niryuu/sni-each-converted huggingface dataset:
Problem: a circle in the coordinate plane passes through points ( - 3 , - 2 ) and ( 2 , 4 ) . what is the smallest possible area of that circle ? 
Options: a ) 13 π , b ) 15.25 π , c ) 262 √ π , d ) 52 π , e ) 64 π
Output: b
Problem: carmen made a sculpture from small pieces of wood . the sculpture is 2 feet 6 inches tall . carmen places her sculpture on a base that is 12 inches tall . how tall are the sculpture andbase together ? 
Options: a ) 3.1 feet , b ) 3.2 feet , c ) 3.3 feet , d ) 3.4 feet , e ) 3.83 feet
Output: e
Problem: if the radius of a circle that centers at the origin is 5 , how many k points on the circle have integer coordinates ? 
Options: a ) 4 , b ) 8 , c ) 12 , d ) 15 , e ) 20
Output: c
Problem: the side of a rhombus is 28 m and length of one of its diagonals is 12 m . the area of the rhombus is ? 
Options: a ) 326.2 , b ) 324.2 , c ) 328.2 , d ) 338.2 , e ) 328.9
Output: c
Problem: if a square mirror has a 20 - inch diagonal , what is the approximate perimeter w of the mirror , in inches ? 
Options: a ) 40 , b ) 60 , c ) 80 , d ) 100 , e ) 120
Output: b
Problem: what is the maximum number q of 27 cubic centimetre cubes that can fit in a rectangular box measuring 8 centimetre x 9 centimetre x 12 centimetre ? 
Options: ['a ) 36', 'b ) 32', 'c ) 24', 'd ) 21', 'e ) 15']
Output: c
Problem: the radius of a cone is 4 m , height 5 m . find the curved surface area ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9
Output: c
Problem: find the cube root of 185193 . 
Options: a ) 33 , b ) 57 , c ) 99 , d ) 17 , e ) 01
Output: b
Problem: a rectangular cube has sides measuring 15 inches long by 12 inches wide by 2 inches high . if the surface area of the rectangle is the same as a cube , what do the sides / walls of the cube measure ? round to the nearest whole number . 
Options: a ) 7 , b ) 5 , c ) 9 , d ) 6 , e ) 4
Output: c
Problem: the length of a rectangle is halved , while its breadth is tripled . whatis the % change in area ? 
Options: a ) 30 % , b ) 40 % , c ) 50 percent , d ) 60 % , e ) 70 %
Output: c
Problem: the diameter of a cylindrical tin is 14 cm and height is 5 cm . find the volume of the cylinder ? 
Options: a ) 230 , b ) 141 , c ) 66 , d ) 245 , e ) 21
Output: d
Problem: a triangle and a parallelogram are constructed on the same base such that their areas are equal . if the altitude of the parallelogram is 100 m , then the altitude of the triangle is . 
Options: ['a ) 10 √ 2 m', 'b ) 100 m', 'c ) 100 √ 2 m', 'd ) 200 m', 'e ) none']
Output: d
Problem: 8 business executives and 7 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ? 
Options: a ) 144 , b ) 131 , c ) 115 , d ) 84 , e ) 45
Output: d
Problem: if a is the smallest positive integer such that 5880 multiplied by a is the square of an integer , then ya must be 
Options: a ) 30 , b ) 15 , c ) 12 , d ) 23 , e ) 17
Output: a
Problem: what is the area of square field whose side of length 5 m ? 
Options: a ) 80 sq m , b ) 26 sq m , c ) 25 sq m , d ) 45 sq m , e ) 96 sq m
Output: c
Problem: 9 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 ) 99 , d ) 90 , e ) 45
Output: c
Problem: the ratio , by volume , of soap to alcohol to water in a certain solution is 2 : 40 : 70 . 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 ) 500 , b ) 600 , c ) 650 , d ) 700 , e ) 720
Output: d
Problem: how many diagonals does a polygon with 17 sides have , if one of its vertices does not connect to any diagonal ? 
Options: a ) 102 , b ) 104 , c ) 110 , d ) 90 , e ) 84
Output: b
Problem: if n is the smallest integer such that 108 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: the largest four digit number which is a perfect cube , is : 
Options: a ) 7000 , b ) 8000 , c ) 9261 , d ) 9999 , e ) none of these
Output: c
Problem: the parameter of a square is equal to the perimeter of a rectangle of length 8 cm and breadth 6 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . 
Options: a ) 23.56 , b ) 23.59 , c ) 23.55 , d ) 23.53 , e ) 11.0
Output: e
Problem: the volume of a rectangular swimming pool is 840 cubic meters and water is flowing into the swimming pool . if the surface level of the water is rising at the rate of 0.5 meters per minute , what is the rate r , in cubic meters per minutes , at which the water is flowing into the swimming pool ? 
Options: a ) 0.125 , b ) 0.25 , c ) 0.5 , d ) 0.75 , e ) not enough information to determine the rate
Output: e
Problem: . if the sides of two cubes are in the ratio 3 : 1 the ratio of their total surface area is ? 
Options: ['a ) 3 : 1', 'b ) 8 : 1', 'c ) 9 : 1', 'd ) 12 : 1', 'e ) 9 : 1']
Output: c
Problem: the perimeter of an equilateral triangle is 45 . if one of the side is the side of an isoceles triangle of perimeter 40 then what is the lenght of base of isoceles triangle . 
Options: a ) 10 units , b ) 20 units , c ) 30 units , d ) 40 units , e ) 15 units
Output: a
Problem: the parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 12 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 cm , b ) 47.14 cm , c ) 84.92 cm , d ) 94.94 cm , e ) 23.57 cm
Output: a
Problem: marla is hanging a banner diagonally across a rectangular room . the length of the room is 3 feet shorter than its width . if the total area of the room is 130 square feet , what is the length of the banner ( in feet ) ? 
Options: ['a ) between 16 and 17', 'b ) between 17 and 18', 'c ) between 18 and 19', 'd ) between 19 and 20', 'e ) between 20 and 21']
Output: a
Problem: what is the smallest positive integer that can be multiplied by 605 to make it a perfect square ? 
Options: a ) 2 , b ) 3 , c ) 5 , d ) 7 , e ) 11
Output: c
Problem: the length of a rectangle is increased by 20 % and its breadth is decreased by 20 % . what is the effect on its area ? 
Options: a ) 1288 , b ) 9600 , c ) 1000 , d ) 10000 , e ) 2887
Output: b
Problem: in may , the groundskeeper at spring lake golf club built a circular green with an area of 95 π square feet . in august , the groundskeeper doubled the distance from the center of the green to the edge of the green . what is the total area of the renovated green ? 
Options: ['a ) 190 π', 'b ) 210 π', 'c ) 240 π', 'd ) 320 π', 'e ) 380 π']
Output: e
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 40 cm , find the sum of the perimeters of all the triangles . 
Options: ['a ) 180 cm', 'b ) 220 cm', 'c ) 240 cm', 'd ) 270 cm', 'e ) 300 cm']
Output: c
Problem: what is the % change in the area of a rectangle when its length increases by 60 % and its width decreases by 60 % ? 
Options: a ) 0 % , b ) 20 % increase , c ) 36 % decrease , d ) 1 % decrease , e ) insufficient data
Output: c
Problem: the width of a rectangular hall is ½ of its length . if the area of the hall is 288 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: c
Problem: if the sum of a number and its square is 182 , what is the number ? 
Options: a ) 15 , b ) 26 , c ) 28 , d ) 91 , e ) none of these
Output: e
Problem: find the circumference and area of radius 13 cm . 
Options: a ) 124 cm ² , b ) 531 cm ² , c ) 354 cm ² , d ) 584 cm ² , e ) 594 cm ²
Output: b
Problem: the dimensions of a room are 25 feet * 15 feet * 12 feet . what is the cost of white washing the four walls of the room at rs . 8 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ? 
Options: ['a ) s . 4529', 'b ) s . 4586', 'c ) s . 7248', 'd ) s . 4530', 'e ) s . 4528']
Output: c
Problem: find the area of a parallelogram with base 36 cm and height 24 cm ? 
Options: a ) 760 , b ) 284 , c ) 288 , d ) 864 , e ) 820
Output: d
Problem: in two triangle , the ratio of the areas is 4 : 3 and that of their heights is 3 : 4 the ratio of their bases is 
Options: ['a ) 16 : 9', 'b ) 9 : 16', 'c ) 9 : 12', 'd ) 16 : 12', 'e ) 4 : 12']
Output: a
Problem: find the area of a parallelogram with base 25 cm and height 15 cm ? 
Options: a ) 295 cm 2 , b ) 385 cm 2 , c ) 275 cm 2 , d ) 375 cm 2 , e ) 285 cm 2
Output: d
Problem: how many odd numbers between 10 and 1400 are the squares of integers ? 
Options: a ) 14 , b ) 17 , c ) 20 , d ) 23 , e ) 26
Output: b
Problem: each side of a rectangle is increased by 100 % . by what percentage does the area increase ? 
Options: a ) 300 % , b ) 400 % , c ) 500 % , d ) 200 % , e ) 600 %
Output: a
Problem: a rectangular tank needs to be coated with insulation . the tank has dimensions of 4 feet , 5 feet , and 2 feet . each square foot of insulation costs $ 20 . how much will it cost to cover the surface of the tank with insulation ? 
Options: a ) $ 1520 , b ) $ 1640 , c ) $ 1780 , d ) $ 1850 , e ) $ 1960
Output: a
Problem: in triangle pqr , the angle q = 90 degree , pq = 4 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 ) 1.2 cm , b ) 2.4 cm , c ) 4.8 cm , d ) 2.16 cm , e ) 3.2 cm
Output: e
Problem: the length of a rectangle is two - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 1225 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 12 units ? 
Options: a ) 140 sq . units , b ) 170 sq . units , c ) 190 sq . units , d ) 168 sq . units , e ) 149 sq . units
Output: d
Problem: the perimeter of an isosceles right triangle is 10 + 10 sq rt 2 . what is the length of the hypotenuse of the triangle ? 
Options: a ) 5 , b ) 6 , c ) 7.07 , d ) 8 , e ) 9
Output: c
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 70 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: d
Problem: the largest six digit number which is a perfect cube , is : 
Options: a ) 970299 , b ) 907289 , c ) 992289 , d ) 900279 , e ) 999999
Output: a
Problem: if the volume of two cubes are in the ratio 27 : 8 , the ratio of their edges is : 
Options: a ) 3 : 1 , b ) 3 : 2 , c ) 3 : 5 , d ) 3 : 7 , e ) none of these
Output: b
Problem: a cubical block of metal weighs 7 pounds . how much will another cube of the same metal weigh if its sides are twice as long ? 
Options: a ) 48 , b ) 32 , c ) 24 , d ) 56 , e ) 12
Output: d
Problem: three rugs have a combined area of 196 square meters . by overlapping the rugs to cover floor area of 140 square meters , the area that is covered by exactly two layers of rug is 24 square meters . what is the area that is covered with three layers of rug ? 
Options: a ) 15 square meters , b ) 20 square meters , c ) 24 square meters , d ) 28 square meters , e ) 30 square meters
Output: a
Problem: what positive number , when squared , is equal to the cube of the positive square root of 12 ? 
Options: a ) 64 , b ) 32 , c ) 8 , d ) 4 , e ) 2
Output: d
Problem: the area of a square is equal to 2 times the area of a rectangle of dimensions 8 cm * 64 cm . what is the perimeter of the square ? 
Options: a ) 482 , b ) 268 , c ) 800 , d ) 128 , e ) 632
Output: d
Problem: if the perimeter of square region q and the perimeter of rectangular region r are equal and the sides of r are in the ratio 2 : 3 then the ratio of the area of r to the area of q 
Options: ['a ) 25 : 16', 'b ) 24 : 25', 'c ) 5 : 6', 'd ) 4 : 5', 'e ) 4 : 9']
Output: b
Problem: the area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm . what is the perimeter of the square ? 
Options: a ) 802 , b ) 800 , c ) 829 , d ) 389 , e ) 245
Output: b
Problem: 30 square stone slabs of equal size were needed to cover a floor area of 120 sq . m . find the length of each stone slab ? 
Options: ['a ) 120 cm', 'b ) 200 cm', 'c ) 88 cm', 'd ) 666 cm', 'e ) 776 cm']
Output: b
Problem: find the area of a parallelogram with base 32 cm and height 15 cm . 
Options: a ) 200 , b ) 384 , c ) 345 , d ) 480 , e ) 242
Output: d
Problem: three table runners have a combined area of 224 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: e
Problem: carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 15 inches by 24 inches and jordan ' s rectangle is 8 inches long , how wide is jordan ' s rectangle , in inches ? 
Options: a ) 30 , b ) 35 , c ) 40 , d ) 45 , e ) 50
Output: d
Problem: if the sides of a rectangle are increased by 15 % , what is the percentage increase in the area ? 
Options: a ) 32.25 % , b ) 40 % , c ) 37.50 % , d ) 36.75 % , e ) 32 %
Output: a
Problem: the surface area of a cube is 1734 sq . cm . find its volume 
Options: ['a ) 2334 cubic . cm', 'b ) 3356 cubic . cm', 'c ) 4913 cubic . cm', 'd ) 3478 cubic . cm', 'e ) none of these']
Output: c
Problem: one side of a rectangular field is 15 m and one of its diagonals is 17 m . find the area of the field in meter square 
Options: a ) 100 , b ) 110 , c ) 120 , d ) 130 , e ) 140
Output: c
Problem: a rectangular field is to be fenced on three sides leaving a side of 30 feet uncovered . if the area of the field is 720 sq . feet , how many feet of fencing will be required ? 
Options: a ) 78 , b ) 40 , c ) 68 , d ) 88 , e ) none
Output: a
Problem: a right triangle with sides 3 cm , 4 cm and 5 cm is rotated about the side of 3 cm to form a cone . the volume of the cone so formed is 
Options: ['a ) 12 π cm 3', 'b ) 15 π cm 3', 'c ) 16 π cm 3', 'd ) 20 π cm 3', 'e ) none']
Output: a
Problem: the area of a rectangular plot is 21 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 ) 11 metres , d ) data inadequate , e ) none of these
Output: c
Problem: difference between the length & breadth of a rectangle is 26 m . if its perimeter is 208 m , then the ratio of area and perimeter is ? ? we have : ( l - b ) = 26 and 2 ( l + b ) = 208 or ( l + b ) = 104 ? 
Options: a ) 315 : 26 , b ) 315 : 25 , c ) 315 : 30 , d ) 415 : 35 , e ) 425 : 35
Output: a
Problem: if circles x and y have the same area and circle x has a circumference of 10 π , half of the radius of circle y is : 
Options: a ) 16 , b ) 8 , c ) 4 , d ) 2.5 , e ) 1
Output: d
Problem: the side of a rhombus is 20 m and length of one of its diagonals is 16 m . the area of the rhombus is ? 
Options: a ) 223.28 , b ) 293.28 , c ) 293.78 , d ) 291.28 , e ) 193.28
Output: b
Problem: a football field is 9600 square yards . if 800 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 ) 300
Output: e
Problem: the radius of a cylinder is 2 r units and height is 3 r units . find the curved surface ? 
Options: a ) 18 π r 2 , b ) 12 π r 2 , c ) 3 π r 2 , d ) 6 π r 2 , e ) 9 π r 2
Output: b
Problem: a tailor trims 7 feet from opposite edges of a square piece of cloth , and 5 feet from the other two edges . if 45 square feet of cloth remain , what was the length of a side of the original piece of cloth ? 
Options: a ) 13 , b ) 15 , c ) 17 , d ) 19 , e ) 21
Output: d
Problem: the number 61 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: e
Problem: a rectangular photograph is surrounded by a border that is 1 inch wide on each side . the total area of the photograph and the border is m square inches . if the border had been 6 inches wide on each side , the total area would have been ( m + 200 ) square inches . what is the perimeter of the photograph , in inches ? 
Options: a ) 8 , b ) 12 , c ) 16 , d ) 20 , e ) 24
Output: b
Problem: a powder tin has a square base with side 8 cm and height 14 cm . another tin has a circular base with diameter 8 cm and height 14 cm . the difference in their capacities is : 
Options: ['a ) 168 cm ³', 'b ) 192 cm ³', 'c ) 228 cm ³', 'd ) 236 cm ³', 'e ) none']
Output: b
Problem: one side of a rectangle is 3 cm shorter than the other side . if we increase the length of each side by 1 cm , then the area of the rectangle will increase by 14 cm 2 . find the lengths of all sides . 
Options: a ) 10 and 3 , b ) 7 and 10 , c ) 10 and 7 , d ) 3 and 10 , e ) 8 and 5
Output: e
Problem: the number 110 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ? 
Options: a ) 18 , b ) 16 , c ) 15 , d ) 14 , e ) 13
Output: a
Problem: in a triangle , one side is 6 cm and another side is 8 cm . which of the following can be the perimeter of the triangle ? 
Options: ['a ) 22 .', 'b ) 25 .', 'c ) 30 .', 'd ) 32 .', 'e ) 34 .']
Output: a
Problem: the diagonals of a rhombus are 30 cm and 12 cm . find its area ? 
Options: a ) 176 , b ) 190 , c ) 180 , d ) 278 , e ) 292
Output: c
Problem: a diagonal of a polygon is an segment between two non - adjacent vertices of the polygon . how many diagonals does a regular 20 - sided polygon have ? 
Options: ['a ) 875', 'b ) 170', 'c ) 1425', 'd ) 2025', 'e ) 2500']
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 4 grams per cubic centimeter and mineral y weighs 3 grams per cubic centimeter , how many grams does a cubic meter of specialized sand combination weigh ? ( 1 meter = 100 centimeters ) 
Options: ['a ) 5 , 500,000', 'b ) 2 , 400,000', 'c ) 55,000', 'd ) 28,000', 'e ) 280']
Output: b
Problem: the ratio , by volume , of soap to alcohol to water in a certain solution is 2 : 50 : 100 . 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 ) 50 , b ) 200 , c ) 400 , d ) 625 , e ) 800
Output: e
Problem: the area of a triangle is with base 10 m and height 10 m ? 
Options: a ) 11 , b ) 10 , c ) 50 , d ) 122 , e ) 12
Output: c
Problem: the number 70 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: how can a cake ( circular ) be cut into 8 pieces by making just 3 cuts ? 
Options: ['a ) 21', 'b ) 787', 'c ) 37', 'd ) 26', 'e ) 01']
Output: a
Problem: the perimeters of 2 squares are 40 cm and 32 cm . find the perimeter of a third square whose area is equal to the difference of the areas of the two squares ? 
Options: a ) 20 cm , b ) 24 cm , c ) 32 cm , d ) 28 cm , e ) 30 cm
Output: b
Problem: three interviewers , a , b , and c are interviewing 30 applicants . only with three interviewers ' admission can an applicant be admitted . if interviewer a admitted 10 applicants , b admitted 12 applicants , and c admitted 15 applicants , at least how many applicants get the admission ? 
Options: a ) 6 , b ) 2 , c ) 0 , d ) 8 , e ) 12
Output: c
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 fourth of the males and 3 / 4 th of the females in the class ? 
Options: ['a ) a ) 160 degree', 'b ) b ) 198 degree', 'c ) c ) 191 degree', 'd ) d ) 192 degree', 'e ) e ) 204 degree']
Output: b
Problem: the volumes of two cones are in the ratio 1 : 30 and the radii of the cones are in the ratio of 1 : 2 . what is the length of the wire ? 
Options: a ) 6 : 5 , b ) 6 : 9 , c ) 6 : 2 , d ) 2 : 2 , e ) 2 : 8
Output: a
Problem: the floor of a rectangular room is 17 m long and 12 m wide . the room is surrounded by a veranda of width 2 m on all its sides . the area of the veranda is : 
Options: a ) 124 m 2 , b ) 132 m 2 , c ) 148 m 2 , d ) 152 m 2 , e ) none of these
Output: b
Problem: a cubical block of metal weighs 6 pounds . how much will another cube of the same metal weigh if its sides are twice as long ? 
Options: a ) 48 , b ) 99 , c ) 266 , d ) 28 , e ) 17
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 390 sq . feet , how many feet of fencing will be required ? 
Options: ['a ) 34', 'b ) 59', 'c ) 68', 'd ) 88', 'e ) 92']
Output: b
Problem: in a certain circle there are 9 points . what is the number of the triangles connecting 3 points of the 9 points ? 
Options: a ) 12 , b ) 84 , c ) 108 , d ) 120 , e ) 132
Output: b
Problem: what is the area of square field whose side of length 13 m ? 
Options: a ) 169 , b ) 196 , c ) 266 , d ) 288 , e ) 261
Output: a
Problem: a rectangular wall is covered entirely with two kinds of decorative tiles : regular and jumbo . 1 / 3 of the tiles are jumbo tiles , which have a length three times that of regular tiles and have the same ratio of length to width as the regular tiles . if regular tiles cover 50 square feet of the wall , and no tiles overlap , what is the area of the entire wall ? 
Options: a ) 160 , b ) 275 , c ) 360 , d ) 440 , e ) 560
Output: b
Problem: a certain farmer pays $ 30 per acre per month to rent farmland . how much does the farmer pay per month to rent a rectangular plot of farmland that is 370 feet by 605 feet ? ( 43,560 square feet = 1 acre ) 
Options: a ) $ 5,330 , b ) $ 3,360 , c ) $ 1,350 , d ) $ 360 , e ) $ 154.1
Output: e
Problem: the width of a rectangular hall is ½ of its length . if the area of the hall is 578 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: e
Problem: the diagonals of a rhombus are 11 cm and 20 cm . find its area ? 
Options: a ) 329 , b ) 288 , c ) 150 , d ) 238 , e ) 110
Output: e
Problem: a rectangular block has the dimensions 5 x 6 x 7 cm it is dropped into a cylindrical vessel of radius 6 cm and height 10 cm . if the level of the fluid in the cylinder rises by 4 cm , what portion of the block is immersed in the fluid ? 
Options: ['a ) 22 / 7 x 24 / 35', 'b ) 22 / 7 x 36 x 4', 'c ) 22 / 7 x 36 / 5', 'd ) 22 / 7 x 37 / 21', 'e ) 22 / 7 x 32 / 21']
Output: a
Problem: the diagonal of a rhombus are 65 m and 60 m . its area is : 
Options: a ) 1940 , b ) 1950 , c ) 1960 , d ) 1990 , e ) 1980
Output: b
Problem: if each side of a rectangle is increased by 50 % with the length being double the width , find the percentage change in its area ? 
Options: a ) 284 % , b ) 276 % , c ) 265.25 % , d ) 284.5 % , e ) 275 %
Output: e
Problem: the radius of a cylindrical vessel is 7 cm and height is 6 cm . find the whole surface of the cylinder ? 
Options: a ) 281 , b ) 771 , c ) 440 , d ) 767 , e ) 572
Output: e
Problem: if the sides of a triangle are 21 cm , 19 cm and 5 cm , what is its area ? 
Options: a ) 42.25 cm 2 , b ) 57.5 cm 2 , c ) 42.5 cm 2 , d ) 47.5 cm 2 , e ) 52.5 cm 2
Output: d
Problem: an artist wishes to paint a circular region on a square poster that is 2.4 feet on a side . if the area of the circular region is to be 1 / 2 the area of the poster , what must be the radius of the circular region in feet ? 
Options: a ) 1 / pi , b ) sqrt ( 2.88 / pi ) , c ) 1 , d ) 2 / sqrt ( pi ) , e ) pi / 2
Output: b
Problem: triangle atriangle b are similar triangles with areas 2268 units square and 2527 units square respectively . the ratio of there corresponding height would be 
Options: a ) 9 : 10 , b ) 18 : 19 , c ) 23 : 27 , d ) 13 : 17 , e ) 15 : 23
Output: b
Problem: a cube is painted red on all faces . it is then cut into 27 equal smaller cubes . how many h cubes are painted on only 2 faces ? 
Options: a ) 12 , b ) 8 , c ) 6 , d ) 10 , e ) 16
Output: a
Problem: a square mirror has exactly half the area of the rectangular wall on which it is hung . if each side of the mirror is 24 inches and the width of the wall is 42 inches , what is the length of the wall , in inches ? 
Options: a ) 21.4 , b ) 23.4 , c ) 25.4 , d ) 26.4 , e ) 27.4
Output: e
Problem: a cube of edge 15 cm is imersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 20 cm * 15 cm , find the rise in waer level . 
Options: ['a ) 11.25 cm .', 'b ) 12.25 cm', 'c ) 13.25 cm', 'd ) 14.25 cm', 'e ) none of these']
Output: a
Problem: each side of a rectangular field diminished by 40 % . by how much per cent is the area of the field diminished ? 
Options: ['a ) 32', 'b ) 64', 'c ) 25', 'd ) 16', 'e ) none']
Output: b
Problem: a rectangular garden is 12 m by 5 m , what is its area ? 
Options: ['a ) 12 square meters', 'b ) 5 square meters', 'c ) 44 square meters', 'd ) 60 square meters', 'e ) 22 square meters']
Output: d
Problem: the length of a rectangle is 18 cm and its breadth is 10 cm . when the length is increased to 25 cm , what will be the breadth of the rectangle if the area remains the same ? 
Options: ['a ) 7 cm', 'b ) 7.1 cm', 'c ) 7.2 cm', 'd ) 7.3 cm', 'e ) none of these']
Output: c
Problem: rain is falling at a rate of 10 centimeters per hour all over north carolina . somewhere downtown in north carolina a group of people are waiting for the rain to stop . if the rain filled a round puddle the with a base area of 300 square centimeters and a depth of 30 centimeters , how long did the people wait for the rain to stop ? 
Options: ['a ) 4 hours', 'b ) 11 hours', 'c ) 7 hours 15 minutes', 'd ) 3 hours', 'e ) 14 hours']
Output: d
Problem: the sides of a cube are in the ratio 1 : 2 the ratio of their volume is ? 
Options: ['a ) 1 : 6', 'b ) 1 : 4', 'c ) 1 : 0', 'd ) 1 : 2', 'e ) 1 : 1']
Output: b
Problem: the percentage increase in the area of a rectangle , if each of its sides is increased by 20 % is ? 
Options: a ) 44 % , b ) 45 % , c ) 50 % , d ) 55 % , e ) 60 %
Output: a
Problem: a voltage will influence current only if the circuit is : 
Options: ['a ) 2', 'b ) 7', 'c ) 6', 'd ) 889', 'e ) 1']
Output: b
Problem: in a rectangular coordinate system , what is the area of a rectangle whose vertices have the coordinates ( - 9 , 1 ) , ( 1 , 1 ) , ( 1 , - 8 ) and ( - 9 , - 8 ) ? 
Options: a ) 72 , b ) 180 , c ) 70 , d ) 90 , e ) 140
Output: d
Problem: the length of a rectangle is increased by 25 % and its breadth is decreased by 15 % . what is the effect on its area ? 
Options: a ) 1288 , b ) 1299 , c ) 10625 , d ) 10000 , e ) 2887
Output: c
Problem: the area of sector of a circle whose radius is 12 metro and whose angle at the center is 39 ° is ? 
Options: a ) 40 m 2 , b ) 45 m 2 , c ) 49 m 2 , d ) 51 m 2 , e ) 55 m 2
Output: c
Problem: a crate measures 5 feet by 8 feet by 12 feet on the inside . a stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides . what is the radius , in feet , of the pillar with the largest volume that could still fit in the crate ? 
Options: a ) 2 , b ) 4 , c ) 5 , d ) 8 , e ) 12
Output: c
Problem: find the surface area of a 8 cm x 6 cm x 2 cm brick . 
Options: a ) 112 cu cm , b ) 136 cu cm , c ) 164 cu cm , d ) 180 cu cm , e ) 152 cu cm
Output: e
Problem: the area of a square is added to one of its sides , and the perimeter is then subtracted from this total , the result is 4 . what is the length of one side ? 
Options: ['a ) 5', 'b ) 4', 'c ) 3', 'd ) 2', 'e ) 1']
Output: b
Problem: the area of a triangle will be when a = 2 m , b = 5 m , c = 7 m , a , b , c being lengths of respective sides ? 
Options: a ) 2 , b ) 7 , c ) 5 , d ) 3 , e ) 4
Output: b
Problem: a rectangular room has the rectangular shaped rug shown as above figure such that the rug ’ s area is 200 square feet and its length is 10 feet longer than its width . if the uniform width between the rug and room is 10 feet , what is the area of the region uncovered by the rug ( shaded region ) , in square feet ? 
Options: a ) 32 , b ) 1360 , c ) 1000 , d ) 46 , e ) 104
Output: c
Problem: the diagonals of two squares are in the ratio of 2 : 5 . find the ratio of their areas . 
Options: ['a ) 4 : 25', 'b ) 4 : 15', 'c ) 3 : 25', 'd ) 3 : 15', 'e ) none of these']
Output: a
Problem: the weight of a hollow sphere is directly dependent on its surface area . the surface area of a sphere is 4 π · r ^ 2 , where r is the radius of the sphere . if a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams , a hollow sphere of radius 0.3 cm made of the same metal would weigh how many grams w ? 
Options: a ) w = 16 , b ) w = 32 , c ) 64 , d ) 128 , e ) 512
Output: b
Problem: the area of a parallelogram is 128 sq m and its altitude is twice the corresponding base . then the length of the base is ? 
Options: ['a ) 8', 'b ) 7', 'c ) 6', 'd ) 5', 'e ) 2']
Output: a
Problem: if n is the smallest integer such that 144 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: right triangle xyzs the base of the prism in the figure above . if xy = xz = â ˆ š 9 and the height of the prism is 6 , what is the volume of the prism ? 
Options: ['a ) 3', 'b ) 27', 'c ) 13', 'd ) 12', 'e ) 15']
Output: b
Problem: a rectangular floor is covered by a rug except for a strip 4 meters wide along each of the four edge . if the floor is 25 meters by 20 meters , what is the area of the rug in square meters ? 
Options: ['a ) 256', 'b ) 266', 'c ) 204', 'd ) 224', 'e ) 324']
Output: c
Problem: one side of a rectangular field is 13 m and one of its diagonal is 17 m . find the area of the field . 
Options: a ) 100 , b ) 141.7 , c ) 150 , d ) 180 , e ) none
Output: b
Problem: in measuring the sides of a rectangle , one side is taken 10 % 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 ) 3 % , d ) 4.5 % , e ) 2.6 %
Output: d
Problem: if the sides of a square are doubled in length , the area of the original square is now how many times as large as the area of the resultant square ? 
Options: a ) 25 % , b ) 50 % , c ) 100 % , d ) 200 % , e ) 400 %
Output: a
Problem: the perimeter of a triangle is 20 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ? 
Options: a ) 28 cm 2 , b ) 27 cm 2 , c ) 29 cm 2 , d ) 25 cm 2 , e ) 35 cm 2
Output: d
Problem: a cube is painted red on all faces . it is then cut into 27 equal smaller cubes . how many v cubes are painted on only 2 faces ? 
Options: a ) 12 , b ) 8 , c ) 6 , d ) 10 , e ) 16
Output: a
Problem: what is the area of a regular hexagon with sides 1 in . long ? 
Options: a ) 1.59 square inch , b ) 2.59 square inch , c ) 3.59 square inch , d ) 4.59 square inch , e ) 2.69 square inch
Output: b
Problem: what is the measure of the angle y 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 area of a square is 4900 sq cm . find the ratio of the breadth and the length of a rectangle whose length is same the side of the square and breadth is 20 cm less than the side of the square ? 
Options: a ) 5 : 8 , b ) 5 : 10 , c ) 5 : 13 , d ) 5 : 7 , e ) 5 : 16
Output: d
Problem: a squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 3 feet . how many feet does the squirrel travels if the post is 27 feet tall and 3 feet in circumference ? 
Options: a ) 10 feet , b ) 12 feet , c ) 27 feet , d ) 15 feet , e ) 18 feet
Output: c
Problem: find the area of the quadrilateral of one of its diagonals is 28 cm and its off sets 8 cm and 2 cm ? 
Options: a ) 140 cm 2 , b ) 150 cm 2 , c ) 168 cm 2 , d ) 182 cm 2 , e ) 200 cm 2
Output: a
Problem: a took 15 seconds to cross a rectangular field diagonally walking at the rate of 52 m / min and b took the same time to cross the same field along its sides walking at the rate of 68 m / min . the area of the field is ? 
Options: ['a ) 33', 'b ) 60', 'c ) 88', 'd ) 27', 'e ) 26']
Output: b
Problem: consider a quarter of a circle of radius 20 . let r be the radius of the circle inscribed in this quarter of a circle . find r . 
Options: ['a ) 20 * ( sqr 2 - 1 )', 'b ) 8 * ( sqr 3 - 1 )', 'c ) 4 * ( sqr 7 - 1 )', 'd ) 12 * ( sqr 7 - 1 )', 'e ) none of these']
Output: a
Problem: the side of a square is increased by 25 % then how much % does its area increases ? 
Options: a ) 56.28 , b ) 56.25 , c ) 56.2 , d ) 56.24 , e ) 56.21
Output: b
Problem: if y is the smallest positive integer such that 6300 multiplied by y is the square of an integer , then y must be 
Options: a ) 5 , b ) 7 , c ) 15 , d ) 35 , e ) 45
Output: b
Problem: a rectangle having length 100 cm and width 40 cm . if the length of the rectangle is increased by fifty 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 ) 75 % , e ) none of these
Output: b
Problem: triangle atriangle b are similar triangles with areas 1536 units square and 1734 units square respectively . the ratio of there corresponding height would be 
Options: a ) 9 : 10 , b ) 17 : 19 , c ) 23 : 27 , d ) 16 : 17 , e ) 15 : 23
Output: d
Problem: in a company of 170 employees , 110 are females . a total of 80 employees have advanced degrees and the rest have a college degree only . if 25 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: b
Problem: the length of a rectangle is halved , while its breadth is tripled . wat isthe % change in area ? 
Options: a ) 40 % , b ) 45 % , c ) 50 % , d ) 60 % , e ) 67 %
Output: c
Problem: a small , rectangular park has a perimeter of 560 feet and a diagonal measurement of 400 feet . what is its area , in square feet ? 
Options: a ) 76,800 , b ) 19,600 , c ) 20,000 , d ) 20,400 , e ) 20,800
Output: a
Problem: when the circumference and area of a circle are numerically equal , then the diameter is numerically equal to 
Options: ['a ) area', 'b ) circumference', 'c ) 4', 'd ) 2 π', 'e ) none of these']
Output: c
Problem: what is the area of a square field whose diagonal of length 28 m ? 
Options: a ) 288 , b ) 289 , c ) 200 , d ) 112 , e ) 392
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 625 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 ) 100 , d ) 72 , e ) 12
Output: c
Problem: a circular garden is surrounded by a fence of negligible width along the boundary . if the length of the fence is 1 / 6 of th area of the garden . what is the radius of the circular garden ? 
Options: a ) 1 , b ) 2 , c ) 4 , d ) 8 , e ) 12
Output: e
Problem: a cube of edge 10 cm is immersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 20 cm * 15 cm , find the rise in water level ? 
Options: ['a ) 6 cm', 'b ) 8.25 cm', 'c ) 11.25 cm', 'd ) 15.12 cm', 'e ) 3.33 cm']
Output: e
Problem: the ratio of the volumes of two cubes is 216 : 343 . what is the ratio of their total surface areas ? 
Options: a ) 81 : 12 , b ) 31 : 36 , c ) 81 : 22 , d ) 8 : 19 , e ) 1 : 11
Output: b
Problem: the length and width of a rectangle are integer values . what is the area of the smallest such rectangle that can be inscribed in a circle whose radius is also an integer 
Options: ['a ) 12', 'b ) 45', 'c ) 36', 'd ) 48', 'e ) 60']
Output: b
Problem: the area of a rectangular field is equal to 300 square meters . its perimeter is equal to 70 meters . find the length and width of this rectangle . 
Options: ['a ) w = 15 and l = 20', 'b ) w = 25 and l = 30', 'c ) w = 35 and l = 40', 'd ) w = 45 and l = 50', 'e ) w = 55 and l = 60']
Output: a
Problem: a circle is inscribed in a triangle of side 6 cm . and a square is inscribed in the circle . what is the area of square ? 
Options: ['a ) 4 cm ^ 2', 'b ) 6 cm ^ 2', 'c ) 5 cm ^ 2', 'd ) 7 cm ^ 2', 'e ) 8 cm ^ 2']
Output: b
Problem: if the side length of square b is four times that of square a , the area of square b is how many times the area of square a ? 
Options: ['a ) 20', 'b ) 16', 'c ) 12', 'd ) 8', 'e ) 4']
Output: b
Problem: if the sides of a triangle are 39 cm , 36 cm and 15 cm , what is its area ? 
Options: a ) 120 cm 2 , b ) 765 cm 2 , c ) 216 cm 2 , d ) 270 cm 2 , e ) 275 cm 2
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 2 inches long , how wide is jordan ' s rectangle , in inches ? 
Options: a ) 65 , b ) 63 , c ) 52 , d ) 60 , e ) 68
Output: d
Problem: the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 216 sq . cm , what is the width of the rectangle ? 
Options: a ) 12 cm , b ) 16 cm , c ) 18 cm , d ) 20 cm , e ) 22 cm
Output: a
Problem: in a rectangular coordinate system , what is the area of a quadrilateral whose vertices have the coordinates ( 4 , - 3 ) , ( 4 , 7 ) , ( 10 , 4 ) , ( 10 , - 7 ) ? 
Options: a ) 51 , b ) 54 , c ) 57 , d ) 60 , e ) 63
Output: e
Problem: if the radius of a cylinder is doubled and so is the height , what is the new volume of the cylinder divided by the old one ? 
Options: ['a ) 8 .', 'b ) 2', 'c ) 6', 'd ) 4', 'e ) 10']
Output: a
Problem: guadalupe owns 2 rectangular tracts of land . one is 300 m by 500 m and the other is 250 m by 630 m . the combined area of these 2 tracts is how many square meters ? 
Options: ['a ) 3,360', 'b ) 307,500', 'c ) 621,500', 'd ) 704,000', 'e ) 2 , 816,000']
Output: b
Problem: if a rectangular billboard has an area of 117 square feet and a perimeter of 44 feet , what is the length of each of the shorter sides ? 
Options: a ) 4 , b ) 7 , c ) 8 , d ) 9 , e ) 26
Output: d
Problem: the side of a cube is 15 m , find it ' s surface area ? 
Options: a ) 1350 , b ) 1750 , c ) 1150 , d ) 1450 , e ) 1570
Output: a
Problem: the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 294 sq . cm , what is the length of the rectangle ? 
Options: a ) 15 cm , b ) 18 cm , c ) 21 cm , d ) 24 cm , e ) 27 cm
Output: c
Problem: a rectangular tiled patio is composed of 48 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 48 tiles , and it will still be rectangular . how many rows are in the tile patio before the change in layout ? 
Options: a ) 5 , b ) 6 , c ) 10 , d ) 13 , e ) 28
Output: b
Problem: the slant height of a cone is 12 cm and radius of the base is 4 cm , find the curved surface of the cone ? 
Options: a ) 26 , b ) 28 , c ) 48 , d ) 26 , e ) 28
Output: c
Problem: in the coordinate plane , a circle centered on point ( - 3 , - 3 ) passes through point ( 1 , 1 ) . what is the area of the circle ? 
Options: a ) 9 π , b ) 32 π , c ) 25 π , d ) 37 π , e ) 41 π
Output: b
Problem: find the area of a parallelogram with base 26 cm and height 16 cm ? 
Options: a ) 297 cm 2 , b ) 384 cm 2 , c ) 672 cm 2 , d ) 416 cm 2 , e ) 286 cm 2
Output: d
Problem: a rectangular lawn of dimensions 120 m * 60 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 3 per sq m ? 
Options: a ) s . 5100 , b ) s . 3900 , c ) s . 3228 , d ) s . 3922 , e ) s . 3928
Output: a
Problem: the length of the rectangular field is double its width . inside the field there is square shaped pond 6 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 ) 24 , b ) 32 , c ) 75 , d ) 28 , e ) 11
Output: a
Problem: the ratio of radius of a circle and the side of a square is 2 : 3 . find the ratio of their areas : 
Options: a ) 2 : 1 , b ) 4 : 9 , c ) 8 : 77 , d ) 4 : 121 , e ) none
Output: b
Problem: the measure of the side of a square is multiplied by 7 . if x represents the perimeter of the original square , what is the value of the new perimeter ? 
Options: a ) 3 x , b ) 4 x , c ) 7 x , d ) 12 x , e ) 27 x
Output: c
Problem: find the surface area of a 10 cm x 4 cm x 3 cm brick 
Options: a ) 84 , b ) 124 , c ) 164 , d ) 180 , e ) 120
Output: c
Problem: the area of a base of a cone is 30 cm 2 . if the height of the cone is 6 cm , find its volume ? 
Options: ['a ) 87', 'b ) 16', 'c ) 17', 'd ) 60', 'e ) 18']
Output: d
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 . ( round off your answer to two decimal places ) ? 
Options: a ) 22.51 , b ) 22.0 , c ) 22.15 , d ) 22.17 , e ) 22.63
Output: b
Problem: the area of a triangle is with base 2 m and height 3 m ? 
Options: a ) 11 , b ) 10 , c ) 787 , d ) 3 , e ) 12
Output: d
Problem: what is the area of a square field whose sides have a length of 16 meters ? 
Options: a ) 225 sq m , b ) 286 sq m , c ) 298 sq m , d ) 256 sq m , e ) 231 sq m
Output: d
Problem: the length of a rectangle is one fourth of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 784 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 5 units ? 
Options: ['a ) 35 sq . units', 'b ) 45 sq . units', 'c ) 55 sq . units', 'd ) 50 sq . units', 'e ) 40 sq . units']
Output: a
Problem: if the length of a rectangular field is 30 metres more than its breadth and the perimeter of the field is 540 metres , what is the area of the field in square metres ? 
Options: ['a ) 18000', 'b ) 40000', 'c ) 31000', 'd ) 19000', 'e ) 16000']
Output: a
Problem: right triangle abc is to be drawn in the xy - plane so that the right angle is at a and ab is parallel to the y - axis . if the x - and y - coordinates of a , b , and c are to be integers that are consistent with the inequalities - 8 ≤ x ≤ 2 and 4 ≤ y ≤ 9 , then how many different triangles can be drawn that will meet these conditions ? 
Options: a ) 54 , b ) 4032 , c ) 2,160 , d ) 2,916 , e ) 148,824
Output: b
Problem: find the area of a parallelogram with base 30 cm and height 12 cm ? 
Options: a ) 290 cm 2 , b ) 360 cm 2 , c ) 270 cm 2 , d ) 280 cm 2 , e ) 260 cm 2
Output: b
Problem: how many 2 x 2 x 2 cubes could fit in a box of 7 x 9 x 4 ? 
Options: a ) 31 , b ) 32 , c ) 30 , d ) 33 , e ) 29
Output: a
Problem: if the sides of a triangle are 28 cm , 24 cm and 15 cm , what is its area ? 
Options: a ) 180 cm 2 , b ) 112 cm 2 , c ) 776 cm 2 , d ) 666 cm 2 , e ) 886 cm 2
Output: a
Problem: a rectangular floor is covered by a rug except for a strip 2 meters wide along each of the four edge . if the floor is 10 meters by 8 meters , what is the area of the rug in square meters ? 
Options: a ) 24 , b ) 26 , c ) 28 , d ) 30 , e ) 32
Output: a
Problem: the value of “ a ” varies in inverse proportion as the square of “ b ” . if the value of “ a ” is equal to 40 when “ b ” is equal to 12 . what would be the value of “ a ” when “ b ” is equal to 24 ? 
Options: ['a ) 10', 'b ) 88', 'c ) 26', 'd ) 27', 'e ) 28']
Output: a
Problem: the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 2700 sq m , then what is the breadth of the rectangular plot ? 
Options: a ) 11 , b ) 17 , c ) 18 , d ) 101 , e ) 30
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 3600 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ? 
Options: a ) 240 , b ) 250 , c ) 260 , d ) 270 , e ) 280
Output: a
Problem: the monthly rent of a shop of dimension 10 feet × 10 feet is rs . 1300 . what is the annual rent per square foot of the shop ? 
Options: a ) 43 , b ) 156 , c ) 68 , d ) 87 , e ) 92
Output: b
Problem: what is the positive integer that can be added by 595 to make it a perfect square ? 
Options: ['a ) 2 * 3 * 6', 'b ) 3 * 2 * 5', 'c ) 5 * 3 * 3', 'd ) 2 * 3', 'e ) 3 * 5 * 4']
Output: b
Problem: the roof of an apartment building is rectangular and its length is 4 times longer than its width . if the area of the roof is 576 feet squared , what is the difference between the length and the width of the roof ? 
Options: a ) 38 . , b ) 40 . , c ) 36 . , d ) 44 . , e ) 46 .
Output: c
Problem: what is the area of a rectangle whose length is twice its width and whose perimeter is equal to that of a square whose area is 1 ? 
Options: ['a ) 1 / 9 sq units .', 'b ) 4 / 9 sq units .', 'c ) 8 / 9 sq units .', 'd ) 7 / 9 sq units .', 'e ) 6 / 9 sq units .']
Output: c
Problem: square a has an area of 25 square centimeters . square b has a perimeter of 12 centimeters . if square b is placed within square a and a random point is chosen within square a , what is the probability the point is not within square b ? 
Options: a ) 9 / 25 , b ) 1 / 5 , c ) 16 / 25 , d ) 3 / 5 , e ) 6 / 25
Output: c
Problem: what should be added to 5021 so that it may become a perfect square ? 
Options: a ) 20 , b ) 23 , c ) 26 , d ) 27 , e ) 29
Output: a
Problem: if circles x and y have the same area and circle x has a circumference of 14 π , half of the radius of circle y is : 
Options: ['a ) 16', 'b ) 8', 'c ) 4', 'd ) 3.5', 'e ) 1']
Output: d
Problem: the parameter of a square is equal to the perimeter of a rectangle of length 14 cm and breadth 10 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) ? 
Options: a ) 23.56 , b ) 23.59 , c ) 23.55 , d ) 18.86 , e ) 23.57
Output: d
Problem: find the curved surface area , if the radius of a cone is 7 m and slant height is 14 m ? 
Options: a ) 308 , b ) 369 , c ) 434 , d ) 476 , e ) 513
Output: a
Problem: calculate the effect changes in dimension of a rectangle will have on its area , if length is increased by 40 % and its breadth is decreased by 25 % ? 
Options: a ) 5 % increase , b ) 7 % increase , c ) 6 % increase , d ) 4 % increase , e ) 3 % increase
Output: a
Problem: if the sides of a triangle are 52 cm , 48 cm and 20 cm , what is its area ? 
Options: a ) 480 cm 2 , b ) 765 cm 2 , c ) 216 cm 2 , d ) 197 cm 2 , e ) 275 cm 2
Output: a
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 30 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 ) 45 square meters , e ) 120 square meters
Output: d
Problem: the length of a rectangle is reduced by 30 % . by what % would the width have to be increased to maintain the original area ? 
Options: a ) 42.8 % , b ) 20 % , c ) 25 % , d ) 30 % , e ) 35 %
Output: a