id string | question string | choices list | answer_key string | source string |
|---|---|---|---|---|
2b0a518c-cf81-4b8a-abe3-06d0d2d63993 | Q. How many 6-digit even numbers less than 3,000,000 can be formed using the following digits: 1, 2, 2, 3, 5, 5? | [
"A)180",
"B)240",
"C)210",
"D)270",
"E)300"
] | A)180 | aqua_rat |
43c8b8c7-58eb-4632-b7b6-f94f001a05e5 | In year Y imported machine tools accounted for 60 percent of total machine-tools sales in the United States, and Japanese imports accounted for 30 percent of the sales of imported machine tools. If the total sales of machine tools imported from Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars? | [
"A)55x/9",
"B)50x/9",
"C)60x/9",
"D)65x/9",
"E)75x/9"
] | B)50x/9 | aqua_rat |
fdd4de5f-355b-4dcf-acdd-982ad4403063 | 30% of a number is more than 60% of 150 by 120. Find the number? | [
"A)770",
"B)712",
"C)720",
"D)740",
"E)700"
] | E)700 | aqua_rat |
43de8117-5637-4678-8e6d-1726f38e67a6 | 5,9,17,29,49,__ | [
"A)79",
"B)80",
"C)81",
"D)82",
"E)83"
] | D)82 | aqua_rat |
5a287eb3-8673-44bb-8996-feaf2f1ada84 | If X and Y are positive integers such that (3X + 7Y) is a multiple of 11, then which of the following will be divisible by 11? | [
"A)4X + 6Y",
"B)X + Y + 4",
"C)9X + 4Y",
"D)4X - 9Y",
"E)9X - 4Y"
] | D)4X - 9Y | aqua_rat |
04ee338e-6593-40f3-a8f7-49916b36c1c2 | A man mixes two types of rice (X and Y) and sells the mixture at the rate of Rs. 17 per kg. Find his profit percentage.
I. The rate of X is Rs. 20 per kg.
II. The rate of Y is Rs. 13 per kg. | [
"A)I alone sufficient while II alone not sufficient to answer",
"B)II alone sufficient while I alone not sufficient to answer",
"C)Either I or II alone sufficient to answer",
"D)Both I and II are not sufficient to answer",
"E)Both I and II are necessary to answer"
] | D)Both I and II are not sufficient to answer | aqua_rat |
e1fdd9cd-a8f0-4b49-98f9-4b5886353dce | What percentage of numbers from 1 to 70 have squares that end in the digit 1? | [
"A)1",
"B)14",
"C)20",
"D)21",
"E)22"
] | C)20 | aqua_rat |
95efdb2c-25f7-4c1b-b49c-d2cca8b1cd3a | A woman invested $1,000, part at 5% and the rest at 6%. Her total investment with interest at the end of the year was $1,056. How much did she invest at 5%? | [
"A)$500",
"B)$400",
"C)$700",
"D)$900",
"E)$950"
] | B)$400 | aqua_rat |
33aa7955-2f68-45c0-b5e9-ebb746d423fe | There are 100 apples in a bag of which 98% are green and the rest red. How many green apples do you need
to remove so that only 96% of the apples are green? | [
"A)40",
"B)8",
"C)15",
"D)25",
"E)50"
] | E)50 | aqua_rat |
f7148dc3-1fa3-4e3c-b623-2edd200f1fb4 | A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is? | [
"A)288",
"B)660",
"C)500",
"D)267",
"E)298"
] | C)500 | aqua_rat |
88146366-6cae-4d92-85e4-27f943d2567c | Two cars, Car1 and Car2 move towards each other from Z and Y respectively with respective speeds of 20 m/s and 15 m/s. After meeting each other Car1 reaches Y in 10 seconds. In how many seconds does Car 2 reach Z starting from Y? | [
"A)15.5 sec",
"B)8.4 sec",
"C)33.6 sec",
"D)31.11 sec",
"E)16.8 sec"
] | D)31.11 sec | aqua_rat |
6d0d37ba-5ba2-43b5-8b95-65898a0478ee | A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is -. | [
"A)7/18",
"B)7/19",
"C)7/11",
"D)7/12",
"E)7/15"
] | E)7/15 | aqua_rat |
b5a7babb-46c5-4fa8-8c58-584f988e9688 | A box contains SEVEN bulbs out of which 3 are defective. If TWO bulbs are chosen at random, find the probability that atleast one bulb is good | [
"A)5/6",
"B)6/7",
"C)7/8",
"D)8/9",
"E)9/8"
] | B)6/7 | aqua_rat |
3090ea0e-3647-4d82-b2b2-56c4d1d65920 | The sum of the ages of 4 children born at the intervals of 1 years each is 12 years. what is the age of the youngest child ? | [
"A)2.5",
"B)1.5",
"C)1",
"D)3.5",
"E)4.5"
] | B)1.5 | aqua_rat |
284fc395-aed7-45a6-99ed-a7d9409204ca | In a group of 6 boys&4 girls a Committee of 4 persons is to be formed. In how many different ways can it be done so that the committee has at least 1girl? | [
"A)187",
"B)190",
"C)192",
"D)195",
"E)213"
] | D)195 | aqua_rat |
8741dc01-4a38-4abc-bbe1-277a1d9d1c87 | If (7)(x^2) has four different prime factors, at most how many different prime factors does x have? | [
"A)1",
"B)2",
"C)3",
"D)4",
"E)5"
] | D)4 | aqua_rat |
1322f694-89c4-4032-8aa2-1765e8aa4985 | How many integers between 324,700 and 436,600 have tens digit 1 and units digit 3? | [
"A)327",
"B)645",
"C)987",
"D)1119",
"E)1339"
] | D)1119 | aqua_rat |
c46144f2-5de6-4543-ad20-1abb0dbc7252 | If the area of circle O is 16π, what is the length of an arc on the circle formed by a central angle measuring 15 degrees? | [
"A)π/3",
"B)3π/2",
"C)2π",
"D)5π/2",
"E)8π"
] | A)π/3 | aqua_rat |
ea59d466-b6da-4bbd-b41a-5d567abf32dc | Tea worth Rs.126 per kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs.143 per kg, the price of the third variety per kg will be | [
"A)Rs.165.50",
"B)Rs.1700",
"C)Rs. 175.50",
"D)Rs. 180",
"E)None"
] | A)Rs.165.50 | aqua_rat |
4d6fdd28-8b21-47d6-8e78-bcad4be10226 | Set L is composed of nine numbers, labeled L1 through L9. Set M is also composed of nine numbers, labeled M1 through M9. Set M is defined as follows: M1 = 1 + L1; M2 = 2 + L2; and so on, including M9 = 9 + L9. How much larger is the sum of set M's mean and range than the sum of set L's mean and range? | [
"A)3",
"B)4",
"C)cannot be determined",
"D)6",
"E)8"
] | C)cannot be determined | aqua_rat |
69e56b2c-c939-4c94-99a4-936540e72d75 | If x^3 > y^2 > z, which of the statements could be true?
I. x < y = z
II. x = z < y
III. y < x < z | [
"A)I only",
"B)III only",
"C)I and II only",
"D)II and III only",
"E)I, II and III"
] | B)III only | aqua_rat |
c59e6ce5-3b23-40be-81a2-9f2f81973f2b | 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? | [
"A)$1520",
"B)$1640",
"C)$1780",
"D)$1850",
"E)$1960"
] | A)$1520 | aqua_rat |
b76b483a-4e05-428c-8d8a-f99b6c653581 | A bag contains nine yellow balls, three white balls and four red balls. In how many ways can two balls be drawn from the bag? | [
"A)76 ways",
"B)65 ways",
"C)54 ways",
"D)28 ways",
"E)30 ways"
] | E)30 ways | aqua_rat |
bc3e4ba6-2d05-493d-9350-0f3e8e144925 | A person climbs up to a pole of 88 m high. In every min he climbs 12 m but slips down 8 m...how much time will he take to reach d top? | [
"A)20th minute",
"B)21th minute",
"C)22th minute",
"D)24th minute",
"E)25th minute"
] | A)20th minute | aqua_rat |
bd8a2eb8-16e9-4773-8aa4-c2617561b449 | If z is a multiple of 7899, what is the remainder when z^2 is divided by 9? | [
"A)0",
"B)2",
"C)3",
"D)6",
"E)7"
] | A)0 | aqua_rat |
4495773f-f058-4a56-8381-7a8ec2e2ba14 | A bag contains 3 red, 4 green and 4 white balls. Three balls are picked up one by one without replacement. What is the probability that there will be at least one red ball? | [
"A)6/11",
"B)27/55",
"C)31/55",
"D)91/165",
"E)109/165"
] | E)109/165 | aqua_rat |
b836c3e4-81b8-43bc-afda-2b6dfe0d0132 | In Rwanda, the chance for rain on any given day is 1/2. What is the probability that it rains on 4 out of 7 consecutive days in Rwanda? | [
"A)4/7",
"B)3/7",
"C)35/128",
"D)4/28",
"E)28/135"
] | C)35/128 | aqua_rat |
56fa13c2-b304-4b21-a9a5-358d12d91c22 | In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 83 more candidates got selected than A. What was the number of candidates appeared from each State? | [
"A)7000",
"B)8300",
"C)6000",
"D)5000",
"E)4000"
] | B)8300 | aqua_rat |
f14d965a-05d2-48de-aa64-6a56b8230045 | What is the Mode of the following data set R- {1,2,7,9,6,6,7,7} | [
"A)1",
"B)2",
"C)7",
"D)6",
"E)9"
] | C)7 | aqua_rat |
48e5a47a-9e75-473f-9e21-6b0356f9abd6 | 624 people are protesting outside of the White House. If they are standing in a rectangle in which the rows are no less than 6 people and no more than 104, how many different combinations of rectangular shapes are possible? | [
"A)6",
"B)7",
"C)8",
"D)9",
"E)10"
] | C)8 | aqua_rat |
f8c420f2-0f81-4b88-8805-1ac9690d4f73 | The average age of a group of 10 students was 25. The average age increased by 2 years when two new students joined the group. What is the average age of the two new students who joined the group? | [
"A)37 years",
"B)30 years",
"C)32 years",
"D)44 years",
"E)None of these"
] | A)37 years | aqua_rat |
94a83305-7bf6-4b5e-9e62-cbb885561e42 | 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. If a large bottle of the sport formulation contains 4 ounces of corn syrup, how many ounces of water does it contain? | [
"A)45",
"B)50",
"C)55",
"D)60",
"E)63"
] | D)60 | aqua_rat |
e4744fa5-f1b0-4e35-87ed-9ddff589c905 | A circular rim 14 inches in diameter rotates the same number of inches per second as a circular rim 42 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the larger rim makes in terms of x ? | [
"A)48pi/x",
"B)75x",
"C)48x",
"D)24x",
"E)20x"
] | E)20x | aqua_rat |
7ea15683-4863-4eda-af03-5b14e3e51009 | Find the least number which when divided by 34 and 5 leaves a remainder of 4 in each case. | [
"A)170",
"B)172",
"C)174",
"D)176",
"E)178"
] | C)174 | aqua_rat |
a3c6cafc-f82b-4161-90d0-4857ec51b867 | A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man? | [
"A)5.79",
"B)5.77",
"C)5.76",
"D)5.72",
"E)5.71"
] | C)5.76 | aqua_rat |
623f6639-51f8-4c52-b31e-167571f59b3e | At a certain resort, each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants. The 3 restaurants are the family buffet, the dining room, and the snack bar. Exactly 19 employees are trained to work in the family buffet, 18 are trained to work in the dining room, and 12 are trained to work in the snack bar. If 4 employees are trained to work in exactly 2 restaurants, how many employees are trained to work in all 3 restaurants? | [
"A)2",
"B)3",
"C)4",
"D)5",
"E)6"
] | B)3 | aqua_rat |
1338596f-ef25-482c-9c00-437c8aaf7ec4 | In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green? | [
"A)3/4",
"B)1/4",
"C)1/3",
"D)7/19",
"E)1/7"
] | C)1/3 | aqua_rat |
029b0155-fcf5-4668-a6e3-ac959a7584a4 | In how many ways 5 boys and 5 girls can be seated in a row so that boys and girls are alternate? | [
"A)28400",
"B)28500",
"C)28600",
"D)28700",
"E)28800"
] | E)28800 | aqua_rat |
eaeccde7-ca9c-4d89-b8d2-0cd4f3dfa0ba | For how many integers k is (k^2)+3 = 3+(2^k) ? | [
"A)None",
"B)1",
"C)2",
"D)3",
"E)4"
] | C)2 | aqua_rat |
cf794027-77ca-4986-b377-a1ccbeffcf33 | There are two pipes which are functioning simultaneouly to fill a tank in 12 hours, if one pipe fills the tank 10 hours faster than other then how many hours second pipe will take to fill the tank ? | [
"A)30 hours",
"B)35 hours",
"C)40 hours",
"D)42 hours",
"E)41 hours"
] | A)30 hours | aqua_rat |
edafb14f-606c-45be-b72d-c1da1a596d04 | A train of length 180 metres takes 54 seconds to cross a tunnel of length 270 metres. What is the speed of the train in km/hr? | [
"A)50 km/hr.",
"B)20 km/hr.",
"C)30 km/hr.",
"D)40 km/hr.",
"E)None"
] | C)30 km/hr. | aqua_rat |
2e2a6a37-bb09-45b7-9849-61281dace0e1 | If 7 ministers are to be seated at a round table conference, then how many different ways can they be seated? | [
"A)24",
"B)60",
"C)720",
"D)520",
"E)180"
] | C)720 | aqua_rat |
5fb4bc15-8d3b-445a-8f21-a8fb0bd1360e | The number which exceeds 12% of it by 52.8 is: | [
"A)60",
"B)77",
"C)269",
"D)26",
"E)91"
] | A)60 | aqua_rat |
1bf81445-46bb-4e1f-ad9c-69011a8a9249 | How many prime numbers are between 15/7 and 131/6? | [
"A)3",
"B)4",
"C)5",
"D)6",
"E)7"
] | D)6 | aqua_rat |
9a253a4f-6099-4f2b-b0a0-f9c4f6765542 | A boy has Rs. 320 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ? | [
"A)60",
"B)110",
"C)140",
"D)130",
"E)120"
] | A)60 | aqua_rat |
a8de2fe7-5294-4c9e-8e78-327148a9b302 | Find the odd man out. 1, 3, 10, 13, 19, 29 | [
"A)12",
"B)9",
"C)1",
"D)3",
"E)10"
] | E)10 | aqua_rat |
1a201094-f081-4cb4-a8df-4080698aef4e | What is the probability that their sum of two numbers, randomly selected from the set {3,6,9,12,15,18} will be greater than 9? | [
"A)7/6",
"B)7/9",
"C)7/8",
"D)7/10",
"E)6/7"
] | A)7/6 | aqua_rat |
f65c0c94-0648-4772-a218-ecc2120e74d1 | Two letters from the word KHANTKAR are selected at random. What is the probability that at least one of the selected letters is a consonant? | [
"A)25/28",
"B)27/28",
"C)30/28",
"D)40/28",
"E)50/28"
] | B)27/28 | aqua_rat |
685451e6-17d0-4a8c-b029-e31bbcdac756 | Working alone, Jim finishes cleaning half the house in a third of the time it takes Nick to clean the entire house alone. Jim alone cleans the entire house in 6 hours. How many hours will it take Nick and Jim to clean the entire house if they work together? | [
"A)1.5",
"B)2",
"C)2.4",
"D)3",
"E)3.6"
] | E)3.6 | aqua_rat |
1ec22214-0653-4608-83de-2e67920e872d | In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital? | [
"A)11758",
"B)11759",
"C)11755",
"D)11750",
"E)11751"
] | D)11750 | aqua_rat |
25a62883-f7c3-4884-96c9-3a012272aee6 | Choose the missing terms out of the given alternatives.
CMW, HRB, ?, RBL, WGQ, BLV | [
"A)MWS",
"B)MWG",
"C)SJE",
"D)HHW",
"E)YSH"
] | B)MWG | aqua_rat |
01a99d32-0a1f-4451-b92c-6f1d5c6a170a | Which of the following will divide evenly into 407,406,520? | [
"A)11",
"B)21",
"C)4",
"D)31",
"E)41"
] | C)4 | aqua_rat |
05345e1b-b88d-471d-8809-de4bd83d2dea | Two trains are running in opposite directions in the same speed. The length of each train is 120 meter. If they cross each other in 12 seconds, the speed of each train (in km/hr) is | [
"A)30 Km/hr",
"B)36 Km/hr",
"C)80 Km/hr",
"D)90 Km/hr",
"E)None of these"
] | B)36 Km/hr | aqua_rat |
9592bbc6-8f3c-4f49-8692-27f4ecddb133 | A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is? | [
"A)128",
"B)177",
"C)199",
"D)178",
"E)150"
] | E)150 | aqua_rat |
c3a9ec6c-5218-4bf9-a70b-9090462c929d | Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week? | [
"A)Rs.200",
"B)Rs.250",
"C)Rs.300",
"D)Rs.350",
"E)Rs.370"
] | B)Rs.250 | aqua_rat |
033df7eb-ae72-48cc-a7d9-f75832ff5f8d | The area of playground is 5700 sq. meters. What will be the cost of covering it with grass sheet 1cm deep, if cost of grass sheet is $2.80 per cubic meter. | [
"A)a) $144",
"B)b) $150.50",
"C)c) $159.6",
"D)d) $158.60",
"E)e) $160.70"
] | C)c) $159.6 | aqua_rat |
de4e3054-de4e-4ad1-bd0b-5c55068eec8c | A man has Rs. 400 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ? | [
"A)45",
"B)60",
"C)75",
"D)90",
"E)105"
] | C)75 | aqua_rat |
bdc1663d-57f3-41da-bb89-fd6bd8f8246b | An design manager has 10patterns of chairs & 9patterns of tables. In how many ways can he make a pair of table & chair? | [
"A)20",
"B)40",
"C)80",
"D)90",
"E)100"
] | D)90 | aqua_rat |
16928006-fcbd-4086-a5bc-ac575477163d | The perimeter of a square is 52 m. Find the area of the square. | [
"A)161 m².",
"B)164 m².",
"C)166 m².",
"D)169 m².",
"E)273 m²."
] | D)169 m². | aqua_rat |
d1080179-4799-4cbb-9606-d6958a47eeeb | Find the distance covered by a man walking for 36min at a speed of 10km/hr? | [
"A)1km",
"B)3km",
"C)6 km",
"D)5km",
"E)6km"
] | C)6 km | aqua_rat |
87a7a669-2c65-4ea8-9697-11613bba077e | A train 2500 m long can cross an electric pole in 100 sec and then find the speed of the train? | [
"A)90",
"B)60",
"C)120",
"D)180",
"E)360"
] | A)90 | aqua_rat |
923c1a87-dcb8-46c3-9e64-6c843100cfeb | The list price of an article is Rs.70. A customer pays Rs.59.22 for it. He was given two successive discounts, one of them being 10%. The other discount is? | [
"A)8%",
"B)7%",
"C)10%",
"D)12%",
"E)6%"
] | E)6% | aqua_rat |
8d326bdc-9b46-4e20-bc70-cf092f5b365b | Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 162. If the ratio of his marks in English and Maths is 3:5, find his marks in Science? | [
"A)18",
"B)68",
"C)67",
"D)55",
"E)56"
] | A)18 | aqua_rat |
a2c66ebd-403c-405f-8b46-dfbd683ca3b9 | Kail purchased n items from a catalog for $10 each. Postage and handling charges consisted of $4 for the first item and $1 for each additional item. Which of the following gives the total dollar amount for Kim’s purchase, including postage and handling, in terms of n ? | [
"A)11n + 2",
"B)11n + 4",
"C)11n + 3",
"D)9n + 3",
"E)9n + 4"
] | C)11n + 3 | aqua_rat |
3e45a953-3872-4534-9dde-516a31f9d5fd | In a school of 850 boys, 46% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities? | [
"A)A)136",
"B)B)627",
"C)C)153",
"D)D)721",
"E)E)159"
] | A)A)136 | aqua_rat |
139dcd51-5f37-45fa-b160-02095123f1ee | A tank can be filled by pipe A in 5 hours and by pipe B in 8 hours, each pump working on its own. When the tank is full and a drainage hole is open, the water is drained in 20 hours. If initially the tank was empty and someone started the two pumps together but left the drainage hole open, how long does it take for the tank to be filled? | [
"A)2.6 hours",
"B)3.6 hours",
"C)4.6 hours",
"D)5.6 hours",
"E)None of these"
] | B)3.6 hours | aqua_rat |
ad6e28e4-4bf3-4ac1-9511-85737bc9e5ab | A certain company’s profit in 1996 was 15 percent greater than its profit in 1995, and its profit in 1997 was 20 percent greater than its profit in 1996. The company’s profit in 1997 was what percent greater than its profit in 1995? | [
"A)5%",
"B)18%",
"C)33%",
"D)35%",
"E)38%"
] | E)38% | aqua_rat |
75223534-e736-4362-97f8-a9cf4cbbf935 | What is the value of x?
Data 1: x - 2y = 7
Data 2: 4x – 28 = 8y | [
"A)89",
"B)10",
"C)12",
"D)15",
"E)no solution exists"
] | E)no solution exists | aqua_rat |
3caa5bf9-067b-418f-8164-7acde9ec934b | The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is | [
"A)4/5",
"B)7/11",
"C)7/13",
"D)7/15",
"E)8/11"
] | A)4/5 | aqua_rat |
f2c00700-525d-4624-9e01-b043d69fb2f9 | A box contains 8 apples, 7 of which are red. An apple is drawn from the box and its color is noted before it is eaten. This is done a total of n times, and the probability that a red apple is drawn each time is less than 0.5. What is the smallest possible value of n? | [
"A)3",
"B)4",
"C)5",
"D)6",
"E)7"
] | C)5 | aqua_rat |
93825791-ace4-4ab7-9ec7-a8555aefabe8 | When not moving on the sidewalk, Maya can walk the length of the sidewalk in 7 minutes. If she stands on the sidewalk as it moves, she can travel the length in 4 minutes. If Maya walks on the sidewalk as it moves, how many minutes will it take her to travel the same distance? Assume she always walks at the same speed, and express your answer as a decimal to the nearest tenth. | [
"A)2.9",
"B)2.5",
"C)2.7",
"D)2.1",
"E)2.2"
] | B)2.5 | aqua_rat |
71dbaca4-fbf7-4852-9822-03af988254ee | There are 21 balls in a jar: 14 red, 4 blue and 3 green. If a single ball is drawn from the jar, what is the probability of that it is either blue or red? | [
"A)1/12",
"B)3/4",
"C)6/9",
"D)6/7",
"E)3/4"
] | D)6/7 | aqua_rat |
322a894e-190e-4259-9375-0f99474789ea | A train is walking at 6/7 of its usual speed, the train is 20 minutes too late. Find its usual time to cover the journey. | [
"A)1 hour",
"B)30min",
"C)3 hours 20 min",
"D)2 hours 30 min",
"E)2 hours"
] | E)2 hours | aqua_rat |
d07fb507-eb5d-4131-80a1-2dae79cb4b15 | A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt? | [
"A)109 ways",
"B)908 ways",
"C)128 ways",
"D)108 ways",
"E)104 ways"
] | D)108 ways | aqua_rat |
2e2cb0d6-f2a8-494e-a996-cd784a22084b | How many meters are there in 770 centimeters? | [
"A)770 meters",
"B)7.6 meters",
"C)700 meters",
"D)6.5 meters",
"E)7.7 meter"
] | E)7.7 meter | aqua_rat |
c5effc65-e446-4eb9-946c-e8fb43469cab | A shopkeeper sold an article at $1800 with 20% profit. Then find its cost price? | [
"A)$1000",
"B)$1500",
"C)$1850",
"D)$1600",
"E)$2000"
] | B)$1500 | aqua_rat |
2a5e64fb-6313-4c59-a643-fea2f8352efb | For what values of k will the pair of equations 3(3x + 4y) = 36 and kx + 12y = 30 does not have a unique solution? | [
"A)12",
"B)9",
"C)3",
"D)7.5",
"E)2.5"
] | B)9 | aqua_rat |
01f5f33b-f18f-429d-a8ba-1f01fa3bb1e4 | A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year? | [
"A)32:45",
"B)32:47",
"C)32:45",
"D)32:41",
"E)32:42"
] | A)32:45 | aqua_rat |
22a7fd87-701c-4286-8b2b-8649c64f7ad4 | Workers decided to raise Rs.3lacs by equal contribution from each. Had they contributed Rs.50 eachextra, the contribution would have been Rs.3.25lacs. How many workers were they? | [
"A)350",
"B)400",
"C)500",
"D)550",
"E)590"
] | C)500 | aqua_rat |
284f6e2d-4383-41b1-ac7b-6ccf65d2aeda | In how many ways can 12 different gifts be divided among four children such that each child receives exactly three gifts? | [
"A)16^3",
"B)(4!)^3",
"C)12!/(3!)^4",
"D)12!/4!",
"E)4^12"
] | C)12!/(3!)^4 | aqua_rat |
e825c238-291e-4d0b-adc0-0c3a5a2384d2 | Find the value of x in (8x-6)=10. | [
"A)1",
"B)2",
"C)3",
"D)4",
"E)5"
] | B)2 | aqua_rat |
a84f6f35-0170-4ce9-8003-6c5774fa2c63 | The sum of three integers A, B and C is 180. A is one third of the sum of B and C and B is one fifth of the sum of A and C. What is C? | [
"A)120",
"B)125",
"C)105",
"D)115",
"E)110"
] | B)125 | aqua_rat |
8bf36d63-5aa0-4f50-89d9-9630cb9eb2b2 | What is (24^7+24) / 24? | [
"A)159202573",
"B)160902641",
"C)172502765",
"D)182302834",
"E)191102977"
] | E)191102977 | aqua_rat |
d70e9e9b-31ba-44d4-af25-d25ecfcc4d23 | A man gets a simple interest of Rs.400 on a certain principal at the rate of 5% p.a in eight years. Find the compound interest the man will get on twice the principal in two years at the same rate? | [
"A)s.256.27",
"B)s.256.29",
"C)s.205.00",
"D)s.256.22",
"E)s.256.25"
] | C)s.205.00 | aqua_rat |
ff81d602-7ea8-47c9-9fc6-e8c7cdf39f4b | A bag contains 3 blue and 5 white marbles. One by one, marbles are drawn out randomly until only two are left in the bag. What is the probability C that out of the two, one is white and one is blue? | [
"A)15/56",
"B)41/56",
"C)13/28",
"D)15/28",
"E)5/14"
] | D)15/28 | aqua_rat |
a1d5c035-f24c-4fdd-b1f0-c71888e3fd22 | Of 120 applicants for a job, 56 had at least 4 years' experience, 72 had degrees, and 12 had less than 4 years' experience and did not have a degree.How many of the applicants had at least 4 years' experience and a degree? | [
"A)10",
"B)15",
"C)22",
"D)20",
"E)24"
] | D)20 | aqua_rat |
4cfa32a0-4d62-4854-b659-762b52f72b88 | Eleven books consisting of 5 financial management, 4 marketing management and 2 system management are placed on a shelf at random order. What is the probability that the books of each kind are all together. | [
"A)1/1155",
"B)1/1255",
"C)1/1355",
"D)1/1455",
"E)1/1555"
] | A)1/1155 | aqua_rat |
6637dee0-debe-4f22-b540-f6f66be63c2b | The inverse ratio of 3: 2: 1 is? | [
"A)2:3:8",
"B)4:3:6",
"C)2:3:2",
"D)2:3:6",
"E)2:3:1"
] | D)2:3:6 | aqua_rat |
c2b2749f-184b-46e5-8d80-8ed308f193bf | Which of the following MUST yield an integer when divided by 11? | [
"A)The sum of eleven consecutive positive integers.",
"B)The square of a prime number.",
"C)The sum of two odd integers.",
"D)The product of three consecutive odd numbers.",
"E)The difference between a multiple of 8 and a multiple of 3."
] | A)The sum of eleven consecutive positive integers. | aqua_rat |
06b4fa60-707a-48e6-9bb8-91289f31274e | A coach must choose five starters from a team of 12 players. How many different ways can the coach choose the starters ? | [
"A)722",
"B)729",
"C)278",
"D)299",
"E)271"
] | B)729 | aqua_rat |
c6c7100c-296a-417e-a7b6-311ac297014a | Barbata invests $2400 in the National Bank at 5%. How much additional money must she invest at 8% so that the total annual income will be equal to 8% of her entire investment? | [
"A)1200",
"B)3000",
"C)1000",
"D)3600",
"E)2400"
] | D)3600 | aqua_rat |
9945ce66-f937-4206-ac55-2d7d22cc48d8 | One side of the bottom layer of a triangular pyramid has 12 balls. How many are there in the whole pyramid?Note that the pyramid is equilateral and solid. | [
"A)286",
"B)364",
"C)504",
"D)164",
"E)165"
] | B)364 | aqua_rat |
4032789c-39b0-4926-98c6-872694e3c8c7 | Marcella has 25 pairs of shoes. If she loses 9 individual shoes, what is the greatest number of matching pairs she could have left? | [
"A)21",
"B)20",
"C)19",
"D)16",
"E)15"
] | B)20 | aqua_rat |
e60355b5-1daf-4597-b062-f3e0ab9f499b | A welder received an order to make a 1 million liter cube-shaped tank. If he has only 4x2 meter sheets of metal that can be cut, how many metal sheets will be required for this order Y? (1 cubic meter = 1,000 liters) | [
"A)92",
"B)90",
"C)82",
"D)78",
"E)75"
] | E)75 | aqua_rat |
3c9fee08-0cce-48b1-a36a-feab8d64eb93 | A merchant can buy goods at the rate of Rs. 20 per good. The particular good is part of an overall collection and the value is linked to the number of items that are already on the market. So, the merchant sells the first good for Rs. 2, second one for Rs. 4, third for Rs. 6…and so on. If he wants to make an overall profit of at least 40%, what is the minimum number of goods he should sell? | [
"A)24",
"B)18",
"C)27",
"D)32",
"E)34"
] | C)27 | aqua_rat |
e701ea3e-657f-45c2-ab7e-755552e5d25f | 65% of x = 20% of 747.50. Find the value of x? | [
"A)100",
"B)230",
"C)150",
"D)180",
"E)199"
] | B)230 | aqua_rat |
5ee57759-52d7-4b41-a924-a7d48162ef22 | The sum of two numbers is 528 and their H.C.F is 33. The number of pairs of numbers satisfying the above conditions is: | [
"A)4",
"B)5",
"C)6",
"D)6",
"E)1"
] | A)4 | aqua_rat |
ecdb64e0-50f1-4850-88b2-6172e68ee199 | The population of a bacteria culture doubles every 2 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 200,000 bacteria | [
"A)10",
"B)12",
"C)14",
"D)16",
"E)18"
] | D)16 | aqua_rat |
6ee4c653-57da-4797-9636-6b28b1a38af9 | A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 500 m long? | [
"A)65sec",
"B)70sec",
"C)74sec",
"D)80sec",
"E)85sec"
] | C)74sec | aqua_rat |
b98987e4-4ecc-479e-88a0-ab007ff880cc | The average temperature of a city in the first four days of a month was 36°. The average for the 2nd, 3rd, 4th and 5th day was 38°. If the temperature of the 1st and 5th day were in the ratio 4 : 5, then what is the temperature on the fifth day ? | [
"A)40°",
"B)49°",
"C)43°",
"D)41°",
"E)42°"
] | A)40° | aqua_rat |
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