id
string
question
string
choices
list
answer_key
string
source
string
34567cc4-3ab7-44c9-9caa-27c593e577b9
If a and b are integers and (2^a)(3^b) is a factor of 180^40, what is the largest possible value of ab?
[ "A)2a", "B)5a", "C)20a", "D)40a", "E)80a" ]
A)2a
aqua_rat
2564d769-d508-42c0-a2f9-b99708859684
Weight of M, D and I is 74. Sum of D and I is 46 greater than M. I is 60% less than D. What is D's weight.
[ "A)22", "B)10", "C)88", "D)26", "E)18" ]
B)10
aqua_rat
706e8eee-4791-4202-ada1-fd7aa503887b
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
[ "A)10 km/hr", "B)50 km/hr", "C)14 km/hr", "D)17 km/hr", "E)77 km/hr" ]
B)50 km/hr
aqua_rat
907b6b48-e8b2-4224-8737-ba4ba8c3da84
A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
[ "A)177", "B)166", "C)350", "D)198", "E)161" ]
C)350
aqua_rat
ce5df291-13ea-4fdb-846b-c98d13730366
One fourth of one third of two fifth of a number is 15. What will be the 40% of that number is?
[ "A)120", "B)130", "C)150", "D)180", "E)250" ]
D)180
aqua_rat
c7d298ef-b1f6-4a7e-ab86-6ad635370601
In a restaurant, the profit is 110% of the cost. If the cost increases by 12% but the selling price remains constant, approximately what percentage of the selling price is the profit?
[ "A)30%", "B)47%", "C)90%", "D)100%", "E)None of these" ]
B)47%
aqua_rat
7d96384f-bca3-4c7d-974a-c065b63315b9
A quadratic function f(x) attains a maximum of 3 at x = 1. The value of the function at x = 0 is 1. What is the value of f(x) at x = 10 ?
[ "A)-119", "B)-159", "C)-110", "D)-180", "E)-105" ]
B)-159
aqua_rat
96db1569-f9bf-49e1-b247-dd79b7ac7b61
A began a business with Rs. 85,000. He was joined afterwards by B with Ks. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1 ?
[ "A)4 months", "B)5 months", "C)6 months", "D)8 months", "E)7 months" ]
D)8 months
aqua_rat
3faf2649-4859-4c3c-b946-7f3a06f35ea8
Potato chips are on sale, buy 2 get 1 free. There are only 9 bags of chips left (4 plain and 5 bbq). A shopper randomly grabs 3 bags. What is the probability the shopper will grab exactly 3 bags of bbq chips?
[ "A)2/3", "B)1/3", "C)1/5", "D)5/42", "E)7/42" ]
D)5/42
aqua_rat
fc5ae576-c984-4c1b-a369-4164a208750b
A train 180 m long passed a pole in 3 sec. How long will it take to pass a platform 330 m long?
[ "A)5", "B)6", "C)7", "D)8", "E)9" ]
D)8
aqua_rat
d1dcaa07-e374-49da-974d-8a8b53c2b5b5
The average temperature of Monday, Tuesday, Wednesday and Thursday was 38∘ and that of Tuesday, Wednesday, Thursday and Friday was 40∘. If the temperature on Monday was 32∘, the temperature of Friday was :
[ "A)40∘", "B)39∘", "C)38∘", "D)30∘", "E)None of these" ]
A)40∘
aqua_rat
f1756155-0e16-48d6-8c99-fef9b2454e1a
The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is?
[ "A)0.5909", "B)0.5904", "C)0.5902", "D)0.5907", "E)0.5901" ]
B)0.5904
aqua_rat
5cff6676-5128-4794-955f-dd9c69893ddb
18 beavers, working together in a constant pace, can build a dam in 12 hours. How many hours will it take 12 beavers that work at the same pace, to build the same dam?
[ "A)2.", "B)4.", "C)5.", "D)6", "E)18." ]
E)18.
aqua_rat
24d9d509-ad53-4296-b61c-5a69593ad981
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)266", "C)299", "D)750", "E)261" ]
D)750
aqua_rat
a9a10334-eb02-42b9-bdcd-3c1b4fde9510
A train running at the speed of 60 km/hr crosses a pole in 36 seconds. What is the length of the train?
[ "A)186 m", "B)176 m", "C)100 m", "D)600 m", "E)765 m" ]
D)600 m
aqua_rat
d1133be4-c452-4756-a955-6d8fef04765a
What is the measure of the angle Y made by the diagonals of the any adjacent sides of a cube.
[ "A)30", "B)45", "C)60", "D)75", "E)90" ]
C)60
aqua_rat
6c66df3e-4ce6-4d31-9676-52e9668d8320
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 40 years now, the son's age five years back was:
[ "A)A)15", "B)B)67", "C)C)56", "D)D)89", "E)E)34" ]
A)A)15
aqua_rat
0594be8a-7191-4db7-b7d0-c1087a47f243
If the average of w, b, c, 14 and 15 is 12. What is the average value of w, b, c and 29
[ "A)12", "B)13", "C)14", "D)15", "E)16" ]
D)15
aqua_rat
0c8936e4-b3bb-429d-ab46-81baf5bc6a20
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
[ "A)120 m", "B)240 m", "C)300 m", "D)500 m", "E)550 m" ]
B)240 m
aqua_rat
9a152cc9-b0db-41f4-bfe9-75f0cf959ca6
n is an integer chosen at random from the set {5, 7, 9, 11 } p is chosen at random from the set {2, 4, 10, 14, 18} What is the probability that n + p = 13 ?
[ "A)0.15", "B)0.2", "C)0.25", "D)0.3", "E)0.4" ]
A)0.15
aqua_rat
c2ab1d00-7e79-4fe3-8917-238b76a8cbf9
A tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. If 3,000 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
[ "A)6.28%", "B)7.14%", "C)7.86%", "D)8.25%", "E)8.63%" ]
B)7.14%
aqua_rat
f64e1e50-adfe-4b17-9b10-4c12263652db
At a dinner party every two guests used a bowl of rice between them, every three guests used a bowl of dal between them and every four used a bowl of meat between them. There were altogether 65 dishes. How many guests were present at the party ?
[ "A)60", "B)65", "C)90", "D)95", "E)None of these" ]
A)60
aqua_rat
96d89661-b58f-4526-a084-718cfbf8bd1c
Sylvia can buy watches at a price of M dollars per watch, which she marks up by a certain percentage before selling. If she makes a total profit of X by selling Y watches, then in terms of M and X and Y, what is the percent of the markup from her buy price to her sell price?
[ "A)100*(YM)", "B)100X*(YM)", "C)100X/(YM)", "D)100X-(YM)", "E)100X+(YM)" ]
C)100X/(YM)
aqua_rat
99665125-f877-4434-b123-a88e0a0ff98d
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 14%?
[ "A)20%", "B)29%", "C)13 1/30%", "D)12%", "E)13%" ]
B)29%
aqua_rat
f011b867-33a7-4232-9f9f-1f8fae365e23
Find the smallest four-digit number which is a multiple of 112.
[ "A)896", "B)1008", "C)1120", "D)1024", "E)None of these" ]
B)1008
aqua_rat
29bc936a-74f3-49d5-846f-4250e7e2c7ba
25% of 30% of 45% is equal to?
[ "A)0.03375", "B)0.03372", "C)0.0337", "D)0.03377", "E)0.03376" ]
A)0.03375
aqua_rat
880d108b-b922-4c95-9685-68bbb763cba0
A watch which gains uniformly ,is 5 min,slow at 8 o'clock in the morning on sunday and it is 5 min 48 sec.fast at 8 p.m on following sunday. when was it correct?
[ "A)28 min past 7pm on wednesday", "B)20 min past 7pm on wednesday", "C)20 min past 8pm on wednesday", "D)29 min past 7pm on wednesday", "E)20 min past 5pm on wednesday" ]
B)20 min past 7pm on wednesday
aqua_rat
c714debd-33a1-46ad-96ed-86efa87eb9c3
Tom, who has 50 math questions, will get 7 points per question if he chooses a correct answer. If he chooses a wrong answer to a question or skips one, he will lose 2 points per question. Then, which of the following can be the score if he solves all the 50 questions?
[ "A)192", "B)193", "C)194", "D)195", "E)197" ]
E)197
aqua_rat
94697c3f-47d3-478d-b0fa-9ea1cfc1f4a1
In how many different number of ways 5 boys and 3 girls can sit on a bench?
[ "A)700", "B)40320", "C)720", "D)730", "E)740" ]
B)40320
aqua_rat
13d1ccc4-f181-4a90-b2be-5603693525a2
If selling price of an article is Rs. 250, profit percentage is 25%. Find the ratio of the cost price and the selling price
[ "A)4:5", "B)3.:2", "C)2:1", "D)9:3", "E)4:2" ]
A)4:5
aqua_rat
d64bef97-1ec9-4526-b789-d2040bffab1a
If n is a natural number, then 6n^ 2 + 6n is always divisible by?
[ "A)6 only", "B)6 and 12", "C)12 only", "D)18 only", "E)20 only" ]
B)6 and 12
aqua_rat
9678c854-5920-411f-b323-829bd308b76e
If the sum of two numbers is 45 and the H.C.F and the sum of the reciprocals of the numbers are 3 and 103/100 respectively, then the LCM of the numbers is equal to:
[ "A)460", "B)300", "C)245", "D)100", "E)200" ]
D)100
aqua_rat
de491157-f8c8-4b59-9081-2ef4f84d366e
A lemonade stand sold only small and large cups of lemonade on Tuesday. 2/5 of the cups sold were small and the rest were large. If the large cups were sold for 7/6 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups?
[ "A)(a) 7/16", "B)(b) 7/11", "C)(c) 10/21", "D)(d) 17/35", "E)(e) 1/2" ]
B)(b) 7/11
aqua_rat
c6f06941-f78b-4dc2-94f4-d8687e19cd74
Light glows for every 15 seconds . How many times did it between 1:57:58 and 3:20:47 am
[ "A)381", "B)332", "C)383", "D)334", "E)385" ]
B)332
aqua_rat
9d269254-0c8a-44db-b824-1e1138a8a2e4
A 250m long train is travelling at 30km/hr. Another 200m long train travelling at 40km/hr in the same direction overtakes it. How long would it take to pass the first train completely?
[ "A)2min32secs.", "B)1min32secs.", "C)3min42secs.", "D)2min42secs,", "E)4min12secs." ]
D)2min42secs,
aqua_rat
7b233fa2-1346-4cd9-acad-2a97961bdb5f
A boy is traveling from his house to school at 3km/hr and reached school 9minutes late. Next day he traveled 4km/hr and reached 6minutes early. Then find the distance between house and school?
[ "A)3km", "B)4.5km", "C)5km", "D)2.5km", "E)6km" ]
A)3km
aqua_rat
08d59c47-9f8d-44d8-97f1-3e0bbe15fdda
A, B, C, D and E play a game of cards. A says to B, "If you give me three cards, you will have as many as E has and if I give you three cards, you will have as many as D has." A and B together have 10 cards more than what D and E together have. If B has two cards more than what C has and the total number of cards be 13...
[ "A)37", "B)23", "C)25", "D)29", "E)17" ]
C)25
aqua_rat
ce3c5c1c-243e-4592-b10c-6b8eadf889af
There are r red ball, b blue ball and w white ball in a bag. What is the ratio of the number of blue ball to the total no. of ball in terms of r, b and w.?
[ "A)(r + b + w)", "B)r / (r + b + w)", "C)r * (r + b + w)", "D)r / (r + b )", "E)r / (r + w)" ]
B)r / (r + b + w)
aqua_rat
7b9d7167-a801-47e3-8515-0a256010820f
What is the total number of X integers between 100 and 200 that are divisible by 3?
[ "A) 33", "B) 32", "C) 31", "D) 30", "E) 29" ]
A) 33
aqua_rat
79ad6e3c-fdf6-42d4-bb16-155fa3990e70
Half of the workers in Palabras bookstore have read the latest book by J. Saramago, and 1/6 of the workers have read the latest book by H. Kureishi. The number of workers that have read neither book is one less than the number of the workers that have read the latest Saramago book and have not read the latest Kureishi ...
[ "A)3", "B)12", "C)9", "D)8", "E)7" ]
A)3
aqua_rat
0655f99e-1447-4bb7-a7f3-589ee17438f0
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
[ "A)33", "B)63", "C)22", "D)29", "E)177" ]
B)63
aqua_rat
73cd9145-30b2-4532-8766-07181df5a1b6
The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each. The radius of the sphere is:
[ "A)4cm", "B)6cm", "C)8cm", "D)10cm", "E)9cm" ]
B)6cm
aqua_rat
65945683-a1ca-49d9-aeff-0fc467f930c6
If cost of sugar increases by 52%. How much percent consumption of sugar should be decreased in order to keep expenditure fixed?
[ "A)34.21", "B)35.15", "C)36.32", "D)28.21", "E)26.54" ]
A)34.21
aqua_rat
5702970d-700f-46da-9df5-f441afaa1ad9
Three numbers are in the ratio 1:4:8 and their H.C.F is 3. The numbers are?
[ "A)3, 15, 24", "B)3, 12, 27", "C)3, 12, 22", "D)3, 12, 24", "E)3, 12, 21" ]
D)3, 12, 24
aqua_rat
1ec9b323-bc5a-47b0-a9b9-c79b53f03b1a
Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest?
[ "A)80% p.a", "B)10% p.a", "C)20% p.a", "D)28% p.a", "E)30% p.a" ]
C)20% p.a
aqua_rat
c64f69bf-a622-4cf9-9b9e-c6ac108f846b
In a class of 40 students 26 play football and play 20 long tennis, if 17 play above, many play neither?
[ "A)6", "B)8", "C)10", "D)11", "E)14" ]
D)11
aqua_rat
ad07d05e-6fea-4ee0-98d6-ebfea2a32252
Express 20 mps in kmph?
[ "A)23", "B)88", "C)90", "D)72", "E)21" ]
D)72
aqua_rat
774af530-6bdc-4b23-aa84-181067d995de
Edward 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 6 miles per hour and returns along the same route at an average speed of 9 miles per hour. Of the following, which is the closest to his average speed, in miles per hour, for the trip u...
[ "A) 5.5", "B) 5.8", "C) 6.0", "D) 6.3", "E) 7.2" ]
E) 7.2
aqua_rat
2c8fe9b7-0de5-48c2-bcca-87eb2e173e5a
The length of a room is 5.5 m and width is 3.75 m. Find the cost of paving the floor by slabs at the rate of Rs. 1400 per sq. metre.
[ "A)Rs. 15000", "B)Rs. 15550", "C)Rs. 15600", "D)Rs. 28875", "E)None of these" ]
D)Rs. 28875
aqua_rat
2db6ee00-bf91-4317-8d37-d838e33fc908
At the time of marriage, a man was 8 years elder to his wife. 15 years after their marriage, his age is 5/4 times the age of his wife. What was wife's age at the time of marriage ? Choose one answer.
[ "A)15 years", "B)30 years", "C)18 years", "D)17 years", "E)26 years" ]
D)17 years
aqua_rat
57b10901-9fe4-45f9-94cb-502b8aeb0ed2
It is being given that (2^32 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?
[ "A)2^16", "B)7 * 2^23", "C)7 * 2^33", "D)5 * 2^32", "E)2^96 + 1" ]
E)2^96 + 1
aqua_rat
a12cef04-c0e9-404b-b113-8d9c2bb9f811
List L: ABC, BCA, CAB In list L above, there are 3 positive integers, where each of A, B, and C is a different nonzero digit. Which of the following is the sum of all the positive integers that MUST be factors of the sum of the integers in list L?
[ "A)47", "B)114", "C)152", "D)161", "E)488" ]
C)152
aqua_rat
61dfec89-3623-4aa0-959a-2494aaad9345
If the cost price of 50 articles is equal to the selling price of 46 articles, then the gain or loss percent is?
[ "A)22", "B)65", "C)78", "D)33", "E)8.69" ]
E)8.69
aqua_rat
ec166a5a-2f23-4a21-94af-4d024984d2bf
The ratio between the present age of P and Q is 6 : 7. if Q is 4 years old then P, what will be the ratio of the ages of P and Q after 4 year ?
[ "A)3 : 4", "B)3 : 5", "C)7 : 8", "D)4 : 3", "E)None of these" ]
C)7 : 8
aqua_rat
c26ec007-a569-467b-b387-561f77b5d910
A die is thrown twice and the sum of the numbers appearing is observed to be 6. find the conditional probability that the number 4 has appeared at least once?
[ "A)2/5", "B)3/5", "C)3/7", "D)3/11", "E)None" ]
A)2/5
aqua_rat
c61c96c8-92a3-4587-ad4a-59ce4451f83d
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
[ "A)333 Sec", "B)190 Sec", "C)176 Sec", "D)2687 Sec", "E)1876 Sec" ]
B)190 Sec
aqua_rat
bc772a31-0afc-4ba3-a242-5b5346cbe575
A, B can Complete a work in 15 days &10 days respectively. They started doing thework together after 2 days B had to leave and A alone completed the remaining work.The whole work wascompleted in how many days?
[ "A)8 days", "B)10 days", "C)12 days", "D)14 days", "E)16 days" ]
C)12 days
aqua_rat
abc499b7-8ad6-44ff-bd09-4f2c86cc814b
Baseball's World Series matches 2 teams against each other in a best-of-seven series. The first team to win four games wins the series and no subsequent games are played. If you have no special information about either of the teams, what is the probability E that the World Series will consist of fewer than 7 games?
[ "A) 12.5%", "B) 25%", "C) 31.25%", "D) 68.75%", "E) 75%" ]
D) 68.75%
aqua_rat
3ebd0828-9899-47d8-9648-76bfd5ac50d9
Find the sum of first 30 natural numbers
[ "A)470", "B)468", "C)465", "D)463", "E)485" ]
C)465
aqua_rat
609308df-b658-4864-8bda-d6a8d4ac7f4c
What should come in place of the question mark(?) in the following equation? 4 1⁄2 Γ— 4 1⁄3 - 8 1⁄3 Γ· 5 2⁄3 = ?
[ "A)8", "B)18 1⁄34", "C)13 3⁄34", "D)7⁄17", "E)None of these" ]
B)18 1⁄34
aqua_rat
513e999b-c9af-48ea-9433-a199c6e09210
Tina’s cat weighs 3.2 kilograms. Her dog weighs 5 times as much as her cat. How much does her dog weigh in kilograms?
[ "A)A)10.4kg", "B)B)38kg", "C)C)22kg", "D)D)48kg", "E)E)16kg" ]
E)E)16kg
aqua_rat
1ac88344-e9be-4d57-906a-2df6f30dbe2f
A certain telephone company company charges 3.10 cents for the first 1/5 of a minute plus 0.40 cents for each additional 1/5 of a minute. What would this company charge for a talk time of 8 minutes long?
[ "A)15.60", "B)16.0", "C)17.8", "D)18.7", "E)19.1" ]
D)18.7
aqua_rat
b4f47a5a-3731-436c-9f2d-eb35ce65c174
How many numbers with 3 different digits can be formed using only the even-numbered digit?
[ "A)10", "B)24", "C)40", "D)60", "E)120" ]
B)24
aqua_rat
2aad628d-1576-43a1-92df-9b3e757321b9
A list of measurements in increasing order is 4, 5, 6, 8, 15 and x. If the median of these measurements is 3/4 times their arithmetic mean, what is the value of x?
[ "A)16", "B)18", "C)20", "D)22", "E)24" ]
B)18
aqua_rat
45b55a90-eef2-43ee-822a-f06f4d2af810
If a boat goes upstream at 5 km/hr and downstream at 7 km/hr what is the speed of the stream?
[ "A)1.5 kmph", "B)1.2 kmph", "C)1.1 kmph", "D)1.3 kmph", "E)1 kmph" ]
E)1 kmph
aqua_rat
a343d085-c71e-4768-a60f-4faaee4a4618
4 friends went for a cinema, and everyone decided to contribute equally to the total bill of $60. If one of the friends had a coupon for 8% off the total bill, and if each friend still contributed equally after the coupon was applied to the bill, how much did each friend pay?
[ "A)13", "B)13.1", "C)13.2", "D)13.8", "E)14" ]
D)13.8
aqua_rat
600787a1-b0a1-48fd-95c0-ac8592cba4d6
A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
[ "A)Rs.3990", "B)Rs.3967", "C)Rs.3927", "D)Rs.3900", "E)Rs.3282" ]
D)Rs.3900
aqua_rat
b2ebe81c-9424-48da-9894-e3703e013c2f
Distance between two stations A and B is 778 km. A train covers the journey from A to B at 84 km per hour and returns back to A with a uniform speed of 56km per hour. Find the average speed of the train during the whole journey?
[ "A)67.8", "B)67.4", "C)67.2", "D)67.6", "E)67.0" ]
C)67.2
aqua_rat
1010c10d-890e-4e45-a12b-603e32026cea
A reduction of 40% in the price of bananas would enable a man to obtain 64 more for Rs.40. What is the reduced price/dozen?
[ "A)3", "B)4", "C)5", "D)6", "E)9" ]
A)3
aqua_rat
4e55b615-15c5-4a2a-9a3b-3b4166b08d45
A soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price. During the annual summer sale, everything in the store is an additional 20 percent off the original list price. If a replica jersey's list price is $80, approximately what percent of the list price is the lowest pos...
[ "A)20", "B)25", "C)30", "D)40", "E)50" ]
D)40
aqua_rat
4b9bdcb4-1d55-4b86-8032-ea700e32304c
The probability that a man will be alive for 10more yrs is 1/4 & the probability that his wife will alive for 10 more yrs is 1/3. The probability that none of them will be alive for 10 more yrs, is
[ "A)1/2", "B)1", "C)2/3", "D)3/5", "E)3/8" ]
A)1/2
aqua_rat
93162dae-7cb0-43b5-851e-8a890a91e476
A, B, C subscribe Rs. 50,000 for a business, A Subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, C receives :
[ "A)8400", "B)14703", "C)37798", "D)13777", "E)14778" ]
A)8400
aqua_rat
614f87e8-a31a-484e-886f-b07c1beb0626
A computer program generates a single digit by a random process, according to which the probability of generating any digit is directly proportional to the reciprocal of one more than that digit. If all digits are possible to generate, then the probability R of generating an odd prime digit is between
[ "A)0 and 1/6", "B)1/6 and 1/3", "C)1/3 and 1/2", "D)1/2 and 2/3", "E)2/3 and 5/6" ]
B)1/6 and 1/3
aqua_rat
80e31621-955e-437b-80e6-d6efc3a355da
P and Q invested in a business. The profit earned was divided in the ratio 2 : 3. If P invested Rs 40000, the amount invested by Q is
[ "A)30000", "B)50000", "C)40000", "D)20000", "E)60000" ]
E)60000
aqua_rat
bffed1c5-a1b2-478e-8b05-c89f635c483d
The speed of a boat in upstream is 70 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
[ "A)5 kmph", "B)13 kmph", "C)65 kmph", "D)55 kmph", "E)14 kmph" ]
A)5 kmph
aqua_rat
93446cce-89d5-4fa1-80db-2bf982db04eb
Square X is inscribed in circle Y. If the perimeter of X is 100, what is the circumference of Y?
[ "A)30√ 2Ο€", "B)2√ 2Ο€", "C)5√ 2Ο€", "D)4√ 2Ο€", "E)25√ 2Ο€" ]
E)25√ 2Ο€
aqua_rat
5c15b54a-75a2-4bf4-99bf-2cfbb7d58449
A painting is painted on a cardboard 19 cm and 14 cm wide, such that there is a margin of 1.5 cm along each of its sides. Find the total area of the margin.
[ "A)80", "B)85", "C)88", "D)90", "E)92" ]
D)90
aqua_rat
a3304b60-d98e-4827-8220-617e004ebda7
When processing flower-nectar into honey bees' extract, a considerable amount of water gets reduced. How much flower-nectar must be processed to yield 1kg of honey, if nectar contains 50% water, and the honey obtained from this nectar contains 30% water?
[ "A)1.2 kg", "B)1.5 kg", "C)1.4 kg", "D)1.9 kg", "E)None of these" ]
C)1.4 kg
aqua_rat
0222eb8b-c67b-4034-b8a5-88f2cf5252ea
The variables a and b are non-zero integers W. If a = 2b^3/c, what happens to c when a is halved and b is doubled?
[ "A)c is not changed.", "B)c is halved.", "C)c is doubled.", "D)c is multiplied by 4.", "E)c is multiplied by 16." ]
E)c is multiplied by 16.
aqua_rat
c5a1b73d-919a-414e-bd6a-a688e898b93e
A certain psychologist charges $40 more for the first hour of therapy than for each additional hour. If the total charge to a patient who receives 5 hours of therapy is $375, what is the total charge to a patient who receives only 2 hours of therapy ?
[ "A) $120", "B) $135", "C) $150", "D) $174", "E) $192" ]
D) $174
aqua_rat
45607c8c-a818-4f49-8b29-e9a7185adbe6
20% of employees are women with fair hair. 40% of fair-haired employees are women. What percent of employees have fair hair?
[ "A)25", "B)30", "C)50", "D)55", "E)60" ]
C)50
aqua_rat
3bdb5c99-72bf-4e99-8381-2e0433c5486f
At 11:00 a.m., Tom begins traveling on a certain bike path from Riverdale at a constant rate of 10 mph. If, at 1:00 p.m., Jim begins traveling from Riverdale on the same path at a constant rate of 20 mph, at what time will he catch up to Peter?
[ "A)3:00 p.m.", "B)4:00 p.m.", "C)5:00 p.m.", "D)6:00 p.m.", "E)7:00 p.m." ]
A)3:00 p.m.
aqua_rat
941df9c8-9754-4dce-9618-3d94ac938c6c
Students are in cultural program as follows: music-10, Dance-15, and skits -6. No student is in all three cultural program , but 4 are in both music and Dance, 3 are in both music and skits, and 2 are in Dance and skits. How many different students are in at least one of the three cultural program?
[ "A)34", "B)28", "C)26", "D)22", "E)18" ]
D)22
aqua_rat
1be3b5cd-2958-4c57-90b2-e8e6086d3f9d
You are distributing vegetable oil. there are 21 bottles in total out of which 7 are full, 7 half empty, 7 empty. the oil has to be distributed among three people. how will you distribute so that each person gets equal number of bottles and the same quantity of oil
[ "A)1st person : 3 full, 1 half, 3 empty , 2nd person: 3 full, 1 half, 3 empty,, 3rd person : 1 full, 5 half, 1 empty", "B)1st person : 1 full, 1 empty ,1half , 2nd person: 3 full, 1 half, 2 empty, 3rd person : 1 full, 2 half, 4 empty", "C)1st person : 1 full, 2 half, 3 empty , 2nd person: 3 full, 1 empty , 3 em...
A)1st person : 3 full, 1 half, 3 empty , 2nd person: 3 full, 1 half, 3 empty,, 3rd person : 1 full, 5 half, 1 empty
aqua_rat
9616175e-52d1-49ab-84d7-4d71890e5ed7
Two cars start at the same time from opposite ends of a highway that is 45 miles long. One car is riding at 14 mph and the second car is riding at 16 mph. How long after they begin will they meet?
[ "A)1", "B)1.2", "C)1.25", "D)1.35", "E)1.5" ]
E)1.5
aqua_rat
00796ba8-d6c8-4f6e-aa1a-a51246f898bb
If 3x=8y=z, what is x+y, in terms of z?
[ "A)z/2", "B)2z", "C)11z/24", "D)3z/5", "E)z/9" ]
C)11z/24
aqua_rat
beefbb83-abfe-4126-92b4-b50ff2624216
A man walks from B to C, a distance of x miles, at 10 miles per hour and returns at 15 miles per hour. What is his average speed?
[ "A)10 mph", "B)12 mph", "C)8.8 mph", "D)8.4 mph", "E)14 mph" ]
B)12 mph
aqua_rat
aa0c69e8-8e2e-41bc-8b69-1335c64df7dc
When x is divided by y, the quotient is z with remainder t. Which of the following is equal to t?
[ "A)yz – x", "B)y/xβˆ’z", "C)x – y – z", "D)x – yz", "E)zx – y" ]
D)x – yz
aqua_rat
098fefcf-ae4f-4191-8988-a143b7a1584a
A list of numbers has six positive integers. Three of those integers are known: 4, 5 and 24 and three of those are unknown: x, y and z. The three unknowns are known to be distinct. It is also known that the mean of the list is 10 and the median lies between 7 and 8 (exclusive). Which of the following CANNOT be the valu...
[ "A)13", "B)12", "C)11", "D)10", "E)5" ]
C)11
aqua_rat
8da3bc4d-f643-41f7-b51e-145a8ce4acfa
Find the number of ways of arranging the boy and 12 guests at a circular table so that the boy always sits in a particular seat?
[ "A)3!", "B)8!", "C)11!", "D)12!", "E)14!" ]
D)12!
aqua_rat
13047049-e3b0-4984-b8be-e683460aaeb4
A survey was conducted to find out how many people in a housing colony of 144 residents could swim, dance and drive a car. It was found that the number of people who could not swim was 85, the number of people who could not dance was 100 and that the number of people who could not drive a car was 91. If the number of p...
[ "A)28", "B)31", "C)33", "D)35", "E)37" ]
B)31
aqua_rat
74a41fa8-c560-46ec-bd71-3239a5782f2d
Excluding stoppages, the speed of a train is 54 kmph and including stoppages it is 40 kmph. Of how many minutes does the train stop per hour?
[ "A)A)13.55", "B)B)14.55", "C)C)15.55", "D)D)16.55", "E)E)17.55" ]
C)C)15.55
aqua_rat
dafea53d-7c2a-460c-a4d6-17b79a1b4ddd
Rajan borrowed Rs.4000 at 5% p.a compound interest. After 2 years, he repaid Rs.2210 and after 2 more year, the balance with interest. What was the total amount that he paid as interest?
[ "A)635.50", "B)635.58", "C)635.52", "D)635.59", "E)635.51" ]
A)635.50
aqua_rat
5a0e5c56-cc13-4c61-8125-a71a1d89bbc7
In a group of ducks and cows, the total number of legs are 28 more than twice the number of heads. Find the total number of cows.
[ "A)14", "B)12", "C)16", "D)8", "E)6" ]
A)14
aqua_rat
48f358c5-5f78-49a2-9324-9ecfef84b15c
If i is a positive integer and i^2 is divisible by 12, then the largest positive integer that must divide i ^3 is
[ "A) 2^3", "B) 2^6", "C) 3^3", "D) 6^3", "E) 12^2" ]
D) 6^3
aqua_rat
38a8036c-b464-4d9a-97d2-f4eb082794d6
What is the 4 digit number in which the 1st digit is 1/3 of the second, the 3rd is the sum of the 1st and 2nd, & the last is three times the second?
[ "A)1234", "B)1567", "C)1349", "D)1456", "E)1356" ]
C)1349
aqua_rat
e68d99bf-7785-45b8-9a0f-e3761dfcb8bb
A number has exactly 32 factors out of which 4 are not composite. Product of these 4 factors (which are not composite) is 30. How many such numbers D are possible?
[ "A)2", "B)4", "C)6", "D)3", "E)Not possible" ]
C)6
aqua_rat
f05900fa-6ff2-4fb3-8e0f-9679843bd56f
Pat, kate and mark charged a total of 180 hours to a certain project . If pat charged twice as much time to the project as kate and 1/3 as much times as mark, how many more hours did mark charge to the project than kate.
[ "A)18", "B)36", "C)72", "D)90", "E)100" ]
E)100
aqua_rat
ac67c9fb-70d7-4f4b-850e-983e2a83fe22
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 600 m long?
[ "A)266 Sec", "B)180 Sec", "C)776 Sec", "D)166 Sec", "E)997 Sec" ]
B)180 Sec
aqua_rat
3f1dd04b-7ce5-4b9f-8f1a-8664e0671df6
A train 210 m in length crosses a telegraph post in 13 seconds. The speed of the train is?
[ "A)77 kmph", "B)55 kmph", "C)54 kmph", "D)58 kmph", "E)76 kmph" ]
D)58 kmph
aqua_rat