id string | question string | choices list | answer_key string | source string |
|---|---|---|---|---|
5d2eb6f5-540f-407f-bf4c-211345ece346 | the volume of a wall , 5 times as high as it is broad and 8 times as long as it is high , is 12.8 cu . meters . find the breadth of the wall . | [
"a ) 40",
"b ) 29",
"c ) 28",
"d ) 27",
"e ) 12"
] | a ) 40 | mathqa |
e7e49c97-4648-4243-b43f-f0749708de5b | a rectangular room 14 m long , 12 m broad is surrounded by a varandah , 3 m wide . find the area of the varandah ? | [
"a ) 170",
"b ) 180",
"c ) 190",
"d ) 210",
"e ) 150"
] | b ) 180 | mathqa |
9695218d-0041-4898-ae82-6ace33c8ad6a | the base of a triangle is 15 cm and height is 12 cm . the height of another triangle of double the area having the base 20 cm is : | [
"a ) 22 cm",
"b ) 20 cm",
"c ) 18 cm",
"d ) 10 cm",
"e ) none of these"
] | c ) 18 cm | mathqa |
c7c19676-d568-49b7-a0a7-36bb6de84b63 | the mass of 1 cubic meter of a substance is 200 kg under certain conditions . what is the volume in cubic centimeters of 1 gram of this substance under these conditions ? ( 1 kg = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters ) | [
"a ) 1",
"b ) 2",
"c ) 3",
"d ) 4",
"e ) 5"
] | e ) 5 | mathqa |
d95914d5-a632-4023-8635-230f33f717c5 | smita was making a cube with dimensions 5 * 5 * 5 using 1 * 1 * 1 cubes . what is the number of cubes needed to make a hollow cube looking of the same shape ? | [
"a ) 98",
"b ) 104",
"c ) 100",
"d ) 61",
"e ) 51"
] | a ) 98 | mathqa |
258a7bda-e8f1-4a89-9fce-442b6edb4bd3 | if the radii of umbra and penumbra cast by an object on a wall are of the ratio 2 : 6 , what is the area of the penumbra ring around the umbra of the latter β s radius is 40 cms ? | [
"a ) 40288.57 cm ^ 2",
"b ) 40388.57 cm ^ 2",
"c ) 40488.57 cm ^ 2",
"d ) 40588.57 cm ^ 2",
"e ) 40688.57 cm ^ 2"
] | a ) 40288.57 cm ^ 2 | mathqa |
8598993f-e8fb-4538-ba74-7fc5b46776e9 | four horses are tethered at four corners of a square plot of side 63 metres so that they just can not reach one another . the area left ungrazed is : | [
"a ) 675.5 m 2",
"b ) 780.6 m 2",
"c ) 785.8 m 2",
"d ) 850.5 m 2",
"e ) 950.5 m 2"
] | d ) 850.5 m 2 | mathqa |
88b8d2e7-6848-470b-babf-58e7c26ed16d | a cubic object 3 ' ' x 3 ' ' x 3 ' ' is painted blue on all the outside surfaces , including the top and bottom . if the cube is cut into 27 cubes of 1 ' ' x 1 ' ' x 1 ' ' , how many 1 ' ' cubes do have any painted surfaces ? | [
"a ) 15",
"b ) 22",
"c ) 26",
"d ) 33",
"e ) 44"
] | c ) 26 | mathqa |
a7f3be7f-bac8-46b4-8c4c-931b1ae6132e | rectangle a has sides a and b , and rectangle b has sides c and d . if a / c = b / d = 3 / 5 , what is the ratio of rectangle a β s area to rectangle b β s area ? | [
"a ) 5 / 3",
"b ) 9 / 5",
"c ) 9 / 25",
"d ) 3 / 5",
"e ) 25 / 9"
] | c ) 9 / 25 | mathqa |
df402dad-bd29-4b2a-b637-25a8818262db | the area of a square field is 4802 m ( power ) 2 the length of its diagonal is : | [
"a ) 98 m",
"b ) 102 m",
"c ) 95 m",
"d ) 105 m",
"e ) 96 m"
] | a ) 98 m | mathqa |
37d2e1e5-2a63-4b6c-ad4e-18a79f5e9d20 | the area of the house of a hall is 20 m 2 that of a longer wall 10 m 2 and of the shorter wall 8 m 2 , find the edge of the new cube ? | [
"a ) 45 m 3",
"b ) 40 m 3",
"c ) 60 m 3",
"d ) 600 m 3",
"e ) 300 m 3"
] | b ) 40 m 3 | mathqa |
21ccbe4b-b138-4f57-9a6d-8c24f9a1f7fe | the floor of a rectangular room is 15 m long and 12 m wide . the room is surrounded by a verandah of width 2 m on all its sides . the area of the verandah is : | [
"a ) 124 m 2",
"b ) 120 m 2",
"c ) 108 m 2",
"d ) 58 m 2",
"e ) none of these"
] | a ) 124 m 2 | mathqa |
5cbff5d5-a2fd-4ce8-97a1-5be3304226fd | if the diagonals of a rhombus are 24 cm and 10 cm , what will be its perimeter | [
"a ) 42 cm",
"b ) 64 cm",
"c ) 56 cm",
"d ) 52 cm",
"e ) none of these"
] | d ) 52 cm | mathqa |
30cb3133-59df-4ca2-ba39-799a1cef8872 | square p is inscribed in circle q . if the perimeter of p is 40 , what is the circumference of q ? | [
"a ) 11 β 2 Ο",
"b ) 10 β 2 Ο",
"c ) 9 β 2 Ο",
"d ) 8 β 2 Ο",
"e ) 7 β 2 Ο"
] | b ) 10 β 2 Ο | mathqa |
b9e0b21e-73fd-46b8-aa1d-35c3c84972d9 | how many cubes of edge 2 dm can be cut out of a meter cube ? | [
"a ) 296",
"b ) 289",
"c ) 270",
"d ) 125",
"e ) 278"
] | d ) 125 | mathqa |
6347ba57-d1c7-4013-a518-90c8b4202ddc | a snooker tournament charges $ 40.00 for vip seats and $ 10.00 for general admission ( β regular β seats ) . on a certain night , a total of 320 tickets were sold , for a total cost of $ 7,500 . how many fewer tickets were sold that night for vip seats than for general admission seats ? | [
"a ) 190",
"b ) 180",
"c ) 170",
"d ) 160",
"e ) 148"
] | e ) 148 | mathqa |
5d41f500-18f8-49d8-ae83-e1d976fd56eb | a gardener changed the size of his rectangle shaped garden by increasing it ' s length by 40 % & decreasing is ' s width by 20 % . find area of new garden . | [
"a ) 1.04",
"b ) 1.12",
"c ) 1.24",
"d ) 1.4",
"e ) 1.5"
] | b ) 1.12 | mathqa |
ab562737-0e05-43b3-a3b4-5eea3cb83e67 | a goat is tied to one corner of a square plot of side 12 m by a rope 7 m long . find the area it can graze ? | [
"a ) 32",
"b ) 36.5",
"c ) 38.5",
"d ) 39",
"e ) 39.5"
] | c ) 38.5 | mathqa |
7fe21868-10ad-4812-9530-c8a63fb5452b | the height of the wall is 6 times its width and lenght of the wall is 7 times its height . if the volume of the wall be 16128 cu . m . its width is | [
"a ) 4 m",
"b ) 5 m",
"c ) 6 m",
"d ) 7 m",
"e ) 8 m"
] | a ) 4 m | mathqa |
0351661a-0638-465f-8266-a93bd1e0b937 | how many pieces can a square pizza be cut into by making 4 linear cuts ? | [
"a ) 10",
"b ) 11",
"c ) 12",
"d ) 13",
"e ) 14"
] | b ) 11 | mathqa |
7fc34e8e-f324-4df9-af03-ae9303c68361 | two cylinders are of the same height . their radii are in the ratio 1 : 3 . if the volume of the first cylinder is 40 cc . find the volume of the second cylinder ? | [
"a ) 360 cc",
"b ) 60 cc",
"c ) 300 cc",
"d ) 36 cc",
"e ) 39 cc"
] | a ) 360 cc | mathqa |
173f8e53-5468-4374-8107-f07c01c18ed5 | a semicircle is drawn with ab as its diameter . from c , a point on ab , a line perpendicular to ab is drawn , meeting the circumference of the semicircle at d . given that ac = 2 cm and cd = 6 cm , the area of the semicircle in square cm will be ? | [
"a ) 30 pi",
"b ) 40 pi",
"c ) 50 pi",
"d ) 60 pi",
"e ) 70 pi"
] | c ) 50 pi | mathqa |
e53eba11-8bdc-418e-9d1a-0311f390929e | the height of cylinder is 14 cm and its diameter is 10 cm . the volume of the cylinder is : | [
"a ) 4400",
"b ) 2200",
"c ) 5500",
"d ) 1100",
"e ) 3300"
] | d ) 1100 | mathqa |
23dff2c5-0896-41d6-b30c-2bad3068a8b4 | tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 5 meters and a circumference of 4 meters , and the interior of tank b has a height of 8 meters and a circumference of 10 meters . the capacity of tank a is what percent of the capacity of tank b ? | [
"a ) 10 %",
"b ) 80 %",
"c ) 100 %",
"d ) 120 %",
"e ) 125 %"
] | a ) 10 % | mathqa |
fee36737-8683-4954-816a-50a313d5cc15 | if a rectangular billboard has an area of 104 square feet and a perimeter of 42 feet , what is the length of each of the shorter sides ? | [
"a ) 4",
"b ) 7",
"c ) 8",
"d ) 13",
"e ) 26"
] | c ) 8 | mathqa |
b2d1a8ca-e1f9-49e9-8a67-8cf87287c6ae | what is the sum of the squares of the first 20 natural numbers ( 1 to 20 ) ? | [
"a ) 2870",
"b ) 2000",
"c ) 5650",
"d ) 6650",
"e ) 7650"
] | a ) 2870 | mathqa |
77cb9208-3642-463b-9348-cf9a54b009c2 | find the length of the wire required to go 10 times round a square field containing 53824 m 2 . | [
"a ) 15840",
"b ) 9280",
"c ) 2667",
"d ) 8766",
"e ) 66711"
] | b ) 9280 | mathqa |
3f6d7940-3bd5-400c-8b0d-3aebf3666056 | a trainer is standing in one corner of a square ground of side 25 m . his voice can be heard upto 140 m . find the area of the ground in which his voice can be heard ? | [
"a ) 12300",
"b ) 14500",
"c ) 15400",
"d ) 16700",
"e ) 18200"
] | c ) 15400 | mathqa |
878bf12c-48cb-44b2-a108-c4aa6d7dfe78 | in a rectangular coordinate system , what is the area of a triangle whose vertices have the coordinates ( - 1 , 0 ) , ( 7 , 4 ) , and ( 7 , - 4 ) ? | [
"a ) 29",
"b ) 30",
"c ) 31",
"d ) 32",
"e ) 33"
] | d ) 32 | mathqa |
7e653f71-2a22-495d-bc1a-b6759420fa48 | some students are standing in a circle in which 6 th and the 16 th student are standing opposite to each other . find how many students were present there . | [
"a ) 10",
"b ) 15",
"c ) 20",
"d ) 25",
"e ) 30"
] | c ) 20 | mathqa |
8765910f-5973-40a7-9c77-6c822a375265 | how much space , in cubic units , is left vacant when maximum number of 4 x 4 x 4 cubes are fitted in a rectangular box measuring 10 x 12 x 16 ? | [
"a ) 0",
"b ) 36",
"c ) 180",
"d ) 216",
"e ) 384"
] | e ) 384 | mathqa |
46e14338-051e-4e3a-92f3-33d4058410eb | the sum of four consecutive even numbers is 36 . find the sum of the squares of these numbers ? | [
"a ) 296",
"b ) 252",
"c ) 344",
"d ) 388",
"e ) none of these"
] | c ) 344 | mathqa |
1b6a89dd-2c62-46a1-b3a0-7755512cec3d | a rectangular courtyard 3.78 meters long 5.25 meters wide is to be paved exactly with square tiles , all of the same size . what is the largest size of the tile which could be used for the purpose ? | [
"a ) 14 cms",
"b ) 21 cms",
"c ) 42 cms",
"d ) none of these",
"e ) 56 cms"
] | b ) 21 cms | mathqa |
0dad8612-4b55-4ac8-b517-916f4502ed1e | a cubical tank is filled with water to a level of 1 foot . if the water in the tank occupies 16 cubic feet , to what fraction of its capacity is the tank filled with water ? | [
"a ) 1 / 2",
"b ) 1 / 3",
"c ) 1 / 4",
"d ) 1 / 5",
"e ) 1 / 6"
] | c ) 1 / 4 | mathqa |
6b365928-a493-4cb7-ad2e-abb655a82491 | in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the sport formulation , the ratio of flavoring to corn syrup is three times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation .... | [
"a ) 15",
"b ) 30",
"c ) 45",
"d ) 75",
"e ) 90"
] | d ) 75 | mathqa |
03306251-a3a3-469a-9115-6d2c4cc7e081 | what is the area of an equilateral triangle whose one side length is 90 ? | [
"a ) 4025 β 3",
"b ) 3525 β 3",
"c ) 3025 β 3",
"d ) 2525 β 3",
"e ) 2025 β 3"
] | e ) 2025 β 3 | mathqa |
d7e11cec-0bb3-4d17-8b6f-1e337ad36518 | the area of a sector of a circle of radius 5 cm formed by an arc of length 3.5 cm is ? | [
"a ) 0.35 cm 2",
"b ) 17.5 cm 2",
"c ) 8.75 cm 2",
"d ) 55 cm 2",
"e ) 50 cm 2"
] | c ) 8.75 cm 2 | mathqa |
180874cc-d509-41f1-b4d1-4e7e40636fe7 | of the two square fields , the area of the one is 1 hectare , while anothe one is broader by 1 % . there differences in area is : | [
"a ) 201 m ( power ) 2",
"b ) 220 m ( power ) 2",
"c ) 211 m ( power ) 2",
"d ) 219 m ( power ) 2",
"e ) 205 m ( power ) 2"
] | a ) 201 m ( power ) 2 | mathqa |
544dbf1f-20ab-456a-80dc-74d4b2f62cb1 | a rectangular circuit board is designed to have width w inches , perimeter p inches , and area x square inches . which of the following equations must be true ? | [
"a ) w ^ 2 + pw + x = 0",
"b ) w ^ 2 - pw + 2 x = 0",
"c ) 2 w ^ 2 + pw + 2 x = 0",
"d ) 2 w ^ 2 - pw - 2 x = 0",
"e ) 2 w ^ 2 - pw + 2 x = 0"
] | e ) 2 w ^ 2 - pw + 2 x = 0 | mathqa |
24372d1a-5ea3-4529-92ab-55e153a2f751 | what is the perimeter of a triangle with sides 7 and 5 that has the maximum possible area ? | [
"a ) 12 + β 7",
"b ) 12 + 4 β 7",
"c ) 12 + β 47",
"d ) 12 + 4 β 47",
"e ) 12 + β 74"
] | e ) 12 + β 74 | mathqa |
fd7a2e2b-542b-4e7d-9d5d-66c3b4a922b8 | 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 ? | [
"a ) 450",
"b ) 600",
"c ) 700",
"d ) 2400",
"e ) 3200"
] | c ) 700 | mathqa |
d5c19a3a-e951-4103-a626-7aca45a2594a | 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 900 feet squared , what is the difference between the length and the width of the roof ? | [
"a ) 38 .",
"b ) 40 .",
"c ) 42 .",
"d ) 44 .",
"e ) 45 ."
] | e ) 45 . | mathqa |
473e9922-44fb-4b57-a08c-74900459a6df | in right triangle abc , ac is the hypotenuse . if ac is 50 and ab + bc = 70 , what is the area of the triangle abc ? | [
"a ) 225",
"b ) 450",
"c ) 25 β 2",
"d ) 200",
"e ) 600"
] | e ) 600 | mathqa |
5d28b635-f0fa-4335-bab6-5d27470c79f7 | if the side length of square b is sqrt ( 3 ) times that of square a , the area of square b is how many times the area of square a ? | [
"a ) 9",
"b ) 6",
"c ) 4",
"d ) 3",
"e ) 2"
] | d ) 3 | mathqa |
83ea30e9-a300-43ff-b6ed-2592c6fa3de9 | one side of a rectangular field is 15 m and one of its diagonal is 17 m . find the area of the field . | [
"a ) 100",
"b ) 120",
"c ) 150",
"d ) 180",
"e ) none"
] | b ) 120 | mathqa |
724e907e-9648-4408-a67b-eb61bdd1d158 | a park square in shape has a 3 metre wide road inside it running along its sides . the area occupied by the road is 1764 square metres . what is the perimeter along the outer edge of the road ? | [
"a ) 576 metres",
"b ) 589 metres",
"c ) 600 metres",
"d ) 700 metres",
"e ) none"
] | c ) 600 metres | mathqa |
c163c130-2ee4-46b1-a763-858fbd1fa8d1 | square a is inscribed in circle b . if the perimeter of a is 32 , what is the circumference of b ? | [
"a ) 6 β 2 Ο",
"b ) 4 β 2 Ο",
"c ) 8 β 2 Ο",
"d ) 7 β 2 Ο",
"e ) 5"
] | c ) 8 β 2 Ο | mathqa |
2db73b36-4b3a-4ddd-849c-0f7412ec92ea | a room 5.44 m long and 3.74 m broad is to be paved with square tiles . the least number of square tiles required to cover the floor is : | [
"a ) 176",
"b ) 192",
"c ) 184",
"d ) 162",
"e ) 172"
] | a ) 176 | mathqa |
049cf026-e524-43a3-aba0-639875285ef0 | 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 | [
"a ) 16 : 9",
"b ) 9 : 16",
"c ) 9 : 12",
"d ) 16 : 12",
"e ) 4 : 12"
] | a ) 16 : 9 | mathqa |
82b8ae1c-273b-490a-866c-fd857e8e4306 | the radius of a cylinder is 12 m , height 21 m . the lateral surface area of the cylinder is : | [
"a ) 1584",
"b ) 1854",
"c ) 1458",
"d ) 1485",
"e ) none of them"
] | a ) 1584 | mathqa |
8afd3fdf-453a-467c-a47e-594ffa9a8c0a | a cylinder with base radius of 8 cm and height of 2 cm is melted to form a cone of height 6 cm . the radius of the cone will be : | [
"a ) 8 cm",
"b ) 9 cm",
"c ) 10 cm",
"d ) 11 cm",
"e ) none"
] | a ) 8 cm | mathqa |
82a732b4-4403-49b8-94f6-7bf85bae459f | 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 ? | [
"a ) a ) 3 : 4",
"b ) b ) 2 : 7",
"c ) c ) 2 : 2",
"d ) d ) 2 : 1",
"e ) e ) 2 : 9"
] | a ) a ) 3 : 4 | mathqa |
aeeeaee9-e6e1-470a-8123-e01598737549 | a sphere is inscribed in a cube with an edge of 10 . what is the shortest possible distance from one of the vertices of the cube to the surface of the sphere ? | [
"a ) 10 ( β 3 - 1 )",
"b ) 5",
"c ) 10 ( β 2 - 1 )",
"d ) 5 ( β 3 - 1 )",
"e ) 5 ( β 2 - 1 )"
] | d ) 5 ( β 3 - 1 ) | mathqa |
b5a4c2eb-b460-48f5-8557-5e73db38307f | 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 ? | [
"a ) 256",
"b ) 266",
"c ) 204",
"d ) 224",
"e ) 324"
] | c ) 204 | mathqa |
72574918-3e23-43e8-829f-d4cc377c5f73 | a cube is painted such that one pair of surfaces is painted brown and the other pair of surfaces is painted orange . the cube is cut in to 64 small cubes of equal size . find how many cubes have both the color brown and orange ? | [
"a ) 22",
"b ) 16",
"c ) 11",
"d ) 12",
"e ) 10"
] | b ) 16 | mathqa |
a85bb279-421b-4e70-8285-c265a15bbae6 | the ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm . find the ratio of the breadth and the area of the rectangle ? | [
"a ) 1 : 96",
"b ) 1 : 99",
"c ) 1 : 95",
"d ) 1 : 12",
"e ) 1 : 11"
] | a ) 1 : 96 | mathqa |
45e23b2f-5876-4302-86e1-84887f4d52b7 | what is the % change in the area of a rectangle when its length increases by 35 % and its width decreases by 35 % ? | [
"a ) 0 %",
"b ) 20 % increase",
"c ) 20 % decrease",
"d ) 12 % decrease",
"e ) insufficient data"
] | d ) 12 % decrease | mathqa |
5704bc12-3b11-4da7-b740-e35777d98a55 | find the area of circle whose diameter is 8 m . | [
"a ) 50.00 square meter",
"b ) 50.04 square meter",
"c ) 50.28 square meter",
"d ) 50.24 square meter",
"e ) 50.43 square meter"
] | c ) 50.28 square meter | mathqa |
d42a1475-98f4-4d48-b5db-f193eb71c90f | right triangle abc is the base of the prism in the figure above . if ab = ac = β 2 and the height of the prism is 3 , what is the volume of the prism ? | [
"a ) 1",
"b ) 3 / 2",
"c ) 2",
"d ) 3",
"e ) 6"
] | d ) 3 | mathqa |
da7bb3eb-15d3-468f-962b-cfc78a364ff3 | a rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn . if the area of the lawn is 2109 sq . m , then what is the width of the road ? | [
"a ) 2",
"b ) 3.5",
"c ) 3",
"d ) 4",
"e ) 5"
] | c ) 3 | mathqa |
937ee724-eb25-4830-a77f-a6c0745b5611 | the ratio of the volumes of two cubes is 27 : 64 . what is the ratio of their total surface areas ? | [
"a ) 18 : 21",
"b ) 81 : 13",
"c ) 8 : 15",
"d ) 16 : 21",
"e ) 1 : 13"
] | d ) 16 : 21 | mathqa |
b3912b4f-774c-4816-b94e-630d00156c3c | a rectangular mat has an area of 120 sq . metres and perimeter of 46 m . the length of its diagonal is : | [
"a ) 19 m",
"b ) 17 m",
"c ) 15 m",
"d ) 16 m",
"e ) 20 m"
] | b ) 17 m | mathqa |
1f7067c4-c14e-4e1b-8018-bcf698326317 | what is the radius of the incircle of the triangle whose sides measure 5 , 12 and 13 units ? | [
"a ) 2 units",
"b ) 12 units",
"c ) 6.5 units",
"d ) 6 units",
"e ) 7.5 units"
] | a ) 2 units | mathqa |
c08b2b42-b5f7-4f9f-a47b-061deca0ac0b | 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 60 square feet of the wall , and no tiles ov... | [
"a ) 160",
"b ) 240",
"c ) 330",
"d ) 440",
"e ) 560"
] | c ) 330 | mathqa |
8aa16783-731a-4603-adc4-a10f6f9b34fd | a and b runs around a circular track . a beats b by one round or 10 minutes . in this race , they had completed 4 rounds . if the race was only of one round , find the a ' s time over the course : | [
"a ) 8.5 min",
"b ) 7.5 min",
"c ) 1.5 min",
"d ) 9.5 min",
"e ) 4.5 min"
] | b ) 7.5 min | mathqa |
fe60a75f-8a1a-41fc-b266-b4ee0b56b278 | the radius of a cone is 10 m , height 21 m . the volume of the cone is : | [
"a ) 2200",
"b ) 1100",
"c ) 5500",
"d ) 3300",
"e ) 1050"
] | a ) 2200 | mathqa |
7f486d95-3ee5-4a92-bb44-e622c866b446 | 2.2 cubic dm of lead is to be drawn into a cylindrical wire 0.50 cm diameter . find the length of the wire in meters . | [
"a ) 110",
"b ) 111",
"c ) 113",
"d ) 112",
"e ) none of them"
] | d ) 112 | mathqa |
a223e521-7fa5-4540-8842-fde4db4de284 | 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 . | [
"a ) 90 , 85,60",
"b ) 85 , 75,60",
"c ) 90 , 75,70",
"d ) 90 , 75,60",
"e ) none"
] | d ) 90 , 75,60 | mathqa |
30d2abcb-61ab-43ba-a45f-d478ea4a2c2e | a cube of side 5 cm is painted on all its side . if it is sliced into 1 cubic centimer cubes , how many 1 cubic centimeter cubes will have exactly one of their sides painted ? | [
"a ) 9",
"b ) 61",
"c ) 98",
"d ) 54",
"e ) 64"
] | d ) 54 | mathqa |
b644029f-1916-46fe-9c6a-bcd825ea48dd | the radius and height of a right circular cone are in the ratio 3 : 4 . if its volume is 96 β cm Β³ , what is its slant height ? | [
"a ) 8 cm",
"b ) 10 cm",
"c ) 12 cm",
"d ) 14 cm",
"e ) none"
] | b ) 10 cm | mathqa |
51f848ea-6295-4956-b0d4-5fc9f5c873c9 | pr is tangent to a circle at point p . q is another point on circle such that pq is diameter of circle and rq cuts circle at m . if radius of circle is 4 units and pr = 6 units . find ratio of triangle pmr to pqr . | [
"a ) 11 / 20",
"b ) 3 / 5",
"c ) 13 / 20",
"d ) 18 / 25",
"e ) 18 / 26"
] | c ) 13 / 20 | mathqa |
2728b8c7-d98f-4d84-81d2-34bdb3c1a531 | a rectangular rug with side lengths of 2 feet and 7 feet is placed on a square floor that has an area of 64 square feet . if the surface of the rug does not extend beyond the area of the floor , what fraction of the area of the floor is not covered by the rug ? | [
"a ) a . 3 / 16",
"b ) 1 / 4",
"c ) c . 1 / 2",
"d ) 25 / 32",
"e ) 7 / 8"
] | d ) 25 / 32 | mathqa |
7441e72a-b56a-4223-93d6-a0a176b0ff5f | if y is the smallest positive integer such that 4410 multiplied by y is the square of an integer , then y must be | [
"a ) 2",
"b ) 5",
"c ) 6",
"d ) 7",
"e ) 10"
] | e ) 10 | mathqa |
09ad70b6-1117-4492-8087-b9b7974e1ef7 | the base of pyramid p is an isosceles right triangle whose leg is 3 . if the height of p is 4 , what is the volume of p ? | [
"a ) 36",
"b ) 18",
"c ) 12",
"d ) 8",
"e ) 6"
] | e ) 6 | mathqa |
4f583f33-a258-40d0-9e83-fac084daf49c | 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 ? | [
"a ) 3,360",
"b ) 307,500",
"c ) 621,500",
"d ) 704,000",
"e ) 2 , 816,000"
] | b ) 307,500 | mathqa |
279c03a3-7120-4427-9fe0-87aa7f0d91fb | 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 . | [
"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"
] | a ) w = 15 and l = 20 | mathqa |
530c2fb8-1515-49ac-9cc1-1ffae2917d95 | a metallic sheet is of rectangular shape with dimensions 40 m x 30 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 cube ) is : | [
"a ) 3220 m cube",
"b ) 4140 m cube",
"c ) 2688 m cube",
"d ) 4000 m cube",
"e ) none of these"
] | c ) 2688 m cube | mathqa |
d33c680b-ca0e-4663-a947-c5c002c43573 | a cylinder and a cone have the same height and same radius of base . the ratio between the volumes of the cylinder and the cone is : | [
"a ) 4 : 1",
"b ) 2 : 1",
"c ) 7 : 1",
"d ) 5 : 1",
"e ) 3 : 1"
] | e ) 3 : 1 | mathqa |
391a3cca-07d6-46bf-a2cc-4e48c61b6c63 | the area of a rectangular field is 144 m 2 . if the length had been 6 metres more , the area would have been 54 m 2 more . the original length of the field is | [
"a ) 22 metres",
"b ) 18 metres",
"c ) 16 metres",
"d ) 24 metres",
"e ) none of these"
] | c ) 16 metres | mathqa |
821a00f6-bf65-4702-99ef-b77f74085008 | a circular wire of radius 42 cm is cut and bent into the form of a rectangle whose sides are in the ratio of 6 : 5 . the smaller side of the rectangle is : | [
"a ) 30 cm",
"b ) 60 cm",
"c ) 72 cm",
"d ) 132 cm .",
"e ) 142 cm ."
] | b ) 60 cm | mathqa |
fafd2d96-c318-4823-a648-c0b921ca5944 | the side of a square is increased by 15 % then how much % does its area increases ? | [
"a ) 52.65",
"b ) 56.25",
"c ) 50.75",
"d ) 32.25",
"e ) 52.75"
] | d ) 32.25 | mathqa |
82b7b7ff-dd6a-4572-9a37-2ac20aca8bf9 | 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 r... | [
"a ) 4 hours",
"b ) 11 hours",
"c ) 7 hours 15 minutes",
"d ) 3 hours",
"e ) 14 hours"
] | d ) 3 hours | mathqa |
02b50e4c-3508-4412-a7a2-c81b9f4d5765 | two cylinders of the radius in the ratio 3 : 5 and heights in the ratio 10 : 9 . then find the volumes ratio ? | [
"a ) 4 : 5",
"b ) 1 : 5",
"c ) 3 : 5",
"d ) 1.5 : 5",
"e ) 2 : 5"
] | e ) 2 : 5 | mathqa |
86286e68-4651-40ee-b358-de910a77364a | in the rectangular coordinate system point o has coordinates ( 0,0 ) and point b has coordinates ( 5,5 ) and if point a is equidistant from points o and b and the area of the triangle oab is 16 , which of the following are the possible coordinates of point a . | [
"a ) ( - 2,6 )",
"b ) ( 0,4 )",
"c ) ( 2 , - 6 )",
"d ) ( 2,6 )",
"e ) ( 4,0 )"
] | d ) ( 2,6 ) | mathqa |
55d695cc-9ce2-433a-9f9b-47b01981dbdc | what is the perimeter of a square with area 9 p ^ 2 / 64 ? | [
"a ) 3 p / 2",
"b ) 3 p ^ 2 / 4",
"c ) 3 p",
"d ) 3 p ^ 2",
"e ) 4 p / 3"
] | a ) 3 p / 2 | mathqa |
7585efa8-69e8-4400-be0b-33ce9da13974 | there is rain at a rate of 12 centimeters per hour all over new jersey . somewhere downtown in new jersey a group of students are waiting for the rain to stop . if the rain filled a tank the with a base area of 250 square centimeters and a depth of 6 centimeters , how long did the students wait for the rain to stop ? | [
"a ) 8 hours",
"b ) 4 hours 25 minutes",
"c ) 3 hours 15 minutes",
"d ) 6 hours",
"e ) 2 hours"
] | e ) 2 hours | mathqa |
2594e021-3b10-4683-a7a1-5e8535725936 | 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 | [
"a ) 25 : 16",
"b ) 24 : 25",
"c ) 5 : 6",
"d ) 4 : 5",
"e ) 4 : 9"
] | b ) 24 : 25 | mathqa |
0faff9e7-6afd-483f-a8d9-1e7b1deb4c97 | what is the distance between two parallel chords of length 32 cm and 24 cm in a circle of radius 20 cm ? | [
"a ) 1 or 7",
"b ) 3 or 21",
"c ) 4 or 28",
"d ) 2 or 14",
"e ) 5 or 14"
] | c ) 4 or 28 | mathqa |
3500ee86-c593-4afb-8949-2b632bc8166b | what would be the perimeter of the square whose side is equal to the diameter of the circle whose perimeter is 52.5 cm ? | [
"a ) 52.5",
"b ) 60.2",
"c ) 66.8",
"d ) 74.25",
"e ) 80.12"
] | c ) 66.8 | mathqa |
c2d840ef-ffc8-4f66-bea6-067ca5214a25 | 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 ? | [
"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 ."
] | c ) 8 / 9 sq units . | mathqa |
006e33e4-73cd-421f-96ec-ac6e7e0d7d0d | 66 cubic centimetres of silver is drawn into a wire 1 mm in diameter . the length if the wire in meters will be : | [
"a ) 76 m",
"b ) 80 m",
"c ) 84 m",
"d ) 88 m",
"e ) none of these"
] | c ) 84 m | mathqa |
5becc054-dba8-4dbd-80ed-a63eb91ed3c5 | the edge of a cube is 7 a cm . find its surface ? | [
"a ) 24 a 8",
"b ) 24 a 4",
"c ) 24 a 1",
"d ) 24 a 2",
"e ) 294 a 2"
] | e ) 294 a 2 | mathqa |
bfef313f-fd76-4d84-aca8-81f14693a7e8 | what is the maximum area that can be enclosed by a wire 44 cm long ? | [
"a ) 77",
"b ) 154",
"c ) 308",
"d ) 318",
"e ) none of these"
] | b ) 154 | mathqa |
835c49d4-f3c3-4fe7-9f49-da3fe7c55f99 | huey ' s hip pizza sells two sizes of square pizzas : a small pizza that measures 9 inches on a side and costs $ 10 , and a large pizza that measures 14 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 t... | [
"a ) 5 square inches",
"b ) 10 square inches",
"c ) 15 square inches",
"d ) 25 square inches",
"e ) 34 square inches"
] | e ) 34 square inches | mathqa |
3c300a2c-4fa4-4197-ad57-24bfd0ebc1e1 | if f is the smallest positive integer such that 3,150 multiplied by f is the square of an integer , then f must be | [
"a ) 2",
"b ) 5",
"c ) 6",
"d ) 7",
"e ) 14"
] | e ) 14 | mathqa |
bc332b1e-bfc2-4a70-8252-ef010bfc8a02 | the area of a circle of radius 5 is numerically what percent of its circumference ? | [
"a ) 200",
"b ) 225",
"c ) 240",
"d ) 250",
"e ) none"
] | d ) 250 | mathqa |
883c166d-254f-4e0b-858a-86cbe72d079a | v is the volume of a cylinder ; the radius r is 3.4 . the height is 350 % more than the radius . which of the following is true ? | [
"a ) 100 < v < 300",
"b ) 300 < v < 500",
"c ) 500 < v < 700",
"d ) 700 < v < 900",
"e ) 900 < v < 1100"
] | c ) 500 < v < 700 | mathqa |
ce6b9c89-8040-4620-95cc-531ac67a5007 | the length and breadth of a rectangle is increased by 10 % and 25 % respectively . what is the increase in the area ? | [
"a ) 37.2 %",
"b ) 37.5 %",
"c ) 30.2 %",
"d ) 37.7 %",
"e ) 33.2 %"
] | b ) 37.5 % | mathqa |
6998077a-07e6-48b2-bb52-7b830df24926 | if the sides of a square are multiplied by sqrt ( 5 ) , the area of the original square is how many times as large as the area of the resultant square ? | [
"a ) 5 %",
"b ) 20 %",
"c ) 50 %",
"d ) 100 %",
"e ) 120 %"
] | b ) 20 % | mathqa |
1a4d7e55-3047-482d-928d-33d8e61e19d1 | obra drove 150 Ο meters along a circular track . if the area enclosed by the circular track on which she drove is 57,600 Ο square meters , what percentage of the circular track did obra drive ? | [
"a ) 6.67 %",
"b ) 12.5 %",
"c ) 18.75 %",
"d ) 25 %",
"e ) 31.25 %"
] | e ) 31.25 % | mathqa |
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