id string | question string | choices list | answer_key string | source string |
|---|---|---|---|---|
3502ba03-e96c-4510-b928-b90bfbbcb2af | A certain class of students is being divided into teams. The class can either be divided into 12 teams with an equal number of players on each team or 24 teams with an equal number of players on each team. What is the lowest possible number of students in the class? | [
"A)24",
"B)36",
"C)48",
"D)60",
"E)72"
] | A)24 | aqua_rat |
49a724b4-7bb1-48fb-9eb7-da44e5581857 | Find all rational zeros of P(x) = x3 - 7x + 6. | [
"A)x=1,2,-3",
"B)x=2,2,-5",
"C)x=7,4,-8",
"D)x=6,6,-9",
"E)x=2,1,-3"
] | A)x=1,2,-3 | aqua_rat |
c5492932-7485-4d4d-aab7-e8ad50586a50 | What is the remainder when 3^29 is divided by 5? | [
"A)0",
"B)1",
"C)2",
"D)3",
"E)4"
] | D)3 | aqua_rat |
776430cf-3e42-4105-b4ff-c24dc0a6b984 | Find out the square of a number which when doubled exceeds its one nineth by 17 ? | [
"A)16",
"B)25",
"C)81",
"D)26",
"E)17"
] | C)81 | aqua_rat |
abf14977-a5d2-4eec-86ac-5b3995792efe | The probability of Sam passing the exam is 1/2. The probability of Sam passing the exam and Michael passing the driving test is 1/6. What is the probability of Michael passing his driving test? | [
"A)1/24.",
"B)1/2.",
"C)1/3.",
"D)2/3.",
"E)2/5"
] | C)1/3. | aqua_rat |
358f65b6-e387-4b0b-9900-d51679620270 | Mr. Wayne bungee jumps from the top of a building straight to the ground at a constant speed. 3 seconds after he starts plummeting he passes the 20th floor. 15 seconds after he starts plummeting he passes the 5th floor. Each floor is 3.8 meters high. What is Mr. Wayne's speed in meters per second? | [
"A)3",
"B)4.75",
"C)4",
"D)4.25",
"E)5"
] | B)4.75 | aqua_rat |
a3d49fdb-a78c-47d2-9a2a-63745f78a30f | Manie spent 2⁄5 of her money on new clothes and then deposited 1⁄2 of what remained into her savings account. If she then had $21 left, how much did she have at the start? | [
"A)$30",
"B)$35",
"C)$70",
"D)$105",
"E)$210"
] | C)$70 | aqua_rat |
ce89d9f7-1c10-4b96-975a-6510c745a03b | If John takes 5 minutes to eat x raisins, how many seconds will it take him to eat z raisins, assuming he continues to eat at the same rate? | [
"A)5z/x",
"B)300z/x",
"C)300xz",
"D)300x/z",
"E)5x/z"
] | B)300z/x | aqua_rat |
a8b98886-5826-4551-9ab2-bcca3cb8e3f2 | If there are 35 red and blue marbles in a jar, and the ratio of red to blue marbles is 3:4, what is the probability that, drawing twice, you will select two red marbles if you return the marbles after each draw? | [
"A)1/25",
"B)2/25",
"C)3/25",
"D)4/25",
"E)6/49"
] | E)6/49 | aqua_rat |
efbf10bb-7b25-4fd3-895c-a095fc772481 | A firm has 5 senior partners and 7 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner? (Note that two groups are considered different if at least one group member is different.) | [
"A)145",
"B)155",
"C)165",
"D)175",
"E)185"
] | E)185 | aqua_rat |
c9b2d2ca-cb52-46d8-84a5-2c130e8546b0 | If the sum of two numbers is 45 and the H.C.F and L.C.M of these numbers are 3 and 100 respectively, then the sum of the reciprocal of the numbers is equal to: | [
"A)103/300",
"B)103/200",
"C)112/300",
"D)154/140",
"E)100/300"
] | A)103/300 | aqua_rat |
28cd804d-6e49-412e-8ba5-b27621dd8d76 | Which of the following lines is perpendicular to y = − 2x + 3 and has the same y-intercept as y = 2x − 6? | [
"A)y = -1/2*x + 3",
"B)y = 1/2*x - 6",
"C)y = 1/2*x + 3",
"D)y = 2x + 3",
"E)y = 2x − 3"
] | B)y = 1/2*x - 6 | aqua_rat |
3520ff5b-9c2c-4e6b-9d66-56899394d322 | Which of the following could be the value of x, if |4x – 2| = 10? | [
"A)–3",
"B)–2",
"C)1",
"D)2",
"E)4"
] | B)–2 | aqua_rat |
29d41050-a525-4cf0-9d97-4f93beedfb09 | In a hotel we can order two types of varieties, but we can make 4 more varieties in home. One can choose the four varieties with two from hotel as must. Find how many ways one can order. | [
"A)4",
"B)5",
"C)6",
"D)8",
"E)9"
] | C)6 | aqua_rat |
50718148-d64b-4589-85ae-c26bd8e2a30a | Calculate the fourth proportional to 5.2, 6.6 and 9.1? | [
"A)19.55",
"B)10.55",
"C)11.55",
"D)10.2",
"E)12.5"
] | C)11.55 | aqua_rat |
b2ef36b3-be1d-4a15-998e-0f6d1d5989d1 | A group of college friends plan to rent a house together for x dollars per month, which is to be shared equally among them. If four, rather than seven people rent the house together, how many more dollars, in terms of x, will each person have to pay for rent per month? | [
"A)x/4",
"B)x/7",
"C)x/11",
"D)x/28",
"E)3x/28"
] | E)3x/28 | aqua_rat |
79055ea3-6fa7-40a9-a160-bd6a72887c35 | A train passes a station platform in 32 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? | [
"A)200",
"B)220",
"C)180",
"D)250",
"E)260"
] | C)180 | aqua_rat |
6be95a4d-257c-4e50-b7db-92b9a6ab15ad | Eighteen years ago, a father was three times as old as his son. Now the father is only twice as old his son. Then the sum of the present ages of the son and the father is? | [
"A)109",
"B)106",
"C)104",
"D)108",
"E)101"
] | D)108 | aqua_rat |
8ede3096-0ef3-419f-9117-5ff5ae8440b3 | In what time will a train 110 m long cross an electric pole, it its speed be 144 km/hr? | [
"A)2.35 sec",
"B)2.85 sec",
"C)7.5 sec",
"D)2.75 sec",
"E)1.5 sec"
] | D)2.75 sec | aqua_rat |
5c5db869-5911-4066-abd3-59a1cffd215f | At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years? | [
"A)6",
"B)5",
"C)4",
"D)78",
"E)2"
] | C)4 | aqua_rat |
c8bb3bad-4c41-434d-80b1-eb4b173399ed | Find out the wrong number in the series.
6, 12, 48, 102, 384, 768, 3072 | [
"A)768",
"B)384",
"C)102",
"D)488",
"E)12"
] | C)102 | aqua_rat |
d755d9bc-db7f-46ce-b139-7d333d30d66b | Manet has to pay back her bank loan over 9 months following the below sequence.
$50, $55, $65, $80, $85, $95, $110, $115, ?
How much will she pay back on the ninth month? | [
"A)$155",
"B)$145",
"C)$135",
"D)$125",
"E)$130"
] | D)$125 | aqua_rat |
20ec0b50-aeff-43c5-8c6a-690fac146b67 | The difference between the local value and the face value of 7 in the numeral 32675149 is | [
"A)69990",
"B)69993",
"C)70000",
"D)77000",
"E)78000"
] | B)69993 | aqua_rat |
d196be3a-b29e-4473-9666-a77502f50651 | In a workshop there are 4 kinds of beds, 2 kinds of closets, 2 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)72.",
"B)80.",
"C)56.",
"D)48.",
"E)16."
] | A)72. | aqua_rat |
032fa8b8-61b2-485f-95f8-9dd07f7ae09b | Find the largest number of four digits exactly divisible by 12,15,18 and 27. | [
"A)9770",
"B)9740",
"C)9780",
"D)9750",
"E)9720"
] | E)9720 | aqua_rat |
fad65954-ac46-4190-8121-e3fc60e1c90b | A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 52000, then the share of B is? | [
"A)2888",
"B)24000",
"C)27777",
"D)29997",
"E)27712"
] | B)24000 | aqua_rat |
6bbb6055-1b71-430a-a28f-70f9d876748a | The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is? | [
"A)299",
"B)277",
"C)112",
"D)750",
"E)123"
] | D)750 | aqua_rat |
f05ed86c-3d44-418c-8d92-a49e1f8ebcde | The perimeters of two squares are 40 cm and 24 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares . | [
"A)22 cm",
"B)24 cm",
"C)32 cm",
"D)28 cm",
"E)29 cm"
] | C)32 cm | aqua_rat |
016dbe5a-f97a-405f-8eaa-03c04d6c951f | The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%? | [
"A)16 2/3% profit",
"B)50/6% profit",
"C)16 2/3% loss",
"D)100/3% loss",
"E)120/3% loss"
] | C)16 2/3% loss | aqua_rat |
cd3309f9-61a0-499f-873f-213c43c00a61 | A coin is tossed live times. What is the probability that there is at the least one tail? | [
"A)31/32",
"B)31/35",
"C)31/31",
"D)31/36",
"E)31/37"
] | A)31/32 | aqua_rat |
401e2a39-d8e8-4795-9501-0ccdd7335761 | A man can row a boat at 18 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream? | [
"A)30/16 hours",
"B)80/13 hours",
"C)15/6 hours",
"D)30/13 hours",
"E)50/13 hours"
] | C)15/6 hours | aqua_rat |
1aac3a59-4dad-41a2-84d2-4874acefb6ad | The ratio of the first and second class fares between two stations is 3 : 1 and that of the number of passengers travelling between the two stations by the first and the second class is 1 : 50. If in a day, Rs. 1, 325 are collected from the passengers travelling between the two stations, then the amount collected from ... | [
"A)1,250",
"B)1,000",
"C)850",
"D)750",
"E)350"
] | A)1,250 | aqua_rat |
50347b82-f651-4345-9bb4-4c4aa2746363 | In a class, 5 people like baseball and football, 2 people only like baseball, 3 people only like football, and 6 people like neither. How many people are in the class? | [
"A)10",
"B)14",
"C)16",
"D)20",
"E)22"
] | C)16 | aqua_rat |
05d1f2da-6ec8-4a26-94cf-1681be3a34a2 | Mr. Sam's car gets him 50 miles per gallons of gas. If Mr Sam get a full tank with 14 gallons of gas, How far can Mr Sam go? | [
"A)52 miles",
"B)1400 miles",
"C)700 miles",
"D)1000 miles",
"E)100 miles"
] | C)700 miles | aqua_rat |
16a5ec4d-6b9a-4307-b7cc-1fed9d674681 | The least whole number which when subtracted from both the terms of the ratio 6 : 7 to give a ratio less than 16 : 21, is | [
"A)3",
"B)4",
"C)5",
"D)6",
"E)7"
] | A)3 | aqua_rat |
364dd706-553a-4ef4-a705-3f1ef2027f28 | In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race? | [
"A)50 sec",
"B)190 sec",
"C)287 sec",
"D)74 sec",
"E)697 sec"
] | B)190 sec | aqua_rat |
587666d2-288e-405a-a6be-696bd616971f | The length of a rectangle is increased by 35% and its breadth is decreased by 20%. What is the effect on its area? | [
"A)10800",
"B)1299",
"C)1000",
"D)10000",
"E)2887"
] | A)10800 | aqua_rat |
541161d5-9bcc-43a2-841b-274b48dae870 | If the average cost of a house was $50,000 in 1965 and was x in 2000, what was the average increase in home prices per year over this period? | [
"A)A)(x+50,000)/40",
"B)B)(x-50,000)/35",
"C)C)(50,000/40)+x",
"D)D)(50,000-x)/40",
"E)E)x/40"
] | B)B)(x-50,000)/35 | aqua_rat |
7a0f771f-9234-4fb1-968b-f7eb02334e8a | To mail a package, the rate is 10 cents for the first pound and 5 cents for each additional pound. Two packages weighing 5 pounds and 10 pounds, respectively can be mailed seperately or combined as one package. Which method is cheaper and how much money is saved? | [
"A)Combined, with a saving of 10 cents",
"B)Combined, with a saving of 15 cents",
"C)Separately, with a saving of 5 cents",
"D)Combined, with a saving of 5 cents",
"E)Separately, with a saving of 15 cents"
] | D)Combined, with a saving of 5 cents | aqua_rat |
2d88d86d-ffb9-44ed-8dff-55a04134d60f | A department of eight people - four men and four women - needs to send a team of five to a conference. If they want to make sure that there are no more than three members of the team from any one gender, how many distinct groups are possible to send? | [
"A)36",
"B)48",
"C)60",
"D)72",
"E)90"
] | B)48 | aqua_rat |
35a370fd-4401-40e0-83b4-906661337b2d | In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together. | [
"A)720",
"B)730",
"C)740",
"D)780",
"E)790"
] | A)720 | aqua_rat |
6f8afe20-f593-41e3-87d5-3468e93af98b | A certain number of badges were distributed among a class of students. The student who got 1/6th of the total number of badges actually got 5 times the average number of badges the others got! How many students were there in the class? | [
"A)30",
"B)26",
"C)11",
"D)31",
"E)32"
] | B)26 | aqua_rat |
6d73f51b-ca6d-42ea-9b76-d575ef309b60 | A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 5 employees to 3 different offices? | [
"A)243",
"B)245",
"C)45",
"D)121",
"E)11"
] | A)243 | aqua_rat |
91cad686-05d8-40a8-b9f4-cc7337dabf12 | Matt gets a $1,600 commission on a big sale. This commission alone raises his average commission by $150. If Matt's new average commission is $400, how many sales has Matt made? | [
"A)9",
"B)4",
"C)5",
"D)6",
"E)7"
] | A)9 | aqua_rat |
642fa3e0-a72a-433b-97ff-898469154a59 | Samantha's investment portfolio consists of three stocks: a railway, a bank, and a computer company. In the month of February, the price of the railway's stock rose by 10%, that of the bank decreased by 15% and that of the computer company also decreased by 15%, but the overall value of her portfolio increased. If Sama... | [
"A)$55, $85, $40",
"B)$65, $60, $60",
"C)$65, $55, $90",
"D)$25, $60, $70",
"E)$85, $25, $20"
] | E)$85, $25, $20 | aqua_rat |
b1444820-f605-4903-be2f-cd59594beb9e | A professional janitor can clean a certain high school in 8 hours, working at a constant rate. A student sentenced to detention can clean that same high school in (10+10) hours, also working at a constant rate. If the student is paid $7 total per hour and the janitor is paid $21 per hour, how much more would it cost th... | [
"A)-$56",
"B)-$6",
"C)$0",
"D)$6",
"E)$8"
] | E)$8 | aqua_rat |
332eb7d9-0b0b-45c4-8f70-219bdb50b926 | When m is divided by 9, the remainder is 8. When m is divided by 13, the remainder is 1. If 1 < m < 200, what is the greatest possible value of m? | [
"A)47",
"B)65",
"C)103",
"D)117",
"E)170"
] | E)170 | aqua_rat |
104dd4a5-0b91-44d1-b69f-216c72e39712 | a coffee seller has two types of coffee Brand A costing 5 bits per pound and Brand B costing 3 bits
per pound. he mixes two brands to get a 40 pound mixture. he sold this at 6 bits per pound. the seller gets a profit of 33 1/2 percent. how much he has used Brand A in the mixture? | [
"A)10",
"B)20",
"C)30",
"D)40",
"E)50"
] | C)30 | aqua_rat |
ec7cd32e-3add-4d82-a28e-34504ee7fa44 | Amanda goes to the toy store to buy 1 ball and 3 different board games. If the toy store is stocked with 3 types of balls and 6 types of board games, how many different selections R of the 4 items can Amanda make? | [
"A)9",
"B)12",
"C)14",
"D)15",
"E)60"
] | E)60 | aqua_rat |
946f0fef-4b8f-4208-af48-ba1420338f8f | A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 9.00 a.m. ? | [
"A)7",
"B)6",
"C)5",
"D)2",
"E)8"
] | C)5 | aqua_rat |
9319cd24-b5ec-4c64-b783-9a56dfaf164f | The compound interest earned on a sum for the second and the third years are $1200 and $1260 respectively. What is the rate of interest? | [
"A)5%",
"B)8%",
"C)11%",
"D)14%",
"E)18%"
] | A)5% | aqua_rat |
622251e4-969a-4b7c-a461-b3fe81e0b2de | A clock shows the time as 9 a.m. If the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 6 p.m.? | [
"A)30 min",
"B)35 min",
"C)45 min",
"D)50 min",
"E)55 min"
] | C)45 min | aqua_rat |
2d004153-9366-41fc-9557-9cfd36a52a1e | A coin is tossed 7 times. Find the probability of getting more heads than tails in all 7 tosses? | [
"A)1/2",
"B)63/128",
"C)4/7",
"D)61/256",
"E)63/64"
] | A)1/2 | aqua_rat |
5452145d-9497-496c-a348-89335b37558e | Working together at their respective constant rates, Machine A and Machine B can produce 900 units in 8 hours. Working alone, Machine B would complete that same output in 50% more time. If Machine A were to work on its own for an 8-hour shift, what percent of the 900 unit total would it produce? | [
"A)30",
"B)33",
"C)50",
"D)67",
"E)75"
] | A)30 | aqua_rat |
866925e5-97c1-49dc-862a-56e9ccaa6675 | Two stations P and Q are 110 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet? | [
"A)10.30",
"B)10",
"C)8.45",
"D)9.3",
"E)11"
] | B)10 | aqua_rat |
7ed112d3-7e09-42d7-836e-a1cb219e50e5 | A welder received an order to make a 1 million liter cube-shaped tank. If he has only 3x2 meter sheets of metal that can be cut, how many metal sheets will be required for this order? (1 cubic meter = 1,000 liters) | [
"A)100",
"B)90",
"C)82",
"D)78",
"E)75"
] | A)100 | aqua_rat |
c72145b5-0f0f-4c32-8b01-f4853a8b2f1d | The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the length and width of this rectangle. | [
"A)W = 15 and L = 20",
"B)W = 25 and L = 30",
"C)W = 35 and L = 40",
"D)W = 45 and L = 50",
"E)W =55 and L = 60"
] | A)W = 15 and L = 20 | aqua_rat |
bbdc5654-fb8a-4fd4-837f-87a025b07598 | In how many different number of ways 7 men and 2 women can sit on a shopa which can accommodate persons? | [
"A)17000",
"B)18000",
"C)15120",
"D)21000",
"E)23000"
] | C)15120 | aqua_rat |
83d8ec12-30ea-478c-bafb-bba77de5f4cd | Following an increase in prices, the price of a candy box was 15 pounds and the price of a can of soda was 6 pounds. If the price of a candy box was raised by 25%, and the price of a can of soda was raised by 50%. What was the price of a box of candy plus a can of soda before prices were raised? | [
"A)11.",
"B)12.",
"C)13.",
"D)14.",
"E)16"
] | E)16 | aqua_rat |
d3dfdae2-3f31-4045-af10-2452b02dbdf9 | If 183 is divisible by 11, find the value of the smallest natural no. N? | [
"A)5",
"B)7",
"C)9",
"D)10",
"E)12"
] | B)7 | aqua_rat |
c5edabb5-1b10-4b4d-b641-65cf30b912b8 | A’s speed is 20/12 times that of B. If A and B run a race, what part of the length of the race should A give B as a head start, so that the race ends in a dead heat? | [
"A)1/17",
"B)3/17",
"C)1/10",
"D)6/20",
"E)3/10"
] | D)6/20 | aqua_rat |
8b2110eb-b934-4336-961d-cfca5a6e49ad | If x is an odd integer, which of the following is an even integer? | [
"A)2x-x",
"B)x+1",
"C)2x+3",
"D)x^3",
"E)3x+2x"
] | B)x+1 | aqua_rat |
369b927a-e1bf-4d29-81bc-382261ea7b53 | Two trains 120 meters and 150 meters long are running in the same direction with speeds of 92 km/hr, 56km/hr. In how much time will the first train cross the second | [
"A)37 sec",
"B)22 sec",
"C)27 sec",
"D)35 sec",
"E)36 sec"
] | C)27 sec | aqua_rat |
f6804891-eb70-4017-a652-b03e1683ee64 | Two trains of length 150 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. In how much time will the trains cross each other? | [
"A)100/7 sec",
"B)80/7 sec",
"C)57/7 sec",
"D)110/7 sec",
"E)50/7 sec"
] | D)110/7 sec | aqua_rat |
ef1339bb-5e0d-4103-a8fe-2494c299dd40 | What is 0.05 percent of 12,356? | [
"A)0.6178",
"B)61.78",
"C)6.178",
"D)0.06178",
"E)0.006178"
] | C)6.178 | aqua_rat |
2f6e5afe-d4ac-4a3d-89a4-f53da51d4f26 | 1. Internet: $80, with no sales tax, plus $10 shipping fee
2. Store X: $90, a 10% discount, plus 10% tax on discounted price
3. Store Y: $90, no tax
4. Store Z: $90, a 20% sales tax, and $10 rebate after tax
Isaac can purchase a certain item in four different ways, as shown in the table. What is the lowest price for wh... | [
"A)88.1",
"B)89.0",
"C)89.1",
"D)89.5",
"E)90.0"
] | C)89.1 | aqua_rat |
2855d02a-67ff-47b0-9b24-f5c4e29c02d0 | Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 16, and 18 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their indiv... | [
"A) 4/11",
"B) 1/2",
"C) 15/22",
"D) 144/17",
"E) 11/4"
] | D) 144/17 | aqua_rat |
9335b96f-5920-4228-aaa6-75e132438123 | Sreenivas sells a table to Shiva at 10% profit and Shiva sells it to Mahesh at 10% loss. At what price did Sreenivas purchase the table if Mahesh paid Rs. 2376? | [
"A)2277",
"B)2400",
"C)2200",
"D)2766",
"E)2998"
] | B)2400 | aqua_rat |
e7824be2-566d-4fad-b883-90b24a36f9df | Three liquids were mixed in 5:4:1 ratios. If cost per kg for ach of them is 4.50,
3.75& 5.10. Then in what price mixture should be sold to get 25% profit? | [
"A)52.25",
"B)53.25",
"C)54.25",
"D)55.25",
"E)56.25"
] | B)53.25 | aqua_rat |
2838dfca-a7f9-4d2d-8f1d-f20147c4a678 | A committee is composed of w women and m men. If 4 women and 5 men are added to the committee, and if one person is selected at random from the enlarged committee, then the probability that a woman is selected can be represented by | [
"A)w/m",
"B)w/(w+m)",
"C)(w+4)/(m+5)",
"D)(w+4)/(w+m+5)",
"E)(w+4)/(w+m+9)"
] | E)(w+4)/(w+m+9) | aqua_rat |
5e332340-e085-4284-9336-1c324adfdb1b | Speed of trains A and B are 29 & 56 km/hr travelling in the same direction. Man in slower train passes in 16 min.
Find the length of the train.? | [
"A)100 m",
"B)110 m",
"C)120 m",
"D)220 m",
"E)130 m"
] | C)120 m | aqua_rat |
b9466331-5512-4b53-bd1a-5db13e7e7606 | A car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. If the car traveled 18 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city? | [
"A)14",
"B)16",
"C)21",
"D)32",
"E)48"
] | E)48 | aqua_rat |
5e837c8e-2ed8-4173-945c-755101380e47 | In what ratio must tea worth Rs. 60 per kg be mixed with tea worth Rs. 65 a Kg such that by selling
the mixture at Rs. 68.20 a Kg ,there can be a gain 10%? | [
"A)3 : 2",
"B)2 : 3",
"C)4 : 3",
"D)3 : 4",
"E)None of these"
] | A)3 : 2 | aqua_rat |
da6c6f9b-4b45-4647-8e03-e50522fa848d | The positive integer n is divisible by 16. If n√n is greater than 16, which of the following could be the value of n16? | [
"A)13",
"B)14",
"C)15",
"D)16",
"E)17"
] | E)17 | aqua_rat |
1ac04800-1dc2-4e19-b8a1-1bcc4aa35d27 | Z is a set of positive numbers. The median of Z is greater than the mean of Z. Which of the following T must be true?
I. At least 50% of the numbers in Z are smaller than the median.
II. Less than 50% of the numbers in Z are greater than the median.
III. The median of Z is greater than the average of the largest and sm... | [
"A)I only",
"B)II only",
"C)III only",
"D)I and III only",
"E)T=None of the above"
] | E)T=None of the above | aqua_rat |
8c52b53b-4f76-40e2-87aa-dac98dff9cc3 | An error 2.5% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is | [
"A)6.04%",
"B)5.14%",
"C)5.23%",
"D)5.0625%",
"E)5.5%"
] | D)5.0625% | aqua_rat |
578c7d95-4a43-4ac6-af72-8341c69234ea | Three unbiased coins are tossed. What is the probability of getting at most 2 heads? | [
"A)7/8",
"B)5/8",
"C)3/8",
"D)7/5",
"E)3/5"
] | A)7/8 | aqua_rat |
3a7ecf2c-43da-4344-a9b9-d9387647e9c7 | A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 878 in 4 years. The sum is: | [
"A)500",
"B)698",
"C)626",
"D)910",
"E)None"
] | C)626 | aqua_rat |
ddbda5b9-b16a-4f02-9c54-30c105b5f32f | A car covers a distance of 630 km in 6 hours. Find its speed? | [
"A)105",
"B)7778",
"C)266",
"D)288",
"E)121"
] | A)105 | aqua_rat |
bc6c1313-4653-4ece-a26e-58f420e45c55 | Express a speed of 90 kmph in meters per second? | [
"A)10 mps",
"B)76 mps",
"C)26 mps",
"D)97 mps",
"E)25 mps"
] | E)25 mps | aqua_rat |
a19923fd-0ef0-4b40-ba73-69b3136106de | An article is sold at a profit of 14%. If both the cost price and selling price are Rs 132 less, the profit would be 12% more. Find the cost price. | [
"A)Rs276",
"B)Rs268",
"C)Rs266",
"D)Rs286",
"E)Rs296"
] | C)Rs266 | aqua_rat |
e105391c-8457-4227-8240-a39c3dd6b787 | Roy is now 8 years older than Julia and half of that amount older than Kelly. If in 2 years, Roy will be three times as old as Julia, then in 2 years what would be Roy’s age multiplied by Kelly’s age? | [
"A)72",
"B)84",
"C)88",
"D)96",
"E)108"
] | D)96 | aqua_rat |
46364340-49fb-40e4-bf2c-6b87c9d7609e | Complete the sequence:
A D I P ? | [
"A)M",
"B)C",
"C)S",
"D)D",
"E)Y"
] | E)Y | aqua_rat |
78f9f1d7-cc96-43e6-9ff7-7fe357f907eb | A couple spent $158.40 in total while dining out and paid this amount using a credit card. The $158.40 figure included a 20 percent tip which was paid on top of the price which already included a sales tax of 10 percent on top of the price of the food. What was the actual price of the food before tax and tip? | [
"A)$115",
"B)$120",
"C)$125",
"D)$130",
"E)$135"
] | B)$120 | aqua_rat |
7cacfaf6-4a7e-4e02-96be-bc6e9f9d46e2 | Robert is travelling on his cycle andhas calculated to reach point A at 2 PM. if he travels at 10 kmph, he will reach there at 12Pm if he travels at 15 kmph. At what speed must he travel to reach A at 1 PM? | [
"A)8 kmph",
"B)9 kmph",
"C)12 kmph",
"D)14 kmph",
"E)16 kmph"
] | C)12 kmph | aqua_rat |
6f0aa9ca-6505-4ae7-97ee-0d5d7224a4e8 | Tom, working alone, can paint a room in 6 hours. Peter and John, working independently, can paint the same room in 3 hours and 8 hours, respectively. Tom starts painting the room and works on his own for one hour. He is then joined by Peter and they work together for an hour. Finally, John joins them and the three of t... | [
"A)7/15",
"B)11/25",
"C)17/35",
"D)23/45",
"E)27/55"
] | D)23/45 | aqua_rat |
c97dac2e-2480-44b1-9227-5ebf815ae011 | If Suresh distributes his pens in the ratio of 1/2 : 1/4 : 1/5 : 1/7 between his four friends A, B, C and D, then find the total number of pens Suresh should have? | [
"A)153",
"B)156",
"C)186",
"D)158",
"E)191"
] | A)153 | aqua_rat |
ed0169a6-2864-483c-8281-1fe2ac12f7ea | P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 60 days to complete the same work. then Q alone can do it in | [
"A)20",
"B)24",
"C)25",
"D)27",
"E)30"
] | B)24 | aqua_rat |
50b2e489-a918-44c8-a3a2-b37fb93ab1f1 | If a shopkeeper gets profit of 2% while selling a pair of shoes at $15. What is the cost price for that pair of shoes ? | [
"A)$14.60",
"B)$14.00",
"C)$14.50",
"D)$14.40",
"E)$14.70"
] | E)$14.70 | aqua_rat |
23274ffe-a7f6-4d20-a650-8e55b0f50a0b | 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 135 grams of water? | [
"A)120",
"B)116",
"C)112",
"D)108",
"E)104"
] | A)120 | aqua_rat |
c522048a-65b2-4e73-b726-540f6113765e | What is 995*995? | [
"A) 974,169",
"B) 974,219",
"C) 974,549",
"D) 985,019",
"E) 990,025"
] | E) 990,025 | aqua_rat |
a2d9c858-c822-40f9-baac-b1b17c822d78 | For the positive integers x, x + 2, x + 4, x + 7, and x + 17, the mean is how much greater than the median? | [
"A)0",
"B)1",
"C)2",
"D)4",
"E)7"
] | C)2 | aqua_rat |
30c7103e-3d70-4b71-9537-f4ff0fb15576 | The compound interest accrued on an amount of Rs.44000 at the end of two years is Rs.1193.60. What would be the simple interest accrued on the same amount at the same rate in the same period? | [
"A)Rs.10569",
"B)Rs.10522",
"C)Rs.10,560",
"D)Rs.10533",
"E)Rs.10584"
] | C)Rs.10,560 | aqua_rat |
7e428b41-f59d-4e4a-a3d9-b4d24759a9e6 | If the GCD of two numbers (both integers, greater than 1) is 1, then which of the following cannot be true?
A. They are prime.
B. They are consecutive.
C. They have a common prime factor.
D. They do not have a common factor other than 1. | [
"A)Only A",
"B)Only B",
"C)Only C",
"D)Only B and C",
"E)A, B, C, and D"
] | C)Only C | aqua_rat |
7141d1a6-e41a-4249-a36c-1d233b84ccb5 | In how many ways can the letters {U, U, U, R, R} be arranged? | [
"A)10",
"B)20",
"C)120",
"D)720",
"E)840"
] | A)10 | aqua_rat |
3da9f5c1-971b-4e80-94ef-8b96891358d3 | An article is bought for Rs.675 and sold for Rs.900, find the gain percent? | [
"A)33 1/8%",
"B)33 3/3%",
"C)33 1/3%",
"D)39 1/3%",
"E)33 4/3%"
] | C)33 1/3% | aqua_rat |
62e4c92e-eead-4838-8187-28d9ebce5079 | The average of first 10 natural numbers is? | [
"A)5.6",
"B)5.5",
"C)5.1",
"D)5.8",
"E)5.2"
] | B)5.5 | aqua_rat |
0c00911c-b357-412e-b924-88136067cc82 | The temperature of a certain cup of coffee 10 minutes after it was poured was 120 degrees Fahrenheit. If the temperature F of the coffee t minutes after it was poured can be determined by the formula F=120(2^-at) + 60, where F is in degrees Fahrenheit and a is a constant. Then the temperature of the coffee 40 minutes a... | [
"A)67.5",
"B)75",
"C)80",
"D)85",
"E)90"
] | A)67.5 | aqua_rat |
d734c45a-ce15-4316-923f-cd61402c0381 | Charlene's annual bonus is calculated in the following manner: Charlene receives 20 percent of her first $11,000 in sales and 30 percent of her sales in excess of $11,000. If Charlene received a bonus of $8,900, what were her annual sales? | [
"A)$ 20,000",
"B)$ 22,000",
"C)$ 24,000",
"D)$ 26,000",
"E)$ 28,000"
] | D)$ 26,000 | aqua_rat |
c94c159c-2438-421d-8bc3-c85ab928818c | Five drainage pipes, each draining water from a pool at the same constant rate, together can drain a certain pool in 12 days. How many additional pipes T, each draining water at the same constant rate, will be needed to drain the pool in 4 days? | [
"A) 6",
"B) 9",
"C) 10",
"D) 12",
"E) 15"
] | C) 10 | aqua_rat |
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