niryuu/sni-each-converted huggingface dataset:
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 60 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 ) 360 cm
Output: e
Problem: the length of the rectangular field is double its width . inside the field there is square shaped pond 8 m long . if the area of the pond is 1 / 72 of the area of the field . what is the length of the field ? 
Options: a ) 73 , b ) 32 , c ) 34 , d ) 43 , e ) 96
Output: e
Problem: if a 6 cm cube is cut into 1 cm cubes , then what is the percentage increase in the surface area of the resulting cubes ? 
Options: a ) 300 % , b ) 400 % , c ) 500 % , d ) 600 % , e ) 750 %
Output: c
Problem: the length of a rectangular landscape is 3 times its breadth . there is a playground in it whose area is 1600 square mtr & which is 1 / 3 rd of the total landscape . what is the length of the landscape ? 
Options: a ) 90 , b ) 160 , c ) 150 , d ) 120 , e ) 140
Output: c
Problem: if the perimeter of δ acd is 9 + 3 √ 3 , what is the perimeter of equilateral triangle δ abc ? 
Options: ['a ) 9', 'b ) 18 − 3 √ 3', 'c ) 18', 'd ) 18 + 3 √ 3', 'e ) 27']
Output: c
Problem: a number when divided by 6 leaves a remainder 3 . when the square of the same number is divided by 6 , the remainder is 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Output: d
Problem: the length of the rectangular field is double its width . inside the field there is square shaped pond 8 m long . if the area of the pond is 1 / 18 of the area of the field . what is the length of the field ? 
Options: a ) 23 , b ) 32 , c ) 34 , d ) 43 , e ) 48
Output: e
Problem: what is the total surface area in square meters of a rectangular solid whose length is 10 meters , width is 9 meters , and depth is 6 meters ? 
Options: a ) 400 m 2 , b ) 404 m 2 , c ) 408 m 2 , d ) 401 m 2 , e ) 412 m 2
Output: c
Problem: which is the smallest number divides 2800 and gives a perfect square . 
Options: ['a ) 5', 'b ) 6', 'c ) 7', 'd ) 8', 'e ) 9']
Output: c
Problem: abcd is a parallelogram . bd = 2 . the angles of triangle bcd are all equal . what is the perimeter of the parallelogram ? 
Options: ['a ) 12', 'b ) 9 √ 3', 'c ) 9', 'd ) 8', 'e ) 3 √ 3']
Output: d
Problem: the lateral surface area of cuboid length 12 m , breadth 8 m and height 6 m . 
Options: a ) 540 , b ) 240 , c ) 440 , d ) 140 , e ) 340
Output: b
Problem: the number 42 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 ) 10 , c ) 15 , d ) 14 , e ) 13
Output: b
Problem: in measuring the sides of a rectangle , one side is taken 16 % in excess and other 5 % in deficit . find the error percentage in the area calculated from these measurements . 
Options: a ) 3.5 % , b ) 2.4 % , c ) 10.2 % , d ) 5 % , e ) 2.6 %
Output: c
Problem: if the area of a circle decreases by 42 % , then the radius of a circle decreases by 
Options: a ) 20 % , b ) 18 % , c ) 24 % , d ) 64 % , e ) none of these
Output: c
Problem: if the space diagonal of cube c is 5 inches long , what is the length , in inches , of the diagonal of the base of cube c ? 
Options: ['a ) 5 / ( √ 6 )', 'b ) 5 · √ ( 2 / 3 )', 'c ) 5 · √ ( 3 / 2 )', 'd ) 5 · √ 3', 'e ) 5 · √ 6']
Output: b
Problem: each of the 39 points is placed either inside or on the surface of a perfect sphere . if 72 % or fewer of the points touch the surface , what is the maximum number of segments which , if connected from those points to form chords , could be the diameter of the sphere ? 
Options: a ) 7 , b ) 11 , c ) 13 , d ) 14 , e ) 38
Output: d
Problem: the length of rectangle is thrice its breadth and its perimeter is 112 m , find the area of the rectangle ? 
Options: a ) 432 sq m , b ) 356 sq m , c ) 452 sq m , d ) 588 sq m , e ) 525 sq m
Output: d
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 4 feet and a height of 10 feet , how far ( in feet ) did the oil level drop in the stationary tank ? 
Options: a ) 1.6 , b ) 1 , c ) 0.4 , d ) 0.16 , e ) 0.016
Output: e
Problem: the area of a square is equal to five times the area of a rectangle of dimensions 20 cm * 16 cm . what is the perimeter of the square ? 
Options: a ) 289 cm , b ) 160 cm , c ) 829 cm , d ) 288 cm , e ) 289 cm
Output: b
Problem: in the rectangular coordinate system , points ( 2 , 0 ) and ( – 2 , 0 ) both lie on circle c . what is the maximum possible value of the radius of c ? 
Options: a ) 2 , b ) 4 , c ) 8 , d ) 16 , e ) none of the above
Output: a
Problem: the area of sector of a circle whose radius is 12 metro and whose angle at the center is 30 ° is ? 
Options: ['a ) 35 m 2', 'b ) 36 m 2', 'c ) 37 m 2', 'd ) 38 m 2', 'e ) 40 m 2']
Output: c
Problem: in a certain circle there are 10 points . what is the number of the triangles connecting 5 points of the 10 points ? 
Options: a ) 80 , b ) 96 , c ) 108 , d ) 120 , e ) 252
Output: e
Problem: the slant height of a cone is 20 cm and radius of the base is 10 cm , find the curved surface of the cone . 
Options: a ) 330 , b ) 159 , c ) 150 , d ) 200 , e ) 628
Output: e
Problem: there are two circles of different radii . the are of a square is 784 sq cm and its side is twice the radius of the larger circle . the radius of the larger circle is seven - third that of the smaller circle . find the circumference of the smaller circle . 
Options: a ) 165 ∏ cm , b ) 65 ∏ cm , c ) 12 ∏ cm , d ) 14 ∏ cm , e ) 16 ∏ cm
Output: c
Problem: in a company of 160 employees , 90 are females . a total of 80 employees have advanced degrees and the rest have a college degree only . if 40 employees are males with college degree only , how many employees are females with advanced degrees ? 
Options: a ) 40 , b ) 45 , c ) 50 , d ) 55 , e ) 60
Output: c
Problem: find the area of a rhombus one side of which measures 20 cm and one diagonal is 24 cm ? 
Options: a ) 320 cm 2 , b ) 280 cm 2 , c ) 384 cm 2 , d ) 290 cm 2 , e ) 350 cm 2
Output: c
Problem: the ratio between the perimeter and the breadth of a rectangle is 5 : 1 . if the area of the rectangle is 216 sq . cm , what is the length of the rectangle ? 
Options: ['a ) 18 cm', 'b ) 20 cm', 'c ) 22 cm', 'd ) 24 cm', 'e ) 25 cm']
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 0.2 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: e
Problem: the area of an isosceles trapezoid with sides of length 5 and bases of length 10 and 16 is ? 
Options: a ) 48 , b ) 40 , c ) 52 , d ) 54 , e ) 58
Output: c
Problem: the roof of an apartment building is rectangular and its length is 3 times longer than its width . if the area of the roof is 588 feet squared , what is the difference between the length and the width of the roof ? 
Options: a ) 28 . , b ) 40 . , c ) 42 . , d ) 44 . , e ) 46 .
Output: a
Problem: the perimeter of a rectangular yard is completely surrounded by a fence that measures 14 meters . what is the length of the yard if the area of the yard is 6 meters squared ? 
Options: a ) 8 , b ) 6 , c ) 2 , d ) 4 , e ) 3
Output: b
Problem: the volumes of two cones are in the ratio 1 : 12 and the radii of the cones are in the ratio of 1 : 3 . what is the ratio of their heights ? 
Options: ['a ) a ) 3 : 4', 'b ) b ) 2 : 7', 'c ) c ) 2 : 2', 'd ) d ) 2 : 1', 'e ) e ) 2 : 9']
Output: a
Problem: two cubes of their volumes in the ratio 64 : 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: e
Problem: the perimeter of a rhombus is 120 feet and one of its diagonal has a length of 40 feet . find the area of the rhombus . 
Options: ['a ) 100 sqrt ( 5 ) ft . sq', 'b ) 400 sqrt ( 5 ) ft . sq', 'c ) 500 sqrt ( 5 ) ft . sq', 'd ) 200 sqrt ( 5 ) ft . sq', 'e ) 150 sqrt ( 5 ) ft . sq']
Output: b
Problem: on dividing a number by 5 , we get 3 as remainder . what will be the remainder when the square of this number is divided by 5 ? 
Options: ['a ) 0', 'b ) 1', 'c ) 3', 'd ) 4', 'e ) 2']
Output: d
Problem: the ratio between the length and the breadth of a rectangular park is 3 : 2 . if a man cycling along theboundary of the park at the speed of 12 km / hr completes one round in 8 min , then the area of the park is ? 
Options: a ) 163600 m , b ) 178600 m , c ) 153600 m , d ) 163600 m , e ) 173600 m
Output: c
Problem: for any even integer p , 300 multiplied by p is square of an integer . what is the least value of p ? 
Options: a ) 3 , b ) 4 , c ) 10 , d ) 12 , e ) 14
Output: a
Problem: 61 small identical cubes are used to form a large cube . how many more cubes are needed to add one top layer of small cube all over the surface of the large cube ? 
Options: a ) 64 , b ) 128 , c ) 152 , d ) 155 , e ) 256
Output: d
Problem: the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each . the radius of the sphere is 
Options: a ) 3 cm , b ) 4 cm , c ) 6 cm , d ) 8 cm , e ) none
Output: c
Problem: a equilateral triangle having one side 5 m . in this triangle there is a square of side 2 m . calculate the percentage of area outside square in that triangle . 
Options: ['a ) 68', 'b ) 54', 'c ) 63.04', 'd ) 62', 'e ) 60']
Output: c
Problem: given two cylindrical containers - - a and b . cylinder a has a diameter of 12 meters and a height of 10 meters . cylinder b has a radius of 2 meters and a height of 4 meters . if cylinder a is filled to capacity with water , how many cylinder b will be filled to capacity with the content of cylinder a ? 
Options: ['a ) 23', 'b ) 22', 'c ) 21', 'd ) 25', 'e ) 24']
Output: b
Problem: the cube root of . 000216 is : 
Options: ['a ) 0.6', 'b ) 0.06', 'c ) 0.9', 'd ) 0.2', 'e ) 0.61']
Output: b
Problem: in the coordinate plane , one of the vertices of a square is the point ( - 4 , - 4 ) . if the diagonals of that square intersect at point ( 3 , 2 ) , what is the area of that square ? 
Options: a ) 180 , b ) 196 , c ) 160 , d ) 164 , e ) 172
Output: b
Problem: the ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 5808 sq cm . what is the ratio of the width and the area of the rectangle ? 
Options: a ) 1 : 76 , b ) 1 : 80 , c ) 1 : 84 , d ) 1 : 88 , e ) 1 : 92
Output: d
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 . 55 ? 
Options: a ) s . 3944 , b ) s . 3948 , c ) s . 3942 , d ) s . 3965 , e ) s . 3740
Output: e
Problem: you buy a piece of land with an area of â ˆ š 400 , how long is one side of the land plot ? 
Options: a ) 28 , b ) 29 , c ) 30 , d ) 20 , e ) 32
Output: d
Problem: if the length of rectangle is three times of its breadth . if the area of rectangle is 6075 sq . m , then calculate the length ? 
Options: ['a ) 145', 'b ) 135', 'c ) 75', 'd ) 140', 'e ) none of these']
Output: b
Problem: huey ' s hip pizza sells two sizes of square pizzas : a small pizza that measures 14 inches on a side and costs $ 10 , and a large pizza that measures 21 inches on a side and costs $ 20 . if two friends go to huey ' s with $ 30 apiece , how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone ? 
Options: a ) 5 square inches , b ) 10 square inches , c ) 49 square inches , d ) 25 square inches , e ) 350 square inches
Output: c
Problem: if the sides of a cube are in the ratio 4 : 3 . what is the ratio of their diagonals ? 
Options: a ) 4 : 3 , b ) 4 : 8 , c ) 4 : 1 , d ) 4 : 2 , e ) 4 : 7
Output: a
Problem: a rectangular swimming pool is 20 feet by 22 feet . a deck that has uniform width surrounds the pool . the total area of the pool and deck is 728 square feet . what is the width of the deck ? 
Options: ['a ) 2', 'b ) 4', 'c ) 3', 'd ) 5', 'e ) 6']
Output: c
Problem: rectangle a has sides a and b , and rectangle b has sides c and d . if a / c = b / d = 4 / 5 , what is the ratio of rectangle a ’ s area to rectangle b ’ s area ? 
Options: a ) 5 / 4 , b ) 25 / 16 , c ) 4 / 5 , d ) 16 / 25 , e ) 16 / 5
Output: d
Problem: in the coordinate plane , one of the vertices of a square is the point ( - 3 , - 4 ) . if the diagonals of that square intersect at point ( 4 , 2 ) , what is the area of that square ? 
Options: a ) 196 , b ) 125 , c ) 140 , d ) 128 , e ) 134
Output: a
Problem: find the smallest number which should be multiplied with 1152 to make it a perfect square . 
Options: ['a ) 2', 'b ) 1', 'c ) 3', 'd ) 5', 'e ) 6']
Output: a
Problem: the ratio of male to female in a class is 2 : 3 . the career preference of the students in the class are to be represented in a circle graph . if the area of the graph allocated to each career preference is to be proportional to the number of students who have that career preference , how many degrees of the circle should be used to represent a career that is preferred by one of the males and one of the females in the class ? 
Options: ['a ) a ) 160 degree', 'b ) b ) 168 degree', 'c ) c ) 191 degree', 'd ) d ) 72 degree', 'e ) e ) 204 degree']
Output: d
Problem: if the length of the sides of two cubes are in the ratio 4 : 1 , what is the ratio of their total surface area ? 
Options: ['a ) 4 : 1', 'b ) 6 : 1', 'c ) 8 : 1', 'd ) 16 : 1', 'e ) 64 : 1']
Output: d
Problem: a square carpet with an area 169 m 2 must have 2 metres cut - off one of its edges in order to be a perfect fit for a rectangular room . what is the area of rectangular room ? 
Options: ['a ) 180 m 2', 'b ) 164 m 2', 'c ) 152 m 2', 'd ) 143 m 2', 'e ) none of these']
Output: d
Problem: the length of a rectangle is 2 cm more than the width of the rectangle . the perimeter of the rectangle is 20 cm . find the length and the width of the rectangle . 
Options: ['a ) l = 2 , w = 9', 'b ) l = 5 , w = 8', 'c ) l = 6 , w = 4', 'd ) l = 1 , w = 7', 'e ) l = 2 , w = 3']
Output: c
Problem: a small table has a length of 12 inches and a breadth of b inches . cubes are placed on the surface of the table so as to cover the entire surface . the maximum side of such cubes is found to be 4 inches . also , a few such tables are arranged to form a square . the minimum length of side possible for such a square is 48 inches . find b . 
Options: a ) 8 , b ) 16 , c ) 24 , d ) 32 , e ) 48
Output: b
Problem: a 1.5 by 2 rectangle is inscribed in circle . what is the circumference of the circle ? 
Options: ['a ) 2.5 π', 'b ) 3 π', 'c ) 3.5 π', 'd ) 4 π', 'e ) 5.5 π']
Output: a
Problem: what is the perimeter of a square with area 9 p ^ 2 / 64 ? 
Options: ['a ) 3 p / 2', 'b ) 3 p ^ 2 / 4', 'c ) 3 p', 'd ) 3 p ^ 2', 'e ) 4 p / 3']
Output: a
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 1 : 1 but were was no change in its perimeter . what is the ratio of the areas of the carpets ? 
Options: a ) 4 : 5 , b ) 9 : 10 , c ) 14 : 15 , d ) 19 : 20 , e ) 24 : 25
Output: e
Problem: the radius of a sphere is increased by 50 % . the increase in surface area of the sphere is : 
Options: a ) 168 , b ) 125 , c ) 186 , d ) 197 , e ) 191
Output: b
Problem: a circular ground whose diameter is 34 metres , has a 2 metre - broad garden around it . what is the area of the garden in square metres ? 
Options: ['a ) 226.3', 'b ) 226.2', 'c ) 228.2', 'd ) 227', 'e ) 226']
Output: a
Problem: a pyramid has a square base of 6 cm , and the four lateral faces are four congruent equilateral triangles . what is the total surface area of the pyramid in square cm ? 
Options: ['a ) 36 + 18 * sqrt ( 3 )', 'b ) 36 + 36 * sqrt ( 3 )', 'c ) 72', 'd ) 72 + 36 * sqrt ( 3 )', 'e ) 72 + 72 * sqrt ( 3 )']
Output: b
Problem: the edge of three cubes of metal is 3 dm , 4 dm and 5 dm . they are melted and formed into a single cube . find the edge of the new cube ? 
Options: ['a ) 2', 'b ) 8', 'c ) 7', 'd ) 6', 'e ) 9']
Output: d
Problem: milk is poured from a full rectangular container with dimensions 4 inches by 9 inches by 10 inches into a cylindrical container with a diameter of 6 inches . if the milk does not overflow , how many inches high will the milk reach ? 
Options: ['a ) 60 / π', 'b ) 24', 'c ) 40 / π', 'd ) 10', 'e ) 3 π']
Output: c
Problem: if n is the smallest integer such that 72 times n is the square of an integer , what is the value of n ? 
Options: a ) 2 , b ) 3 , c ) 6 , d ) 12 , e ) 24
Output: a
Problem: in measuring the sides of a rectangle , one side is taken 7 % in excess , and the other 6 % in deficit . find the error percent in the area calculated from these measurements . 
Options: a ) 0.11 % , b ) 0.7 % , c ) 0.4 % , d ) 0.6 % , e ) 0.58 %
Output: e
Problem: how many diagonals does a polygon with 19 sides have , if one of its vertices does not connect to any diagonal ? 
Options: a ) 135 , b ) 125 , c ) 120 , d ) 110 , e ) 140
Output: a
Problem: it has been raining at the rate of 5 centimeters per hour . if the rain filled a cylindrical drum with a depth of 15 centimeters , and area 300 square centimeters , how long did it take to fill the drum completely ? 
Options: ['a ) 3 hours', 'b ) 4 hours 15 minutes', 'c ) 6 hours', 'd ) 2 hours 5 minutes', 'e ) 8 hours']
Output: a
Problem: a rectangular field is to be fenced on three sides leaving a side of 34 feet uncovered . if the area of the field is 680 sq . ft , how many feet of fencing will be required ? 
Options: a ) 74 ft , b ) 88 ft , c ) 22 ft , d ) 11 ft , e ) 66 ft
Output: a
Problem: if the side of the regular hexagon above is 2 , what is the circumference of the inscribed circle ? 
Options: ['a ) 2 ∏ √ 3', 'b ) 3 ∏', 'c ) 4 ∏ / √ 3', 'd ) 2 ∏ / √ 3', 'e ) ∏ √ 3']
Output: a
Problem: the length of the rectangular field is double its width . inside the field there is square shaped pond 5 m long . if the area of the pond is 1 / 8 of the area of the field . what is the length of the field ? 
Options: ['a ) 54', 'b ) 32', 'c ) 75', 'd ) 20', 'e ) 11']
Output: d
Problem: what is the angle between the hands of a clock when time is 10 : 20 ? 
Options: a ) 90 deg , b ) 75 deg , c ) 45 deg , d ) 15 deg , e ) 30 deg
Output: a
Problem: a circular swimming pool is surrounded by a concrete wall 4 ft wide . if the area of the concrete wall surrounding the pool is 11 / 25 that of the pool , then the radius of the pool is ? 
Options: a ) 22 , b ) 20 , c ) 88 , d ) 387 , e ) 19
Output: b
Problem: a rectangular lawn of dimensions 100 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 ) a ) 3820 , b ) b ) 930 , c ) c ) 9309 , d ) d ) 4500 , e ) e ) 8302
Output: d
Problem: in the coordinate plane , one of the vertices of a square is the point ( - 3 , - 4 ) . if the diagonals of that square intersect at point ( 5 , 3 ) , what is the area of that square ? 
Options: a ) 100 , b ) 169 , c ) 225 , d ) 324 , e ) 256
Output: e
Problem: what is the area of square field whose side of length 12 m ? 
Options: a ) 225 sq m , b ) 144 sq m , c ) 586 sq m , d ) 287 sq m , e ) 296 sq m
Output: b
Problem: what will be the cost of building a fence around a square plot with area equal to 289 square feet , if the price per foot of building the fence is rs . 58 ? 
Options: a ) 3944 , b ) 3932 , c ) 3929 , d ) 3926 , e ) 3902
Output: a
Problem: a circular logo is enlarged to fit the lid of a jar . the new diameter is 40 per cent larger than the original . by what percentage has the area of the logo increased ? 
Options: a ) 50 , b ) 96 , c ) 100 , d ) 125 , e ) 250
Output: b
Problem: how many books each of volume 250 meter cube can be packed into a crate of volume 4500 meter cube 
Options: a ) 25 , b ) can not be determined , c ) 10 , d ) 15 , e ) 20
Output: b
Problem: the length of a rectangle is halved , while its breadth is tripled . wa tis the % changein area ? 
Options: ['a ) 34 %', 'b ) 45 %', 'c ) 50 %', 'd ) 60 %', 'e ) 67 %']
Output: c
Problem: if a rectangular billboard has an area of 130 square feet and a perimeter of 46 feet , what is the length of each of the longer sides ? 
Options: a ) 4 , b ) 7 , c ) 8 , d ) 13 , e ) 26
Output: d
Problem: the radius of a cylindrical vessel is 7 cm and height is 2 cm . find the whole surface of the cylinder ? 
Options: a ) 281 , b ) 396 , c ) 440 , d ) 767 , e ) 1981
Output: b
Problem: what is the perimeter of an isosceles right angled triangle . the area of the isosceles right angled triangle is 50 . 
Options: ['a ) 25', 'b ) 36', 'c ) 25', 'd ) 30', 'e ) 34.14']
Output: e
Problem: the length of a rectangle is twice its breadth . if its length is decreased by 5 cm and breadth is increased by 4 cm , the area of the rectangle is increased by 75 sq . cm . find the length of the rectangle . 
Options: a ) 20 cm , b ) 25 cm , c ) 26 cm , d ) 100 / 3 cm , e ) 23 cm
Output: d
Problem: a horse is tethered to one corner of a rectangular grassy field 42 m by 26 m with a rope 16 m long . over how much area of the field can it graze ? 
Options: a ) 154 cm 2 , b ) 308 m 2 , c ) 201 m 2 , d ) 205 m 2 , e ) none of these
Output: c
Problem: the points a ( 0 , 0 ) , b ( 0 , 4 a - 4 ) and c ( 2 a + 1 , 2 a + 6 ) form a triangle . if angle abc = 90 , what is the area of triangle abc ? 
Options: a ) 88 , b ) 98 , c ) 108 , d ) 78 , e ) 90
Output: a
Problem: a cube has a volume of 27 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 ) 216 , b ) 48 , c ) 64 , d ) 80 , e ) 100
Output: a
Problem: the largest five digit number which is a perfect cube , is : 
Options: ['a ) 85184', 'b ) 91125', 'c ) 97336', 'd ) 96806', 'e ) 99999']
Output: c
Problem: what is the length of the diagonal of a square whose area is 4 times of another square with diagonal as 5 v 2 cm ? 
Options: ['a ) 20 v 2', 'b ) 10', 'c ) 10 v 2', 'd ) 20', 'e ) 25']
Output: c
Problem: find the area of a parallelogram with base 18 cm and height 10 cm ? 
Options: a ) 281 , b ) 284 , c ) 288 , d ) 255 , e ) 180
Output: e
Problem: the sides of a square region , measured to the nearest centimeter , are 10 centimeters long . the least possible value of the actual area of the square region is 
Options: a ) 96.25 sq cm , b ) 98.25 sq cm , c ) 92.25 sq cm , d ) 100.25 sq cm , e ) 90.25 sq cm
Output: e
Problem: a rectangular with dimensions 35 inches by 45 inches is to be divided into squares of equal size . which of the following could be a length of a side of the squares ? 
Options: ['a ) a ) 4 inches', 'b ) b ) 6 inches', 'c ) c ) 5 inches', 'd ) d ) 8 inches', 'e ) e ) 10 inches']
Output: c
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 t of that hemisphere ? 
Options: a ) 6 / π , b ) 9 / π , c ) 6 , d ) 9 , e ) 12
Output: d
Problem: the slant height of a right circular cone is 10 m and its height is 8 m . find the area of its curved surface . 
Options: ['a ) 30 pi m ^ 2', 'b ) 40 pi m ^ 2', 'c ) 60 pi m ^ 2', 'd ) 80 pi m ^ 2', 'e ) 100 pi m ^ 2']
Output: c
Problem: if the difference between the length and breadth of a rectangle is 23 m and its perimeter is 226 m , what is its area ? 
Options: a ) 2510 , b ) 2535 , c ) 3060 , d ) 2515 , e ) 2520
Output: c
Problem: the parameter of a square is equal to the perimeter of a rectangle of length 24 cm and breadth 16 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) 
Options: a ) 77.14 cm , b ) 47.14 cm , c ) 84.92 cm , d ) 94.94 cm , e ) 31.42 cm
Output: e
Problem: if a rectangular room measures 9 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 ) 240,000 , c ) 18 , 000,000 , d ) 24 , 000,000 , e ) 240 , 000,000
Output: c
Problem: in how many q ways can 5 people from a group of 6 people be seated around a circular table 
Options: ['a ) 56', 'b ) 80', 'c ) 100', 'd ) 120', 'e ) 144']
Output: e
Problem: find the smallest number which should be multiplied with 36963 to make it a perfect square . 
Options: a ) 4 , b ) 7 , c ) 4 , d ) 3 , e ) 6
Output: d
Problem: the length of a rectangle is two - seventh of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 5929 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 25 units ? 
Options: ['a ) 660 sq . units', 'b ) 440 sq . units', 'c ) 770 sq . units', 'd ) 550 sq . units', 'e ) 220 sq . units']
Output: d
Problem: carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 5 inches by 24 inches and jordan ' s rectangle is 12 inches long , how wide is jordan ' s rectangle , in inches ? 
Options: a ) 25 , b ) 23 , c ) 22 , d ) 20 , e ) 10
Output: e
Problem: the area of a circle is added to its diameter , and the circumference is then subtracted from this total , the result is 10 . what is the radius of the circle ? 
Options: ['a ) 2 * pi', 'b ) pi', 'c ) 2', 'd ) 4 * pi', 'e ) 4']
Output: e
Problem: an 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 ) 3 / 7', 'b ) 5 / 8', 'c ) 3 / 10', 'd ) 5 / 11', 'e ) 6 / 11']
Output: e
Problem: a cylindrical bucket of height 36 cm and radius 21 cm is filled with sand . the bucket is emptied on the ground and a conical heap of sand is formed , the height of the heap being 12 cm . the radius of the heap at the base is : 
Options: ['a ) 63 cm', 'b ) 53 cm', 'c ) 56 cm', 'd ) 66 cm', 'e ) none of these']
Output: a
Problem: a box measuring 49 inches long by 21 inches wide by 14 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ? 
Options: a ) 17 , b ) 42 , c ) 54 , d ) 108 , e ) 864
Output: b
Problem: the edge of a cube is 5 a cm . find its surface ? 
Options: a ) 150 a 2 cm 2 , b ) 170 a 2 cm 2 , c ) 125 a 2 cm 2 , d ) 175 a 2 cm 2 , e ) 120 a 2 cm 2
Output: a
Problem: a certain rectangular window is three times as long as it is wide . if its perimeter is 32 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 ) 12 by 4', 'e ) 9 by 3']
Output: d
Problem: what is the angle between the hands of a clock when time is 16 : 40 ? 
Options: a ) 625 deg , b ) 420 deg , c ) 145 deg , d ) 150 deg , e ) 300 deg
Output: b
Problem: the surface of a cube is 294 sq cm . find its volume ? 
Options: a ) 8 cc , b ) 9 cc , c ) 2 cc , d ) 343 cc , e ) 6 cc
Output: d
Problem: how many diagonals does a polygon with 13 sides have , if one of its vertices does not connect to any diagonal ? 
Options: a ) 65 , b ) 62 , c ) 58 , d ) 54 , e ) 60
Output: d
Problem: if the length of an edge of cube p is thrice the length of an edge of cube q , what is the ratio of the volume of cube q to the volume of cube p ? 
Options: ['a ) 1 / 4', 'b ) 1 / 5', 'c ) 1 / 6', 'd ) 1 / 27', 'e ) 1 / 9']
Output: d
Problem: if a rectangular billboard has an area of 91 square feet and a perimeter of 40 feet , what is the length of each of the shorter sides ? 
Options: a ) 4 , b ) 7 , c ) 8 , d ) 13 , e ) 26
Output: b
Problem: the area of a circular field is 13.86 hectares . find the cost of fencing it at the rate of rs . 4.60 per metre . 
Options: a ) 2399 , b ) 3888 , c ) 2999 , d ) 5808 , e ) 6072
Output: e
Problem: 108 . triangle a ’ s base is 12 % greater than the base of triangle b , and a ’ s height is 12 % 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 ) 0.7 % less , c ) equal to each other , d ) 1 % more , e ) 9 % more
Output: b
Problem: the two sides of a triangle are 32 and 68 . the area is 960 sq . cm . find the third side of triangle ? 
Options: ['a ) 45', 'b ) 50', 'c ) 60', 'd ) 70', 'e ) 80']
Output: c
Problem: the cost of the paint is rs . 30 per kg . if 1 kg of paint covers 18 sq . ft , how much will it cost to paint outside of a cube having 6 feet each side 
Options: a ) rs . 962 , b ) rs . 672 , c ) rs . 540 , d ) rs . 876 , e ) none of these
Output: c
Problem: a football field is 9600 square yards . if 1200 pounds of fertilizer are spread evenly across the entire field , how many pounds of fertilizer were spread over an area of the field totaling 5600 square yards ? 
Options: ['a ) 450', 'b ) 600', 'c ) 700', 'd ) 2400', 'e ) 3200']
Output: c
Problem: how much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 13 inches than that of a rectangular sheet of paper measuring 6.5 inches by 11 inches ? 
Options: ['a ) 50 %', 'b ) 87 %', 'c ) 100 %', 'd ) 187 %', 'e ) 200 %']
Output: c
Problem: the area of a square is equal to three times the area of a rectangle of dimensions 3 cm * 9 cm . what is the perimeter of the square ? 
Options: a ) 30 , b ) 36 , c ) 46 , d ) 66 , e ) 76
Output: b
Problem: the area of a square garden is a square feet and the perimeter is p feet . if a = 2 p + 26.25 , what is the perimeter of the garden , in feet ? 
Options: a ) 28 , b ) 36 , c ) 40 , d ) 42 , e ) 64
Output: d
Problem: a diagonal of a polygon is an segment between two non - adjacent vertices of the polygon . how many diagonals does a regular 10 - sided polygon have ? 
Options: a ) 875 , b ) 35 , c ) 1425 , d ) 2025 , e ) 2500
Output: b
Problem: what is the total surface area in square meters of a rectangular solid whose length is 8 meters , width is 7 meters , and depth is 4 meters ? 
Options: a ) 132 m 2 , b ) 145 m 2 , c ) 165 m 2 , d ) 152 m 2 , e ) 120 m 2
Output: a
Problem: the parameter of a square is equal to the perimeter of a rectangle of length 22 cm and breadth 20 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . 
Options: a ) 23.56 , b ) 33.0 , c ) 23.55 , d ) 23.53 , e ) 23.57
Output: b
Problem: the water level in a rectangular swimming pool measuring 20 feet by 25 feet is to be lowered by 6 inches . how many gallons of water must be removed ? ( 1 cu ft = 7.5 gallons ) 
Options: ['a ) 100', 'b ) 250', 'c ) 1875', 'd ) 1200', 'e ) 5625']
Output: c
Problem: if the length , breadth and the height of a cuboid are in the ratio 6 : 5 : 4 and if the total surface area is 33300 cm 2 cm 2 , then the length , breadth and height in cms , are respectively . 
Options: ['a ) 90 , 85,60', 'b ) 85 , 75,60', 'c ) 90 , 75,70', 'd ) 90 , 75,60', 'e ) none']
Output: d
Problem: the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 150 square centimeters , what is the length of the rectangle in centimeters ? 
Options: a ) 15 , b ) 16 , c ) 17 , d ) 18 , e ) 19
Output: a
Problem: a wooden cube whose edge length is 5 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 ) 70.6 % , b ) 74.5 % , c ) 78.4 % , d ) 82.1 % , e ) 86.9 %
Output: c
Problem: the length of rectangle is thrice its breadth and its perimeter is 40 m , find the area of the rectangle ? 
Options: a ) 432 , b ) 212 , c ) 75 , d ) 992 , e ) 212
Output: c
Problem: a rectangular block 15 cm by 30 cm by 75 cm is cut into an exact number of equal cubes . find the least possible number of cubes ? 
Options: ['a ) 6', 'b ) 40', 'c ) 15', 'd ) 10', 'e ) 22']
Output: d
Problem: the perimeter of a triangle is 35 cm and the inradius of the triangle is 4.5 cm . what is the area of the triangle ? 
Options: a ) 22 , b ) 75 , c ) 78 , d ) 54 , e ) 23
Output: c
Problem: a rectangular field has a length 10 meters more than it is width . if the area of the field is 144 , what is the length ( in meters ) of the rectangular field ? 
Options: a ) 16 , b ) 18 , c ) 20 , d ) 22 , e ) 24
Output: b
Problem: the length and breadth of a rectangle is increased by 30 % and 45 % respectively . what is the increase in the area ? 
Options: a ) 88.25 , b ) 87.5 , c ) 86.0 , d ) 88.0 , e ) 88.5
Output: e
Problem: three table runners have a combined area of 208 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 ) 22 square inches', 'b ) 20 square inches', 'c ) 24 square inches', 'd ) 28 square inches', 'e ) 30 square inches']
Output: a
Problem: what is the measure of the angle w made by the diagonals of the any adjacent sides of a cube . 
Options: a ) 30 , b ) 45 , c ) 60 , d ) 75 , e ) 90
Output: c
Problem: the diagonal of a square is twice the side of equilateral triangle then the ratio of area of the triangle to the area of square is ? 
Options: ['a ) 3 √ 9', 'b ) 3 √ 8', 'c ) 3 √ 7', 'd ) 3 √ 5', 'e ) 3 √ 1']
Output: b
Problem: danny is sitting on a rectangular box . the area of the front face of the box is half the area of the top face , and the area of the top face is 1.5 times the area of the side face . if the volume of the box is 192 , what is the area of the side face of the box ? 
Options: a ) 13 , b ) 16 , c ) 18 , d ) 29 , e ) 32
Output: e
Problem: a football field is 7200 square yards . if 1200 pounds of fertilizer are spread evenly across the entire field , how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards ? 
Options: a ) 450 , b ) 600 , c ) 750 , d ) 2400 , e ) 3200
Output: b
Problem: the ratio of the volumes of two cubes is 729 : 343 . what is the ratio of their total surface areas ? 
Options: a ) 81 : 49 , b ) 81 : 122 , c ) 81 : 124 , d ) 81 : 126 , e ) 81 : 129
Output: a
Problem: in two triangles , the ratio of the areas is 4 : 3 and the ratio of their heights is 3 : 4 . find the ratio of their bases . 
Options: ['a ) 2 : 3', 'b ) 4 : 5', 'c ) 16 : 9', 'd ) 7 : 9', 'e ) 8 : 5']
Output: c
Problem: a rectangular lawn of length 200 m by 120 m has two roads running along its center , one along the length and the other along the width . if the width of the roads is 5 m what is the area covered by the two roads ? 
Options: ['a ) 400', 'b ) 1550', 'c ) 1575', 'd ) 1600', 'e ) 1625']
Output: c
Problem: the perimeter of a triangle is 36 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ? 
Options: a ) 38 cm 2 , b ) 27 cm 2 , c ) 45 cm 2 , d ) 25 cm 2 , e ) 35 cm 2
Output: c
Problem: the slant height of a cone is 18 cm and radius of the base is 8 cm , find the curved surface of the cone ? 
Options: a ) 26 , b ) 452 , c ) 450 , d ) 440 , e ) 28
Output: b
Problem: a squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 4 feet . how many feet does the squirrel travels if the post is 12 feet tall and 3 feet in circumference ? 
Options: a ) 9 feet , b ) 12 feet , c ) 13 feet , d ) 15 feet , e ) 18 feet
Output: a
Problem: what is the angle between the two hands of a clock when time is 8 : 30 
Options: a ) 15 degree , b ) 45 degree , c ) 55 degree , d ) 75 degree , e ) 65 degree
Output: d
Problem: a hall is 6 meters long and 6 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 ) 96 , b ) 100 , c ) 104 , d ) 108 , e ) 112
Output: d
Problem: in may , the grounds keeper at spring lake golf club built a circular green with an area of 36 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 ) 70', 'd ) 80', 'e ) 90']
Output: b
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 300 tickets were sold , for a total cost of $ 7,500 . how many fewer tickets were sold that night for vip seats than for general admission seats ? 
Options: a ) 190 , b ) 180 , c ) 150 , d ) 200 , e ) 300
Output: d
Problem: the perimeter of one square is 40 cm and that of another is 20 cm . find the perimeter and the diagonal of a square which is equal in area to these two combined ? 
Options: a ) 11.2 √ 2 , b ) 13 √ 2 , c ) 23 √ 2 , d ) 12 √ 4 , e ) 13 √ 9
Output: a
Problem: the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 96 square centimeters , what is the length of the rectangle in centimeters ? 
Options: a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15
Output: b
Problem: the perimeter of a square is equal to the perimeter of a rectangle of length 19 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 ) 23.5 , d ) 24.55 , e ) 25.93
Output: e
Problem: sand is poured into a box so that the box is being filled at the rate of 4 cubic feet per hour . if the empty rectangular box is 7 feet long , 6 feet wide , and 2 feet deep , approximately how many hours does it take to fill the box ? 
Options: ['a ) 20', 'b ) 21', 'c ) 22', 'd ) 23', 'e ) 24']
Output: b
Problem: if the length of the longest chord of a certain circle is 22 , what is the radius of that certain circle ? 
Options: a ) 11 , b ) 5 , c ) 10 , d ) 15 , e ) 20
Output: a
Problem: the area of a triangle is with base 8.4 m and height 5.8 m ? 
Options: a ) 11.36 m 2 , b ) 10.36 m 2 , c ) 18.36 m 2 , d ) 19.36 m 2 , e ) 24.36 m 2
Output: e
Problem: a crate measures 3 feet by 8 feet by 12 feet on the inside . a stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides . what is the radius , in feet , of the pillar with the largest volume that could still fit in the crate ? 
Options: a ) 27 , b ) 3 , c ) 6 , d ) 8 , e ) 12
Output: b
Problem: the total surface area of a cuboid length 12 m , breadth 10 m and height 8 m . 
Options: ['a ) 576', 'b ) 566', 'c ) 596', 'd ) 556', 'e ) 586']
Output: c
Problem: the radii of two cones are in ratio 2 : 1 , their volumes are equal . find the ratio of their heights . 
Options: ['a ) 1 : 4', 'b ) 1 : 3', 'c ) 1 : 2', 'd ) 1 : 5', 'e ) none of these']
Output: a
Problem: calculate the area of a triangle , if the sides of are 39 cm , 36 cm and 15 cm , what is its area ? 
Options: a ) 570 cm 2 , b ) 370 cm 2 , c ) 170 cm 2 , d ) 271 cm 2 , e ) 270 cm 2
Output: e
Problem: the ratio of the volumes of two cubes is 729 : 2197 . what is the ratio of their total surface areas ? 
Options: a ) 81 : 169 , b ) 81 : 122 , c ) 81 : 124 , d ) 81 : 126 , e ) 81 : 129
Output: a
Problem: if the radius of a circle that centers at the origin is 5 , how many points q on the circle have integer coordinates ? 
Options: a ) 4 , b ) 8 , c ) 12 , d ) 15 , e ) 20
Output: c
Problem: the sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 300 m , its area is ? 
Options: ['a ) 3000 sq m', 'b ) 1878 sq m', 'c ) 2789 sq m', 'd ) 26811 sq m', 'e ) 29762 sq m']
Output: a
Problem: find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm ? 
Options: a ) 188 cm 2 , b ) 150 cm 2 , c ) 168 cm 2 , d ) 198 cm 2 , e ) 987 cm 2
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 22 - inch screen would be how many square inches greater than the area of a square 20 - inch screen ? 
Options: a ) 2 , b ) 4 , c ) 16 , d ) 42 , e ) 40
Output: d
Problem: in the figure given below , abc and cde are two identical semi - circles of radius 2 units . b and d are the mid points of the arc abc and cde respectively . what is the area of the shaded region ? 
Options: ['a ) 4 π - 1', 'b ) 3 π - 1', 'c ) 2 π - 4', 'd ) ½ ( 3 π - 1 )', 'e ) 2 π - 2']
Output: c
Problem: the perimeter of a triangle is 22 cm and the inradius of the triangle is 3.5 cm . what is the area of the triangle ? 
Options: a ) 22 , b ) 35 , c ) 77 , d ) 54 , e ) 38
Output: e
Problem: triangle xyz is an isosceles right triangle . if side xy is longer than side yz , and the area of the triangle is 64 , what is the measure of side xy ? 
Options: a ) 4 , b ) 16 , c ) 8 , d ) 8 √ 2 , e ) can not be determined from the information provided
Output: b
Problem: the mass of 1 cubic meter of a substance is 500 kilograms under certain conditions . what is the volume , in cubic centimeters , of 1 gram of this substance under these conditions ? ( 1 kilogram = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters ) 
Options: a ) 0.8 , b ) 1.25 , c ) 2.0 , d ) 2.5 , e ) 80.0
Output: c
Problem: the length of a rectangular plot is thrice its width . if the area of the rectangular plot is 588 sq meters , then what is the width ( in meters ) of the rectangular plot ? 
Options: a ) 14 , b ) 16 , c ) 18 , d ) 20 , e ) 22
Output: a
Problem: there is a square with sides of 13 . what is the area of the biggest circle that can be cut out of this square ? 
Options: a ) 132.73 , b ) 231.92 , c ) 530.93 , d ) 113.1 , e ) 204.33
Output: a
Problem: the monthly rent of a shop of dimension 18 feet × 20 feet is rs . 3600 . what is the annual rent per square foot of the shop ? 
Options: a ) 120 , b ) 56 , c ) 68 , d ) 87 , e ) 92
Output: a
Problem: a metallic sheet is of rectangular shape with dimensions 48 m x 38 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 ) 4830 , b ) 5632 , c ) 6420 , d ) 7500 , e ) 8960
Output: b
Problem: in triangle pqr , the angle q = 90 degree , pq = 3 cm , qr = 8 cm . x is a variable point on pq . the line through x parallel to qr , intersects pr at y and the line through y , parallel to pq , intersects qr at z . find the least possible length of xz 
Options: a ) 3.6 cm , b ) 2.4 cm , c ) 4.8 cm , d ) 2.16 cm , e ) 3.2 cm
Output: b
Problem: the area of a square field is 900 km 2 . how long will it take for a horse to run around at the speed of 12 km / h ? 
Options: ['a ) 12 h', 'b ) 10 h', 'c ) 8 h', 'd ) 6 h', 'e ) none of these']
Output: b
Problem: the area of a triangle will be when a = 3 m , b = 4 m , c = 5 m , a , b , c being lengths of respective sides ? 
Options: a ) 3 , b ) 6 , c ) 4 , d ) 9 , e ) 1
Output: b
Problem: a circular well with a diameter of 2 metres , is dug to a depth of 8 metres . what is the volume of the earth dug out ? 
Options: a ) 32 m 3 , b ) 25.1 m 3 , c ) 40 m 3 , d ) 44 m 3 , e ) none
Output: b
Problem: the parameter of a square is equal to the perimeter of a rectangle of length 18 cm and breadth 10 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . 
Options: a ) 44.0 , b ) 23.59 , c ) 23.55 , d ) 23.53 , e ) 23.57
Output: a
Problem: the area of a square field is 24200 sq m . how long will a lady take to cross the field diagonally at the rate of 6.6 km / hr ? 
Options: a ) 3 minutes , b ) 0.04 hours , c ) 2 minutes , d ) 2.4 minutes , e ) 2 minutes 40 seconds
Output: c
Problem: the area of a rectangular plot is 15 times its breadth . if the difference between the length and the breadth is 10 metres , what is its breadth ? 
Options: a ) 10 metres , b ) 5 metres , c ) 7.5 metres , d ) data inadequate , e ) none of these
Output: b
Problem: the diagonal of a square is 40 m . the area of the square is : 
Options: ['a ) 600', 'b ) 900', 'c ) 800', 'd ) 500', 'e ) 400']
Output: c
Problem: you buy a piece of land with an area of √ 900 , how long is one side of the land plot ? 
Options: ['a ) 28', 'b ) 29', 'c ) 30', 'd ) 31', 'e ) 32']
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 80 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 ) 100 % , d ) 150 % , e ) 159.2 %
Output: e
Problem: a circular ground whose diameter is 35 metres , has a 1.4 metre - broad garden around inside of it . what is the area of the garden in square metres ? 
Options: a ) 301.5 , b ) 484.12 , c ) 401.84 , d ) 301.0 , e ) 301.84
Output: e
Problem: the perimeter of an isosceles right triangle is 4 + 4 sq rt 2 . what is the length of the hypotenuse of the triangle ? 
Options: a ) 2.82 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: a
Problem: the volume of a cube is 1000 cc . find its surface . 
Options: a ) 864 , b ) 556 , c ) 255 , d ) 600 , e ) 267
Output: d
Problem: how many internal diagonals does a octagon ( eight sided polygon ) have ? 
Options: ['a ) 90', 'b ) 85', 'c ) 70', 'd ) 35', 'e ) 20']
Output: e
Problem: if paint costs $ 3.10 per quart , and a quart covers 20 square feet , how much will it cost to paint the outside of a cube 10 feet on each edge ? 
Options: a ) $ 1.60 , b ) $ 16.00 , c ) $ 93.00 , d ) $ 108.00 , e ) $ 196.00
Output: c
Problem: a square was given . inside the square there are white tiles and black tiles . black tiles was among the diagonal of the square and dimensions of both white as well as black tiles is 1 cm x 1 cm . if there are 81 black tiles in the square . then find the no of white tiles in it . 
Options: ['a ) 2399', 'b ) 1600', 'c ) 2679', 'd ) 1697', 'e ) 1711']
Output: b
Problem: a cube of edge 7 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 : 49 , c ) 1 : 52 , d ) 1 : 522 , e ) none
Output: b
Problem: in may , the grounds keeper at spring lake golf club built a circular green with an area of 81 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 ) 256 pi , e ) 324 pi
Output: e
Problem: if the sides of a triangle are 26 cm , 18 cm and 10 cm , what is its area ? 
Options: ['a ) 90', 'b ) 110', 'c ) 130', 'd ) 140', 'e ) 150']
Output: a
Problem: the dimensions of a room are 25 feet * 15 feet * 12 feet . what is the cost of white washing the 4 walls of the room at rs . 3 per square feet if there is one door of dimensions 6 feet * 3 feet and 3 windows of dimensions 4 feet * 3 feet each ? 
Options: a ) s . 4528 , b ) s . 4520 , c ) s . 4527 , d ) s . 4530 , e ) s . 2718
Output: e
Problem: a certain cube floating in a bucket of water has between 75 and 85 percent of its volume below the surface of the water . if between 9 and 16 cubic centimeters of the cube ' s volume is above the surface of the water , then the length of a side of the cube is approximately 
Options: ['a ) 4', 'b ) 5', 'c ) 7', 'd ) 8', 'e ) 9']
Output: a
Problem: if y is the smallest positive integer such that 7350 multiplied by y is the square of an integer , then y must be 
Options: a ) 2 , b ) 5 , c ) 6 , d ) 7 , e ) 14
Output: c
Problem: a cheese factory sells its cheese in rectangular blocks . a normal block has a volume of 8 cubic feet . if a small block has half the width , half the depth , and half the length of a normal block , what is the volume of cheese in a small block in cubic feet ? 
Options: a ) 1 , b ) 5 , c ) 4 , d ) 6 , e ) 2
Output: a
Problem: the area of a rectangular field is equal to 750 square meters . its perimeter is equal to 110 meters . find the width of this rectangle . 
Options: ['a ) 5', 'b ) 10', 'c ) 15', 'd ) 20', 'e ) 25']
Output: e