id string | question string | choices list | answer_key string | source string |
|---|---|---|---|---|
8805bf1b-89ba-4292-a992-34472b8e9f49 | a circular ground whose radius is 15 metres , has a 1.2 metre - broad garden around it . what is the area of the garden in square metres ? | [
"a ) 118.67",
"b ) 116.67",
"c ) 117.67",
"d ) 120.56",
"e ) 120.57"
] | c ) 117.67 | mathqa |
19f57fb3-beaa-4a6b-96a9-3442725b0d9c | the side of a rhombus is 26 m and length of one of its diagonals is 20 m . the area of the rhombus is ? | [
"a ) 488",
"b ) 429",
"c ) 418",
"d ) 480",
"e ) 410"
] | d ) 480 | mathqa |
54822d22-903b-4eae-bb42-ec44679e38da | john is building a rectangular fence around a garden . the length will be 5 feet shorter than its width . if the total area of the garden is 176 square feet , what is the length of the diagonal ( in feet ) ? | [
"a ) between 18 and 19",
"b ) between 19 and 20",
"c ) between 20 and 21",
"d ) between 21 and 22",
"e ) between 22 and 23"
] | b ) between 19 and 20 | mathqa |
6826a6ca-4afd-4162-b118-61378c55a0e8 | the area of the largest circle that can be drawn inside a rectangle with sides 18 cm by 14 cm is | [
"a ) 237",
"b ) 154",
"c ) 2376",
"d ) 198",
"e ) 171"
] | b ) 154 | mathqa |
dce4afa7-c6cf-487a-892a-8c33103d0db2 | three solid cubes of sides 1 cm , 6 cm and 8 cm are melted to form a new cube . find the surface area of the cube so formed | [
"a ) 486",
"b ) 366",
"c ) 299",
"d ) 278",
"e ) 1888"
] | a ) 486 | mathqa |
032d8558-5636-4f95-8b35-acddac03bc28 | the area of a circle is added to its diameter , and the circumference is then subtracted from this total , the result is 10 . what is the radius of the circle ? | [
"a ) 2 * pi",
"b ) pi",
"c ) 2",
"d ) 4 * pi",
"e ) 4"
] | e ) 4 | mathqa |
e53ed7bc-0a96-4199-9b85-400694638a8b | how many internal diagonals does a octagon ( eight sided polygon ) have ? | [
"a ) 90",
"b ) 85",
"c ) 70",
"d ) 35",
"e ) 20"
] | e ) 20 | mathqa |
18c2616d-8732-43c1-ac28-a1b96b9730a2 | the length of a rectangle is three times of its width . if the length of the diagonal is 8 β 10 then find the perimeter of the rectangle . | [
"a ) 77 cm",
"b ) 88 cm",
"c ) 64 cm",
"d ) 11 cm",
"e ) 18 cm"
] | c ) 64 cm | mathqa |
4e7d6df3-b7cc-4372-b2df-334c8e720c84 | each side of a rectangular field diminished by 40 % . by how much per cent is the area of the field diminished ? | [
"a ) 32",
"b ) 64",
"c ) 25",
"d ) 16",
"e ) none"
] | b ) 64 | mathqa |
a3762b2d-16f6-4af2-a6c5-ee4093a80059 | if a number is subtracted from its square we get 272 . find the number ? | [
"a ) 7",
"b ) 21",
"c ) 19",
"d ) 15",
"e ) 17"
] | e ) 17 | mathqa |
03abbb63-13a3-4a01-9706-57207aa05831 | find the perimeter of a triangle with sides measuring 7 centimeters , 10 centimeters and 15 centimeters . | [
"a ) 10 cm",
"b ) 15 cm",
"c ) 32 cm",
"d ) 35 cm",
"e ) 20 cm"
] | c ) 32 cm | mathqa |
87aa0344-3256-4ad8-b45f-fe5149ad2252 | two sides of a triangle have lengths x and t and meet at a right angle . if the perimeter of the triangle is 4 x , what is the ratio of x to t ? | [
"a ) a ) 2 : 3",
"b ) b ) 3 : 4",
"c ) c ) 4 : 3",
"d ) d ) 3 : 2",
"e ) e ) 2 : 1"
] | b ) b ) 3 : 4 | mathqa |
80c5f3ef-bd74-43d2-ad1b-a79ffbd3bcdd | mr . loyd wants to fence his square shaped land of 150 sqft each side . if a pole is laid every 30 ft how many poles do he need ? | [
"a ) 20",
"b ) 30",
"c ) 40",
"d ) 50",
"e ) 60"
] | b ) 30 | mathqa |
69eb4696-bd8b-4258-9afb-4f6e098a16dd | the area of square abcd above is 22 . the shaded region is the intersection of the square and a circular region centered at c . what is the area of the shaded region ? | [
"a ) 18 β 9 / 4 β Ο",
"b ) 22 β 11 / 2 β Ο",
"c ) 9 + 9 / 4 β Ο",
"d ) 9 + 9 / 2 β Ο",
"e ) 9 / 2 β 9 / 4 β Ο"
] | b ) 22 β 11 / 2 β Ο | mathqa |
f9111d3f-a6e2-4d72-abbe-896905f29e58 | a cube of edge 5 cm is cut into cubes of each edge 1 cm . the ratio of the total surface area of one of the small cubes to that of the large cube is equal to | [
"a ) 1 : 5",
"b ) 1 : 25",
"c ) 1 : 125",
"d ) 1 : 625",
"e ) none"
] | b ) 1 : 25 | mathqa |
7428a4c7-292d-45e3-9888-9e3781ecaf80 | the edges of three iron cubes are 6 cm ; 8 cm ; 10 cm respectively . a new cube was made by melting them . find the edge of the new cube ? | [
"a ) 17",
"b ) 19",
"c ) 16",
"d ) 12",
"e ) 14"
] | d ) 12 | mathqa |
d0b4b6c5-1e30-44ac-9352-fbd82f902718 | if length of a room is three times of its breadth and its area is 12 sq . m . what is perimeter of room ? | [
"a ) 14 m",
"b ) 18 m",
"c ) 24 m",
"d ) 16 m",
"e ) none of the above"
] | d ) 16 m | mathqa |
2886ca88-a62c-4a1d-bd92-c69facf0b572 | a 1.5 by 2 rectangle is inscribed in circle . what is the circumference of the circle ? | [
"a ) 2.5 Ο",
"b ) 3 Ο",
"c ) 3.5 Ο",
"d ) 4 Ο",
"e ) 5.5 Ο"
] | a ) 2.5 Ο | mathqa |
43c3f9b9-79e4-459b-8c66-77673fca9490 | find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 15 cm . | [
"a ) 289 cm 2",
"b ) 285 cm 2",
"c ) 287 cm 2",
"d ) 267 cm 2",
"e ) 207 cm 2"
] | b ) 285 cm 2 | mathqa |
968143fa-f181-452c-a59f-cb61d42694dd | if the perimeter of square region e 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 e | [
"a ) 25 : 16",
"b ) 24 : 25",
"c ) 5 : 6",
"d ) 4 : 5",
"e ) 4 : 9"
] | b ) 24 : 25 | mathqa |
900f5bce-3de7-4747-8f0a-2092dedde9ee | what is the maximum number t of 27 cubic centimetre cubes that can fit in a rectangular box measuring 8 centimetre x 9 centimetre x 12 centimetre ? | [
"a ) 36",
"b ) 32",
"c ) 24",
"d ) 21",
"e ) 15"
] | c ) 24 | mathqa |
1cf14901-bb81-42d5-a003-c2917ea0e308 | the ratio , by volume , of bleach ( b ) to detergent ( d ) to water in a certain solution is 2 : 40 : 100 . the solution will be altered so that the ratio of bleach to detergent is tripled while the ratio of detergent to water is halved . if the altered solution will contain 300 liters of water , how many liters of det... | [
"a ) 60",
"b ) 50",
"c ) 40",
"d ) 80",
"e ) 70"
] | a ) 60 | mathqa |
1f92ba61-c7f3-4a43-848b-c21beacc99d5 | on the xy - coordinate plane , point a lies on the y - axis and point b lies on the x - axis . points a , b , and c form a right triangle with a 90 - degree angle at point c and the triangle has an area of 20 . if ac is parallel to the x - axis , and bc is parallel to the y - axis , which of the following could be the ... | [
"a ) ( 8 , - 3 )",
"b ) ( 4 , 5 )",
"c ) ( - 5 , 7 )",
"d ) ( - 2 , - 20 )",
"e ) ( - 15 , - 3 )"
] | d ) ( - 2 , - 20 ) | mathqa |
64b39aaf-b140-4c94-ab6a-86946bb4a234 | the sum of a number and its square is 1406 . what is the number ? | [
"a ) 1409",
"b ) 1402",
"c ) 1221",
"d ) 1406",
"e ) 8828"
] | d ) 1406 | mathqa |
9b41e3e1-7139-4844-ad14-2b09cdb57610 | if the perimeter and diagonal of a rectangle are 14 and 5 cms respectively , find its area . | [
"a ) 12 cm 2",
"b ) 16 cm 2",
"c ) 20 cm 2",
"d ) 24 cm",
"e ) none of these"
] | a ) 12 cm 2 | mathqa |
e6bce054-b3eb-4aa1-9e2b-41e862387442 | the side of a cube is 12 m , find the lateral surface area ? | [
"a ) 816",
"b ) 516",
"c ) 716",
"d ) 216",
"e ) 916"
] | b ) 516 | mathqa |
7cadf64d-c1c6-415c-81a4-b5fef2752b58 | we have a rectangular metallic piece of paper that covers exactly the area of a cube . the length of the piece of paper is 120 inches and the width is 108 inches . what is the volume of the cube in cubic feet is 1 feet is 12 inches ? | [
"a ) a 125",
"b ) b 120",
"c ) c 70",
"d ) d 40",
"e ) e 10"
] | a ) a 125 | mathqa |
c39781e1-14aa-43af-af3b-b6c12a43ac30 | the volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2 . what is the length of the wire ? | [
"a ) 2 : 5",
"b ) 2 : 9",
"c ) 2 : 2",
"d ) 2 : 9",
"e ) 2 : 1"
] | a ) 2 : 5 | mathqa |
8fba031d-6b22-4e94-802b-3545e6e40c18 | a circular well with a diameter of 2 meters , is dug to a depth of 14 meters . what is the volume of the earth dug out . | [
"a ) 40 m 3",
"b ) 42 m 3",
"c ) 44 m 3",
"d ) 46 m 3",
"e ) none of these"
] | c ) 44 m 3 | mathqa |
fd0f9bed-1e07-4f3c-81fa-6e9ed2f97e29 | unit size cubes are stacked inside a big rectangular box having dimensions corresponding to three consecutive multiples of 5 . choose exact number of cubes that can completely fill the box . | [
"a ) 750",
"b ) 850",
"c ) 950",
"d ) 1050",
"e ) none of the above"
] | a ) 750 | mathqa |
f70c77e7-8ebc-45ba-ad8e-d541c3d7c9b7 | 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 ? | [
"a ) 36",
"b ) 32",
"c ) 24",
"d ) 21",
"e ) 15"
] | c ) 24 | mathqa |
43875406-357d-409f-bcb8-4fe64c5bdf14 | what will be the cost of building a fence around a square plot with area equal to 289 sq ft , if the price per foot of building the fence is rs . 58 ? | [
"a ) rs . 3944",
"b ) rs . 3942",
"c ) rs . 3987",
"d ) rs . 3929",
"e ) rs . 3938"
] | a ) rs . 3944 | mathqa |
a38d2152-094b-47b1-be40-13d1823dca06 | 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 sho... | [
"a ) a ) 160 degree",
"b ) b ) 168 degree",
"c ) c ) 191 degree",
"d ) d ) 72 degree",
"e ) e ) 204 degree"
] | d ) d ) 72 degree | mathqa |
b62a6aac-ab8a-4925-aa5e-49ff9df9aaab | two concentric circles form a ring . the inner and outer circumference of the ring are 352 / 7 m and 528 / 7 m respectively . find the width of the ring . | [
"a ) 2",
"b ) 4",
"c ) 5",
"d ) 6",
"e ) 78"
] | b ) 4 | mathqa |
af066065-7376-49f2-8f23-d427dba39d33 | the diagonal of a square is twice the side of equilateral triangle then the ratio of area of the triangle to the area of square is ? | [
"a ) 3 β 9",
"b ) 3 β 8",
"c ) 3 β 7",
"d ) 3 β 5",
"e ) 3 β 1"
] | b ) 3 β 8 | mathqa |
e576a1dc-b92d-4587-854d-bd5b25cedbf7 | a semicircular cubicle has a radius of 14 . what is the approximate perimeter of the cubicle ? | [
"a ) 55",
"b ) 86",
"c ) 25",
"d ) 72",
"e ) 35"
] | d ) 72 | mathqa |
a33b6437-de0d-4845-8871-90620620a010 | a water tank , having the shape of a rectangular prism of base 100 square centimeters , is being filled at the rate of 1 liter per minute . find the rate at which the height of the water in the water tank increases . express your answer in centimeters per minute . | [
"a ) 30 cm",
"b ) 10 cm",
"c ) 50 cm",
"d ) 90 cm",
"e ) 70 cm"
] | b ) 10 cm | mathqa |
b9c8274b-192e-4e80-9c52-b133fbaa5d59 | a rectangular cube has sides measuring 3 inches long by 2 inches wide by 0.5 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 . | [
"a ) 4",
"b ) 5",
"c ) 6",
"d ) 7",
"e ) 2"
] | e ) 2 | mathqa |
d698a0c2-c480-46ee-804e-c103169dde2c | the base of a triangular field is three times its altitude . if the cost of cultivating the field at rs . 24.68 per hectare be rs . 333.18 , find its base and height . | [
"a ) 100 m",
"b ) 125 m",
"c ) 150 m",
"d ) 278 m",
"e ) 300 m"
] | e ) 300 m | mathqa |
e74cad6f-e91d-4161-959f-fa50cc7cccb2 | a rectangular farm has to be fenced one long side , one short side and the diagonal . if the cost of fencing is rs . 15 per meter . the area of farm is 1200 m 2 and the short side is 30 m long . how much would the job cost ? | [
"a ) 1276",
"b ) 1200",
"c ) 2832",
"d ) 1800",
"e ) 1236"
] | d ) 1800 | mathqa |
d61a337f-722a-42b3-aaea-a9c979807377 | in a circle with a radius of 6 , what is the area of the biggest rectangle that can be cut out of this circle ? | [
"a ) 12",
"b ) 96",
"c ) 50",
"d ) 72",
"e ) 144"
] | d ) 72 | mathqa |
3fee4a72-8d3a-4c67-a655-91d1756db1f1 | the area of a circular field is 17.56 hectares . find the cost of fencing it at the rate of rs . 3 per metre approximately | [
"a ) 4457",
"b ) 4567",
"c ) 4235",
"d ) 4547",
"e ) 4675"
] | a ) 4457 | mathqa |
78b47098-963b-48a8-90da-ca5ba78d1aff | the radius of a circle is increased by 1 % . find how much % does its area increases ? | [
"a ) 2.21 %",
"b ) 2.07 %",
"c ) 2.08 %",
"d ) 2.01 %",
"e ) 2.11 %"
] | d ) 2.01 % | mathqa |
05dfa717-f173-4754-9b5c-c1d4d229f8eb | 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 w , 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 |
072967c0-7123-409e-9eb3-e58cf15acd1f | the length of a rectangular plot is 10 mtr more than its width . the cost of fencing the plot along its perimeter at the rate of rs . 6.5 mtr is rs . 1950 . the perimeter of the plot is ? | [
"a ) 126",
"b ) 156",
"c ) 190",
"d ) 300",
"e ) 260"
] | d ) 300 | mathqa |
dffd9b41-7bb8-42b4-b67d-8270d30962a3 | a circular ground whose diameter is 34 metres , has a 2 metre - broad garden around it . what is the area of the garden in square metres ? | [
"a ) 226.3",
"b ) 226.2",
"c ) 228.2",
"d ) 227",
"e ) 226"
] | a ) 226.3 | mathqa |
e00f0fa5-2f5f-41fe-b8a5-c0d52791a5ca | the sides of a square region , measured to the nearest centimeter , are 7 centimeters long . the least possible value of the actual area of the square region is | [
"a ) 42.25 sq cm",
"b ) 45.25 sq cm",
"c ) 43.25 sq cm",
"d ) 50.25 sq cm",
"e ) 52.25 sq cm"
] | a ) 42.25 sq cm | mathqa |
82bc2c09-7ab2-4650-8659-62a0e92dac7b | frank the fencemaker needs to fence in a rectangular yard . he fences in the entire yard , except for one full side of the yard , which equals 40 feet . the yard has an area of 480 square feet . how many feet offence does frank use ? | [
"a ) 14",
"b ) 47",
"c ) 54",
"d ) 180",
"e ) 64"
] | e ) 64 | mathqa |
75e354d1-902d-4d56-82cc-bd569798c3d1 | if the height of a right cone c is 3 and the diameter of the base of c is 8 , what is the distance from the apex of c to any point on the circumference of the base of c ? | [
"a ) 3 β 2",
"b ) 5",
"c ) 5 β 2",
"d ) β ( 67 )",
"e ) β ( 73 )"
] | b ) 5 | mathqa |
f2b41d78-82ad-4168-a412-385d5f8331ad | perimeter of an equilateral and isosceles is 45 and 40 respectively . at least one of the sides of isosceles is equal to the equilateral . what ' s the base of isosceles triangle ? | [
"a ) 7",
"b ) 8",
"c ) 9",
"d ) 10",
"e ) 11"
] | d ) 10 | mathqa |
b743b248-5d84-431b-a848-0f96304d78d7 | the volume of a cube is 1728 cc . find its surface ? | [
"a ) 864",
"b ) 209",
"c ) 278",
"d ) 276",
"e ) 280"
] | a ) 864 | mathqa |
46f03989-284a-49e3-a662-b6bc1c02e44b | two isosceles triangles have equal vertical angles and their areas are in the ratio 4 : 9 . find the ratio of their corresponding heights . | [
"a ) 4 / 5",
"b ) 5 / 4",
"c ) 3 / 2",
"d ) 5 / 7",
"e ) 2 / 3"
] | e ) 2 / 3 | mathqa |
2bef22f8-fc4c-461c-b1d8-f4bc81b36bdb | anup manages to draw 7 circles of equal radii with their centres on the diagonal of a square such that two extreme circles touch two sides of the square and each middle circle touches two circles on either side . find the ratio of radius of the circles to the side of the square . | [
"a ) 1 : ( 2 + 6 ^ ( 1 / 2 ) )",
"b ) 1 : ( 4 + 7 ^ ( 1 / 3 ) )",
"c ) ( 2 + 7 ^ ( 1 / 2 ) ) : 1",
"d ) ( 2 + 7 ^ ( 1 / 2 ) ) : 2",
"e ) none of these"
] | e ) none of these | mathqa |
d886ccd2-7d3e-466d-918e-2b10e152dd90 | the radius of a semicircular plot is 25 . what is the approximate perimeter of the plot ? | [
"a ) 114",
"b ) 150",
"c ) 129",
"d ) 25",
"e ) 57"
] | c ) 129 | mathqa |
109f0a27-8317-4e8b-ba7e-beaf6555bd62 | the area of the largest circle that can be drawn inside a square of side 70 cm in length is : | [
"a ) 3600",
"b ) 2646",
"c ) 3850",
"d ) 4215",
"e ) 5205"
] | c ) 3850 | mathqa |
772c1835-1030-47f7-b74f-8f6a85038130 | what is the ratio e of the surface area of a cube to the surface area of a rectangular solid identical to the cube in all ways except that its length has been doubled ? | [
"a ) 1 / 4",
"b ) 3 / 8",
"c ) 1 / 2",
"d ) 3 / 5",
"e ) 2"
] | d ) 3 / 5 | mathqa |
1a829054-b284-407d-b23b-97d653241279 | suppose you have three identical prisms with congruent equilateral triangles as the end - polygons . suppose you attach them by the rectangular faces so they are perfectly aligned . there will be some large faces created by two or more co - planar faces of the individual prisms : count each such large face as one . giv... | [
"a ) 4",
"b ) 6",
"c ) 9",
"d ) 10",
"e ) 5"
] | e ) 5 | mathqa |
a83faa84-90a3-47ef-8783-49413d8954d2 | if the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm , a square with the same area as the original rectangle would result . find the perimeter of the original rectangle . | [
"a ) 40 cm",
"b ) 45 cm",
"c ) 50 cm",
"d ) 52 cm",
"e ) 57 cm"
] | c ) 50 cm | mathqa |
045c5100-5826-499d-9981-0d8e74fbc995 | in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 5.5 ) , ( 8 , 0 ) , ( 0 , - 5.5 ) , ( - 8 , 0 ) ? | [
"a ) 56",
"b ) 88",
"c ) 112",
"d ) 116",
"e ) 120"
] | b ) 88 | mathqa |
6b096f50-f7c4-4b00-b2a9-6afb4fc59d95 | the base of a right triangle is 8 and hypotenuse is 10 . its area is ? | [
"a ) 12",
"b ) 80",
"c ) 59",
"d ) 24",
"e ) 25"
] | d ) 24 | mathqa |
377be0b0-3ed0-4d0a-8fce-f72717a6e535 | square a has an area of 81 square centimeters . square b has a perimeter of 32 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 ? | [
"a ) 17 / 64",
"b ) 17 / 81",
"c ) 16 / 25",
"d ) 3 / 5",
"e ) 6 / 25"
] | b ) 17 / 81 | mathqa |
1f3a1555-54ce-4a27-a461-a4c961469e21 | the area of a rectangular plot is 24 times its breadth . if the difference between the length and the breadth is 10 metres , what is its breadth ? | [
"a ) 14 metres",
"b ) 5 metres",
"c ) 7.5 metres",
"d ) data inadequate",
"e ) none of these"
] | a ) 14 metres | mathqa |
ec4184b6-c304-4f5a-9866-d6902362e2f9 | a rectangular grass field is 75 m * 40 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ? | [
"a ) s . 1350",
"b ) s . 1327",
"c ) s . 1200",
"d ) s . 1397",
"e ) s . 1927"
] | c ) s . 1200 | mathqa |
dd2889e0-c15d-4ca1-98fc-a44729fd68eb | two circles are there one with arc area 60 digree equal to 45 digree of another circle find the area of circle 1 : circle 2 ratio | [
"a ) 3 : 4",
"b ) 1 : 4",
"c ) 1 : 2",
"d ) 2 : 3",
"e ) 1 : 3"
] | a ) 3 : 4 | mathqa |
e26755b6-a682-4399-9f6b-0414646f0a21 | a regular 10 sided area is inscribed in a circle . if a and b are adjacent vertices of the pentagon and o is the center of the circle , what is the value of β oab ? | [
"a ) 48 degrees",
"b ) 54 degrees",
"c ) 72 degrees",
"d ) 84 degrees",
"e ) 72 degrees"
] | e ) 72 degrees | mathqa |
a8571216-e10f-4390-92ea-3fdbbc5ec2fb | the cost of painting the whole surface area of a cube at the rate of 13 paise per sq . cm is rs . 343.98 . then the volume of the cube is | [
"a ) 8500 cm 3",
"b ) 9000 cm 3",
"c ) 9250 cm 3",
"d ) 9261 cm 3",
"e ) none"
] | d ) 9261 cm 3 | mathqa |
62aba7ba-336a-493d-ae8f-e0bd32e9849c | what is the measure of the radius of the circle inscribed in a triangle whose sides measure 4 , 11 and 12 units ? | [
"a ) 1.6 units",
"b ) 6 units",
"c ) 3 units",
"d ) 5 units",
"e ) 12 units"
] | a ) 1.6 units | mathqa |
941031a9-a5e7-4a77-b23a-3eafde734208 | a circular grass lawn of 35 metres in radius has a path 7 metres wide running around it on the outside . find the area of path . | [
"a ) 1694 m 2",
"b ) 1700 m 2",
"c ) 1598 m 2",
"d ) 1500 m 2",
"e ) none of thes"
] | a ) 1694 m 2 | mathqa |
4790c1e0-1236-4dff-a758-afc90baa3bc2 | susan made a block with small cubes of 8 cubic cm volume to make a block , 3 small cubes long , 9 small cubes wide and 5 small cubes deep . she realizes that she has used more small cubes than she really needed . she realized that she could have glued a fewer number of cubes together to lock like a block with same dime... | [
"a ) 113",
"b ) 114",
"c ) 115",
"d ) 116",
"e ) 117"
] | b ) 114 | mathqa |
29f51270-59a9-499f-9543-e03ea5ec2976 | which is the smallest no which divides 2880 and gives a perfect square ? | [
"a ) 4",
"b ) 9",
"c ) 3",
"d ) 5",
"e ) 7"
] | d ) 5 | mathqa |
770b18d5-7c96-4f90-aa4d-49f03f557c1f | a rectangle a has an area of 30 square centimeters . square b has a perimeter of 16 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 ? | [
"a ) 9 / 30",
"b ) 14 / 30",
"c ) 4 / 9",
"d ) 3 / 5",
"e ) 6 / 25"
] | b ) 14 / 30 | mathqa |
7d508d3f-1c97-4223-8094-ace3681fa09e | the diagonal of a square is 40 m . the area of the square is : | [
"a ) 600",
"b ) 900",
"c ) 800",
"d ) 500",
"e ) 400"
] | c ) 800 | mathqa |
2f5d6f57-e836-43cc-b90b-ac64d11f58c7 | the length of a rectangle is five times of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 16 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 11 units ? | [
"a ) 180 sq . units",
"b ) 11 sq . units",
"c ) 110 sq . units",
"d ) 140 sq . units",
"e ) 220 sq . units"
] | e ) 220 sq . units | mathqa |
f3bbe177-1195-4f24-a6ce-dc22b022cae5 | a wire can be bent in the form of a circle of radius 56 cm . if it is bent in the form of a square , then its area will be ? | [
"a ) 7744",
"b ) 8844",
"c ) 5544",
"d ) 4444",
"e ) 3444"
] | a ) 7744 | mathqa |
6132039f-4a84-4c2e-a388-7f07b28a8aa1 | a rectangular courtyard , the sides of which are in the ratio of 4 : 3 , cost rs . 600 for paving at 50 p per m 2 ; find the length of the diagonal of the courtyard ? | [
"a ) 17 m",
"b ) 45 m",
"c ) 54 m",
"d ) 77 m",
"e ) 34 m"
] | b ) 45 m | mathqa |
c89bc941-a0ed-4489-9297-2bfe33b382fd | two vessels having volumes in the ratio 3 : 5 are filled with water and milk solutions . the ratio of milk and water in the two vessels are 1 : 2 and 3 : 2 respectively . if the contents of both the vessel are empties into a larger vessel , find the ratio of milk and water in the larger vessel . | [
"a ) 99 : 61",
"b ) 1 : 1",
"c ) 61 : 160",
"d ) 61 : 99",
"e ) 99 : 160"
] | b ) 1 : 1 | mathqa |
993b0343-ad0e-4711-a8f8-307a542d3f33 | four concentric circles r given . the radius of 1 st circle is x . next is 2 x , then 3 x and 4 x . given that area b / w 2 nd and 1 st is a and 4 th and 3 rd circles being b . find ratio of a to b | [
"a ) 2 : 7",
"b ) 1 : 7",
"c ) 3 : 5",
"d ) 3 : 7",
"e ) 3 : 4"
] | d ) 3 : 7 | mathqa |
8c55bd8c-b224-4ebf-8fa8-01cbe0f00304 | a rope can make 70 rounds of the circumference of a cylinder whose radius of the base is 14 cm . how many times can it go round a cylinder having radius 20 cm ? | [
"a ) 49 rounds",
"b ) 42 rounds",
"c ) 54 rounds",
"d ) 52 rounds",
"e ) none of these"
] | a ) 49 rounds | mathqa |
f2dee045-1d05-4820-a948-5a67a479681c | the circumferences of two circles are 264 meters and 352 meters . find the difference between the areas of the larger and the smaller circles ? | [
"a ) 2898 sq m",
"b ) 1788 sq m",
"c ) 4312 sq m",
"d ) 7656 sq m",
"e ) 1786 sq m"
] | c ) 4312 sq m | mathqa |
f8dbb5ca-ce4f-49a4-9fb7-21dce948009f | if one length of a square is tripled , and the original parameter is 4 y . what is the new length of one of the sides ? | [
"a ) 12 y / 3",
"b ) 2 y / 2",
"c ) 6 y / 3",
"d ) 12 y / 4",
"e ) 4 y / 3"
] | d ) 12 y / 4 | mathqa |
d785627c-3d78-4103-b6a4-20f027c502ff | 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 10 units ? | [
"a ) 140 sq . units",
"b ) 158 sq . units",
"c ) 187 sq . units",
"d ) 607 sq . units",
"e ) 815 sq . units"
] | a ) 140 sq . units | mathqa |
2fd1b7cc-7597-4480-ba89-5aaab0be85eb | area of square with side x is equal to the area of a triangle with base x . the altitude of the triangle is | [
"a ) x / 2",
"b ) x",
"c ) 2 x",
"d ) 4 x",
"e ) 3 x"
] | c ) 2 x | mathqa |
f892d281-7947-452c-8b65-8e6522e581f7 | a plot abcd is as shown in figure , where af = 30 m , ce = 40 m , ed = 50 m , ae = 120 m . find the area of the plot abcd ? | [
"a ) 7207",
"b ) 7206",
"c ) 7203",
"d ) 7200",
"e ) 7201"
] | d ) 7200 | mathqa |
18e82c0e-d606-4eb4-a5a6-8d6bce03ab8f | a rectangular garden is 12 m by 5 m , what is its area ? | [
"a ) 12 square meters",
"b ) 5 square meters",
"c ) 44 square meters",
"d ) 60 square meters",
"e ) 22 square meters"
] | d ) 60 square meters | mathqa |
498b9bc8-6985-4d19-84d5-3937ace9618c | if radius of a circle is reduced by 10 % , then how much % of its area will be reduced ? | [
"a ) 10 %",
"b ) 19 %",
"c ) 20 %",
"d ) 36 %",
"e ) 30 %"
] | b ) 19 % | mathqa |
a377d49c-3294-4680-a7c2-eca34acbd4fc | the area of a square field is a square feet and the perimeter is p feet . if 6 a = 6 ( 2 p + 9 ) , what is the perimeter of the field , in feet ? ( here a = a ^ 2 ) | [
"a ) 28",
"b ) 36",
"c ) 40",
"d ) 56",
"e ) 84"
] | b ) 36 | mathqa |
6e874d1c-242c-4c9b-abbe-9e0314f4ff72 | 15 ants can move 600 sugar cubes of 10 grams each to their home in 5 hours . then how many sugar cubes of 5 grams each , will 20 ants move in 3 hours ? | [
"a ) 360",
"b ) 480",
"c ) 720",
"d ) 960",
"e ) 1000"
] | d ) 960 | mathqa |
148b23a5-a961-4bef-924c-4ddafdd12fae | the area of rhombus is 150 cm square . the length of one of the its diagonals is 10 cm . the length of the other diagonal is : | [
"a ) 15 cm",
"b ) 20 cm",
"c ) 25 cm",
"d ) 30 cm",
"e ) none of these"
] | d ) 30 cm | mathqa |
f2a31b1f-916d-4146-b50c-11c0c90eec9e | if the radius of a circle decreased by 50 % its area is decreased by : | [
"a ) 75",
"b ) 79",
"c ) 72",
"d ) 70",
"e ) 80"
] | a ) 75 | mathqa |
76b08af7-daae-47a3-9f79-5a2c071d8d6a | an equilateral triangle and three squares are combined as shown above , forming a shape of area 48 + 4 β 3 . what is the perimeter of the shape formed by the triangle and squares ? | [
"a ) 18",
"b ) 27",
"c ) 36",
"d ) 48",
"e ) 64"
] | c ) 36 | mathqa |
9520495b-b8fc-428b-9917-4e3905e1edbb | an error 2 % in excess ismade while measuring the side ofa square . the % of error in the calculated area of the square is ? | [
"a ) 4.00 %",
"b ) 4.04 %",
"c ) 4.16 %",
"d ) 4.30 %",
"e ) 5 %"
] | b ) 4.04 % | mathqa |
2e847978-d587-40b5-91e7-299402daecdc | difference of two parallel sides of atrapezium is 4 cm . perpendicular distance between them is 10 cm . if the area of the trapezium is 250 cm ^ 2 . find the lengths of the parallel side ? | [
"a ) 20 cm and 21 cm",
"b ) 25 cm and 23 cm",
"c ) 27 cm and 23 cm",
"d ) 30 cm and 34 cm",
"e ) 28 cm and 36 cm"
] | c ) 27 cm and 23 cm | mathqa |
c038e0cb-03dd-44dd-abc0-cdf1ccd96d12 | a cube has a volume of 64 cubic feet . if a similar cube is twice as long , twice as wide , and twice as high , then the volume , in cubic feet of such cube is ? | [
"a ) 24",
"b ) 48",
"c ) 64",
"d ) 80",
"e ) 512"
] | e ) 512 | mathqa |
fd24aba9-34ab-4dc4-8e6c-1bfb4dbc5297 | a rectangular tank needs to be coated with insulation . the tank has dimensions of 3 feet , 6 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 ? | [
"a ) $ 980",
"b ) $ 1060",
"c ) $ 1220",
"d ) $ 1440",
"e ) $ 1650"
] | d ) $ 1440 | mathqa |
0a5e24e9-4e0a-47f8-b30c-d2bbf415995d | 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 ? | [
"a ) s . 4529",
"b ) s . 4586",
"c ) s . 7248",
"d ) s . 4530",
"e ) s . 4528"
] | c ) s . 7248 | mathqa |
a281d9e1-348e-426f-af1c-40ed2deab0c0 | there is a rectangular prism made of 1 in cubes that has been covered in tin foil . there are exactly 128 cubes that are not touching any tin foil on any of their sides . if the width of the figure created by these 128 cubes is twice the length and twice the height , what is the measure e in inches of the width of the ... | [
"a ) 4",
"b ) 6",
"c ) 8",
"d ) 9",
"e ) 10"
] | e ) 10 | mathqa |
c9f690cd-2c3b-445a-b905-9651ab30ca03 | volume of a hemisphere is 19404 cu . cm . its radius is : | [
"a ) 19 cm",
"b ) 20 cm",
"c ) 21 cm",
"d ) 30 cm",
"e ) none"
] | c ) 21 cm | mathqa |
2630f958-5ab3-4426-99f7-dd05e8fbe3ea | the area of a rectangle is 63 sq m . the width is two meters shorter than the length . what is the width ? | [
"a ) 9",
"b ) 7",
"c ) - 9",
"d ) 11",
"e ) 6"
] | b ) 7 | mathqa |
d824a8a3-74cc-4819-aed2-e171daa701aa | a rectangular circuit board is designed to have a width of w inches , a length of l inches , a perimeter of p inches , and an area of c square inches . which of the following equations must be true ? | [
"a ) 2 w ^ 2 + pw + 2 c = 0",
"b ) 2 w ^ 2 β pw + 2 c = 0",
"c ) 2 w ^ 2 β pw β 2 c = 0",
"d ) w ^ 2 + pw + c = 0",
"e ) w ^ 2 β pw + 2 c = 0"
] | b ) 2 w ^ 2 β pw + 2 c = 0 | mathqa |
30e4db78-a7e5-40c8-b2e6-9d117d81bf66 | a circular logo is enlarged to fit the lid of a jar . the new diameter is 60 per cent larger than the original . by what percentage has the area of the logo increased ? | [
"a ) 50",
"b ) 80",
"c ) 100",
"d ) 143.36",
"e ) 250"
] | d ) 143.36 | mathqa |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.