id string | question string | choices list | answer_key string | source string |
|---|---|---|---|---|
7763862b-85c9-4828-9c79-66ee82a2917d | In the coordinate plane, a triangle has vertices at (a,0), (b,0), and (x,y). If a>x>b>0>y, which of the following represents the area of that triangle? | [
"A)(ay−by)/2",
"B)(ab−ay)/2",
"C)(by−ay)/2",
"D)(ay+by)/x",
"E)(a−b)/2y"
] | C)(by−ay)/2 | aqua_rat |
c68ec302-5886-405b-8b47-b83b1530a491 | A car finishes a journey in 20 hours at the speed of 60 km/hr. If the same distance is to be covered in 10 hours, how much speed does the car gain? | [
"A)80 kmph",
"B)50 kmph",
"C)120 kmph",
"D)70 kmph",
"E)80 kmph"
] | C)120 kmph | aqua_rat |
649e5d49-714b-4da4-b060-3a0911e3afac | Three friends Alan, Roger and Peter attempt to answer a question on an exam. Alan randomly guesses the answer, giving him a 1/5 probability of guessing correctly. Roger cheats by looking at the paper of the student in front of him, giving him a 2/3 probability of answering correctly. And Peter dutifully performs the calculations, then marks the answer, giving him a 5/6 probability of a correct answer. What is the probability that the question is answered correctly, but not via cheating? | [
"A)1/18",
"B)1/9",
"C)23/90",
"D)5/18",
"E)13/45"
] | A)1/18 | aqua_rat |
324c7cc8-1dce-47c6-b6c8-c48dd93e102a | The difference between simple interest and C.I. at the same rate for Rs.5000 for 2 years in Rs.72. The rate of interest is? | [
"A)10%",
"B)12%",
"C)6%",
"D)8%",
"E)4%"
] | B)12% | aqua_rat |
8ac06f23-efe0-4ba7-9d8c-e88e7677b90f | All 250 files on Sam's hard drive are infected by either a virus or a worm or both. The number of files that are infected only by a worm is 2.5 times the number of files that are infected by both a virus and a worm. If 50% of the files were not infected by a virus, how many of Sam's files were NOT infected by a worm? | [
"A)50",
"B)70",
"C)75",
"D)100",
"E)125"
] | C)75 | aqua_rat |
27b48cc0-8cdc-4df8-a045-1d44fd518bd0 | A father wants to divide Rs. 5100 between his two sons, Mohan and Sohan who are 23 and 24 at present. He divides the amount in such a way that if their shares are invested at compound interest at 4% p.a. they will receive equal amount on attaining the age of 26 years. Find Mohan's share. | [
"A)2400",
"B)2500",
"C)2600",
"D)2700",
"E)None of these"
] | B)2500 | aqua_rat |
62492fc5-3ed7-4c3c-9104-6c6c814d5691 | What is 60% of 30% of 1400 grams? | [
"A)450 gms",
"B)100 gms",
"C)252 gms",
"D)240 gms",
"E)None of these"
] | C)252 gms | aqua_rat |
b3df0bf3-843f-45df-9a94-4f0d8144dd1b | A certain liquid passes through a drain at a rate of w/25 gallons every x seconds. At that rate, how many minutes will it take y gallons to pass through the drain? | [
"A)y/(1200xy)",
"B)20xy/w",
"C)5xy/(12w)",
"D)w/(3xy)",
"E)3y/(wx)"
] | C)5xy/(12w) | aqua_rat |
9658b991-16a6-41a7-a037-134921a90105 | A coin made of alloy of aluminum and silver measures 2 x 15 mm (it is 2 mm thick and its diameter is 15 mm). If the weight of the coin is 30 grams and the volume of aluminum in the alloy equals that of silver, what will be the weight of a coin measuring 1 x 30 mm made of pure aluminum if silver is twice as heavy as aluminum? | [
"A)36 grams",
"B)40 grams",
"C)42 grams",
"D)48 grams",
"E)50 grams"
] | B)40 grams | aqua_rat |
ef46590c-5aca-4b7a-b926-535009920c5d | If 10 is subtracted from 2/3 of a number the result is equal to sum of 40 and 1/3 of the number. Find the number | [
"A)100",
"B)160",
"C)150",
"D)210",
"E)220"
] | C)150 | aqua_rat |
426819d7-940c-40b3-af11-64d4217f46b7 | What is the largest integral value of 'k' for which the quadratic equation x2 - 5x + k = 0 will have two real and distinct roots? | [
"A)9",
"B)7",
"C)3",
"D)8",
"E)12"
] | C)3 | aqua_rat |
101cd017-e286-46c8-9d35-211cb9cadeb3 | 900 + 5 × 12 = ? | [
"A)820",
"B)202",
"C)420",
"D)209",
"E)960"
] | E)960 | aqua_rat |
d1ddc653-8ba4-42f0-bca4-06d97d0ed16e | Shweta rides at the rate of 10 km per hour but stops for 10 minutes to take rest at the end of every 15 km. How many hours will she take to cover 100 km | [
"A)9 hours.",
"B)10 hours.",
"C)11 hours.",
"D)12 hours.",
"E)13 hours."
] | C)11 hours. | aqua_rat |
f6fd286e-0755-42f9-9910-d10f0ed5b1ce | Mr.Sam takes 17 hours to go by train to a certain city and return by car. He loses 4 hours if he goes both ways by train. How long would he have taken if he had traveled by car in both ways? | [
"A)22 hrs",
"B)18 hrs",
"C)16 hrs",
"D)20 hrs",
"E)13 hrs"
] | E)13 hrs | aqua_rat |
649950b0-023a-4177-a7e8-12ff67c6d76c | Jim filled his dog's bowl with dog food. Starting at 8:00 am, Jim's dog ate exactly once an hour, consuming exactly 1/3 of the dog food remaining in the bowl at each feeding session. Approximately, what percent of the original food was in the dog's bowl right before the dog began to eat at noon of the same day? | [
"A)20%",
"B)25%",
"C)30%",
"D)35%",
"E)40%"
] | A)20% | aqua_rat |
2e578a2f-fe0f-4279-ab1a-e9c75a3420b3 | John conducted a survey about car color. 60% of the people who took the survey were women. Of the men who were surveyed, 75% preferred red cars over green cars. If 10 men liked green cars more than red, how many people took the survey? | [
"A)100",
"B)120",
"C)50",
"D)200",
"E)80"
] | A)100 | aqua_rat |
ab18ed6a-dfd4-40cd-95a6-3221485f5563 | How many ways A boy can reach the top of stairs which contain 10 steps, when he can take either one or two steps every time? | [
"A)88",
"B)89",
"C)90",
"D)91",
"E)92"
] | B)89 | aqua_rat |
59263b2f-d8f0-49df-97cd-487ad7f27c98 | IF one gallon of soft drink is made of 40% orange juice and 60% water, how many additional gallons of orange juice must be mixed in order to make the orange juice 60% of the soft drink? | [
"A)0.5",
"B)1",
"C)1.25",
"D)1.5",
"E)2"
] | A)0.5 | aqua_rat |
7ca9ae0f-b8cc-463d-8a26-660d68ef76e2 | What is the units digit of 9^3-7? | [
"A)1",
"B)3",
"C)5",
"D)2",
"E)4"
] | D)2 | aqua_rat |
1c9f929e-5a75-4238-87fa-e1f381a4b712 | 5 horses are in a race. Mr.Jain selects two of horses at random and bets on them. The probability that he selected the winning horse is | [
"A)1/5",
"B)2/5",
"C)3/5",
"D)4/5",
"E)6/5"
] | B)2/5 | aqua_rat |
c9995534-849d-4887-a2f6-e022c7081064 | On dividing 2272 and 875 by a 3-digit number N, we get the same remainder. The sum of the digits of N is: | [
"A)10",
"B)11",
"C)12",
"D)13",
"E)14"
] | A)10 | aqua_rat |
c4a3e60e-c043-4dbe-8c21-6f4435ee7518 | On a test the passing students had an average of 83, while the failing students had an average
of 55. If the overall class average was 76, what percent of the class passed? | [
"A)44%",
"B)66%",
"C)68%",
"D)72%",
"E)75%"
] | E)75% | aqua_rat |
6aa21c0e-04b9-41d9-aa1d-04180f241c49 | The average wages of a worker during a fortnight comprising of 15 consecutive working days was $90 per day. During the first 7 days, his average wage was $87 per day and the average wage during the last 7 days was $92 per day. What was his wage on the 8th day? | [
"A)$83",
"B)$92",
"C)$90",
"D)$97",
"E)$104"
] | D)$97 | aqua_rat |
41c69584-9a67-4b4d-a6e9-955022875590 | Two numbers are in the ratio 3:5. If 9 is subtracted from each, the new numbers are in the ratio 12:23. The smaller number is? | [
"A)21",
"B)33",
"C)35",
"D)42",
"E)58"
] | B)33 | aqua_rat |
ebd1f29d-7d5f-4560-a0ca-96e2f1eee7d5 | If 6 yrs are subtracted from the present age of Ajay and the remainder is divided by 18, then the present age of Rahul is obtained. If Rahul is 2 yrs younger to Denis whose age is 5 yrs, then what is Ajay's present age? | [
"A)40",
"B)60",
"C)70",
"D)80",
"E)90"
] | B)60 | aqua_rat |
0b7473d3-020f-41a3-89de-e66945a341ba | Anna has 4 books. If she decide to arrange the 4 books in every possible combination and moved just one book every minute, how long would it taken by her ? | [
"A)22 minutes",
"B)30 minutes",
"C)15 minutes",
"D)24 minutes",
"E)35 minutes"
] | D)24 minutes | aqua_rat |
4afbcc66-6475-4de1-bae1-9f0135d77125 | The manufacturer of tyres is offering a 20% discount on the price of its tubeless tyres. Some retailers are offering additional discounts. If a retailer offers an additional 20% discount, then what is the total discount available at that retailer? | [
"A)10%",
"B)25%",
"C)28%",
"D)30%",
"E)36%"
] | E)36% | aqua_rat |
ae941c8d-c151-43d6-bdd0-e3f8672bda8e | A rectangular parking space is marked out by painting three of its sides. If the length of the unpainted side is 9 feet, and the sum of the lengths of the painted sides is 37 feet, then what is the area of the parking space in square feet? | [
"A)46",
"B)81",
"C)126",
"D)252",
"E)None"
] | C)126 | aqua_rat |
d7541952-c3be-4ecc-b12a-093b2fe07ccf | Peter wants to find 10 additional people to form a scavenger hunt team with him. If he has 10 friends who would like to participate, how many choices does he have for forming his team? | [
"A)0",
"B)1",
"C)2",
"D)3",
"E)4"
] | B)1 | aqua_rat |
5183875f-bac0-40d0-984b-6be3111bc2cf | The average weight of 10 oarsmen in a boat is increased by 1.8 kg when one of the crew, who weighs 53 kg is replaced by a new man. Find the weight of the new man. | [
"A)71",
"B)62",
"C)43",
"D)67",
"E)40"
] | A)71 | aqua_rat |
07000e77-333f-4826-8c06-691a60bc304d | A box contains a certain number of balls, marked successively from 1 to n. If there are 45 different ways that two balls can be selected from the box such that the ball with number 3 marked on it is not selected, then what is the value of n? | [
"A)11",
"B)10",
"C)9",
"D)8",
"E)7"
] | A)11 | aqua_rat |
224af8b1-70ff-4cea-8f55-cebb0fa63ab7 | If Q, a positive integer, has 5 factors, which of the following must be true about Q?
I. Q is the square of a prime number.
II. Q is the fourth power of a prime number.
III. Q is the product of two prime numbers. | [
"A)I only",
"B)III only",
"C)II only",
"D)I and II only",
"E)I and III only"
] | B)III only | aqua_rat |
22c5d42d-b36c-4b1c-9130-4be9405dd2c6 | If 6x - y = 24 and y = 3x, what is the value of x? | [
"A)8",
"B)9",
"C)10",
"D)11",
"E)12"
] | A)8 | aqua_rat |
83327c8a-c646-445a-9d38-656a6449d287 | You can rent DVDs at a local video store for $4.00 per movie without a membership. However, if you purchase a membership for $7.00 per month, you can rent DVDs for $2.00 each. What is the minimum amount of DVDs you would have to rent to make it worth it to purchase the membership? | [
"A)1",
"B)2",
"C)3",
"D)4",
"E)5"
] | D)4 | aqua_rat |
2106608b-d44d-4f0b-ae11-23dc610b11c7 | A bag of cat food weighs 7 pounds and 4 ounces. How much does the bag weigh in ounces? | [
"A) 108",
"B) 112",
"C) 116",
"D) 120",
"E) 124"
] | C) 116 | aqua_rat |
44c54d3d-775e-44bb-ba53-08fdd77591b1 | By himself, Jack can clean a yacht in 12 hours. On a particular day, he happens to finish two-thirds of the work. The remaining portion of the work is done by Jill, whose rate of cleaning is just 5% of what Jack can do. How long does it take Jill to finish the remaining work? | [
"A)4",
"B)8",
"C)22",
"D)50",
"E)20"
] | E)20 | aqua_rat |
d0b3bb07-16b4-44a5-8e51-00ae63cebe2c | Professors borrowed Rs. 5000 from the university at simple interest. After 3 years, the university got Rs. 300 on interest. What was the rate of interest per annum? | [
"A)2%",
"B)8%",
"C)5%",
"D)10%",
"E)None of these"
] | A)2% | aqua_rat |
03e8acea-a9a3-43a3-ab9e-922c2bafb5d5 | In a sale, a discount of 20% was available on all the articles. If Vinit purchased an article for Rs.4578 in the sale. What was the actual selling price of the article? | [
"A)s.5050",
"B)s.5723",
"C)s.5040",
"D)s.4950",
"E)s.4870"
] | B)s.5723 | aqua_rat |
c07e84ce-ec99-4ebf-8b5e-1cd610b0a8b5 | If 27 bottles of soda cost A cents, how much will B bottles cost in dollars? | [
"A)AB/2700",
"B)27/AB",
"C)AB/270",
"D)2700/AB",
"E)100AB/27"
] | A)AB/2700 | aqua_rat |
4edca70a-9543-4424-ba02-1e7443f76fc6 | A bag contains 11 candy bars: three cost 50 cents each, four cost $1 each and four cost $2
each. How many ways can 3 candy bars be selected from the 11 candy bars so that the total cost is more than $4? | [
"A)8",
"B)28",
"C)46",
"D)66",
"E)70"
] | C)46 | aqua_rat |
89c514ff-100b-4f56-a08d-7538d0543f7c | At a conference, one team is made up of 4 men and 4 women. Four presenters are chosen to present the team's findings in front of the entire conference. How many different groups of presenters can be chosen from the team if a team cannot be composed of men only or women only? (Two groups of presenters are considered different if at least one presenter is different.) | [
"A)120",
"B)19",
"C)180",
"D)420",
"E)460"
] | B)19 | aqua_rat |
89d16e4a-ff95-4adf-90b9-4fabe0ac4eed | Exactly 2/5th of the children in a certain class are girls. If there are 100 boys in the class, how many girls are in the class? | [
"A)50",
"B)100",
"C)150",
"D)200",
"E)70"
] | C)150 | aqua_rat |
19a84afb-a0f3-4e6d-b341-315d10e4e844 | Two numbers are said to be relatively prime if they share no common positive factors other than 1. Set S contains the set of integers from 1 to 1,000, inclusive. What is the probability that a number chosen from S is relatively prime to 1,000? | [
"A)5/7",
"B)3/5",
"C)4/7",
"D)2/5",
"E)2/7"
] | D)2/5 | aqua_rat |
eae6ef83-d570-4efd-a121-cf8129dc72e4 | At the of his one-year investment, Charles received $54,080, including interest and principal from a certain investment. If the investment paid an annual interest of 8 percent compounded semi-annually, which of the following is the amount of money that Charles originally invested? | [
"A)$45,000",
"B)$50,000",
"C)$54,000",
"D)$59,000",
"E)$62,000"
] | B)$50,000 | aqua_rat |
9a100945-c0ad-4c37-bd12-d669f2d252fe | Joe's age, Joe's sister's age and Joe’s fathers age sums up to 100. When Joe is as old as his father, Joe's sister will be twice as old as now. When Joe is as old as his father then his father is twice as old as when his sister was as old as her father. Find the age of Joe's father? | [
"A)45",
"B)48",
"C)50",
"D)55",
"E)58"
] | C)50 | aqua_rat |
9547b6ef-23c6-436a-a980-4146b0766d39 | If one third of 3/4 of a number is 21. Then, find the number? | [
"A)84",
"B)66",
"C)28",
"D)19",
"E)11"
] | A)84 | aqua_rat |
8064b70a-0074-462d-85a0-eb1f1d0e9a06 | If m > 0, y > 0, and x is m percent of 4y, then, in terms of y, m is what percentage of x? | [
"A)y/400",
"B)4y",
"C)50y",
"D)2500/y",
"E)5000/y"
] | D)2500/y | aqua_rat |
1a2feee2-f2ae-4584-960d-4d154467d11e | A man wants to eat fruit for breakfast and vegetable for dinner. He has 6 different types of fruit and 8 different types of vegetables. He can only eat one type at a time. In how many ways can he eat breakfast and dinner. | [
"A)54",
"B)24",
"C)48",
"D)20",
"E)36"
] | C)48 | aqua_rat |
00561425-60fa-4f70-9359-682ca5417806 | There is a 90% chance that a registered voter in Burghtown voted in the last election. If five registered voters are chosen at random, what is the approximate likelihood that exactly four of them voted in the last election? | [
"A)26.2%",
"B)32.8%",
"C)43.7%",
"D)59.0%",
"E)65.6%"
] | E)65.6% | aqua_rat |
4c00e3ee-afaa-464f-a5af-078a8ead7730 | Alice wants to put up fencing around three sides of her rectangular yard and leave one side of 10 meters unfenced. If the yard has an area of 240 square meters, how many meters of fencing does she need? | [
"A)58",
"B)62",
"C)66",
"D)70",
"E)74"
] | A)58 | aqua_rat |
fbc97c3b-9c64-46cc-a02e-0b7b729f2409 | John would make the 3-letter codes with diffenrent 5 vowels and 20 consonants with the condition that the middle letter must be vowel and the first letter and the third letter must be different from each other and are both consonant. How many different codes can be made? | [
"A)1,980",
"B)2,020",
"C)2,100",
"D)2,200",
"E)1,900"
] | E)1,900 | aqua_rat |
bdbc5f9e-c75c-443e-8969-e4a04ccafd0c | What is the sum of three consecutive integers whose product can be expressed as 727+728+729. | [
"A)37",
"B)38",
"C)36",
"D)30",
"E)39"
] | E)39 | aqua_rat |
49e6c216-b21d-4a19-96be-dbbd29441f28 | The capacity of a tank of dimensions (8 m × 6 m × 2.5 m) is | [
"A)120 litres",
"B)1200 litres",
"C)12000 litres",
"D)120000 litres",
"E)None of these"
] | D)120000 litres | aqua_rat |
86688102-feb9-4f99-84d1-036e7915776a | The population of a city is 5265526. If there are 4169516 adults in the city, how many children are there in the city? | [
"A)1095961",
"B)1065961",
"C)1085961",
"D)1097961",
"E)1096061"
] | E)1096061 | aqua_rat |
3e98582c-0103-427b-a8d1-e59abe401ae9 | It takes a worker 9 minutes to drive from home to work at an average rate of 20 kilometers per hour. How many minutes will it take the worker to cycle from home to work along the same route at an average rate of 6 kilometers per hour? | [
"A)30",
"B)32",
"C)35",
"D)36",
"E)40"
] | A)30 | aqua_rat |
5e9d8651-4a2f-4e38-b9ec-886662308f77 | Two friends are eating a jar full of candies. Had P eaten alone, it would have taken him 10 minutes to finish the candies in the jar. Had Q eaten alone, it would have taken her 5 minutes to finish half the jar. Since both of them are eating simultaneously, how many minutes would it take them to empty the jar? | [
"A)4",
"B)5",
"C)6",
"D)7",
"E)8"
] | B)5 | aqua_rat |
99cb5e24-55e6-4b52-b906-d33d5e31a489 | A grocery sells a bag of ice for $1.25, and makes 20% profit. If it sells 500 bags of ice, how much total profit does it make? | [
"A)125",
"B)150",
"C)225",
"D)250",
"E)275"
] | A)125 | aqua_rat |
042e95ec-7461-4323-9ee6-458f69e8549d | Three birds are flying at a fast rate of 900 kilometers per hour. What is their speed in miles per minute? [1km = 0.6 miles] | [
"A)32400",
"B)6000",
"C)600",
"D)60000",
"E)10"
] | A)32400 | aqua_rat |
f8fe82a7-7693-432d-85cb-8d8d348e10fa | A ship is leaving a port. It takes 240 seconds to passes through a 750m channel to get to the port gates, and takes 60 seconds to pass through the gates of the port. What is its length? | [
"A)100 m",
"B)150 m",
"C)200 m",
"D)250 m",
"E)300 m"
] | D)250 m | aqua_rat |
5dbb77dc-597a-497f-8517-49e19c075e7f | A rectangular piece of cloth 2 feet wide was cut lengthwise into two smaller rectangular pieces. The shorter piece was one-third of the length of the longer of the 2 new pieces and had an area of 12 square feet. What was the length Q in feet of the original piece of cloth before cutting? | [
"A)6",
"B)18",
"C)24",
"D)36",
"E)48"
] | C)24 | aqua_rat |
74262def-afd8-4e11-a0d1-30d864737a76 | In the xy-coordinate plane, which of the following points must lie on the line kx + 2y = 6 for every possible value of k? | [
"A)(1,1)",
"B)(0,3)",
"C)(2,0)",
"D)(3,6)",
"E)(6,3)"
] | B)(0,3) | aqua_rat |
d47717fb-4278-423f-a13e-a3d5f2bec148 | A travel company wants to charter a plane to the Bahamas. Chartering the plane costs $5,000. So far, 12 people have signed up for the trip. If the company charges $200 per ticket, how many more passengers must sign up for the trip before the company can make any profit on the charter? | [
"A)7",
"B)9",
"C)13",
"D)27",
"E)45"
] | C)13 | aqua_rat |
9c367076-b3d5-4643-b430-51cab0b5de0f | Kirk sells cars. On two sales, Kirk has received commissions of $850, and $705, and he has one additional sale pending. If Kirk is to receive an average (arithmetic mean) commission of exactly $820 on the three sales, then the third commission must be: | [
"A)$895",
"B)$905",
"C)$910",
"D)$915",
"E)$945"
] | B)$905 | aqua_rat |
80d1e6a1-6620-4b12-b712-c3c5d687e6b7 | A group of 5 friends were to contribute equally to purchase items from a store. If store offered them a promotional discount of 15%, how much did each friend pay, given a total bill of $ 1200? | [
"A)$203",
"B)$202",
"C)$209",
"D)$205",
"E)$204"
] | E)$204 | aqua_rat |
a28f56b1-79d5-4ffe-a447-0628b8b84150 | Let A, B and C denote the vertices of a triangle with area 10. Let point D be on side AB,
point E be on side BC and point F be on side CA with AD = 2 and DB = 3. The area of
△ABE and the area of quadrilateral DBEF are the same. What is the value of this area? | [
"A)5.5",
"B)6",
"C)7",
"D)8",
"E)8.25"
] | B)6 | aqua_rat |
ed003b54-2362-43c3-84ed-88c0995a1a3e | ABC company pays an average of $120 per vehicle each month in outdoor parking fees for three of its eight vehicles. The company pays garage parking fees for the remaining five vehicles. If ABC pays an average of $240 per vehicle overall each month for parking, how much does ABC pay per month in garage parking fees for its vehicles? | [
"A)300",
"B)420",
"C)912",
"D)1340",
"E)1500"
] | D)1340 | aqua_rat |
1e151113-d13a-45e2-a7ff-7639dfdaf551 | Solution A has 5% salt concentration and remaining water. After heating 50 litres of Solution A at a certain temperature, due to evaporation, the salt concentration increases to 10%. The amount of water remaining in the solution would be | [
"A)30 litres",
"B)27 litres",
"C)25 litres",
"D)22.5 litres",
"E)20 litres"
] | D)22.5 litres | aqua_rat |
b95dd31b-4d44-40be-b579-974b427b88ce | If a number of apples, say x, is divisible by 3 and 9, x is a multiple of which of the following values? | [
"A)15",
"B)27",
"C)14",
"D)12",
"E)20"
] | B)27 | aqua_rat |
1759feca-bf43-48d5-a3c9-dea609fecc74 | In how many arrangements can you arrange 3 green cones and 3 blue cones in a line along the boundary of football ground if no two cones of the same color are to be adjacent? | [
"A)6",
"B)12",
"C)36",
"D)72",
"E)144"
] | D)72 | aqua_rat |
de332d4b-fd61-4433-ad17-3d8acb9d773e | In a mixture, the ratio of spirit and water is 3:2. If the amount of spirit is 3 litre more than amount of water, calculate the amount of spirit in mixture? | [
"A)8",
"B)9",
"C)10",
"D)11",
"E)12"
] | B)9 | aqua_rat |
f966634e-01d3-4b87-976e-0d3e73fd0488 | A car traveled 40 mph from Belnap to Lincoln and 50 mph from Lincoln to Belnap. If the whole trip was 660 miles, how long did the round trip take? | [
"A)6 hours",
"B)14.85 hours",
"C)12.1 hours",
"D)13.2 hours",
"E)24.2 hours"
] | B)14.85 hours | aqua_rat |
b97b74c7-479f-48cb-ac6c-c8d4d65e5922 | In a certain conservative mutual fund, 60 percent of the money is invested in bonds, and of that portion, 40 percent is invested in highly rated corporate bonds. If at least $2.4 million in this fund is invested in highly rated corporate bonds, what is the smallest possible total value for the mutual fund? | [
"A)12 million",
"B)10 million",
"C)14 million",
"D)16 million",
"E)18 million"
] | B)10 million | aqua_rat |
dcba2aaf-d316-441f-b4d8-efab49e45b84 | A certain state imposes a 4% tax on the nightly rates of hotel room. A certain hotel in this state also charges a $2.00 nightly fee per room, which is not subject to tax. If the total charge for a room for one night was $72.72 , what was the nightly rate of the room? | [
"A)$68.00",
"B)$69.00",
"C)$70.00",
"D)$71.00",
"E)$72.00"
] | A)$68.00 | aqua_rat |
5fcd79c3-576a-46ab-9511-02d4a8fba514 | Alex has enough money to buy 30 bricks. If the bricks each cost 20 cents less, Grace could buy 10 more bricks. How much money does Grace have to spend on bricks? | [
"A)30",
"B)32",
"C)42",
"D)45",
"E)36"
] | B)32 | aqua_rat |
12d553ff-3332-485e-a50f-ec2b9ea7ed5e | In a poll of 45,000 dentists, only 30 percent responded; of these, 20 percent claimed to prefer Toothpaste A. How many of the dentists who responded did not claim a preference for Toothpaste A? | [
"A)2,200",
"B)2,640",
"C)6,160",
"D)8,800",
"E)10,800"
] | E)10,800 | aqua_rat |
4ac6d6be-eaae-420a-a630-13c8d4df7b6d | In recent Malta elections, in a particular constituency, 100,000 votes were cast and each vote was cast for
either Candidate A or Candidate B. If candidate A has won by 500 votes, what percent of the 100,000 votes
were cast for Candidate A? | [
"A)50.05%",
"B)50.25%",
"C)50.5%",
"D)51%",
"E)52.5%"
] | B)50.25% | aqua_rat |
5b6a736e-1ec1-4b37-b9c8-8bf88ba34a47 | Glenn gains 10% from selling her scarf at $44. Her mom tells her she'll buy it from her but only after a family discount of 5%. What is Glenn's gain percent if she sells the scarf to her mom? | [
"A)5%",
"B)4.5%",
"C)4%",
"D)2%",
"E)No gain"
] | B)4.5% | aqua_rat |
e2b791c6-9594-424e-beb8-a35a9c45cafe | A trader bought some books for Rs 8 each. The wholesaler gave 15% discount on each of the books. If the discount amount deducted on the bill was Rs 216, how many books did he buy? | [
"A)180",
"B)190",
"C)140",
"D)150",
"E)None of these"
] | A)180 | aqua_rat |
8a1fc6af-6981-4b21-8673-1f74262028b2 | Elliot has $1500 to buy a new laptop. His father gave him another $600 for a better model. Elliot saw a new mobile and he decided to by it for 400$. Also, he bought a laptop for $1300
How much money had Elliot left with? | [
"A)$200",
"B)$400",
"C)$300",
"D)$500",
"E)$800"
] | B)$400 | aqua_rat |
b64d754f-7e57-4a4a-abc1-414a2250c82d | Bill's shop sells candy bars by the full case. 80% of a full case is added to 96 candy bars already in the case to fill it. How many candy bars are in a full case? | [
"A)500 candy bars",
"B)450 candy bars",
"C)510 candy bars",
"D)375 candy bars",
"E)480 candy bars"
] | E)480 candy bars | aqua_rat |
af8ea204-b37b-452d-9394-252b3e533ab0 | Lucy has enough money to go to Canada every 6 years, while Luke has enough to go every 9 years. If they pool their money, how often can they go? | [
"A)2 times per year",
"B)once every 15 years",
"C)5 times every 18 years",
"D)15 times a year",
"E)once every 7.5 years"
] | B)once every 15 years | aqua_rat |
f5c2bb2c-4179-4368-9819-cfba4cb7c0db | A group of stock analysts had a contest. Each analyst picked 5 stocks out of a list of 30 stocks to purchase. If each of the stocks was picked exactly 6 times, how many analysts were in the contest? | [
"A)25",
"B)32",
"C)36",
"D)40",
"E)60"
] | C)36 | aqua_rat |
c64a80d4-cd7c-4ebe-8e9c-dbac428d9feb | Which is a longer period of time: 3 hours or 175 minutes? | [
"A)1hours",
"B)2hours",
"C)3hours",
"D)175 minutes",
"E)60minutes"
] | C)3hours | aqua_rat |
6a9fbcf4-01ab-4eb7-bca4-378570c041a3 | The root(s) of 15/(x2 - 4) – 2/(x - 2) = 1 is (are): | [
"A)-5 and 3",
"B)± 2",
"C)2 only",
"D)-3 and 5",
"E)3 only."
] | A)-5 and 3 | aqua_rat |
4f3eb6a8-e3b2-40fc-b03b-5eab7ab662b2 | A farming field can be ploughed by 6 tractors in 4 days. When 6 tractors work together, each of them ploughs 120 hectares a day. If two of the tractors were moved to another field, then the remaining 4 tractors could plough the same field in 5 days. How many hectares a day would one tractor plough then? | [
"A)324",
"B)377",
"C)136",
"D)144",
"E)222"
] | D)144 | aqua_rat |
b9b85e63-4372-4e3f-9b82-cb2f5edf5ecc | On sports day, if 24 children were made to stand in a column, then 10 columns could be formed. If 240 children were made to stand in a column, then how many columns could be formed? | [
"A)20",
"B)40",
"C)60",
"D)80",
"E)100"
] | E)100 | aqua_rat |
ed1fdbe8-966f-455b-83cb-5df81e676e82 | The salaries of Kiran, Prakash and Sanjay are in the ratio of 2 : 3 : 4. The salary of Prakash and Sanjay together is Rs. 56000. The manager plans to increment the salary of Prakash from his current package and does so by increasing his salary so that it is 1 rupee more than that of Sanjay. Now, if Kiran wishes to demand a salary that will surpass Prakash's by 1 Rupee, how much he should demand ? | [
"A)Rs.16002",
"B)Rs.16004",
"C)Rs.16015",
"D)Rs.16001",
"E)Rs.16101"
] | A)Rs.16002 | aqua_rat |
42503e06-b636-41a1-be3d-91d249fa895a | A wholesaler allows a discount of 20 % on the list price to the retailer. The retailer sells at 5% below the list price. If the customer pays Rs.19 for an article what profit is made by the retailer on it? | [
"A)Rs.2",
"B)Rs.3",
"C)Rs.4",
"D)Rs.4.5",
"E)Rs.5.5"
] | B)Rs.3 | aqua_rat |
e39cc442-c7c4-4eb4-935e-e85baa74dd4a | A cube shaped pool is half full of water. If the water is 36 inches deep, how much would the
water in the pool weigh if the pool were filled to the brim? (1 cubic foot weighs 56 pounds) | [
"A)22,096 pounds of water",
"B)12,096 pounds of water",
"C)52,096 pounds of water",
"D)42,096 pounds of water",
"E)35,096 pounds of water"
] | B)12,096 pounds of water | aqua_rat |
d5b25462-c490-4e65-84d4-51653e656b3e | A car after covering 1/2 of a journey of 100 km develops engine trouble and later travels at 1/2 of its original speed. As a result, it arrives 2 hours late than its normal time. What is the normal speed of the car is? | [
"A)8",
"B)6",
"C)1",
"D)2",
"E)9"
] | D)2 | aqua_rat |
1583313e-58c9-4b65-b4ad-ac46ef35f902 | A sphere is surrounded by the smallest cylinder that will just contain it. Which of following is a complete set of the points where the cylinder touches the sphere?
I. One point,
II. Two points,
III. A Circle | [
"A)I only",
"B)II only",
"C)III only",
"D)I & III",
"E)II & III"
] | E)II & III | aqua_rat |
406a9180-28ec-4896-aead-097085386c4e | At an elite baseball camp, 60% of players can bat both right-handed and left-handed. If 1/3 of the players who bat left-handed do not bat right-handed, what is the probability that a player selected at random does not bat left-handed? | [
"A)10%",
"B)20%",
"C)25%",
"D)30%",
"E)40%"
] | A)10% | aqua_rat |
627ccb9a-0653-46d5-a0d1-909dfb742a47 | One person has 2 children. At least one of them was a girl. Then the probability that 2 of the are girl is_____ | [
"A)1/2",
"B)1/3",
"C)1/4",
"D)3/2",
"E)5/2"
] | A)1/2 | aqua_rat |
78533abe-d91a-49b6-bffb-338cf3d08460 | During a particular year in city X, there were an average (arithmetic mean) of 16,000 car accidents per day on weekends and an average of 40,000 per day on each of the other days of the week. Which of the following is nearest to the total number of accidents last year? | [
"A)0.12 million",
"B)1.2 million",
"C)11.3 million",
"D)12.1 million",
"E)121 million"
] | D)12.1 million | aqua_rat |
bafa38a0-aee5-451f-bc7a-2db52dec4fc6 | A man earns RS. 20 on the first day and spends Rs. 15 on the next day. He again earns Rs. 20 on the third day and spends Rs. 15 on the fourth day. If he continues to save like this, how soon will he have Rs. 60 in hand? | [
"A)on the 17th day",
"B)on the 27th day",
"C)on the 30th day",
"D)on the 40th day",
"E)on the 44th day"
] | A)on the 17th day | aqua_rat |
dc97a13b-1499-4220-aa77-94a36509c5e7 | Money is paid into an account in portions of $500 and paid out in portions of $300. If after a month the account grew by $1,200, what is the least possible number of transactions that could have been made? | [
"A)3",
"B)4",
"C)5",
"D)6",
"E)7"
] | B)4 | aqua_rat |
4bd44561-5341-434b-8276-dfee1ebe8071 | If (x # y) represents the remainder that results when the positive integer x is divided by the positive integer y, what is the sum of all the possible values of y such that (16 # y) = 3? | [
"A)14",
"B)9",
"C)16",
"D)23",
"E)24"
] | A)14 | aqua_rat |
bbe81d69-a784-4659-826e-2705018c8a6e | An investor purchased shares of stock at a certain price. If the stock increased in price Rs 0.25 per share and the total increase for the x shares was Rs 12.50, how many shares of stock had been purchased? | [
"A)25",
"B)50",
"C)75",
"D)100",
"E)125"
] | B)50 | aqua_rat |
f26dece9-b07b-4fa3-8977-8e6203813a8c | In how many ways can 5 different candies be distributed among 4 children? (Children could get 0 candies or more than one candy) | [
"A)4^5",
"B)5^4",
"C)5!",
"D)4!",
"E)4!*5!"
] | A)4^5 | aqua_rat |
fc0e9b57-efe2-4459-bed9-fcd7e6f48341 | A is 30% more efficient than B. How much time will they, working together, take to complete a job which A along could have done in 23 days? | [
"A)11 days",
"B)13 days",
"C)20 3⁄17 days",
"D)12 days",
"E)None of these"
] | B)13 days | aqua_rat |
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