id string | question string | choices list | answer_key string | source string |
|---|---|---|---|---|
56f6659e-9bf1-46cd-a2c3-d8217fd8dedd | juan and his five friends will sit on six fixed seats around a circular table . if juan must sit on the seat closest to the window and jamal must sit next to juan , in how many can juan and his five friends sit ? | [
"a ) 20",
"b ) 24",
"c ) 48",
"d ) 72",
"e ) 120"
] | c ) 48 | mathqa |
1e197947-27bf-4fdd-801e-2aa7bbbebdb3 | the weight of a hollow sphere is directly dependent on its surface area . the surface area of a sphere is 4 Ο Β· 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 q grams... | [
"a ) q = 16",
"b ) q = 32",
"c ) 64",
"d ) 128",
"e ) 512"
] | b ) q = 32 | mathqa |
6d97f3ed-4665-4728-b87b-1fac206c17e3 | the ratio of length to width of a rectangular showroom window is 3.3 to 2 . if the width of the window is 8 feet , what is the approximate length of the display in feet ? | [
"a ) 7",
"b ) 11",
"c ) 13",
"d ) 16",
"e ) 26"
] | c ) 13 | mathqa |
157d7f30-614c-4136-bfc9-63072a169380 | find the area of a rhombus having each side equal to 13 cm and one of whose diagonal is 24 cm . | [
"a ) 150 sq . cm",
"b ) 120 sq . cm",
"c ) 130 sq . cm",
"d ) 125 sq . cm",
"e ) 110 sq . cm"
] | b ) 120 sq . cm | mathqa |
6ef837d9-9583-4f23-b295-ca92174ab1d7 | anil grows tomatoes in his backyard which is in the shape of a square . each tomato takes 1 cm 2 in his backyard . this year , he has been able to grow 131 more tomatoes than last year . the shape of the backyard remained a square . how many tomatoes did anil produce this year ? | [
"a ) 4225",
"b ) 4096",
"c ) 4356",
"d ) insufficient data",
"e ) none of these"
] | c ) 4356 | mathqa |
4e1653c8-fd36-441b-9bce-68c25fd49f56 | water is poured into a cylindrical well at the rate of 22 cubic meters per hour , the level of water in the tank rises at a rate of 0.7 meters per hour . which of the following best approximates the diameter of the tank in meters ? | [
"a ) β 10 / 2",
"b ) β 10",
"c ) 2 β 10",
"d ) 5",
"e ) 10"
] | c ) 2 β 10 | mathqa |
7309e3a2-ba95-45f6-b641-78fd9acf0c43 | the edges of a cuboid are 2 cm , 5 cm and 3 cm . find the volume of the cuboid ? | [
"a ) 20",
"b ) 60",
"c ) 80",
"d ) 30",
"e ) 45"
] | d ) 30 | mathqa |
a52b675e-13c8-45fa-8534-e1f513b774a2 | a rectangle has 20 meter length and 15 meter breadth . find ratio between area of rectangle and square whose side is same with rectangle ' s length . | [
"a ) 3 : 2",
"b ) 3 : 4",
"c ) 4 : 5",
"d ) 2 : 3",
"e ) 2 : 5"
] | b ) 3 : 4 | mathqa |
fe91f091-7b9d-4403-8127-7600f00bf3d7 | if n is the smallest integer such that 432 times n is the square of an integer , what is the value of n ? | [
"a ) 2",
"b ) 3",
"c ) 6",
"d ) 12",
"e ) 24"
] | b ) 3 | mathqa |
6f3716c5-fdb9-460e-a8ca-cd228aac631d | the volume v 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 , in cubic meters per minutes , at which the water is flowing into the swimming pool ? | [
"a ) 0.125",
"b ) 0.25",
"c ) 0.5",
"d ) 0.75",
"e ) not enough information to determine the rate"
] | e ) not enough information to determine the rate | mathqa |
8b3a80c1-0024-4cfb-b729-6965408a3950 | find the area of a triangle whose sides are 41 cm , 28 cm , 15 cm . also , find the length of the altitude corresponding to the largest side of the triangle . | [
"a ) 4.1 cm",
"b ) 5.1 cm",
"c ) 6.1 cm",
"d ) 7.1 cm",
"e ) 8.1 cm"
] | c ) 6.1 cm | mathqa |
2ab103ec-54c3-413b-b30e-74a8223f231e | 36 people { a 1 , a 2 β¦ a 36 } meet and shake hands in a circular fashion . in other words , there are totally 36 handshakes involving the pairs , { a 1 , a 2 } , { a 2 , a 3 } , β¦ , { a 35 , a 36 } , { a 36 , a 1 } . then size of the smallest set of people such that the rest have shaken hands with at least one person ... | [
"a ) 76",
"b ) 55",
"c ) 44",
"d ) 12",
"e ) 91"
] | d ) 12 | mathqa |
86b11f37-0192-40fa-9cc0-b371354e3751 | the difference between the squares of two consecutive numbers is 37 . find the numbers . | [
"a ) 38 and 19 .",
"b ) 28 and 19 .",
"c ) 18 and 19 .",
"d ) 18 and 29 .",
"e ) none"
] | c ) 18 and 19 . | mathqa |
c03cf4a0-3abb-4843-9c9f-7b611467351d | the figure above shows the dimensions of a semicircular cross section of a one - way tunnel . the single traffic lane is 12 feet wide and is equidistant from the sides of the tunnel . if vehicles must clear the top of the tunnel by at least Β½ foot when they are inside the traffic lane , what should be the limit t on th... | [
"a ) 5 Β½ ft",
"b ) 7 Β½ ft",
"c ) 8 Β½ ft",
"d ) 9 Β½ ft",
"e ) 10 ft"
] | b ) 7 Β½ ft | mathqa |
5ca06875-cd4d-42d6-9ea4-c7d192c7041a | the length of a rectangular landscape is 4 times its breadth . there is a playground in it whose area is 1200 square mtr & which is 1 / 3 rd of the total landscape . what is the length of the landscape ? | [
"a ) 90",
"b ) 100",
"c ) 120",
"d ) 130",
"e ) 140"
] | c ) 120 | mathqa |
eb1d5aac-678f-473f-b696-032e356eae1b | 5 cylinders are built successively , the first is 4 meters tall and the following cylinders are each 4 meters taller than the previous . if the perimeter is 10 pi m , what is the total surface area of the 5 cylinders , excluding the bases of each cylinder ? | [
"a ) 725 pi sq m",
"b ) 1025 pi sq m",
"c ) 600 pi sq m",
"d ) 125 pi sq m",
"e ) 850 pi sq m"
] | a ) 725 pi sq m | mathqa |
1221cba7-4c4f-4b5e-8c11-de2e38a08c0e | 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 18 - inch screen would be how many square inches greater than the area of a square 16 - inch screen ? | [
"a ) 2",
"b ) 4",
"c ) 34",
"d ) 38",
"e ) 40"
] | c ) 34 | mathqa |
93ebca89-fbab-4f1a-860d-60fe35fe5180 | the measure of the side of a square is multiplied by 5 . if x represents the perimeter of the original square , what is the value of the new perimeter ? | [
"a ) 3 x",
"b ) 4 x",
"c ) 5 x",
"d ) 12 x",
"e ) 27 x"
] | c ) 5 x | mathqa |
a521f337-20f9-4184-abff-bdd9f0852317 | an isosceles triangle those sides are 13 cm , 13 cm , 10 cm long inscribed in a circle . find the radius of the circle | [
"a ) 8 cm",
"b ) 9 cm",
"c ) 10 cm",
"d ) 11 cm",
"e ) 7 cm"
] | a ) 8 cm | mathqa |
9da15ccc-c118-4ef0-9cf0-98df9ed6a3a4 | the ratio between the length and the breadth of a rectangular park is 1 : 4 . if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 8 min , then the area of the park ( in sq . m ) is ? | [
"a ) 124545 m",
"b ) 134561 m",
"c ) 156787 m",
"d ) 15450 m",
"e ) 102400 m"
] | e ) 102400 m | mathqa |
10c8d672-2ecc-45f8-b60d-d6f0a635b411 | find the sum of divisors of 544 which are perfect squares | [
"a ) 21",
"b ) 22",
"c ) 23",
"d ) 24",
"e ) 25"
] | a ) 21 | mathqa |
f5fc0606-c031-4cbf-b2b5-790d0a22ee18 | a cylindrical container of radius 6 cm and height 15 cm is filled with ice - cream . the whole icecream has to be distributed to 10 children in equal cones with hemispherical tops . if the height of the conical portion is four times the radius of its base , find the radius of the ice - cream cone . | [
"a ) 1",
"b ) 2",
"c ) 3",
"d ) 4",
"e ) 5"
] | c ) 3 | mathqa |
225b8914-0766-4ba2-b5b1-9ae892060c70 | the sides of a cube are in the ratio 1 : 2 the ratio of their volume is ? | [
"a ) 1 : 6",
"b ) 1 : 4",
"c ) 1 : 0",
"d ) 1 : 2",
"e ) 1 : 1"
] | b ) 1 : 4 | mathqa |
e38dcc5d-1de7-473a-b6ba-9f07aca9e9ae | people were sitting in a circle . 7 th one is direct opposite to 18 th one . . then how many were there in that group ? | [
"a ) 21",
"b ) 22",
"c ) 23",
"d ) 24",
"e ) 20"
] | b ) 22 | mathqa |
a319f430-4c65-40b6-a3b6-78aa1a6af4af | f and e are midpoints of ab and ad respectively . if the side of square abcd is 8 , what is the area of triangle cef ? | [
"a ) 8 β 2",
"b ) 9 β 3",
"c ) 18",
"d ) 16 β 2",
"e ) 24"
] | e ) 24 | mathqa |
2457de8f-a978-4a78-9e0c-5c55aa1aa3bd | in front of you lies a figure made up with 20 x 10 square blocks . will you be able to find out the number of unique squares and rectangles that are being formed inside this figure by combining two or more distinct squares ? | [
"a ) 11647",
"b ) 11550",
"c ) 12654",
"d ) 26537",
"e ) 32651"
] | b ) 11550 | mathqa |
c9a1fc4b-f09b-40f0-b58d-64857d4d58e3 | the sides of the triangle are in the ratio 1 / 2 : 1 / 3 : 1 / 4 and its perimeter is 104 cm . the length of the longest side is ? | [
"a ) 32 cm",
"b ) 48 cm",
"c ) 50 cm",
"d ) 28 cm",
"e ) 30 cm"
] | b ) 48 cm | mathqa |
b09c96b2-3f60-46c7-a5f5-988377088840 | what should be added to 4440 so that it may become a perfect square ? | [
"a ) 44",
"b ) 45",
"c ) 46",
"d ) 47",
"e ) 49"
] | e ) 49 | mathqa |
4d41d8c8-43a7-46ce-bc74-cadbb075d817 | a cubical block of metal weighs 5 pounds . how much will another cube of the same metal weigh if its sides are twice as long ? | [
"a ) 48",
"b ) 40",
"c ) 24",
"d ) 18",
"e ) 12"
] | b ) 40 | mathqa |
d3243f84-ac11-4e2f-b9b7-5a94a62e45fd | the ratio of the radius of two circles is 2 : 3 , and then the ratio of their areas is ? | [
"a ) 1 : 7",
"b ) 2 : 9",
"c ) 4 : 9",
"d ) 3 : 7",
"e ) 3 : 4"
] | c ) 4 : 9 | mathqa |
909b8d22-c158-4220-9f58-98fe1e790dc4 | the area of a square garden is q square feet and the perimeter is p feet . if q = 2 p + 20 , what is the perimeter of the garden in feet ? | [
"a ) 32",
"b ) 36",
"c ) 40",
"d ) 44",
"e ) 48"
] | c ) 40 | mathqa |
513d0088-39b1-457c-ae47-f2f9631a87f8 | square x is inscribed in circle y . if the perimeter of x is 64 , what is the circumference of y ? | [
"a ) 16 β 2 Ο",
"b ) 8 β 2 Ο",
"c ) 22 β 2 Ο",
"d ) 12 β 2 Ο",
"e ) 9"
] | a ) 16 β 2 Ο | mathqa |
3886b50a-f345-465d-8059-3bf5fbc52d37 | a making a cube with dimension 5 * 5 * 5 using 1 * 1 * 1 cubes . what is the number of cubes needed to make hollow cube looking of the same shape . | [
"a ) 98",
"b ) 99",
"c ) 100",
"d ) 101",
"e ) 102"
] | a ) 98 | mathqa |
9107acf7-39ba-456f-a579-e255e9fa4506 | three interviewers , x , y , and z are interviewing 40 applicants . only with three interviewers ' admission can an applicant be admitted . if interviewer x admitted 15 applicants , y admitted 17 applicants , and z admitted 20 applicants , at least how many applicants get the admission ? | [
"a ) 0",
"b ) 2",
"c ) 6",
"d ) 8",
"e ) 12"
] | a ) 0 | mathqa |
120d8212-e6e6-4d9d-bfa6-8b29b0e282d0 | the breath of a rectangular landscape is 8 times its length . there is a playground in it whose area is 3200 square mtr & which is 1 / 9 rd of the total landscape . what is the breath of the landscape ? | [
"a ) 420",
"b ) 430",
"c ) 280",
"d ) 360",
"e ) 480"
] | e ) 480 | mathqa |
133956df-0d5d-411d-a851-aaf83c65e211 | if a rectangular room measures 8 meters by 5 meters by 4 meters , what is the volume of the room in cubic centimeters ? ( 1 meter = 100 centimeters ) | [
"a ) 24,000",
"b ) 16 , 000,000",
"c ) 2 , 400,000",
"d ) 24 , 000,000",
"e ) 240 , 000,000"
] | b ) 16 , 000,000 | mathqa |
bc881a3a-c71e-40d7-853d-c075332ab487 | if the area of the equilateral triangle above is 0.75 , what is the area of the adjacent square ? | [
"a ) ( β 3 ) / 2",
"b ) β 3",
"c ) β 6",
"d ) 3",
"e ) 2 β 3"
] | b ) β 3 | mathqa |
8ed9df94-4309-4373-9246-c1d41d8fa885 | 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 ? | [
"a ) 3 hours",
"b ) 4 hours 15 minutes",
"c ) 6 hours",
"d ) 2 hours 5 minutes",
"e ) 8 hours"
] | a ) 3 hours | mathqa |
8811f4ab-92cd-4315-9dc5-073b0c5f43f0 | the diagonal of a rhombus are 40 m and 30 m . its area is : | [
"a ) 600",
"b ) 450",
"c ) 350",
"d ) 500",
"e ) 620"
] | a ) 600 | mathqa |
08e60412-033b-4977-a7ca-af736b693a2f | the area of a rectangle is 360 sq . m . if its length is increased by 10 m and its width is decreased by 6 m , then its area does not change . find the perimeter of the original rectangle . | [
"a ) 74 m",
"b ) 75 m",
"c ) 76 m",
"d ) 77 m",
"e ) 78 m"
] | c ) 76 m | mathqa |
179f931d-33dc-49ea-964e-efe815a6633b | how many squares are there between 2011 to 2300 ? ? ? ? | [
"a ) 3",
"b ) 4",
"c ) 5",
"d ) 6",
"e ) 7"
] | a ) 3 | mathqa |
b9e0e786-057c-4840-a560-698fcc756812 | if a cube has a volume of 125 , what is the surface area of one side ? | [
"a ) 5",
"b ) 25",
"c ) 50",
"d ) 150",
"e ) 625"
] | b ) 25 | mathqa |
3e7029fe-ce14-4bca-baaf-fb32ad348dd1 | right triangle pqr is the base of the prism in the figure above . if pq = pr = Γ’ Λ Ε‘ 5 and the height of the prism is 10 , what is the volume of the prism ? | [
"a ) 5",
"b ) 10",
"c ) 15",
"d ) 20",
"e ) 25"
] | e ) 25 | mathqa |
569b8325-95bb-46b5-b761-0cdb41cc53dc | a rectangular courty 3.78 metres long and 5.25 metres 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 ) can not be determined"
] | b ) 21 cms | mathqa |
268611df-87cf-4729-bd70-81233e319fdd | a tank with a volume of 30 cubic feet has one inlet pipe and 2 outlet pipes . the inlet pipe fills water into the tank at the rate of 3 cubic inches / min and the 2 outlet pipes empty it out at the rates of 12 cubic inches / min and 6 cubic inches / min respectively . if all 3 pipes are opened when the tank is full , h... | [
"a ) 2345",
"b ) 3456",
"c ) 4567",
"d ) 5678",
"e ) 6789"
] | b ) 3456 | mathqa |
04cb9b8d-17e5-4b7a-82d5-22b549c8100a | the area of an equilateral triangle is subtracted from its base , and the perimeter is then added to this total , the result is 4 . what is the height of the equilateral triangle if its base is 2 ? | [
"a ) 2",
"b ) 3",
"c ) 4",
"d ) 5",
"e ) 6"
] | c ) 4 | mathqa |
e097fd60-2a7e-4ca4-bed0-0f7498284286 | in the rectangular coordinate system , points ( 8 , 0 ) and ( β 8 , 0 ) both lie on circle c . what is the maximum possible value of the radius of c ? | [
"a ) 2",
"b ) 4",
"c ) 8",
"d ) 16",
"e ) none of the above"
] | c ) 8 | mathqa |
88e8d4c3-0379-4c66-ba87-ac83d46c97c9 | a circular rim a having a diameter of 45 inches is rotating at the rate of x inches / min . another circular rim b with a diameter of 30 inches is rotating at the rate of y inches / min . what is the value of y in terms of x , if both the rims reach their starting positions at the same time after every rotation . | [
"a ) 3 x / 2",
"b ) 4 x / 5",
"c ) 7 x / 5",
"d ) 5 x / 7",
"e ) 3 x / 4"
] | a ) 3 x / 2 | mathqa |
d41e680a-8d25-48b1-bac1-3bd2b790234c | the diagonal of the floor of a rectangular closet is 7 feet . the shorter side of the closet is 4 feet . what is the area of the closet in square feet ? | [
"a ) 20 sq . ft",
"b ) 27 sq . ft",
"c ) 37 sq . ft",
"d ) 47 sq . ft",
"e ) 57 sq . ft"
] | b ) 27 sq . ft | mathqa |
e93f7766-d41e-4a74-8631-ceeba1e19fc0 | there are 60 slots around a circle , numbered 1 to 60 . a man starts fromthe first slot and jumps to the 5 th slot . from there he jumps to the 9 th slot andso on . in which slot will he land in his 2200 th jump ? | [
"a ) 1",
"b ) 5",
"c ) 41",
"d ) 45",
"e ) 46"
] | c ) 41 | mathqa |
62042d5e-fde7-4bb0-aea0-363c6c241238 | water is poured into a tank so that the tank is being filled at the rate of 5 cubic feet per hour . if the empty rectangular tank is 10 feet long , 6 feet wide , and 5 feet deep , approximately how many hours does it take to fill the tank ? | [
"a ) 40",
"b ) 45",
"c ) 50",
"d ) 55",
"e ) 60"
] | e ) 60 | mathqa |
ea4a9c04-3c49-4c2c-b48a-17394eaf99c3 | the diagonal of a rectangle is cm and its area is 20 sq . cm . the perimeter of the rectangle must be : | [
"a ) 18",
"b ) 77",
"c ) 625",
"d ) 276",
"e ) 191"
] | a ) 18 | mathqa |
96cdc806-019c-4712-8d4d-e5a659e09bdf | calculate the area of a triangle , if the sides are 13 cm , 12 cm and 5 cm , what is its area ? | [
"a ) 36 cm 2",
"b ) 35 cm 2",
"c ) 30 cm 2",
"d ) 32 cm 2",
"e ) 31 cm 2"
] | c ) 30 cm 2 | mathqa |
cd7952f6-0066-417e-b799-1d047fdb2bfe | in a certain circle there are 9 points . what is the number of the triangles connecting 4 points of the 9 points ? | [
"a ) 80",
"b ) 96",
"c ) 108",
"d ) 126",
"e ) 132"
] | d ) 126 | mathqa |
7dc961b8-9acf-4e5c-9ffb-2ef82348d935 | 34 . the side surface of a cylinder is rolled with a rectangle . if the height of a cylinder is 16 feet and the perimeter of the circular base . is 12 feet , what is the diagonal of the rectangle ? | [
"a ) 16",
"b ) 20",
"c ) 18",
"d ) 22",
"e ) 21"
] | b ) 20 | mathqa |
9e39d81c-e680-4922-9b7d-227da58f1268 | two cubes of tire sides ratio 2 : 3 . find its cube volumes ratio ? | [
"a ) 2 : 27",
"b ) 3 : 27",
"c ) 1 : 27",
"d ) 8 : 27",
"e ) 5 : 27"
] | d ) 8 : 27 | mathqa |
f6032a30-2974-458e-a718-158c43233352 | a rectangular pig farm has a fence along three sides and a wall along the fourth side . the fenced side opposite the wall is twice the length of each of the other two fenced sides . if the area of the rectangular region is 1250 square feet , what is the total length of the fence , in feet ? | [
"a ) 25",
"b ) 50",
"c ) 100",
"d ) 150",
"e ) 200"
] | d ) 150 | mathqa |
f6344565-caff-43c0-b970-a47cb1d4825d | by combining number of small cubes , a larger cube is produced . the ratio between volume of larger cube and small cube is 1000 : 8 then how many small cubes are required to produce a larger cube ? | [
"a ) 100",
"b ) 2",
"c ) 5",
"d ) 125",
"e ) 80"
] | d ) 125 | mathqa |
a67ff987-d7db-41dc-9ca1-f9bfc6dc9707 | the length of a rectangle is one - sixth of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 1296 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ? | [
"a ) 560 sq . units",
"b ) 360 sq . units",
"c ) 260 sq . units",
"d ) 460 sq . units",
"e ) 160 sq . units"
] | b ) 360 sq . units | mathqa |
02a36574-4adf-4519-893c-8b02cc2b450e | in a shower , 5 cm of rain falls . the volume of water that falls on 1.5 hectares of ground is : | [
"a ) 75 cu . m",
"b ) 750 cu . m",
"c ) 7500 cu . m",
"d ) 75000 cu . m",
"e ) none of these"
] | b ) 750 cu . m | mathqa |
37633699-902f-4cd0-9ad8-0c92ccf9af77 | the two sides of a triangle are 32 and 68 . the area is 960 sq . cm . find the third side of triangle ? | [
"a ) 45",
"b ) 50",
"c ) 60",
"d ) 70",
"e ) 80"
] | c ) 60 | mathqa |
e5352f15-dc68-49ba-a4e0-ae1eb596af6d | can n and can Π² are both right circular cylinders . the radius of can n is twice the radius of can b , while the height of can n is half the height of can b . if it costs $ 4.00 to fill half of can b with a certain brand of gasoline , how much would it cost to completely fill can n with the same brand of gasoline ? | [
"a ) $ 1",
"b ) $ 2",
"c ) $ 4",
"d ) $ 8",
"e ) $ 16"
] | e ) $ 16 | mathqa |
deed50a1-e241-4acf-af15-700d1c9d4a7b | if paint costs $ 3.20 per quart , and a quart covers 1200 square feet , how much will it cost to paint the outside of a cube 10 feet on each edge ? | [
"a ) $ 1.60",
"b ) $ 16.00",
"c ) $ 96.00",
"d ) $ 108.00",
"e ) $ 196.00"
] | a ) $ 1.60 | mathqa |
a5eaf283-a49a-4778-9725-aa41098f011c | the circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 33 ft long . what is the distance traveled by the cart , when the front wheel has done five more revolutions than the rear wheel ? | [
"a ) 20 ft",
"b ) 25 ft",
"c ) 750 ft",
"d ) 900 ft",
"e ) 1650 ft"
] | e ) 1650 ft | mathqa |
1c2b1cd6-dc76-4331-bc16-4b291d0816e3 | in a triangle abc , ab = 6 , bc = 8 and ac = 10 . a perpendicular dropped from b , meets the side ac at d . a circle of radius bd ( with centre b ) is drawn . if the circle cuts ab and bc at p and q respectively , then ap : qc is equal to | [
"a ) 1 : 1",
"b ) 3 : 2",
"c ) 4 : 1",
"d ) 3 : 8",
"e ) 2 : 5"
] | d ) 3 : 8 | mathqa |
c0a5a52f-4cb2-463a-8e41-ef2c1689e7a2 | the surface of a cube is 96 sq cm . find its volume ? | [
"a ) 8 cc",
"b ) 9 cc",
"c ) 2 cc",
"d ) 4 cc",
"e ) 64 cc"
] | e ) 64 cc | mathqa |
0bcb6329-8f91-4b19-9f9c-58dc0bfdaf28 | the perimeter of a square is 48 m . find the area of the square . | [
"a ) 161 m Γ’ Β² .",
"b ) 144 m Γ’ Β² .",
"c ) 166 m Γ’ Β² .",
"d ) 169 m Γ’ Β² .",
"e ) 273 m Γ’ Β² ."
] | b ) 144 m Γ’ Β² . | mathqa |
559a333d-6c55-4f72-ad74-3bb988ce39ad | the area of an isosceles trapezoid with sides of length 5 and bases of length 7 and 13 is ? | [
"a ) 40",
"b ) 41",
"c ) 42",
"d ) 43",
"e ) 44"
] | a ) 40 | mathqa |
242cd68a-fed0-4f8b-93ba-e90551cb3295 | in a rectangular axis system , what is the area of a parallelogram with the coordinates : ( 4,4 ) , ( 7,4 ) , ( 5,9 ) , ( 8,9 ) ? | [
"a ) 21 .",
"b ) 28 .",
"c ) 5 .",
"d ) 49 .",
"e ) 52 ."
] | c ) 5 . | mathqa |
fae4ba98-c8aa-4018-8484-7d9ad4af64fb | thin rectangular slab of potato was cut into two pieces for an osmosis lab . one piece is 50 mm greater than the other . if the original uncut slab is 600 mm , what is the length of the other piece of the potato after it is cut . | [
"a ) 550",
"b ) 275",
"c ) 50",
"d ) 300",
"e ) 250"
] | b ) 275 | mathqa |
65a2159d-90d0-411a-97ef-08405729734b | triangle xyz is an isosceles right triangle . if side xy is longer than side yz , and the area of the triangle is 49 , what is the measure of side xy ? | [
"a ) 4",
"b ) 4 β 2",
"c ) 14",
"d ) 8 β 2",
"e ) can not be determined from the information provided"
] | c ) 14 | mathqa |
d6c252fd-3ec1-4e3c-9262-2a54e67f8225 | what is the maximum number of pieces that a circular pizza can be cut into with 6 linear cuts ? | [
"a ) 12",
"b ) 13",
"c ) 16",
"d ) 20",
"e ) 22"
] | e ) 22 | mathqa |
c7f1c915-f6d5-4721-8f9a-d90b369c33bf | 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 ? | [
"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"
] | a ) 22 / 7 x 24 / 35 | mathqa |
3f2ade3a-15cc-477f-8d8c-a2f4d66fe41a | the area of a square field 3136 sq m , if the length of cost of drawing barbed wire 3 m around the field at the rate of rs . 1.50 per meter . two gates of 1 m width each are to be left for entrance . what is the total cost ? | [
"a ) 978",
"b ) 789",
"c ) 999",
"d ) 778",
"e ) 787"
] | c ) 999 | mathqa |
b12a8076-ac48-4ddc-a8f0-4d972da3172f | 12 points lie on a circle . how many cyclic quadrilaterals can be drawn by using these points ? | [
"a ) 334",
"b ) 377",
"c ) 495",
"d ) 766",
"e ) 261"
] | c ) 495 | mathqa |
84415425-c14b-4f0d-b255-5a1d985b2df7 | the radius of the circle is reduced from 5 cm to 4 cm then the % change of area . | [
"a ) 36 %",
"b ) 37 %",
"c ) 35 %",
"d ) 38 %",
"e ) 39 %"
] | a ) 36 % | mathqa |
f5863ce5-632a-47d8-87db-b8355d06c7df | each of the 55 points is placed either inside or on the surface of a perfect sphere . if 60 % 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 ? | [
"a ) 7",
"b ) 11",
"c ) 13",
"d ) 16",
"e ) 38"
] | d ) 16 | mathqa |
2a2b432c-ac5b-48a5-8e31-8faef655c27e | 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 ? | [
"a ) 23",
"b ) 22",
"c ) 21",
"d ) 25",
"e ) 24"
] | b ) 22 | mathqa |
9dbcb3b4-c1c6-4b26-a8df-7ec7265edea6 | the area of a square garden is a square feet and the perimeter is p feet . if a = 2 p + 14.25 , what is the perimeter of the garden , in feet ? | [
"a ) 38",
"b ) 36",
"c ) 40",
"d ) 56",
"e ) 64"
] | a ) 38 | mathqa |
e10445dc-f9f9-40b4-9b1c-bb2e4685e9e2 | a circular wheel radius is 1.75 m . for covering 11 k . m how much time it revolve ? | [
"a ) 10",
"b ) 100",
"c ) 1000",
"d ) 10000",
"e ) 50"
] | c ) 1000 | mathqa |
5f9b85e9-aadc-4500-9578-154473133ff3 | a cube of sides 9 is first painted red and then cut into smaller cubes of side 3 . how many of the smaller cube have painted on exactly 2 sides ? | [
"a ) 30",
"b ) 24",
"c ) 12",
"d ) 8",
"e ) 9"
] | c ) 12 | mathqa |
bdaa6e82-c251-4b03-907a-e075871670bc | the volume of the largest right circular cone that can be cut out of a cube of edge 7 cm is : | [
"a ) 89.8 cm Β³",
"b ) 92.5 cm Β³",
"c ) 132.8 cm Β³",
"d ) 144.5 cm Β³",
"e ) none"
] | a ) 89.8 cm Β³ | mathqa |
2c01c2da-f0f3-4296-9379-da030c3649d2 | in an electric circuit , two resistors with resistances 8 ohms and 9 ohms are connected in parallel . in this case , if r is the combined resistance of these two resistors , then the reciprocal of r is equal to the sum of the reciprocals of two resistors . what is r value ? | [
"a ) 17",
"b ) 45 / 78",
"c ) 72 / 17",
"d ) 17 / 72",
"e ) 72"
] | c ) 72 / 17 | mathqa |
5e84e629-8edc-4256-a69d-9daebda26a9b | a square of side 8 cm has been made to a rectangle by combining it with a rectangle of dimensions of length 8 cm and breadth 4 cm . what is the perimeter of the newly formed rectangle ? | [
"a ) 10",
"b ) 20",
"c ) 40",
"d ) 60",
"e ) 80"
] | c ) 40 | mathqa |
14358562-5155-4c4f-ac6d-bc9441453bb5 | the perimeter of one square is 24 m & that of another is 32 m . perimeter of a square whose area is equal to the sum of the areas of the 2 squares will be | [
"a ) 20 m",
"b ) 24 m",
"c ) 28 m",
"d ) 40 m",
"e ) 43 m"
] | d ) 40 m | mathqa |
720165bc-f7ea-4def-b553-e4b12cdad890 | volume of a right circular cylinder is 6 o l . if radius of cylinder is doubled , then what will be the increase in volume ? | [
"a ) 120 l",
"b ) 180 l",
"c ) 240 l",
"d ) 300 l",
"e ) 360 l"
] | b ) 180 l | mathqa |
8acfda08-e8af-4e83-87b6-cda4d2d0f002 | a 10 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 ? | [
"a ) 1 / 6",
"b ) 1 / 5",
"c ) 3 / 10",
"d ) 1 / 3",
"e ) 4 / 10"
] | e ) 4 / 10 | mathqa |
1cd5a456-4d07-4467-aeb7-3fcd7c76c0c4 | a clock hangs on the wall of a railway station , 71 ft 9 in long and 10 ft 4 in high . those are the dimension of the wall , not the clock ! while waiting for a train we noticed that the hands of the clock were pointing in opposite directions , and were parallel to one of the diagonals of the wall , what was the exact ... | [
"a ) 7 : 15",
"b ) 7 : 5",
"c ) 7 : 25",
"d ) 7 : 45",
"e ) 7 : 55"
] | b ) 7 : 5 | mathqa |
644bc342-85dd-44ab-99ae-b8a380814926 | what will be the cost of building a fence around a rectangular plot with area equal to 289 sq ft , if the price per foot of building the fence is rs . 50 ? | [
"a ) a ) rs . 3944",
"b ) b ) rs . 3948",
"c ) c ) rs . 3519.5",
"d ) d ) rs . 3949",
"e ) e ) rs . 3923"
] | c ) c ) rs . 3519.5 | mathqa |
1da11ae8-0a53-4d70-b4d9-fb8dfbd43510 | in the coordinate plane , a circle centered on point ( - 3 , - 4 ) passes through point ( - 1 , 1 ) . what is the area of the circle ? | [
"a ) 9 Ο",
"b ) 18 Ο",
"c ) 29 Ο",
"d ) 37 Ο",
"e ) 41 Ο"
] | c ) 29 Ο | mathqa |
61a94802-3b28-4a38-ba7e-d032ef94ff74 | a cylinder is 6 cms in diameter and 6 cms in height . if spheres of the same size are made from the material obtained , what is the diameter of each sphere ? | [
"a ) 5 cms",
"b ) 2 cms",
"c ) 3 cms",
"d ) 4 cms",
"e ) 6 cms"
] | c ) 3 cms | mathqa |
c06ecfcb-7bd6-4b5c-a67c-980064445927 | in a triangle abc , point d is on side ab and point e is on side ac , such that bced is a trapezium . de : bc = 3 : 5 . calculate the ratio of the area of triangle ade and the trapezium bced . | [
"a ) 9 / 16",
"b ) 8 / 16",
"c ) 7 / 16",
"d ) 6 / 16",
"e ) 5 / 16"
] | a ) 9 / 16 | mathqa |
a222f7c9-5f38-4d2b-8084-3246bfaf577b | if radius of a circle is diminished by 10 % then its area is diminished by | [
"a ) 22",
"b ) 19",
"c ) 877",
"d ) 26",
"e ) 271"
] | b ) 19 | mathqa |
2e3a65d9-c459-4fbc-a27f-7186f9b3794b | the ratio of the areas of two squares , one having double its diagonal then the other is : | [
"a ) 2 : 1",
"b ) 1 : 2",
"c ) 2 : 3",
"d ) 1 : 4",
"e ) 4 : 1"
] | e ) 4 : 1 | mathqa |
a3f28edd-55e4-4ff7-b030-aa88db51d74d | find the area of the quadrilateral of one of its diagonals is 40 cm and its off sets 9 cm and 6 cm ? | [
"a ) 189 cm 2",
"b ) 300 cm 2",
"c ) 127 cm 2",
"d ) 177 cm 2",
"e ) 187 cm 2"
] | b ) 300 cm 2 | mathqa |
3e6b0171-b67c-48c0-bf04-92fe2cf6ca2c | an entry in an unshaded square is obtained by adding the entries connected to it from the row above ( 11 is one such number ) . write the value of n ? | [
"a ) 10",
"b ) 11",
"c ) 12",
"d ) 9",
"e ) 8"
] | a ) 10 | mathqa |
466b19cc-b7bd-4b48-aedd-03ae2af309af | ratio between length and breath of a rectangle is 25 : 16 . the area of the rectangle is same with a square whose side is 200 . find the breadth and length of the rectangle ? | [
"a ) 150,200",
"b ) 140,300",
"c ) 100,300",
"d ) 160,250",
"e ) 100,200"
] | d ) 160,250 | mathqa |
c4efb72d-9fc6-4a05-9fad-e496cb690f25 | in filling a lot with sand , that is 40 m * 20 m * 2 m the volumes of the sand filled will be ? | [
"a ) 1200 cu . m",
"b ) 2200 cu . m",
"c ) 4800 cu . m",
"d ) 1600 cu . m",
"e ) 4000 cu . m"
] | d ) 1600 cu . m | mathqa |
1b1de080-a605-4921-adcc-88c3e5b39b7b | a and b are two circles . the radius of a is 5 times as large as the radius of b . what is the ratio between the areas of the circles ? | [
"a ) 1 : 8 .",
"b ) 1 : 2 .",
"c ) 1 : 4 .",
"d ) 1 : 25 .",
"e ) 1 : 6 ."
] | d ) 1 : 25 . | mathqa |
a569bc23-6841-4d63-92d0-2f5848072718 | if there is one larger cube with surface area 600 and no . of smaller cubes with surface area 24 . then how many small cubes are required to make a larger cube with surface area of 600 ? | [
"a ) 5",
"b ) 125",
"c ) 4",
"d ) 100",
"e ) 24"
] | b ) 125 | mathqa |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.