niryuu/sni-each-converted huggingface dataset:
Problem: find the area of a parallelogram with base 26 cm and height 12 cm ? 
Options: a ) 281 , b ) 284 , c ) 288 , d ) 255 , e ) 312
Output: e
Problem: the ratio of the radius of two circles is 3 : 4 , and then the ratio of their areas is ? 
Options: a ) 1 : 7 , b ) 9 : 16 , c ) 1 : 9 , d ) 3 : 7 , e ) 3 : 4
Output: b
Problem: two cubes of their volumes in the ratio 343 : 729 . the ratio of their surface area is : 
Options: a ) 7 : 9 , b ) 2 : 5 , c ) 3 : 5 , d ) 1 : 5 , e ) 4 : 5
Output: a
Problem: what is the smallest positive integer x such that 864 x is the cube of a positive integer 
Options: a ) 6 , b ) 12 , c ) 9 , d ) 5 , e ) 2
Output: e
Problem: the sides of the triangle are in the ratio 5 : 6 : 7 and its perimeter is 720 cm . the length of the longest side is ? 
Options: ['a ) 150 cm', 'b ) 200 cm', 'c ) 162 cm', 'd ) 220 cm', 'e ) 280 cm']
Output: e
Problem: a rectangular field has to be fenced on three sides leaving a side of 2020 feet uncovered . if the area of the field is 680680 sq . feet , how many feet of fencing will be required ? 
Options: a ) 95 , b ) 92 , c ) 88 , d ) 82 , e ) 80
Output: c
Problem: john builds a square with a side of 12 cm from some wire . if from the same wire , he builds a rectangle with a width of 6 cm , what will be the length of the rectangle ? 
Options: ['a ) 18 cm', 'b ) 19 cm', 'c ) 20 cm', 'd ) 21 cm', 'e ) none']
Output: a
Problem: if a triangle in the xy - coordinate system has vertices at ( - 2 , - 3 ) , ( 4 , - 3 ) and ( 28 , 7 ) , what is the area of the triangle ? 
Options: ['a ) 30', 'b ) 36', 'c ) 48', 'd ) 60', 'e ) 65']
Output: a
Problem: if a is the smallest positive integer such that 3150 multiplied by a is the square of an integer , then a must be 
Options: a ) 2 , b ) 5 , c ) 6 , d ) 7 , e ) 14
Output: e
Problem: the dimensions of a rectangular solid are 4 inches , 5 inches , and 10 inches . if a cube , a side of which is equal to one of the dimensions of the rectangular solid , is placed entirely within thespherejust large enough to hold the cube , what the ratio of the volume of the cube to the volume within thespherethat is not occupied by the cube ? 
Options: a ) 10 : 17 , b ) 2 : 5 , c ) 10 : 19 , d ) 25 : 7 , e ) 32 : 25
Output: c
Problem: a rectangular parking space is marked out by painting three of its sides . if the length of the unpainted side is 99 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 ) 126 sq . ft', 'b ) 64 sq . ft', 'c ) 100 sq . ft', 'd ) 120 sq . ft', 'e ) 140 sq . ft']
Output: a
Problem: the rhombus ( afce ) is inscribed in rectangle ( abcd ) . the length of bf = de . if the rectangle has a width of 20 yards and a length of 25 yards , what would be the total length ( the perimeter ) of a fence along the sides defined by afce ? 
Options: a ) 80 yards , b ) 82 yards , c ) 84 yards , d ) 85 yards , e ) 90 yards
Output: b
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 650 sq . feet , how many feet of fencing will be required ? 
Options: a ) 34 , b ) 40 , c ) 85 , d ) 88 , e ) none
Output: c
Problem: two cubes of their volumes in the ratio 64 : 343 . the ratio of their surface area is : 
Options: a ) 1.5 : 5 , b ) 2 : 5 , c ) 3 : 5 , d ) 1 : 5 , e ) 4 : 7
Output: e
Problem: the length and breadth of a rectangular floor are 16.25 metre and 12.75 metre respectively . find how many minimum number of square tiles would be required to cover it completely ? 
Options: ['a ) 375', 'b ) 2570', 'c ) 2800', 'd ) 3315', 'e ) none of these']
Output: d
Problem: in a rectangular axis system , what is the area of a parallelogram with the coordinates : ( 3,5 ) , ( 9,5 ) , ( 2,7 ) , ( 8,7 ) ? 
Options: a ) 21 . , b ) 28 . , c ) 35 . , d ) 12 . , e ) 52 .
Output: d
Problem: three walls have wallpaper covering a combined area of 300 square meters . by overlapping the wallpaper to cover a wall with an area of 180 square meters , the area that is covered by exactly two layers of wallpaper is 38 square meters . what is the area that is covered with three layers of wallpaper ? 
Options: ['a ) 5 square meters', 'b ) 36 square meters', 'c ) 42 square meters', 'd ) 83.3 square meters', 'e ) 41 square meters']
Output: e
Problem: a rectangular tiled patio is composed of 90 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 90 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 ) 11 , e ) 28
Output: d
Problem: a cylinder with base radius of 8 cm and height of 2 cm is melted to form a cone of height 6 cm . the radius of the cone will be : 
Options: ['a ) 8 cm', 'b ) 9 cm', 'c ) 10 cm', 'd ) 11 cm', 'e ) none']
Output: a
Problem: a cheese factory sells its cheese in rectangular blocks . a normal block has a volume of 4 cubic feet . if a large block has twice the width , twice the depth , and twice the length of a normal block , what is the volume of cheese in a large block in cubic feet ? 
Options: ['a ) 16', 'b ) 20', 'c ) 36', 'd ) 32', 'e ) 28']
Output: d
Problem: what positive number , when squared , is equal to the cube of the positive square root of 16 ? 
Options: a ) 64 , b ) 32 , c ) 8 , d ) 4 , e ) 2
Output: c
Problem: if each side of a square is increased by 50 % , the ratio of the area of the resulting square to the area of the given square is : 
Options: ['a ) 5 : 4', 'b ) 9 : 4', 'c ) 4 : 5', 'd ) 4 : 9', 'e ) 1 : 2']
Output: b
Problem: the size of a flat - screen tablet is given as the length of the screen ’ s diagonal . how many square inches greater is the screen of a square 8 - inch flat - screen tablet than a square 7 - inch flat - screen tablet ? 
Options: a ) 7.6 , b ) 7.3 , c ) 7.2 , d ) 7.5 , e ) 8.0
Output: d
Problem: the number 250 can be written as sum of the squares of 3 different positive integers . what is the sum of these 3 different integers ? 
Options: ['a ) 18', 'b ) 22', 'c ) 21', 'd ) 20', 'e ) 19']
Output: b
Problem: a cube of edge 6 cm is cut into cubes each of edge 3 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 : 4 , b ) 1 : 25 , c ) 1 : 52 , d ) 1 : 522 , e ) none
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 80 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 ) 480 cm
Output: e
Problem: if anangletis defined as 1 percent of 1 degree , then how many anglets are there in one half circle ? 
Options: a ) 0.36 , b ) 3.6 , c ) 360 , d ) 18,000 , e ) 36,000
Output: d
Problem: a box measuring 36 inches long by 45 inches wide by 18 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 ) 32 , b ) 34 , c ) 38 , d ) 40 , e ) 42
Output: d
Problem: if the area of a square with sides of length 5 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 ) 7 , e ) 18
Output: d
Problem: 18 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 ) 279 , d ) 90 , e ) 45
Output: c
Problem: triangle atriangle b are similar triangles with areas 1536 units square and 2166 units square respectively . the ratio of there corresponding height would be 
Options: ['a ) 9 : 10', 'b ) 17 : 19', 'c ) 23 : 27', 'd ) 13 : 17', 'e ) 16 : 19']
Output: e
Problem: the area of a parallelogram is 243 sq m and its altitude is three times the corresponding base . what is the length of the base ? 
Options: a ) 4 , b ) 9 , c ) 10 , d ) 4 , e ) 12
Output: b
Problem: in may , the grounds keeper at spring lake golf club built a circular green with an area of 25 square feet . in august , he doubled the distance from the center of the green to the edge of the green . what is the total area of the renovated green ? 
Options: a ) 100 pi , b ) 80 , c ) 70 , d ) 60 , e ) 50
Output: a
Problem: two cubes of their volumes in the ratio 27 : 125 . the ratio of their surface area is : 
Options: a ) 1.5 : 5 , b ) 2 : 5 , c ) 3 : 5 , d ) 1 : 5 , e ) 4 : 5
Output: c
Problem: a cylinder is being filled with sand weighing 200 kg per cubic foot . the cylinder has a diameter of 1 foot and is 5 feet tall . how much sand is being used ? ? 
Options: ['a ) 250 pi kg', 'b ) 500 pi kg', 'c ) 500 pi ^ 2 kg', 'd ) 1000 pi kg', 'e ) 1000 pi ^ 2 kg']
Output: a
Problem: if the radius of a circle is increased by 12 % , then the area of the circle 
Options: ['a ) decreases by 25.44 %', 'b ) increases by 25.44 %', 'c ) no change in area', 'd ) decreases by 12 %', 'e ) none']
Output: b
Problem: what is the ratio between perimeters of two squares one having 11 times the diagonal then the other ? 
Options: a ) 3 : 8 , b ) 3 : 6 , c ) 3 : 7 , d ) 11 : 1 , e ) 3 : 3
Output: d
Problem: the perimeter of a square is equal to the perimeter of a rectangle of length 15 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 ) 22.78', 'b ) 23.54', 'c ) 24.5', 'd ) 25.55', 'e ) 23.51']
Output: a
Problem: if the radius of a circle is increased by 30 % then the area is increased by : 
Options: a ) 44 % , b ) 69 % , c ) 144 % , d ) 40 % , e ) none of the above
Output: b
Problem: a box measuring 90 inches long by 45 inches wide by 9 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ? 
Options: a ) 17 , b ) 18 , c ) 50 , d ) 108 , e ) 864
Output: c
Problem: a circular logo is enlarged to fit the lid of a jar . the new diameter is 60 per cent larger than the original . by what percentage has the area of the logo increased ? 
Options: ['a ) 50', 'b ) 80', 'c ) 100', 'd ) 143.36', 'e ) 250']
Output: d
Problem: the number 86 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: d
Problem: the length of rectangle is thrice its breadth and its perimeter is 96 m , find the area of the rectangle ? 
Options: a ) 432 , b ) 288 , c ) 376 , d ) 397 , e ) 592
Output: a
Problem: if a rectangular room measures 8 meters by 5 meters by 4 meters , what is the volume of the room in cubic centimeters ? ( 1 meter = 100 centimeters ) 
Options: ['a ) 24,000', 'b ) 16 , 000,000', 'c ) 2 , 400,000', 'd ) 24 , 000,000', 'e ) 240 , 000,000']
Output: b
Problem: a spirit and water solution is sold in a market . the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has . a solution of 1 liter of spirit and 1 liter of water costs 60 cents . how many cents does a solution of 1 liter of spirit and 2 liters of water cost ? 
Options: a ) 13 , b ) 33 , c ) 50 , d ) 51 , e ) 60
Output: e
Problem: a wooden cube whose edge length is 9 inches is composed of smaller cubes with edge lengths of one inch . the outside surface of the large cube is painted red and then it is split up into its smaller cubes . if one cube is randomly selected from the small cubes , what is the probability that the cube will have at least one red face ? 
Options: a ) 52.9 % , b ) 55.4 % , c ) 58.3 % , d ) 61.7 % , e ) 64.5 %
Output: a
Problem: if the volume of two cubes are in the ratio 64 : 8 , the ratio of their edges is : 
Options: a ) 3 : 1 , b ) 3 : 2 , c ) 3 : 5 , d ) 2 : 1 , e ) none of these
Output: d
Problem: there are two cubes with ratio between volume is 125 : 64 . then what is the value of length of each cube ? 
Options: ['a ) 25 : 16', 'b ) 16 : 25', 'c ) 4 : 5', 'd ) 5 : 4', 'e ) 150 : 96']
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 600 sq . ft , how many feet of fencing will be required ? 
Options: a ) 80 feet , b ) 70 feet , c ) 60 feet , d ) 50 feet , e ) 20 feet
Output: a
Problem: the number 155 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 ) 21
Output: e
Problem: the length of a rectangular landscape is 4 times its breadth . there is a playground in it whose area is 1200 square mtr & which is 1 / 3 rd of the total landscape . what is the length of the landscape ? 
Options: ['a ) 90', 'b ) 100', 'c ) 120', 'd ) 130', 'e ) 140']
Output: c
Problem: if d is the smallest positive integer such that 3150 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: the area of a square is equal to three times the area of a rectangle of dimensions 49 cm * 27 cm . what is the perimeter of the square ? 
Options: a ) 380 cm , b ) 264 cm , c ) 252 cm , d ) 324 cm , e ) 296 cm
Output: c
Problem: in an electric circuit , two resistors with resistances 8 ohms and 9 ohms 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 r value ? 
Options: ['a ) 17', 'b ) 45 / 78', 'c ) 72 / 17', 'd ) 17 / 72', 'e ) 72']
Output: c
Problem: a right circular cylinder has a height of 22 and a radius of 5 . a rectangular solid with a height of 15 and a square base , is placed in the cylinder such that each of the corners of the solid is tangent to the cylinder wall . liquid is then poured into the cylinder such that it reaches the rim . what is the volume of the liquid ? 
Options: ['a ) 500 ( π – 3 )', 'b ) 500 ( π – 2.5 )', 'c ) 500 ( π – 2 )', 'd ) 550 ( π – 1.5 )', 'e ) 500 ( π – 1 )']
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 65 sq . cm . find the length of the rectangle . 
Options: a ) 12 cm , b ) 14 cm , c ) 16 cm , d ) 18 cm , e ) 20 cm
Output: c
Problem: what will be the cost of building to paint which area equal to 196 sq ft , if the price per foot of building is rs . 15 ? 
Options: ['a ) 120', 'b ) 240', 'c ) 360', 'd ) 380', 'e ) 840']
Output: e
Problem: a certain rectangular window is two times as long as it is wide . if its perimeter is 30 feet , what are its dimensions in terms of length by width ? 
Options: a ) 12 by 2 , b ) 11 by 3 , c ) 10.5 by 3.5 , d ) 10 by 5 , e ) 9 by 3
Output: d
Problem: the length of rectangle is thrice its breadth and its perimeter is 56 m , find the area of the rectangle ? 
Options: a ) 432 , b ) 212 , c ) 252 , d ) 992 , e ) 147
Output: e
Problem: if the sides of a triangle are 91 cm , 84 cm and 35 cm , what is its area ? 
Options: a ) 120 cm 2 , b ) 1470 cm 2 , c ) 216 cm 2 , d ) 197 cm 2 , e ) 275 cm 2
Output: b
Problem: the volume of a cube is 2197 cc . find its surface . 
Options: a ) 864 , b ) 1014 , c ) 1299 , d ) 1268 , e ) 1191
Output: b
Problem: the width of a rectangular hall is ½ of its length . if the area of the hall is 200 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: b
Problem: what is the smallest positive perfect square that is divisible by 9 , 21 , and 49 ? 
Options: a ) 225 , b ) 324 , c ) 441 , d ) 529 , e ) 900
Output: c
Problem: the perimeter of one square is 24 m & that of another is 32 m . perimeter of a square whose area is equal to the sum of the areas of the 2 squares will be 
Options: ['a ) 20 m', 'b ) 24 m', 'c ) 28 m', 'd ) 40 m', 'e ) 43 m']
Output: d
Problem: a horse is tethered to one corner of a rectangular grassy field 36 m by 20 m with a rope 12 m long . over how much area of the field can it graze ? 
Options: a ) 154 cm 2 , b ) 113 m 2 , c ) 123 m 2 , d ) 115 m 2 , e ) none of these
Output: b
Problem: how many internal diagonals does a hexagon ( six sided polygon ) have ? 
Options: a ) 5 , b ) 6 , c ) 8 , d ) 9 , e ) 10
Output: d
Problem: 30 square stone slabs of equal size were needed to cover a floor area of 58.8 sq . m . find the length of each stone slab ? 
Options: a ) 140 cm , b ) 767 cm , c ) 88 cm , d ) 666 cm , e ) 776 cm
Output: a
Problem: three table runners have a combined area of 212 square inches . by overlapping the runners to cover 80 % of a table of area 175 square inches , the area that is covered by exactly two layers of runner is 24 square inches . what is the area of the table that is covered with three layers of runner ? 
Options: a ) 18 square inches , b ) 20 square inches , c ) 24 square inches , d ) 28 square inches , e ) 30 square inches
Output: c
Problem: calculate the area of a triangle , if the sides of are 65 cm , 60 cm and 25 cm , what is its area ? 
Options: a ) 850 cm 2 , b ) 750 cm 2 , c ) 450 cm 2 , d ) 550 cm 2 , e ) 650 cm 2
Output: b
Problem: in a new housing development , trees are to be planted along the sidewalk of a certain street . each tree takes up one square foot of sidewalk space , and there are to be 10 feet between each tree . how many trees can be planted if the road is 166 feet long ? 
Options: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 16
Output: e
Problem: a rectangular farm has to be fenced one long side , one short side and the diagonal . if the cost of fencing is rs . 15 per meter . the area of farm is 1200 m 2 and the short side is 30 m long . how much would the job cost ? 
Options: ['a ) 1276', 'b ) 1200', 'c ) 2832', 'd ) 1800', 'e ) 1236']
Output: d
Problem: if y is the smallest positive integer such that 4410 multiplied by y is the square of an integer , then y must be 
Options: ['a ) 2', 'b ) 5', 'c ) 6', 'd ) 7', 'e ) 10']
Output: e
Problem: the surface area of a sphere is 4 π r 2 , where r is the radius of the sphere . if the area of the base of a hemisphere is 3 , what is the surface area q of that hemisphere ? 
Options: a ) 6 / π , b ) 9 / π , c ) 6 , d ) 9 , e ) 12
Output: d
Problem: the area of a square is equal to five times the area of a rectangle of dimensions 60 cm * 12 cm . what is the perimeter of the square ? 
Options: a ) 289 cm , b ) 800 cm , c ) 829 cm , d ) 288 cm , e ) 240 cm
Output: e
Problem: the monthly rent of a shop of dimension 20 feet × 15 feet is rs . 3600 . what is the annual rent per square foot of the shop ? 
Options: a ) 43 , b ) 144 , c ) 68 , d ) 87 , e ) 92
Output: b
Problem: two cubes have their volumes in the ratio 1 : 27 . find the ratio of their surface areas . 
Options: ['a ) 1 : 9', 'b ) 2 : 9', 'c ) 3 : 9', 'd ) 5 : 9', 'e ) none of them']
Output: a
Problem: can v and can в are both right circular cylinders . the radius of can v is twice the radius of can b , while the height of can v is half the height of can b . if it costs $ 4.00 to fill half of can b with a certain brand of gasoline , how much would it cost to completely fill can v with the same brand of gasoline ? 
Options: ['a ) $ 1', 'b ) $ 2', 'c ) $ 4', 'd ) $ 8', 'e ) $ 16']
Output: e
Problem: find the area of a parallelogram with base 22 cm and height 14 cm ? 
Options: a ) 298 cm 2 , b ) 384 cm 2 , c ) 308 cm 2 , d ) 286 cm 2 , e ) 276 cm 2
Output: c
Problem: 5 cylinders are built successively , the first is 4 meters tall and the following cylinders are each 4 meters taller than the previous . if the perimeter is 10 pi m , what is the total surface area of the 5 cylinders , excluding the bases of each cylinder ? 
Options: ['a ) 725 pi sq m', 'b ) 1025 pi sq m', 'c ) 600 pi sq m', 'd ) 125 pi sq m', 'e ) 850 pi sq m']
Output: a
Problem: the measurement of a rectangular box with lid is 25 cmx 18 cmx 18 cm . find the volume of the largest sphere that can be inscribed in the box ( in terms of π cm 3 ) . ( hint : the lowest measure of rectangular box represents the diameter of the largest sphere ) 
Options: a ) 288 , b ) 48 , c ) 72 , d ) 972 , e ) 964
Output: d
Problem: two circular frames are kept one above the other . frame x has a diameter of 16 cm and frame y has a diameter of 12 cm . what fraction of the surface of frame x is not covered by frame y ? 
Options: ['a ) 3 / 5', 'b ) 7 / 16', 'c ) 12 / 16', 'd ) 24 / 12', 'e ) 2 / 3']
Output: b
Problem: the area of a square is 4624 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 ) 11 : 34
Output: e
Problem: the length of a rectangle is two - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 1600 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ? 
Options: a ) 140 , b ) 99 , c ) 88 , d ) 160 , e ) 12
Output: d
Problem: the product of the squares of two positive integers is 1600 . how many pairs of positive integers satisfy this condition ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Output: e
Problem: the ratio of the volumes of two cubes is 125 : 512 . what is the ratio of their total surface areas ? 
Options: a ) 81 : 121 , b ) 25 : 64 , c ) 729 : 1331 , d ) 27 : 121 , e ) none of these
Output: b
Problem: a rectangular grass field is 75 m * 55 m , it has a path of 2.8 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 . 1518.8 , b ) s . 1327 , c ) s . 1328 , d ) s . 1397 , e ) s . 1927
Output: a
Problem: the area of a parallelogram is 242 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 ) 11 , e ) 2
Output: d
Problem: you buy a piece of land with an area of â ˆ š 1024 , how long is one side of the land plot ? 
Options: a ) 28 , b ) 29 , c ) 30 , d ) 31 , e ) 32
Output: e
Problem: how many squares are there between 2011 to 2300 ? ? ? ? 
Options: ['a ) 3', 'b ) 4', 'c ) 5', 'd ) 6', 'e ) 7']
Output: a
Problem: how much space , in cubic units , is left vacant when maximum number of 6 x 6 x 6 cubes are fitted in a rectangular box measuring 12 x 18 x 14 ? 
Options: a ) 428 , b ) 429 , c ) 430 , d ) 431 , e ) 432
Output: e
Problem: the area of a square field is 1600 km 2 . how long will it take for a horse to run around at the speed of 16 km / h ? 
Options: a ) 12 h , b ) 10 h , c ) 8 h , d ) 6 h , e ) none of these
Output: b
Problem: the parameter of a square is equal to the perimeter of a rectangle of length 7.5 cm and breadth 6.5 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 ) 10.2 , b ) 10.27 , c ) 10.23 , d ) 10.21 , e ) 10.25
Output: d
Problem: 50 square stone slabs of equal size were needed to cover a floor area of 98 sq . m . find the length of each stone slab ? 
Options: a ) 140 cm , b ) 767 cm , c ) 88 cm , d ) 666 cm , e ) 776 cm
Output: a
Problem: a rectangular swimming pool is 8 feet by 20 feet . a deck that has uniform width surrounds the pool . the total area of the pool and deck is 540 square feet . what is the width of the deck ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: e
Problem: a rectangle having length 120 cm and width 50 cm . if the length of the rectangle is increased by ten percent then how much percent the breadth should be decreased so as to maintain the same area . 
Options: a ) 25 % , b ) 33.33 % , c ) 40 % , d ) 7.69 % , e ) none of these
Output: d
Problem: a rectangular room 14 m long , 12 m broad is surrounded by a varandah , 3 m wide . find the area of the varandah ? 
Options: ['a ) 170', 'b ) 180', 'c ) 190', 'd ) 210', 'e ) 150']
Output: b
Problem: a rectangular carpet has an area of 60 sq . m . if its diagonal and longer side together equal 5 times the shorter side , the length of the carpet is : 
Options: ['a ) 5 m', 'b ) 12 m', 'c ) 13 m', 'd ) 14.5 m', 'e ) 15.5 m']
Output: b
Problem: a rectangle has a perimeter of 176 inches . the length of the rectangle is 8 inches more than its width . what is the area of the rectangle ? 
Options: ['a ) 1,408 square inches', 'b ) 1,920 square inches', 'c ) 1,936 square inches', 'd ) 2,304 square inches', 'e ) none of these']
Output: b
Problem: a circle graph shows how the budget of a certain company was spent : 15 percent for transportation , 9 percent for research and development , 5 percent for utilities , 4 percent for equipment , 2 percent for supplies , and the remainder for salaries . if the area of each sector of the graph is proportional to the percent of the budget it represents , how many degrees of the circle are used to represent salaries ? 
Options: a ) 216 ° , b ) 222 ° , c ) 228 ° , d ) 234 ° , e ) 240 °
Output: d
Problem: the diagonals of a rhombus are 15 cm and 20 cm . find its area ? 
Options: a ) 158 , b ) 129 , c ) 150 , d ) 123 , e ) 117
Output: c
Problem: a rectangular rug with side lengths of 2 feet and 7 feet is placed on a square floor that has an area of 64 square feet . if the surface of the rug does not extend beyond the area of the floor , what fraction of the area of the floor is not covered by the rug ? 
Options: ['a ) a . 3 / 16', 'b ) 1 / 4', 'c ) c . 1 / 2', 'd ) 25 / 32', 'e ) 7 / 8']
Output: d
Problem: two isosceles triangles have equal vertical angles and their areas are in the ratio 16 : 36 . find the ratio of their corresponding heights . 
Options: a ) 4 / 6 , b ) 5 / 4 , c ) 3 / 2 , d ) 5 / 7 , e ) 2 / 3
Output: a
Problem: the ratio of radius of a circle and the side of a square is 2 : 5 . find the ratio of their areas : 
Options: a ) 2 : 1 , b ) 4 : 25 , c ) 8 : 77 , d ) 4 : 121 , e ) none
Output: b
Problem: find the area of a rhombus one side of which measures 20 cm and one diagonal is 23 cm . 
Options: a ) 100 cm 2 , b ) 150 cm 2 , c ) 300 cm 2 , d ) 368 cm 2 , e ) 400 cm 2
Output: d
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 2 : 1 but were was no change in its perimeter . what is the ratio of the areas of the carpets ? 
Options: a ) 7 : 5 , b ) 12 : 11 , c ) 17 : 15 , d ) 22 : 17 , e ) 27 : 25
Output: e
Problem: the length of a rectangular garden is 2 feet longer than 3 times its width . if the perimeter of the garden is 100 feet , find the length of the garden . 
Options: ['a ) 42', 'b ) 38', 'c ) 28', 'd ) 57', 'e ) 49']
Output: b
Problem: the radius of a semicircle is 7 . what is the approximate perimeter of the semicircle ? 
Options: ['a ) 36', 'b ) 25', 'c ) 15', 'd ) 28', 'e ) 37']
Output: a
Problem: if a square mirror has a 20 - inch diagonal , what is the approximate perimeter q of the mirror , in inches ? 
Options: a ) 40 , b ) 60 , c ) 80 , d ) 100 , e ) 120
Output: b
Problem: three walls have wallpaper covering a combined area of 300 square meters . by overlapping the wallpaper to cover a wall with an area of 180 square meters , the area that is covered by exactly two layers of wallpaper is 40 square meters . what is the area that is covered with three layers of wallpaper ? 
Options: a ) 5 square meters , b ) 36 square meters , c ) 40 square meters , d ) 83.3 square meters , e ) 120 square meters
Output: c
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 60 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 ) 104.8 % , d ) 150.5 % , e ) 180 %
Output: c
Problem: a spirit and water solution is sold in a market . the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has . a solution of 1 liter of spirit and 1 liter of water costs 30 cents . how many cents does a solution of 1 liter of spirit and 2 liters of water cost ? 
Options: a ) 13 , b ) 30 , c ) 50 , d ) 51 , e ) 52
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 2.5 grams per cubic centimeter and mineral y weighs 2 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 , 200,000 , c ) 55,000 , d ) 28,000 , e ) 280
Output: b
Problem: the length of a rectangle is twice its breadth . if its length is decreased by 5 cm and breadth is increased by 5 cm , the area of the rectangle is increased by 75 sq . cm . find the length of the rectangle . 
Options: a ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) none of them
Output: d
Problem: if the radius of a circle that centers at the origin is 5 , how many j points on the circle have integer coordinates ? 
Options: ['a ) 4', 'b ) 8', 'c ) 12', 'd ) 15', 'e ) 20']
Output: c
Problem: a rectangular grass field is 60 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 ) 1200 , c ) 9676 , d ) 1679 , e ) 2691
Output: b
Problem: a larger cube has 8 cubic inch as a volume and in the cube there are 8 smaller cubes such that their volume is 1 cubic inch . what is the difference between the surface areas ’ sum of the 8 smaller cubes and the surface area of the larger cube , in square inch ? 
Options: ['a ) 24', 'b ) 64', 'c ) 81', 'd ) 108', 'e ) 120']
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 80 sq . feet , how many feet of fencing will be required ? 
Options: a ) 28 , b ) 40 , c ) 68 , d ) 88 , e ) 78
Output: a
Problem: a lady grows cabbage in her garden that is in the shape of a square . each cabbage takes 1 square foot of area in her garden . this year , she has increased her output by 127 cabbages when compared to last year . the shape of the area used for growing the cabbage has remained a square in both these years . how many cabbages did she produce this year ? 
Options: a ) 4096 , b ) 4098 , c ) 5000 , d ) 5096 , e ) can not be determined
Output: a
Problem: if the sides of a triangle are 196 cm , 81 cm and 277 cm , what is its area ? 
Options: a ) 5000 , b ) 5656 , c ) 7878 , d ) 7900 , e ) 7938
Output: e
Problem: what is the area of square field whose side of length 17 m ? 
Options: a ) 225 , b ) 777 , c ) 266 , d ) 289 , e ) 261
Output: d
Problem: a block of wood has dimensions 10 cm x 10 cm x 90 cm . the block is painted red and then cut evenly at the 45 cm mark , parallel to the sides , to form two rectangular solids of equal volume . what percentage of the surface area of each of the new solids is not painted red ? 
Options: a ) 5 % , b ) 10 % , c ) 15 % , d ) 20 % , e ) 25 %
Output: a
Problem: a horse is tethered to one corner of a rectangular grassy field 40 m by 24 m with a rope 14 m long . over how much area of the field can it graze ? 
Options: ['a ) 154 cm 2', 'b ) 308 m 2', 'c ) 150 m 2', 'd ) 407 m 2', 'e ) none of these']
Output: a
Problem: a rope can make 70 rounds of the circumference of a cylinder whose radius of the base is 14 cm . how many times can it go round a cylinder having radius 20 cm ? 
Options: ['a ) 49 rounds', 'b ) 42 rounds', 'c ) 54 rounds', 'd ) 52 rounds', 'e ) none of these']
Output: a
Problem: what is the measure of the radius of the circle inscribed in a triangle whose sides measure 4 , 11 and 12 units ? 
Options: ['a ) 1.6 units', 'b ) 6 units', 'c ) 3 units', 'd ) 5 units', 'e ) 12 units']
Output: a
Problem: if the sum of a number and its square is 240 , what is the number ? 
Options: a ) 15 , b ) 77 , c ) 25 , d ) 87 , e ) 171
Output: a
Problem: if anangletis defined as 1 percent of 1 degree , then how many anglets are there in a quarter circle ? 
Options: a ) 0.36 , b ) 3.6 , c ) 9000 , d ) 3,600 , e ) 36,000
Output: c
Problem: the area of a rectangular plot is 360 square metres . if the length is 25 % less than the breadth , what is the breadth of the plot ? 
Options: ['a ) 32 m', 'b ) 12 m', 'c ) 20 m', 'd ) 22 m', 'e ) 25 m']
Output: d
Problem: the area of a square garden is q square feet and the perimeter is p feet . if q = 2 p + 48 , what is the perimeter of the garden in feet ? 
Options: a ) 36 , b ) 40 , c ) 44 , d ) 48 , e ) 52
Output: d
Problem: square a is inscribed in circle b . if the perimeter of a is 32 , what is the circumference of b ? 
Options: ['a ) 6 √ 2 π', 'b ) 4 √ 2 π', 'c ) 8 √ 2 π', 'd ) 7 √ 2 π', 'e ) 5']
Output: c
Problem: the volumes of two cones are in the ratio 1 : 40 and the radii of the cones are in the ratio of 1 : 2 . what is the length of the wire ? 
Options: a ) 8 : 5 , b ) 8 : 9 , c ) 2 : 2 , d ) 8 : 2 , e ) 2 : 8
Output: a
Problem: the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 972 sq m , then what is the breadth of the rectangular plot ? 
Options: a ) 16 , b ) 17 , c ) 18 , d ) 19 , e ) 14
Output: c
Problem: if the length of the sides of two cubes are in the ratio 7 : 1 , what is the ratio of their total surface area ? 
Options: a ) 7 : 1 , b ) 14 : 1 , c ) 21 : 1 , d ) 42 : 1 , e ) 49 : 1
Output: e
Problem: the diagonal of a rectangle is cm and its area is 20 sq . cm . the perimeter of the rectangle must be : 
Options: ['a ) 18', 'b ) 77', 'c ) 625', 'd ) 276', 'e ) 191']
Output: a
Problem: how many odd numbers between 10 and 1200 are the squares of integers ? 
Options: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16
Output: d
Problem: a rectangular tiled patio is composed of 30 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 30 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: a
Problem: abcd is a square aegf is a rectangle . . such that the rectangle shares 25 % of the area of the suare also ae lies on the line ab and ag lies on segment of ad . if the square shares half the area of the rectangle what is the ratio ae : ag ? 
Options: ['a ) 1 : 4', 'b ) 8 : 1', 'c ) 4 : 1', 'd ) 3 : 1', 'e ) 1 : 3']
Output: b
Problem: if the area of a circle is 36 pi square feet , find its circumference . 
Options: a ) 65 pi feet , b ) 43 pi feet , c ) 12 pi feet , d ) 18 pi feet , e ) 64 pi feet
Output: c
Problem: a 11 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 / 8 , b ) 1 / 5 , c ) 6 / 11 , d ) 3 / 11 , e ) 2 / 5
Output: c
Problem: if the length of the longest chord of a certain circle is 20 , what is the radius of that certain circle ? 
Options: a ) 2.5 , b ) 5 , c ) 10 , d ) 15 , e ) 20
Output: c
Problem: the base of a triangular field is three times its altitude . if the cost of cultivating the field at rs . 24.68 per hectare be rs . 333.18 , find its base and height . 
Options: ['a ) 100 m', 'b ) 125 m', 'c ) 150 m', 'd ) 278 m', 'e ) 300 m']
Output: e
Problem: ratio between length and breath of a rectangle is 25 : 16 . the area of the rectangle is same with a square whose side is 200 . find the breadth and length of the rectangle ? 
Options: ['a ) 150,200', 'b ) 140,300', 'c ) 100,300', 'd ) 160,250', 'e ) 100,200']
Output: d
Problem: a cube is divided into 216 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 ) 72', 'b ) 84', 'c ) 96', 'd ) 108', 'e ) 120']
Output: c
Problem: difference between the length and breadth of a rectangle is 23 m . ifits perimeter is 206 m , then its area is ? ? 
Options: ['a ) 1220 m ^ 2', 'b ) 1520 m ^ 2', 'c ) 2520 m ^ 2', 'd ) 2600 m ^ 2', 'e ) 3420 m ^ 2']
Output: c
Problem: what is the smallest positive perfect square that is divisible by 4 , 10 , and 18 ? 
Options: ['a ) 900', 'b ) 1,600', 'c ) 2,500', 'd ) 3,600', 'e ) 4,900']
Output: a
Problem: a full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet . oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck ' s tank is completely filled . if the truck ' s tank has a radius of 7 feet and a height of 10 feet , how far ( in feet ) did the oil level drop in the stationary tank ? 
Options: a ) 0.07 , b ) 0.049 , c ) 0.7 , d ) 0.49 , e ) 4.9
Output: b
Problem: a lady builds 9 cm length , 12 cm width , and 3 cm height box using 3 cubic cm cubes . what is the minimum number of cubes required to build the box ? 
Options: a ) 107 , b ) 108 , c ) 109 , d ) 110 , e ) 111
Output: b
Problem: an error 2 % in excess is made while measuring the side of asquare . the % of error in the calculated area of the square is ? 
Options: a ) 4.00 % , b ) 4.04 % , c ) 4.26 % , d ) 4.56 % , e ) 4.67 %
Output: b
Problem: in may , the grounds keeper at spring lake golf club built a circular green with an area of 49 π square feet . in august , he doubled the distance from the center of the green to the edge of the green . what is the total area of the renovated green ? 
Options: a ) 100 pi , b ) 144 pi , c ) 196 pi , d ) 80 , e ) 90
Output: c
Problem: the side of a square is increased by 30 % then how much % does its area increases ? 
Options: a ) 52.65 , b ) 69 , c ) 50.75 , d ) 42.75 , e ) 52.75
Output: b
Problem: what will be the percentage increase in the area of the cube ' s surface if each of the cube ' s edges grows by 40 % ? 
Options: a ) 95 % , b ) 90 % , c ) 85 % , d ) 96 % , e ) 25 %
Output: d
Problem: if the height of a cone is increased by 140 % then its volume is increased by ? 
Options: ['a ) 100', 'b ) 140', 'c ) 998', 'd ) 729', 'e ) 2879']
Output: b
Problem: a rectangular grass field is 75 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 1 per sq m ? 
Options: a ) 675 , rs . 1350 , b ) 575 , rs . 675 , c ) 1350 , rs . 675 , d ) 1450 , rs . 775 , e ) 1550 , rs . 875
Output: b
Problem: two equilateral triangles of side 12 cm are placed one on top of another , such that a 6 pointed star is formed . if the six verticals lie on a circle what is the area of the circle not enclosed by the star ? 
Options: ['a ) 68', 'b ) 83', 'c ) 57', 'd ) 61', 'e ) 62']
Output: a
Problem: a circular logo is enlarged to fit the lid of a jar . the new diameter is 20 per cent larger than the original . by what percentage has the area of the logo increased ? 
Options: a ) 50 , b ) 80 , c ) 100 , d ) 44 , e ) 250
Output: d
Problem: the edge of a cube is 4 a cm . find its surface ? 
Options: a ) 24 a 8 , b ) 24 a 4 , c ) 96 a 2 , d ) 24 a 2 , e ) 24 a 7
Output: c
Problem: the length and breadth of a rectangle is increased by 10 % and 25 % respectively . what is the increase in the area ? 
Options: ['a ) 37.2 %', 'b ) 37.5 %', 'c ) 30.2 %', 'd ) 37.7 %', 'e ) 33.2 %']
Output: b
Problem: the sides of a square region , measured to the nearest centimeter , are 4 centimeters long . the least possible value of the actual area of the square region is 
Options: a ) 15.25 sq cm , b ) 18.25 sq cm , c ) 12.25 sq cm , d ) 21.25 sq cm , e ) 25.25 sq cm
Output: c
Problem: in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 3.5 ) , ( 7 , 0 ) , ( 0 , - 3.5 ) , ( - 7 , 0 ) ? 
Options: a ) 56 , b ) 88 , c ) 112 , d ) 49 , e ) 120
Output: d
Problem: what is the area of an obtuse angled triangle whose two sides are 8 and 12 and the angle included between the two sides is 150 o ? 
Options: ['a ) 24 sq units', 'b ) 48 sq units', 'c ) 24 under root 3', 'd ) 48 under root 3', 'e ) such a triangle does not exist']
Output: a
Problem: a rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn . the area of the lawn is 2109 sq . m . what is the width of the road ? 
Options: a ) 5 m , b ) 4 m , c ) 2 m , d ) 3 m , e ) 6 m
Output: d
Problem: how many odd numbers between 10 and 1,200 are the squares of integers ? 
Options: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16
Output: e
Problem: the difference of the areas of two squares drawn on two line segments of different lengths is 32 sq . cm . find the length of the greater line segment if one is longer than the other by 2 cm . 
Options: a ) 6 cm , b ) 7 cm , c ) 9 cm , d ) 11 cm , e ) none
Output: c
Problem: three interviewers , a , b , and c are interviewing 40 applicants . only with three interviewers ' admission can an applicant be admitted . if interviewer b admitted 15 applicants , a admitted 17 applicants , and c admitted 20 applicants , at least how many applicants get the admission ? 
Options: ['a ) 8', 'b ) 2', 'c ) 6', 'd ) 0', 'e ) 12']
Output: d
Problem: the perimeter of a rectangle is equal to the perimeter of aright - angled triangle of height 12 cm . if the base of the triangle is equal to the breadth of the rectangle , what is the length of the rectangle ” 
Options: ['a ) 18 cm', 'b ) 24 cm', 'c ) 22 cm', 'd ) data inadequate', 'e ) none of these']
Output: d
Problem: the surface of a cube is 96 sq cm . find its volume ? 
Options: ['a ) 8 cc', 'b ) 9 cc', 'c ) 2 cc', 'd ) 4 cc', 'e ) 64 cc']
Output: e
Problem: if the sides of a square are multiplied by sqrt ( 20 ) , the area of the original square is how many times as large as the area of the resultant square ? 
Options: a ) 2 % , b ) 5 % , c ) 20 % , d ) 50 % , e ) 150 %
Output: b
Problem: what should be added to 4440 so that it may become a perfect square ? 
Options: ['a ) 44', 'b ) 45', 'c ) 46', 'd ) 47', 'e ) 49']
Output: e
Problem: find the perimeter of a triangle with sides measuring 5 centimeters , 20 centimeters and 30 centimeters . 
Options: a ) 30 cm , b ) 40 cm , c ) 50 cm , d ) 55 cm , e ) 60 cm
Output: d
Problem: the area of a circular field is 13.86 hectares . find the cost of fencing it at the rate of rs . 4.70 per metre . 
Options: a ) 2399 , b ) 6204 , c ) 2999 , d ) 5808 , e ) 2888
Output: b
Problem: what would be the length of the diagonal of a square plot whose area is equal to the area of a rectangular plot of 45 m length and 40 m width ? 
Options: ['a ) 42.5 m', 'b ) 60 m', 'c ) 4800 m', 'd ) data inadequate', 'e ) none of these']
Output: b
Problem: the percentage increase in the area of rectangle , if each of its side is increased by 20 % is ? 
Options: a ) 30 % , b ) 44 % , c ) 50 % , d ) 55 % , e ) 60 %
Output: b
Problem: the ratio , by volume , of soap to alcohol to water in a certain solution is 4 : 20 : 60 . the solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved . if the altered solution will contain 100 cubic centimeters of alcohol , how many cubic centimeters of water will it contain ? 
Options: a ) 1200 , b ) 1250 , c ) 1300 , d ) 1400 , e ) 1450
Output: a
Problem: a circular rim a having a diameter of 45 inches is rotating at the rate of x inches / min . another circular rim b with a diameter of 30 inches is rotating at the rate of y inches / min . what is the value of y in terms of x , if both the rims reach their starting positions at the same time after every rotation . 
Options: ['a ) 3 x / 2', 'b ) 4 x / 5', 'c ) 7 x / 5', 'd ) 5 x / 7', 'e ) 3 x / 4']
Output: a
Problem: the sides of a cube measures 8 cm . if the surface area of the cube is the same as a ball , what is the radius of the ball ? round to the nearest whole number . 
Options: a ) 3 , b ) 8 , c ) 7 , d ) 6 , e ) 5
Output: d
Problem: if a 5 cm cube is cut into 1 cm cubes , then what is the percentage increase in the surface area of the resulting cubes ? 
Options: a ) 100 % , b ) 200 % , c ) 300 % , d ) 400 % , e ) 500 %
Output: d
Problem: the sides of a rectangle are in the ratio of 6 : 5 and its area is 1331 sq . m . find the perimeter of rectangle . 
Options: a ) 121 , b ) 123 , c ) 125 , d ) 122 , e ) 126
Output: a
Problem: the volume of a certain substance is always directly proportional to its weight . if 48 cubic inches of the substance weigh 112 ounces , what is the volume , in cubic inches , of 56 ounces of this substance ? 
Options: a ) 27 , b ) 36 , c ) 42 , d ) 24 , e ) 147
Output: d
Problem: what is the area of a square field whose diagonal of length 12 m ? 
Options: a ) 288 , b ) 72 , c ) 200 , d ) 112 , e ) 178
Output: b
Problem: a rectangular metallic piece of paper that covers exactly the area of a cube . the length of the piece of paper is 48 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 8 , b ) b 22 , c ) c 27 , d ) d 40 , e ) e 51
Output: a
Problem: a semicircle has a radius of 12 . what is the approximate perimeter of the semicircle ? 
Options: a ) 58 , b ) 62 , c ) 66 , d ) 70 , e ) 74
Output: b
Problem: if the area of a square with sides of length 11 centimeters is equal to the area of a rectangle with a width of 11 centimeters , what is the length of the rectangle , in centimeters ? 
Options: a ) 4 , b ) 8 , c ) 11 , d ) 16 , e ) 18
Output: c
Problem: if the sides of a triangle are 78 cm , 72 cm and 30 cm , what is its area ? 
Options: a ) 120 cm 2 , b ) 765 cm 2 , c ) 1080 cm 2 , d ) 197 cm 2 , e ) 275 cm 2
Output: c
Problem: the length and breadth of a rectangle is increased by 3 % and 6 % respectively . what is the increase in the area ? 
Options: a ) 9.18 , b ) 9.25 , c ) 9.5 , d ) 8.98 , e ) 8.88
Output: a
Problem: if the sides of a rectangle are increased by 25 % , what is the percentage increase in the area ? 
Options: a ) 54.25 % , b ) 56.25 $ , c ) 53.25 % , d ) 55.25 % , e ) 58.25 %
Output: b
Problem: a rectangular photograph is surrounded by a border that is 2 inch wide on each side . the total area of the photograph and the border is m square inches . if the border had been 4 inches wide on each side , the total area would have been ( m + 94 ) square inches . what is the perimeter of the photograph , in inches ? 
Options: a ) 34 , b ) 36 , c ) 23 , d ) 40 , e ) 42
Output: c
Problem: in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 3.5 ) , ( 6 , 0 ) , ( 0 , - 3.5 ) , ( - 6 , 0 ) ? 
Options: a ) 42 , b ) 56 , c ) 88 , d ) 112 , e ) 116
Output: a
Problem: the perimeter of a triangle is 48 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 ) 60 , d ) 55 , e ) 35
Output: c
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 ) 29 π , b ) 18 π , c ) 25 π , d ) 37 π , e ) 41 π
Output: a
Problem: one side of a rectangular field is 14 m and one of its diagonal is 17 m . find the area of the field . 
Options: a ) 134.4 , b ) 120 , c ) 150 , d ) 180 , e ) none
Output: a
Problem: a cube of edge 17 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 ) 16.37 cm , e ) 20.62 cm
Output: d
Problem: a circle in the coordinate plane passes through points ( - 3 , - 2 ) and ( - 1 , 4 ) . what is the smallest possible area of that circle ? 
Options: a ) 13 π , b ) 26 π , c ) 10 π , d ) 52 π , e ) 64 π
Output: c
Problem: a rectangle having length 89 cm and width 34 cm . if the length of the rectangle is increased by eighty percent then how much percent the breadth should be decreased so as to maintain the same area . 
Options: a ) 25 % , b ) 33.33 % , c ) 47.33 % , d ) 75 % , e ) none of these
Output: c