id string | question string | choices list | answer_key string | source string |
|---|---|---|---|---|
55a9f064-ca0e-42e8-a502-e313bfea5e39 | A train 330 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going? | [
"A)18 sec",
"B)15 sec",
"C)4 sec",
"D)16 sec",
"E)12 sec"
] | A)18 sec | aqua_rat |
d15dd6ca-3fc5-45b1-8636-77b5e79461a8 | The cost of 20 kgs. of sugar is Rs.400. What is the cost of 12.5 kgs. of sugar? | [
"A)Rs.200",
"B)Rs.150",
"C)Rs.250",
"D)Rs.125",
"E)Rs.225"
] | C)Rs.250 | aqua_rat |
b71f4f7b-2f4c-4d3e-a199-1e46f862d129 | If a(a - 4) = 5 and b(b -4) = 5, where a β b, then a + b = | [
"A)β48",
"B)β4",
"C)4",
"D)9",
"E)48"
] | C)4 | aqua_rat |
be9a6be3-edc7-4dc1-a75a-ce55ff13031b | A disease has infected an ant colony that consists ofworkersandsoldiers: 30% of the soldiers and 14% of theworkerswere infected. If that colony is inhabited by 7000 ants, out of which 1660 are infected, how manyworkersinhabit the colony? | [
"A)1500",
"B)2500",
"C)2750",
"D)3000",
"E)3250"
] | C)2750 | aqua_rat |
52dec286-20e4-467f-979e-0defb8f97154 | What is the unit digit in 7^105 | [
"A)7",
"B)0",
"C)2",
"D)3",
"E)5"
] | A)7 | aqua_rat |
a35d7681-383a-4602-b32d-c226fb0c54ed | How many factors does 34^2 have? | [
"A)2",
"B)8",
"C)20",
"D)25",
"E)26"
] | C)20 | aqua_rat |
b4a477d8-f217-45a7-ae46-aef512fdffdd | In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there? | [
"A)456",
"B)124",
"C)145",
"D)116",
"E)209"
] | E)209 | aqua_rat |
45d9aadb-e75c-4db9-8282-ee1731fbcd5d | The factorial expression 10!/2! is not divisible by which of the following integers? | [
"A)3",
"B)5",
"C)6",
"D)7",
"E)None of these"
] | E)None of these | aqua_rat |
f827f33f-d3da-4f3c-9102-bf1407151e6c | If f(f(n)) + f(n) = 2n+3, f(0) = 1 then f(2013) = ? | [
"A)2014",
"B)2088",
"C)270",
"D)1881",
"E)1781"
] | A)2014 | aqua_rat |
ca6611a9-ff28-4d17-9b3e-e3aa478f0975 | An equity analyst needs to select 4 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 5, in how many ways can she choose and rank her top 4 picks? | [
"A)210",
"B)350",
"C)110",
"D)120",
"E)840"
] | D)120 | aqua_rat |
8fc2eeea-cf13-45a5-a9a7-1fbfdc99d023 | The first half of a 600-mile trip was travelled in x hours and the second half in y hours. Which of the following is equal to the average speed, in miles per hour, for the entire trip? | [
"A)300/(x + y)",
"B)600/(x + y)",
"C)150/x + 150/y",
"D)300/x + 300/y",
"E)600/x + 600/y"
] | B)600/(x + y) | aqua_rat |
29c41e55-2a5d-4679-a367-aacd3a82006c | Chris age after 20 years will be 5 times his age 5 years back. what is the present age of Chris? | [
"A)A)20",
"B)B)25",
"C)C)15",
"D)D)22",
"E)E)5"
] | E)E)5 | aqua_rat |
278bea0f-4021-4c1b-872f-31a4e5cce890 | A sum of money becomes triple itself in 5 years at simple interest. How many years will it become seven times at the same rate? | [
"A)12 ΓΒ½ years",
"B)62 ΓΒ½ years",
"C)18 ΓΒ½ years",
"D)72 ΓΒ½ years",
"E)14 ΓΒ½ years"
] | E)14 ΓΒ½ years | aqua_rat |
1c6fb883-0a7f-495d-bcff-378f8f8a1974 | A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 12 minutes. How long will it take to go 5 km in stationary water? | [
"A)40 minutes",
"B)1 hour",
"C)1 hour 25 min",
"D)1 hour 30 min",
"E)1 hour 10 min"
] | C)1 hour 25 min | aqua_rat |
5976ab5e-a328-4835-b23a-e418ed3ac6cf | Three students appear at an examination of Mathematics. The probability of their success are 1/3, 1/4, 1/5 respectively. Find the probability of success of at least two. | [
"A)1/6",
"B)2/5",
"C)3/4",
"D)3/5",
"E)4/5"
] | A)1/6 | aqua_rat |
73de799e-abe9-4c3b-a970-e6d720faed6b | In how many ways can a group of 7 men and 5 women be made out of a total of 10 men and 7 women? | [
"A)2200",
"B)2520",
"C)2689",
"D)2540",
"E)2680"
] | B)2520 | aqua_rat |
4a07a364-5959-4546-a29c-6459af636956 | A certain barrel, which is a right circular cylinder, is filled to capacity with 40 gallons of oil. The first barrel is poured into a second barrel, also a right circular cylinder, which is empty. The second barrel is twice as tall as the first barrel and has twice the diameter of the first barrel. If all of the oil in... | [
"A)There is no empty capacity",
"B)100 gallons",
"C)280 gallons",
"D)700 gallons",
"E)800 gallons"
] | C)280 gallons | aqua_rat |
bd061c56-ba0e-41c4-a589-60d52dce0e60 | A can give B 100 meters start and C 300 meters start in a kilometer race. How much start can B give C in a kilometer race? | [
"A)110.22 meters",
"B)111.22 meters",
"C)222.22 meters",
"D)333.22 meters",
"E)None of these"
] | C)222.22 meters | aqua_rat |
b7619a72-bf45-4f9b-aea5-692045e6e184 | A man can reach certain place in 50hours. If he reduces his speed by 1/10th, he goes 500km less in time. Find his speed? | [
"A)120km/hr",
"B)130km/hr",
"C)140km/hr",
"D)150km/hr",
"E)100km/hr"
] | E)100km/hr | aqua_rat |
c2242731-7708-481c-ae50-5a8c7c361a8b | Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 25 hours respectively. The ratio of their speeds is? | [
"A)4:5",
"B)5:3",
"C)4:4",
"D)4:8",
"E)4:1"
] | B)5:3 | aqua_rat |
5b19f0c1-c550-43da-90d3-ec3bc7232b63 | A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good? | [
"A)20/68",
"B)20/63",
"C)20/62",
"D)20/61",
"E)20/67"
] | B)20/63 | aqua_rat |
1b91a6f9-ae43-4bad-a323-d6c967c4af65 | The cost of the paint is rs.40.00 per kg. if 1kg of paint covers 20sq.ft, how much will it cost to paint outside of a cube having 10 feet each side | [
"A)Rs.1200",
"B)Rs.672",
"C)Rs.546",
"D)Rs.876",
"E)None of these"
] | A)Rs.1200 | aqua_rat |
ff5fba4a-b97a-44f0-850f-8bd895b67691 | When tossed, a certain six-sided die has an equal probability of landing on any of the six sides. If the die is tossed 3 times, what is the probability that it will land on the same side each time? | [
"A)1/6",
"B)1/12",
"C)1/36",
"D)1/72",
"E)1/216"
] | C)1/36 | aqua_rat |
5532aa1e-00bd-40c1-88d5-99d11018bbf3 | In a certain sequence of 10 numbers, each number after the first is 1 more than the previous number. If the first number is β5, how many of the numbers in the sequence are positive? | [
"A)None",
"B)One",
"C)Two",
"D)Three",
"E)Four"
] | E)Four | aqua_rat |
3ffe9939-cf86-4504-bff8-335b076207c1 | A cube of edge 16cm is immersed completely in a rectangular vessel containing water. If the dimensions of the base of vessel are 20cm * 15cm , find the rise in water level? | [
"A)6cm",
"B)8.25cm",
"C)13.65cm",
"D)15.12cm",
"E)20.62cm"
] | C)13.65cm | aqua_rat |
ea1a56ac-946f-4a1f-9f1e-aa32c8afdb36 | Walking at 8KMPH From Point Q to Point railway station, mike will miss the train by 5 minutes. If he walks at 10KMPH he will reach the station by 5 minutes early.What is the distance between Point Q to Railway station? | [
"A)A)9KM",
"B)B)6.66KM",
"C)C)7.25KM",
"D)D)12.40KM",
"E)E)13KM"
] | B)B)6.66KM | aqua_rat |
8fc69873-a33e-40fb-a4b6-b77839bacef5 | 1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 -5/6= | [
"A)0",
"B)2/15",
"C)2/5",
"D)9/20",
"E)5/6"
] | E)5/6 | aqua_rat |
bb6bf451-aced-408e-9d87-0cc15e9b6bf9 | Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5? | [
"A)1/2",
"B)1/2",
"C)8/15",
"D)9/20",
"E)9/24"
] | D)9/20 | aqua_rat |
f249165e-414b-4637-bcf4-3eb322e84187 | A box contains nine bulbs out of which 3 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good. | [
"A)125/167",
"B)125/186",
"C)83/84",
"D)125/186",
"E)125/128"
] | C)83/84 | aqua_rat |
45e7282c-042d-4b5f-b6e2-7520f58bdbe8 | If you roll a fair-sided die twice, what is the probability of getting a (3,3 ) double? | [
"A)1/2!",
"B)1/4!",
"C)1/3!",
"D)1/5!",
"E)1/6!"
] | C)1/3! | aqua_rat |
4b2a20a8-6803-45d9-8d76-08bcb7166f9d | The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions | [
"A)700",
"B)704",
"C)704",
"D)706",
"E)707"
] | B)704 | aqua_rat |
a232fd44-edde-4bbe-b4b1-44ef5fd34698 | How many times are the hands of a clock at right angle in a day? | [
"A)22",
"B)11",
"C)33",
"D)55",
"E)44"
] | E)44 | aqua_rat |
cb8b3d82-c552-456e-ae14-13cc658cad2d | Howmany three digits odd numbers can be formed using the digits 4,5,6,7,8,9 (repetition of digits not allowed) | [
"A)60",
"B)75",
"C)65",
"D)55",
"E)45"
] | A)60 | aqua_rat |
227a9ef4-4ac3-4217-8ba7-16ca75c5483b | If the quantity 6^2+ 6^4 + 6^6 is written as (a + b)(a β b), in which both a and b are integers, which of the following could be the value of b? | [
"A)52",
"B)15",
"C)36",
"D)22",
"E)25"
] | C)36 | aqua_rat |
6d0b5e15-4255-4f0f-8dd5-f5ef59539432 | What does RBI regulate through Open Market Operation Transactions? | [
"A)Flow of Foreign Direct Investment",
"B)What does RBI regulate through Open Market Operation Transactions?",
"C)Borrowing powers of the banks",
"D)Liquidity in economy",
"E). Inflation"
] | D)Liquidity in economy | aqua_rat |
dbee7e2a-48de-4012-8317-c2c4f61157e0 | A company has 12 equally qualified applicants for 4 open positions. How many different groups of 4 applicants can be chosen by the company to fill the positions if the order of selection does not matter? | [
"A)475",
"B)480",
"C)485",
"D)490",
"E)495"
] | E)495 | aqua_rat |
b6c362a1-958f-4cd3-82ab-b0d7cc947761 | A candidate got 25% of the votes polled and he lost to his rival by 4000 votes. How many votes were cast? | [
"A)7500",
"B)2028",
"C)2775",
"D)5496",
"E)8000"
] | E)8000 | aqua_rat |
355646de-40fc-475c-a0c5-bcc18778a7aa | Which of the following correctly lists the data sets in order of least to greatest standard deviation?
I. 12, 13, 15, 12, 14, 14
II. 32, 32, 32, 32, 32, 32
III. 37, 48, 59, 40, 41, 42 | [
"A)I, II, III",
"B)I, III, II",
"C)II, I, III",
"D)II, III, I",
"E)III, II, I"
] | C)II, I, III | aqua_rat |
22959e67-75a7-4382-9374-490ffd4b3376 | A train 210 metres long is moving at a speed of 25 kmph. It will cross a man coming from the opposite direction at a speed of 2 km per hour in : | [
"A)28 sec",
"B)32 sec",
"C)36 sec",
"D)38 sec",
"E)40 sec"
] | A)28 sec | aqua_rat |
e3593e20-979a-4603-9b52-455b34edacd9 | A jogger running at 9 km/hr along side a railway track is 150 m ahead of the engine of a 100 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger? | [
"A)88",
"B)27",
"C)36",
"D)80",
"E)25"
] | E)25 | aqua_rat |
264116ba-fada-4afe-9734-05b59e6b81cf | Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is? | [
"A)16 : 5",
"B)14 : 5",
"C)16 : 7",
"D)19 : 5",
"E)24:8"
] | D)19 : 5 | aqua_rat |
792e500d-43c4-494c-965a-b25b0dd42729 | A pipe can fill a cistern in 7 minutes whereas the cistern when fill can be emptied by a leak in 14 minutes. When both pipes are opened, find when the cistern will be full? | [
"A)17",
"B)16",
"C)70",
"D)14",
"E)12"
] | D)14 | aqua_rat |
81945f6d-5767-44f5-a4fc-8975bb27e479 | Due to an increase in 30% in the price of eggs, 3 eggs less are available for Rs. 7.80. Find the present rate of eggs per dozen. | [
"A)Rs. 9.36",
"B)Rs. 10.36",
"C)Rs. 11.36",
"D)Rs. 12.36",
"E)Rs. 14.36"
] | A)Rs. 9.36 | aqua_rat |
a91e0565-3971-4f83-b962-17f09ca92a8b | If the average (arithmetic mean) of three consecutive integers is 21, then the product of the greatest and least integer is | [
"A)443",
"B)442",
"C)440",
"D)444",
"E)441"
] | C)440 | aqua_rat |
b9f5647f-034f-4138-ad50-95f7201d3d9c | In expressing a length 81.469 km as nearly as possible with three significant digits, find the percentage error? | [
"A)0.075%",
"B)0.156%",
"C)0.034%",
"D)0.038%",
"E)0.152%"
] | D)0.038% | aqua_rat |
92f45e2a-8239-4f78-b197-172c41259ffa | In how many ways can the letters of the word BUTTER be arranged in a row so that the vowels appear in alphabetic order? | [
"A)380",
"B)420",
"C)360",
"D)400",
"E)320"
] | C)360 | aqua_rat |
32244d8e-3e26-498e-84f1-8b91e616ed0b | If there are 4 seats and two students, in how many ways can they be seated? | [
"A)12",
"B)6",
"C)8",
"D)16",
"E)10"
] | A)12 | aqua_rat |
83f95365-29a5-49b5-80b8-e9d171fae0cb | The greatest number that divides 3560 and 3450 leaving remainder 4 and 6 respectively is: | [
"A)23",
"B)25",
"C)26",
"D)28",
"E)30"
] | D)28 | aqua_rat |
8418d0b5-ff19-461a-b3d5-c9405b7884ad | If '+' denotes Γ· , 'β' denotes Γ, βΓβ denotes β and βΓ·β denotes +, then
35 + 7 β 5 ΒΈ5 Γ 6 = ? | [
"A)22",
"B)26",
"C)24",
"D)28",
"E)29"
] | C)24 | aqua_rat |
c83aa2b0-5bda-49c3-a36a-e95a239a3065 | A train 410 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long? | [
"A)40 sec",
"B)50 sec",
"C)44 sec",
"D)49 sec",
"E)60 sec"
] | C)44 sec | aqua_rat |
d55711e5-7770-4953-85b1-c5b85634501d | The average age of 9 men increases by 4 years when two women are included in place of two men of ages 36 and 32 years. Find the average age of the women? | [
"A)78",
"B)26",
"C)52",
"D)54",
"E)56"
] | C)52 | aqua_rat |
85cc5efa-1e79-485c-b550-28dde53c9586 | Excluding stoppages, the speed of a bus is 52 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour? | [
"A)7 min",
"B)6 min",
"C)9 min",
"D)8 min",
"E)11 min"
] | D)8 min | aqua_rat |
d9a77a89-8c3f-40c1-8325-a1990c005d78 | A garrison of 1850 men has provisions for 28 days. At the end of 12 days, a reinforcement arrives, and it is now found that the provisions will last only for 10 days more. What is the reinforcement? | [
"A)1850",
"B)2960",
"C)3000",
"D)1110",
"E)1712"
] | D)1110 | aqua_rat |
85d68553-b7ba-45ff-b553-1ac3c27bd87d | The Hat Company makes hats of different colors, some plain and some with printing. For a particular order of hats, 2 out of every 3 hats are blue. If 1 out of every 3 blue hats has printing, and there are 200 blue hats with printing in the shipment, how many hats total are there in the shipment? | [
"A)200",
"B)900",
"C)1,000",
"D)5,000",
"E)520"
] | B)900 | aqua_rat |
8cb23e15-aaf8-41c0-9de1-62af6162d4fe | Arya starts cycling along the boundaries of the squares. She starts from a point A and after 90 minutes she reached to point C diagonally opposite to A. If she is travelling with 30km/hr, then find the area of square field. | [
"A)125",
"B)225",
"C)325",
"D)425",
"E)None of these"
] | E)None of these | aqua_rat |
cefd6d16-b58c-4340-b8fa-51ff7c8897c8 | A cistern 6m long and 5 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is: | [
"A)49 m2",
"B)50 m2",
"C)53.5 m2",
"D)55 m2",
"E)57.5 m2"
] | E)57.5 m2 | aqua_rat |
38665b4e-2bb8-4df3-a538-bdfde6649107 | A rectangular cube has a volume of 7 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?
Choices | [
"A)24",
"B)48",
"C)56",
"D)80",
"E)100"
] | C)56 | aqua_rat |
ed4a0b40-9141-4309-945b-1cfa050d3eb2 | If d=1/(2^3*5^9) is expressed as a terminating decimal, how many nonzero digits will d have? | [
"A)One",
"B)Two",
"C)Three",
"D)Seven",
"E)Ten"
] | B)Two | aqua_rat |
1154fd50-cf99-4feb-8e22-b693f3645997 | If the side of a square is increased by 55%, its area is increased by? | [
"A)140%",
"B)145%",
"C)150%",
"D)160%",
"E)none of these"
] | A)140% | aqua_rat |
397b015d-1a7a-4f39-b9ba-3362b20843a7 | The average of 5 consecutive integers starting with m as the first integer is n. What is the average of 15 consecutive integers that start with (m + 2)? | [
"A)m + 4",
"B)n + 6",
"C)n + 7",
"D)m + 5",
"E)n + 4"
] | C)n + 7 | aqua_rat |
6eef52a4-d744-4b5a-ba0d-855cb8328507 | 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 $1,055. How much did she invest at 5%? | [
"A)$500",
"B)$600",
"C)$700",
"D)$900",
"E)$950"
] | A)$500 | aqua_rat |
d9403786-ba30-45bf-b6b2-0498c523e24f | What is the perimeter of a square field whose diagonal is 8Γ’ΛΕ‘2? | [
"A)64 m",
"B)32 m",
"C)30 m",
"D)16 m",
"E)18 m"
] | B)32 m | aqua_rat |
1262ad09-715f-4ee3-b6e7-2bb292c03221 | The product of the squares of two positive integers is 1600. How many pairs of positive integers satisfy this condition? | [
"A)0",
"B)1",
"C)2",
"D)3",
"E)4"
] | E)4 | aqua_rat |
46d9bcb6-1bce-4a69-aa20-637fbc24cc5a | The sum of first five prime numbers is: | [
"A)28",
"B)29",
"C)24",
"D)22",
"E)43"
] | A)28 | aqua_rat |
13423704-3545-473c-9ec3-c987b58d3b9e | Find the fourth proportional to 5.1, 3.6 and 2.3? | [
"A)2.62",
"B)1.22",
"C)3.12",
"D)2.62",
"E)1.62"
] | E)1.62 | aqua_rat |
6851913f-54b7-4ad5-8c2e-aa4c566c8ebf | In a workshop there are 4 kinds of beds, 3 kinds of closets, 3 kinds of shelves and 7 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one shelf, one bed and one of the following: a chair or a closet? | [
"A)A)168.",
"B)B)80.",
"C)C)56.",
"D)D)48.",
"E)E)120."
] | E)E)120. | aqua_rat |
49d14332-8088-403e-a0c9-f4ba30f85317 | ((1^7m)/(5^7m))((1^18)/(4^18)) = 1/(2(10)^35)
What is m? | [
"A)17",
"B)5",
"C)34",
"D)35",
"E)36"
] | B)5 | aqua_rat |
e80ee00b-47b1-44f9-9ce0-4aed2eda154d | If b < 2 and 4x - 8b = 0, which of the following must be true? | [
"A)x > -3",
"B)x < 5",
"C)x = 4",
"D)x < 4",
"E)D. x > 3"
] | D)x < 4 | aqua_rat |
648c9983-ff09-4c32-a974-6cdce9afa2f5 | David is a trail runner who decides to take a day off work to run up and down a local mountain. He runs uphill at an average speed of 3 miles per hour and returns along the same route at an average speed of 8 miles per hour. Of the following, which is the closest to his average speed, in miles per hour, for the trip up... | [
"A) 4.3",
"B) 5.8",
"C) 6.0",
"D) 6.3",
"E) 6.5"
] | A) 4.3 | aqua_rat |
7772894b-6ee5-42bb-b5dc-101d2f657d0d | A boat goes 100 km downstream in 10 hours, and 90 km upstream in 15 hours. The speed of the stream is? | [
"A)5km/h",
"B)4km/h",
"C)2km/h",
"D)(1/2) km/h",
"E)E)None"
] | C)2km/h | aqua_rat |
104699be-2a45-4502-b8df-0c5330e08e9a | Rovert traveled a distance of 30 km, covering the first 10 km in x minutes, the next 10 km in y minutes and the last 10 km in z minutes. If he totally took 3y minutes to cover the whole distance, then which of the following cannot be true? Assume x , y and z are different. | [
"A)z=3x",
"B)x=3z",
"C)y=2x",
"D)x=2y",
"E)y=3x"
] | D)x=2y | aqua_rat |
93ebfa5f-45e0-4715-a8d9-db84cc0adf30 | (1/2) of a number is 3 more than the (1/6) of the same number? | [
"A)6",
"B)7",
"C)8",
"D)9",
"E)5"
] | D)9 | aqua_rat |
4c71886e-005d-4857-8125-3040f7a136ec | One side of a rectangle is 3 cm shorter than the other side. If we increase the length of each side by 1 cm, then the area of the rectangle will increase by 20 cm2. Find the lengths of all sides. | [
"A)10 and 3",
"B)7 and 10",
"C)11 and 8",
"D)3 and 10",
"E)10 and 10"
] | C)11 and 8 | aqua_rat |
670c5c37-39d5-4ec0-b2cb-b604d13b591a | What will be the remainder when 17^200 is divided by 18 ? | [
"A)3",
"B)8",
"C)5",
"D)1",
"E)7"
] | D)1 | aqua_rat |
c834a108-43b2-4d29-9c2b-ae6baed88ff6 | Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of oxygen are there in 108 grams of water? | [
"A) 16",
"B) 96",
"C) 112",
"D) 128",
"E) 142"
] | B) 96 | aqua_rat |
49a76cc4-b8cf-4da7-b17a-9541569fb252 | In a staircase, there ar 10 steps. A child is attempting to climb the staircase. Each time she can either make 1 step or 2 steps. In how many different ways can she climb the staricase? | [
"A)23",
"B)277",
"C)18",
"D)178",
"E)181"
] | B)277 | aqua_rat |
4b0d7aee-b0f9-4db8-a18d-dd855ebf08dc | If 1.5 cm of a pencil is purple, 0.5 cm of the remaining is black and the remaining 2 cm is blue, what is the total length of the pencil? | [
"A)5 cm",
"B)3 cm",
"C)1 cm",
"D)4 cm",
"E)2 cm"
] | D)4 cm | aqua_rat |
dc66e38b-d0ba-4b3e-8263-a6382280f2fa | Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes? | [
"A)28",
"B)25",
"C)27",
"D)23",
"E)21"
] | E)21 | aqua_rat |
b4e48b85-2939-46f7-bf46-54a007cc2b65 | A certain sum becomes four times itself at simple interest in eight years. In how many years does it become ten times itself? | [
"A)24",
"B)55",
"C)77",
"D)99",
"E)01"
] | A)24 | aqua_rat |
f1f418eb-1ae1-4f52-99bd-ca834e0bf415 | The sume of the ages of 5 children born at the intervals of 3 years each is 50 years.What is the age of the youngest child ? | [
"A)4 years",
"B)8 years",
"C)10 years",
"D)None of these",
"E)11 years"
] | A)4 years | aqua_rat |
423ed12e-03f4-4bd3-a4b1-989ef080e206 | A small, rectangular park has a perimeter of 560 feet and a diagonal measurement of 400 feet. What is its area, in square feet? | [
"A)76,800",
"B)19,600",
"C)20,000",
"D)20,400",
"E)20,800"
] | A)76,800 | aqua_rat |
fa89fed2-9e0c-4574-9b8c-bb0b22dafda6 | A man cycles at a rate of 4 kmph. He cycles for 45 minutes and then takes a 15 minute break. Determine the total time taken to cover 12 kms by him. | [
"A)4 hours 35 minutes",
"B)4 hours",
"C)3 hours",
"D)3 hours 45 minutes",
"E)4 hours 45 minutes"
] | D)3 hours 45 minutes | aqua_rat |
71d91211-e934-4593-a3e8-8028835a51ee | An article is sold at certain price. By selling it at 2/3 of its price one losses 10%, find the gain at original price? | [
"A)35",
"B)25",
"C)10",
"D)20",
"E)30"
] | A)35 | aqua_rat |
ce56aaef-bb8d-4bd3-8e76-01828da6d22f | Eight machines, each working at the same constant rate, together can complete a certain job in 20 days. How many additional machines, each working at the same constant rate, will be needed to complete the job in 16 days? | [
"A)4",
"B)6",
"C)8",
"D)10",
"E)2"
] | E)2 | aqua_rat |
f94fb663-5748-4207-b6ed-5185ab444231 | A local bank that has 11 branches uses a two-digit code to represent each of its branches. The same integer can be used for both digits of a code, and a pair of two-digit numbers that are the reverse of each other (such as 17 and 71) are considered as two separate codes. What is the fewest number of different integers ... | [
"A)3",
"B)11 ( 2 integers 4 codes)",
"C)5",
"D)6",
"E)7"
] | B)11 ( 2 integers 4 codes) | aqua_rat |
1b139452-88b7-405c-8509-fb6f4872ccfd | The price of a coat in a certain store is $500. If the price of the coat is to be reduced by $400, by what percent is the price to be reduced? | [
"A)10%",
"B)15%",
"C)20%",
"D)25%",
"E)80%"
] | E)80% | aqua_rat |
22cda385-e0c1-4990-8e75-7b87944ab6f1 | On the first of the year, James invested x dollars at Proudstar bank in an account that yields 4% in interest every quarter year. At the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. If James had invested the same amount in an account which pays interest o... | [
"A)22.04%",
"B)26.12%",
"C)28%",
"D)16.25%",
"E)30%"
] | D)16.25% | aqua_rat |
0ade68c7-cb7c-4405-be0c-b5c11d022922 | If the selling price of 50 articles is equal to the cost price of 40 articles, then the loss or gain percent is? | [
"A)20%",
"B)80%",
"C)90%",
"D)22%",
"E)24%"
] | A)20% | aqua_rat |
3f08b37b-0de9-4558-b25c-e5c09af046d0 | The marks obtained by Vijay and Amith are in the ratio 8:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of? | [
"A)12:5",
"B)12:1",
"C)6:5",
"D)12:2",
"E)6:3"
] | A)12:5 | aqua_rat |
1556f996-9520-428f-bf2b-798f8513fc47 | Solution P is 20 percent lemonade and 80 percent carbonated water by volume; solution Q is 45 percent lemonade and 55 percent carbonated water by volume. If a mixture of PQ contains 60 percent carbonated water, what percent of the volume of the mixture is P? | [
"A)20%",
"B)30%",
"C)40%",
"D)50%",
"E)60%"
] | A)20% | aqua_rat |
729cb3c7-f423-44f7-bca1-c0e98392cd63 | A cistern has three pipes, A, B and C. The pipes A and B can fill it in 4 and 5 hours respectively and C can empty it in 2 hours. If the pipes are opened in order at 1, 2 and 3 A.M. When will the cistern be empty? | [
"A)2 PM",
"B)1 PM",
"C)7 PM",
"D)5 PM",
"E)8 PM"
] | D)5 PM | aqua_rat |
ff1c5acf-84fa-466a-9020-9deb15cd3752 | The average age of twenty four boys in a class and the teacher is 15. If the teacher age is excluded, the average reduces to 14. What is the techer's age? | [
"A)41",
"B)36",
"C)32",
"D)39",
"E)38"
] | D)39 | aqua_rat |
754432aa-9c61-4b3f-94f0-addfb49a440c | Three candidates contested in an election and received 4136, 7636, 11628 votes respectively. What is the percentage of the total votes did the winning candidate get? | [
"A)45%",
"B)49%",
"C)50%",
"D)51%",
"E)62%"
] | C)50% | aqua_rat |
c8021654-0a85-4c1e-96ec-65fa2da8307b | A student has 7 trousers and 11 shirts. In how many different ways can the student select a trouser and a shirt? | [
"A)68",
"B)77",
"C)86",
"D)95",
"E)104"
] | B)77 | aqua_rat |
de3db2aa-0ad7-490d-84a4-96936b91d047 | If it is a 3x3 matrix, for which elements in first row are (V, 50, W), second row (196,X, Y)and in third row are (269, Z, 123).It is given that the sum of the numbers in each row, column, diagonal are same. Then find the value of (Y + Z). | [
"A)1012",
"B)1011",
"C)1212",
"D)1122",
"E)1021"
] | D)1122 | aqua_rat |
285b2f18-0b3e-4a94-9f36-c16cbbad9daf | Ross has 320 shirts, 3/4 of the shirts are green and 1/10 is without buttons. Therefore Ross has between ___ and ___ shirts with buttons that are not green. | [
"A)48 ; 80.",
"B)49 ; 80.",
"C)50 ; 80.",
"D)51 ; 80.",
"E)52 ; 80."
] | A)48 ; 80. | aqua_rat |
b9f5b243-0d0b-4ca7-b19c-5e25c2a10273 | If 1^3 + 2^3 + 3^3 +......+ 10^3 = 516 then the value of 2^3 + 4^3 + 6^3 + ..... + 20^3 is | [
"A)1032",
"B)1040",
"C)1048",
"D)1050",
"E)1052"
] | A)1032 | aqua_rat |
bc88610d-2f16-46ac-902d-4849e662fad3 | If β+β means βΓβ, β-β means β+β, βΓβ means βΓ·β and βΓ·β means β-β then find the value of;
6 β 9 + 8 Γ 3 Γ· 20 = | [
"A)6",
"B)10",
"C)12",
"D)-2",
"E)8"
] | B)10 | aqua_rat |
6d6b6917-792a-4189-9b5f-f4d575fa4da5 | Two pillars are standing side-by-side. One pillar, which is 6 feets tall, casts a shadow that is 12 feets long. The other pillar is 4 feets tall. Compute, in feets, the length of the shadow that
the shorter pillar casts. | [
"A)8",
"B)10",
"C)12",
"D)16",
"E)20"
] | A)8 | aqua_rat |
b6f957de-d560-4b71-8716-999a7d01e1b5 | The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number? | [
"A)43",
"B)30",
"C)35",
"D)45",
"E)50"
] | A)43 | aqua_rat |
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