaches 21 m . find the area of that plot that is lit by that lamp ? 
Options: ['a ) 248', 'b ) 312.5', 'c ) 346.5', 'd ) 392.5', 'e ) 424']
Output: c
Problem: a snooker tournament charges $ 40.00 for vip seats and $ 15.00 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 ) 212 , b ) 200 , c ) 220 , d ) 230 , e ) 240
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 560 sq . feet , how many feet of fencing will be required ? 
Options: a ) 34 , b ) 40 , c ) 68 , d ) 76 , e ) 92
Output: d
Problem: what will be the cost of building a fence around a circular plot with area equal to 289 sq ft , if the price per foot of building the fence is rs . 58 ? 
Options: ['a ) a ) rs . 3944', 'b ) b ) rs . 3495.28', 'c ) c ) rs . 3988', 'd ) d ) rs . 3949', 'e ) e ) rs . 3923']
Output: b
Problem: a small table has a length of 12 inches and a breadth of b inches . cubes are placed on the surface of the table so as to cover the entire surface . the maximum side of such cubes is found to be 4 inches . also , a few such tables are arranged to form a square . the minimum length of side possible for such a square is 20 inches . find b . 
Options: a ) 8 , b ) 16 , c ) 4 , d ) 32 , e ) 48
Output: c
Problem: smita was making a cube with dimensions 5 * 5 * 5 using 1 * 1 * 1 cubes . what is the number of cubes needed to make a hollow cube looking of the same shape ? 
Options: ['a ) 98', 'b ) 104', 'c ) 100', 'd ) 61', 'e ) 51']
Output: a
Problem: the parameter 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 ) 77.14 cm , b ) 25.14 cm , c ) 84.92 cm , d ) 94.94 cm , e ) 23.57 cm
Output: b
Problem: a lady grows cauliflower in her garden that is in the shape of a square . each cauliflower takes 1 square foot of area in her garden . this year , she has increased her output by 223 cauliflower when compared to last year . the shape of the area used for growing the cauliflower has remained a square in both these years . how many cauliflowers did she produce this year ? 
Options: ['a ) 12541', 'b ) 12542', 'c ) 12544', 'd ) 12545', 'e ) can not be determined']
Output: c
Problem: the area of an isosceles trapezoid with sides of length 5 and bases of length 8 and 14 is ? 
Options: a ) 22 , b ) 32 , c ) 44 , d ) 55 , e ) 56
Output: c
Problem: 108 . triangle a ’ s base is 9 % greater than the base of triangle b , and a ’ s height is 9 % 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 ) 1.3 % more , e ) 9 % more
Output: d
Problem: if the area of the equilateral triangle above is 0.75 , what is the area of the adjacent square ? 
Options: ['a ) ( √ 3 ) / 2', 'b ) √ 3', 'c ) √ 6', 'd ) 3', 'e ) 2 √ 3']
Output: b
Problem: the area of a triangle is 615 m 2 . if one of its sides is 123 metre , find the length of the perpendicular dropped on that side from opposite vertex . 
Options: ['a ) 15 metres', 'b ) 12 metres', 'c ) 10 metres', 'd ) 9 metres', 'e ) none of these']
Output: c
Problem: the ratio of the volumes of two cubes is 729 : 1000 . what is the ratio of their total surface areas ? 
Options: a ) 1 : 12 , b ) 81 : 13 , c ) 46 : 51 , d ) 86 : 16 , e ) 56 : 13
Output: c
Problem: a rectangle has 20 meter length and 15 meter breadth . find ratio between area of rectangle and square whose side is same with rectangle ' s length . 
Options: ['a ) 3 : 2', 'b ) 3 : 4', 'c ) 4 : 5', 'd ) 2 : 3', 'e ) 2 : 5']
Output: b
Problem: the perimeter of a triangle is 39 cm and the inradius of the triangle is 1.5 cm . what is the area of the triangle ? 
Options: a ) 22 , b ) 35 , c ) 77 , d ) 54 , e ) 29
Output: e
Problem: the minimum number of tiles of size 16 by 24 required to form a square by placing them adjacent to one another is 
Options: ['a ) 4 tiles', 'b ) 5 tiles', 'c ) 6 tiles', 'd ) 7 tiles', 'e ) 8 tiles']
Output: c
Problem: one side of a rectangular field is 15 m and one of its diagonal is 18 m . find the area of the field . 
Options: a ) 100 , b ) 120 , c ) 150 , d ) 148.5 , e ) none
Output: d
Problem: the area of a square field is 28808 sq m . how long will a lady take to cross the field diagonally at the rate of 7.2 km / hr ? 
Options: a ) 2.5 min , b ) 3 min , c ) 2 min , d ) 4 min , e ) 4.5 min
Output: c
Problem: what is the smallest positive integer nn such that 6,480 ∗ n √ 6,480 ∗ n is a perfect cube ? 
Options: a ) 5 , b ) 5 ^ 2 , c ) 30 , d ) 30 ^ 2 , e ) 30 ^ 4
Output: e
Problem: how many 4 x 4 x 4 cubes could fit in a 9 x 13 x 16 box ? 
Options: a ) 22 , b ) 28 , c ) 29 , d ) 31 , e ) 32
Output: c
Problem: the side of a square is increased by 15 % then how much % does its area increases ? 
Options: ['a ) 52.65', 'b ) 56.25', 'c ) 50.75', 'd ) 32.25', 'e ) 52.75']
Output: d
Problem: the diagonals of a rhombus are 11 cm and 16 cm . find its area ? 
Options: a ) 277 , b ) 266 , c ) 150 , d ) 88 , e ) 212
Output: d
Problem: a 14 meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ? 
Options: a ) 5 / 14 , b ) 3 / 14 , c ) 8 / 21 , d ) 6 / 7 , e ) 2 / 5
Output: d
Problem: the area of sector of a circle whose radius is 12 metro and whose angle at the center is 42 ° is ? 
Options: a ) 56.8 m 2 , b ) 82.9 m 2 , c ) 52.8 m 2 , d ) 17.9 m 2 , e ) 72.9 m 2
Output: c
Problem: a certain rectangular crate measures 6 feet by 8 feet by 10 feet . a cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces . what should the radius of the tank be if it is to be of the largest possible volume ? 
Options: a ) 4 , b ) 4 , c ) 6 , d ) 8 , e ) 10
Output: b
Problem: nitin ' s age was equal to square of some number last year and the following year it would be cube of a number . if again nitin ' s age has to be equal to the cube of some number , then for how long he will have to wait ? 
Options: ['a ) 10 years', 'b ) 38 years', 'c ) 39 years', 'd ) 64 years', 'e ) 44 years']
Output: b
Problem: rectangular tile each of size 45 cm by 50 cm must be laid horizontally on a rectangular floor of size 250 cm by 180 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 ) 35 , b ) 40 , c ) 25 , d ) 18 , e ) 20
Output: e
Problem: in measuring the sides of a rectangle , one side is taken 5 % in excess and the other 4 % in deficit . find the error percent in the area , calculate from the those measurements . 
Options: a ) 0.9 % , b ) 0.8 % , c ) 0.3 % , d ) 0.2 % , e ) 0.5 %
Output: b
Problem: the length of a rectangular plot is thrice its width . if the area of the rectangular plot is 432 sq meters , then what is the width ( in meters ) of the rectangular plot ? 
Options: ['a ) 10', 'b ) 11', 'c ) 12', 'd ) 13', 'e ) 14']
Output: c
Problem: if the difference between the length and breadth of a rectangle is 23 m and its perimeter is 186 m , what is its area ? 
Options: a ) 2510 , b ) 2535 , c ) 2530 , d ) 2030 , e ) 2520
Output: d
Problem: a lady builds 12 cm length , 16 cm width , and 6 cm height box using 3 cubic cm cubes . what is the minimum number of cubes required to build the box ? 
Options: a ) 345 , b ) 384 , c ) 378 , d ) 398 , e ) 300
Output: b
Problem: find the area of the quadrilateral of one of its diagonals is 30 cm and its off sets 10 cm and 6 cm ? 
Options: a ) 189 cm 2 , b ) 150 cm 2 , c ) 240 cm 2 , d ) 177 cm 2 , e ) 187 cm 2
Output: c
Problem: if the sides of a triangle are 26 cm , 24 cm and 10 cm , what is its area ? 
Options: a ) 120 cm 2 , b ) 130 cm 2 , c ) 312 cm 2 , d ) 315 cm 2 , e ) none of these
Output: a
Problem: if o is the center of the circle in the figure above and the area of the unshaded sector is 5 , what is the area of the shaded region ? 
Options: ['a ) 25 / √ π', 'b ) 30 / √ π', 'c ) 20', 'd ) 25', 'e ) 30']
Output: d
Problem: carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 8 inches by 15 inches and jordan ' s rectangle is 4 inches long , how wide is jordan ' s rectangle , in inches ? 
Options: a ) 24 , b ) 26 , c ) 28 , d ) 30 , e ) 32
Output: d
Problem: a rectangular lawn of dimensions 70 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 . 3 per sq m ? 
Options: a ) s . 3988 , b ) s . 3900 , c ) s . 3228 , d ) s . 3922 , e ) s . 3600
Output: e
Problem: the area of a rhombus is equal to the area of a rectangle whose length is 20 cm and the breadth is 10 cm . if one of the diagonals is 32 cm what is the length of other diagonal ? 
Options: ['a ) 10', 'b ) 12.5', 'c ) 15', 'd ) 16', 'e ) 17.5']
Output: b
Problem: a hall is 15 m long and 12 m broad . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of 4 walls , the volume of the hall is : 
Options: a ) 3348 , b ) 3898 , c ) 1200 , d ) 2881 , e ) 7881
Output: c
Problem: a hall is 18 meters long and 9 meters wide . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , what is the volume of the hall ( in cubic meters ) ? 
Options: a ) 640 , b ) 758 , c ) 862 , d ) 972 , e ) 1024
Output: d
Problem: two isosceles triangles have equal vertical angles and their areas are in the ratio 16 : 49 . find the ratio of their corresponding heights . 
Options: a ) 4 / 5 , b ) 5 / 4 , c ) 3 / 2 , d ) 4 / 7 , e ) 2 / 3
Output: d
Problem: a cube of edge 5 cm is cut into cubes of each edge 1 cm . the ratio of the total surface area of one of the small cubes to that of the large cube is equal to 
Options: ['a ) 1 : 5', 'b ) 1 : 25', 'c ) 1 : 125', 'd ) 1 : 625', 'e ) none']
Output: b
Problem: what is the % change in the area of a rectangle when its length increases by 25 % and its width decreases by 25 % ? 
Options: a ) 0 % , b ) 20 % increase , c ) 20 % decrease , d ) 6 % decrease , e ) insufficient data
Output: d
Problem: the area of a square field is 4802 m ( power ) 2 the length of its diagonal is : 
Options: ['a ) 98 m', 'b ) 102 m', 'c ) 95 m', 'd ) 105 m', 'e ) 96 m']
Output: a
Problem: the length and breadth of a rectangle is increased by 10 % and 25 % respectively . what is the increase in the area ?. a . 27.5 % 
Options: ['a ) 37.2 %', 'b ) 37.5 %', 'c ) 30.2 %', 'd ) 37.7 %', 'e ) 33.2 %']
Output: b
Problem: what should be added to 4529 so that it may become a perfect square ? 
Options: a ) 94 , b ) 95 , c ) 96 , d ) 97 , e ) 98
Output: b
Problem: rectangle a has sides a and b , and rectangle b has sides c and d . if a / c = b / d = 3 / 5 , what is the ratio of rectangle a ’ s area to rectangle b ’ s area ? 
Options: ['a ) 5 / 3', 'b ) 9 / 5', 'c ) 9 / 25', 'd ) 3 / 5', 'e ) 25 / 9']
Output: c
Problem: a larger cube has 343 cubic inch as a volume and in the cube there are 343 smaller cubes such that their volume is 1 cubic inch . what is the difference between the surface areas ’ sum of the 343 smaller cubes and the surface area of the larger cube , in square inch ? 
Options: a ) 54 , b ) 64 , c ) 81 , d ) 108 , e ) 1764
Output: e
Problem: the area of an isosceles trapezoid with sides of length 5 and bases of length 11 and 17 is ? 
Options: a ) 48 , b ) 52 , c ) 54 , d ) 56 , e ) 46
Output: d
Problem: find the curved surface area , if the radius of a cone is 35 m and slant height is 30 m ? 
Options: a ) 1100 , b ) 2200 , c ) 3300 , d ) 4400 , e ) 5500
Output: c
Problem: susan made a block with small cubes of 5 cubic cm volume to make a block 7 small cubes long , 7 small cubes wide and 6 small cubes deep . she realise that she has used more small cubes than she really needed . she realised that she could have glued a fewer number of cubes together ot look like a block with same dimensions , if it were made 
Options: ['a ) 194', 'b ) 195', 'c ) 196', 'd ) 197', 'e ) 198']
Output: a
Problem: what is the max number of rectangular boxes , each measuring 4 inches by 6 inches by 10 inches , that can be packed into a rectangular packing box measuring 16 inches by 18 inches by 30 inches , if all boxes are aligned in the same direction ? 
Options: ['a ) 36', 'b ) 14', 'c ) 12', 'd ) 15', 'e ) 11']
Output: a
Problem: if the sides of a cube are in the ratio 5 : 4 . what is the ratio of their diagonals ? 
Options: a ) 4 : 3 , b ) 5 : 4 , c ) 4 : 7 , d ) 3 : 4 , e ) 4 : 5
Output: b
Problem: the area of a square is 4356 sq cm . find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square . 
Options: a ) 5 : 28 , b ) 5 : 19 , c ) 7 : 12 , d ) 5 : 13 , e ) 7 : 22
Output: e
Problem: a circular mat with diameter 18 inches is placed on a square tabletop , each of whose sides is 24 inches long . which of the following is closest to the fraction of the tabletop covered by the mat ? 
Options: ['a ) 5 / 12', 'b ) 3 / 5', 'c ) 1 / 2', 'd ) 3 / 8', 'e ) 5 / 6']
Output: d
Problem: a hall is 15 meters long and 10 meters wide . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , what is the volume of the hall ( in cubic meters ) ? 
Options: a ) 600 , b ) 700 , c ) 800 , d ) 900 , e ) 1000
Output: d
Problem: the diagonal of a rhombus are 40 m and 30 m . its area is : 
Options: ['a ) 600', 'b ) 450', 'c ) 350', 'd ) 500', 'e ) 620']
Output: a
Problem: when magnified 1,000 times by an electron microscope , the image of a certain circular piece of tissue has a diameter of 2 centimeter . the actual diameter of the tissue , in centimeters , is 
Options: ['a ) 0.005', 'b ) 0.002', 'c ) 0.001', 'd ) 0.0005', 'e ) 0.0002']
Output: b
Problem: the squared value of the diagonal of a rectangle is ( 64 + b 2 ) sq cm , where b is less than 8 cm . what is the breadth of that rectangle ? 
Options: ['a ) 6 cm', 'b ) 10 cm', 'c ) 8 cm', 'd ) data inadequate', 'e ) none of these']
Output: a
Problem: the area of a rectangle is 460 square metres . if the length is 15 % more than the breadth , what is the breadth of the rectangular field ? 
Options: ['a ) 20', 'b ) 27', 'c ) 26', 'd ) 188', 'e ) 11']
Output: a
Problem: if the area of a circle is 49 pi square feet , find its circumference . 
Options: a ) 14 pi feet , b ) 28 pi feet , c ) 38 pi feet , d ) 48 pi feet , e ) 58 pi feet
Output: a
Problem: the ratio of the volumes of two cubes is 1728 : 1331 . what is the ratio of their total surface areas ? 
Options: a ) 144 : 121 , b ) 141 : 127 , c ) 144 : 191 , d ) 181 : 161 , e ) 81 : 182
Output: a
Problem: if there is one larger cube with surface area 600 and no . of smaller cubes with surface area 24 . then how many small cubes are required to make a larger cube with surface area of 600 ? 
Options: ['a ) 5', 'b ) 125', 'c ) 4', 'd ) 100', 'e ) 24']
Output: b
Problem: if the sides of a triangle are 26 cm , 25 cm and 10 cm , what is its area ? 
Options: a ) 120 , b ) 110 , c ) 130 , d ) 140 , e ) 125
Output: e
Problem: a carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet . if the carpenter were to make a similar sandbox twice as long , twice as wide , and twice as high as the first sandbox , what would be the capacity , in cubic feet , of the second sandbox ? 
Options: a ) 20 , b ) 40 , c ) 60 , d ) 80 , e ) 100
Output: d
Problem: the area of a square is 4225 sq cm . find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square . 
Options: a ) 5 : 28 , b ) 5 : 19 , c ) 5 : 12 , d ) 5 : 13 , e ) 41 : 130
Output: e
Problem: an artist wishes to paint a circular region on a square poster that is 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 ( 8 / pi ) , c ) 1 , d ) 2 / sqrt ( pi ) , e ) pi / 2
Output: c
Problem: the sum of a number and its square is 1406 . what is the number ? 
Options: ['a ) 1409', 'b ) 1402', 'c ) 1221', 'd ) 1406', 'e ) 8828']
Output: d
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 4 centimeters , what is the length of the rectangle , in centimeters ? 
Options: a ) 4 , b ) 8 , c ) 12 , d ) 3 , e ) 18
Output: d
Problem: the area of a square garden is q square feet and the perimeter is p feet . if q = p + 21 , what is the perimeter of the garden in feet ? 
Options: ['a ) 24', 'b ) 28', 'c ) 32', 'd ) 36', 'e ) 40']
Output: b
Problem: the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 150 sq . cm , what is the length of the rectangle ? 
Options: ['a ) 12 cm', 'b ) 15 cm', 'c ) 18 cm', 'd ) 21 cm', 'e ) 24 cm']
Output: b
Problem: find the surface area of a cuboid 12 m long , 14 m broad and 7 m high 
Options: ['a ) 868 sq . cm', 'b ) 600 sq . cm', 'c ) 700 sq . cm', 'd ) 900 sq . cm', 'e ) none of these']
Output: c
Problem: how many odd numbers between 10 and 800 are the squares of integers ? 
Options: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16
Output: a
Problem: find the area of the quadrilateral of one of its diagonals is 26 cm and its off sets 9 cm and 6 cm ? 
Options: a ) 188 cm 2 , b ) 150 cm 2 , c ) 168 cm 2 , d ) 195 cm 2 , e ) 987 cm 2
Output: d
Problem: the diagonals of the two squares are in the ratio of 2 : 5 find the ratio of their area . 
Options: a ) 5 : 89 , b ) 7 : 96 , c ) 4 : 25 , d ) 5 : 84 , e ) 8 : 96
Output: c
Problem: find the perimeter of a triangle with sides measuring 7 centimeters , 10 centimeters and 15 centimeters . 
Options: ['a ) 10 cm', 'b ) 15 cm', 'c ) 32 cm', 'd ) 35 cm', 'e ) 20 cm']
Output: c
Problem: find the surface area of a 10 cm * 4 cm * 3 cm brick . 
Options: ['a ) 154 cm square', 'b ) 156 cm square', 'c ) 160 cm square', 'd ) 164 cm square', 'e ) none of these']
Output: d
Problem: what is the area of a square field whose sides have a length of 14 meters ? 
Options: a ) 196 sq m , b ) 286 sq m , c ) 298 sq m , d ) 267 sq m , e ) 231 sq m
Output: a
Problem: if the area of a circle decreases by 66 % , then the radius of a circle decreases by 
Options: a ) 20 % , b ) 18 % , c ) 36 % , d ) 64 % , e ) none of these
Output: e
Problem: a cube of edge 15 cm is immersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 20 cm * 15 cm , find the rise in water level ? 
Options: a ) 6 cm , b ) 8.25 cm , c ) 11.25 cm , d ) 15.12 cm , e ) 20.62 cm
Output: c
Problem: in a trapezium abcd , ab is parallel to dc , ab = 3 * dc , and the diagonals of the trapezium intersect at o . the ratio of the area of ∆ ocd to the area of ∆ oab is : 
Options: ['a ) 1 : 9', 'b ) 1 : 3', 'c ) 3 : 1', 'd ) 1 : 10', 'e ) can not be determined']
Output: a
Problem: a farmer grows broccoli in his farm that is in the shape of a square . each broccoli takes 1 square foot of area in his garden . this year , he has increased his output by 101 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 he produce this year ? 
Options: ['a ) 2400', 'b ) 2601', 'c ) 1987', 'd ) 2000', 'e ) can not be determined']
Output: b
Problem: cubes with each side one inch long are glued together to form a larger cube . the larger cube ' s face is painted with red color and the entire assembly is taken apart . 23 small cubes are found with no paints on them . how many of unit cubes have at least one face that is painted red ? 
Options: ['a ) 64', 'b ) 72', 'c ) 86', 'd ) 98', 'e ) 102']
Output: e
Problem: a rectangular lawn of dimensions 80 m * 50 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 . 3 per sq m ? 
Options: a ) a ) 3820 , b ) b ) 930 , c ) c ) 9309 , d ) d ) 3600 , e ) e ) 8302
Output: d
Problem: the slant height of a cone is 22 cm and radius of the base is 7 cm , find the curved surface of the cone ? 
Options: a ) 426 , b ) 284 , c ) 483 , d ) 256 , e ) 428
Output: c
Problem: a rectangular garden is to be twice as long as it is wide . if 150 yards of fencing , including the gate , will completely enclose the garden , what will be the length of the garden , in yards ? 
Options: ['a ) 40', 'b ) 50', 'c ) 60', 'd ) 70', 'e ) 80']
Output: b
Problem: in front of you lies a figure made up with 20 x 10 square blocks . will you be able to find out the number of unique squares and rectangles that are being formed inside this figure by combining two or more distinct squares ? 
Options: ['a ) 11647', 'b ) 11550', 'c ) 12654', 'd ) 26537', 'e ) 32651']
Output: b
Problem: the diagonals of a rhombus are 10 cm and 12 cm . find its area ? 
Options: a ) 158 , b ) 60 , c ) 150 , d ) 123 , e ) 117
Output: b
Problem: 65 small identical cubes are used to form a large cube . how many more cubes are needed to add one top layer of small cube all over the surface of the large cube ? 
Options: ['a ) 64', 'b ) 128', 'c ) 151', 'd ) 216', 'e ) 256']
Output: c
Problem: a rectangular grass field is 75 m * 55 m , it has a path of 3.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ? 
Options: a ) s . 1350 , b ) s . 1327 , c ) s . 1328 , d ) s . 1397 , e ) s . 1918
Output: e
Problem: how much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 17 inches than that of a rectangular sheet of paper measuring 8.5 inches by 11 inches ? 
Options: a ) 50 % , b ) 87 % , c ) 100 % , d ) 187 % , e ) 200 %
Output: c
Problem: find the area of circle whose diameter is 8 m . 
Options: ['a ) 50.00 square meter', 'b ) 50.04 square meter', 'c ) 50.28 square meter', 'd ) 50.24 square meter', 'e ) 50.43 square meter']
Output: c
Problem: a certain barrel , which is a right circular cylinder , is filled to capacity with 60 gallons of oil . the first barrel is poured into a second barrel , also a right circular cylinder , which is empty . the second barrel is twice as tall as the first barrel and has twice the diameter of the first barrel . if all of the oil in the first barrel is poured into the second barrel , how much empty capacity , in gallons , is left in the second barrel ? 
Options: ['a ) there is no empty capacity', 'b ) 100 gallons', 'c ) 300 gallons', 'd ) 420 gallons', 'e ) 840 gallons']
Output: d
Problem: a cube of edge 12 cm is immersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 20 cm * 15 cm , find the rise in water level ? 
Options: a ) 5.76 cm , b ) 8.25 cm , c ) 11.25 cm , d ) 15.12 cm , e ) 20.62 cm
Output: a
Problem: find the area of the quadrilateral of one of its diagonals is 22 cm and its off sets 9 cm and 6 cm ? 
Options: a ) 188 cm 2 , b ) 165 cm 2 , c ) 168 cm 2 , d ) 198 cm 2 , e ) 987 cm 2
Output: b
Problem: the perimeter of one face of a cube is 24 cm . its volume will be : 
Options: a ) 216 cm 3 , b ) 400 cm 3 , c ) 250 cm 3 , d ) 625 cm 3 , e ) none of these
Output: a
Problem: the diagonals of two squares are in the ratio of 2 : 5 then find the ratio of its areas ? 
Options: a ) 2 : 12 , b ) 4 : 25 , c ) 5 : 31 , d ) 2 : 19 , e ) 3 : 17
Output: b
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 19 - inch screen would be how many square inches greater than the area of a square 17 - inch screen ? 
Options: a ) 36 , b ) 4 , c ) 16 , d ) 38 , e ) 40
Output: a
Problem: find the perimeter and area of a square of side 15 cm . 
Options: a ) 144 , b ) 169 , c ) 196 , d ) 121 , e ) 225
Output: e