id
string
question
string
choices
list
answer_key
string
source
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3b374500-82c4-491e-9297-278afeb6b88b
Tough and Tricky questions: Exponents. If 3^(x+1)*5^(y-1) = 9^x*125^y, then 2x + y =
[ "A)-3/4", "B)-2/5", "C)-5/2", "D)2/5", "E)5/2" ]
C)-5/2
aqua_rat
11b3695c-4ad6-4ec5-8308-336607010674
Mixture A is 20 percent alcohol, and mixture B is 50 percent alcohol. If the two are poured together to create a 15 gallon mixture that contains 30 percent alcohol, approximately how many gallons of mixture A are in the mixture?
[ "A)3 gallons", "B)4 gallons", "C)5 gallons", "D)10 gallons", "E)12 gallons" ]
D)10 gallons
aqua_rat
68300d1c-6955-410b-8231-f2433c1b5ece
A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram?
[ "A)835 1/3 grams", "B)833 1/3 grams", "C)833 1/9 grams", "D)836 1/3 grams", "E)843 1/3 grams" ]
B)833 1/3 grams
aqua_rat
9067837f-e5a6-4ffd-a595-d7e7a511ed46
Calculate 56581 ÷ ? = 137
[ "A)113", "B)213", "C)413", "D)417", "E)414" ]
C)413
aqua_rat
267192f8-730f-4333-8cdf-d1bac7e38cd3
If 60 honey bees make 60 grams of honey in 60 days, then 1 honey bee will make 1 gram of honey in how many days?
[ "A)1", "B)3.5", "C)20", "D)49", "E)60" ]
E)60
aqua_rat
326a6c29-9bd6-43ce-9c1a-e2556f17a946
The average earning of a mechanic for the first-four days of a week is Rs. 16 and for the last four days is Rs. 24. If he earns Rs . 27 on the fourth day, his average earning for the whole week is ?
[ "A)Rs . 18.95", "B)Rs 16", "C)Rs. 19", "D)Rs. 25.71", "E)None of these" ]
C)Rs. 19
aqua_rat
49bc6c9b-5b90-4392-bed8-ea8aec954684
A can do a piece of work in 3 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?
[ "A)12", "B)9", "C)8", "D)6", "E)5" ]
D)6
aqua_rat
c8b30fb9-4113-4c5a-82ac-79cf0f0b1029
Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly and then one card is drawn randomly. If it is known that the number on the drawn card is more than 3, what is the probability that it is an even number?
[ "A)4/7", "B)1/2", "C)1/3", "D)1/7", "E)2/7" ]
A)4/7
aqua_rat
fb176710-240e-4f6c-b6d6-ff81ba31e773
A pair of prime numbers that can be expressed in the form W{p, (p + 6)} is defined as a pair of “sexy primes.” A “sexy triplet” is a group of three primes that can be expressed in the form {p, (p + 6), (p + 12)}. All of the following prime numbers are the middle term of a sexy triplet EXCEPT
[ "A) 11", "B) 13", "C) 17", "D) 19", "E) 23" ]
D) 19
aqua_rat
adda783a-a82a-439e-be15-5d1ec6169075
If the radius of a circle is decreased 30%, what happens to the area?
[ "A)51% decrease", "B)20% decrease", "C)36% decrease", "D)40% decrease", "E)50% decrease" ]
A)51% decrease
aqua_rat
069c0e41-cd71-40d9-b5c2-ea5f3189e822
Lucy is traveling from one end of a forest to the other. In order to find her way back, she is leaving morsels of bread in the following pattern: 2 morsels of wheat, 3 morsels of rye, and 1 morsel of white. The pattern repeats after she leaves the morsel of rye. If Lucy drops 2,000 morsels of bread, what are the last 3 morsels of bread that she drops?
[ "A)white − wheat − wheat", "B)wheat − wheat − rye", "C)rye − white− wheat", "D)rye − rye − rye", "E)rye − rye − white" ]
A)white − wheat − wheat
aqua_rat
ac973210-0bb9-4fa9-8eb8-085590e246c8
The angles of a triangle have ratios 3:4:5 relative to each other. Determine which angle below corresponds to one of the angles of this triangle.
[ "A)40°", "B)60°", "C)80°", "D)100°", "E)120°" ]
B)60°
aqua_rat
376d0d49-3f74-41c4-976b-41496f5f9cce
What is the sum of the greatest common factor and the lowest common multiple of 16 and 72?
[ "A)142", "B)152", "C)124", "D)160", "E)184" ]
B)152
aqua_rat
c7fb153d-6cc7-4412-9c8d-a3296ce9add9
Fred and Sam are standing 35 miles apart and they start walking in a straight line toward each other at the same time. If Fred walks at a constant speed of 2 miles per hour and Sam walks at a constant speed of 5 miles per hour, how many miles has Sam walked when they meet?
[ "A)5", "B)9", "C)25", "D)30", "E)45" ]
C)25
aqua_rat
43836d14-f524-48f8-9231-2ee176c3554d
At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?
[ "A)62.5", "B)62.8", "C)62.1", "D)62.9", "E)32.5" ]
A)62.5
aqua_rat
22214673-c941-4aab-a9d5-8afaa0d0ed33
In how many ways, a committee of 6 members can be selected from 7 men and 4 ladies, consisting of 4 men and 2 ladies?
[ "A)210", "B)180", "C)200", "D)310", "E)250" ]
A)210
aqua_rat
e1ba93df-29f9-4a4c-a792-44364392761e
A Table is bought for Rs.1600/- and sold at a loss of 20% find its selling price?
[ "A)s.1280/-", "B)s.1560/-", "C)s.1580/-", "D)s.1250/-", "E)s.1300/-" ]
A)s.1280/-
aqua_rat
97c67662-a365-42f4-8a5e-4d1844c1214f
What sum of money put at C.I amounts in 2 years to Rs.8820 and in 3 years to Rs.9261?
[ "A)Rs.8000", "B)Rs.8400", "C)Rs.7500", "D)Rs.7800", "E)None of these" ]
A)Rs.8000
aqua_rat
f89c5555-4928-40f0-acf9-ef5122c3561e
The ratio of two numbers is 2:3 and the sum of their cubes is 945. The difference of number is?
[ "A)3", "B)4", "C)5", "D)6", "E)8" ]
A)3
aqua_rat
a749fc55-9c4b-4464-a110-0fb07124466f
The diagonal of a rectangle is 41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be:
[ "A)18 cm", "B)28 cm", "C)30 cm", "D)38 cm", "E)42 cm" ]
A)18 cm
aqua_rat
a75cb281-09bd-4d79-bf0e-edc47457ae97
At the starting of 2012, 60% of the population of Town Y lived in the north and the rest lived in the south. During the year 2012, the population of Town Y grew by 5.5%. If the population in the north grew by 4.5%, by how much did the population in the south grow?
[ "A)7%", "B)9%", "C)1%", "D)1.5%", "E)3.8%" ]
A)7%
aqua_rat
70d17df6-c609-41f3-882f-daea348679c7
Three 6 faced dice are thrown together. The probability that all the three show the same number on them is?
[ "A)1/39", "B)1/36", "C)1/32", "D)1/31", "E)1/30" ]
B)1/36
aqua_rat
dd39bb4c-c0eb-442e-905a-4847bdb0f260
A started a business with Rs.25000 and is joined afterwards by B with Rs.30,000. After how many months did B join, if profit per annum is divieded equally?
[ "A)2 months", "B)4 months", "C)5 months", "D)7 months", "E)9 months" ]
A)2 months
aqua_rat
709b932c-ffaf-405d-9137-6c3df3b8cafa
If k is a non-negative integer and 15^k is a divisor of 759,325 then 3^k - k^3 =
[ "A)0", "B)1", "C)37", "D)118", "E)513" ]
B)1
aqua_rat
18c73dda-134f-408e-903b-0e60a587ce88
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 10 hours and 8 hours respectively. The ratio of their speeds is
[ "A)4 : 9", "B)4 : 3", "C)4 : 12", "D)4 : 8", "E)4 : 5" ]
E)4 : 5
aqua_rat
676a7986-a050-4c7a-b440-8a66c4f64c37
J and M were each paid x dollars in advance to do a certain job together. J worked on the job for 12 hours and M worked for 2 hours less than J. If M gave J y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that J was paid in advance?
[ "A)a)4y", "B)b)5y", "C)c)6y", "D)d)11y", "E)e)10y" ]
D)d)11y
aqua_rat
f58fb789-d2e1-483a-b58e-74320834b772
A bowl contains pecans, cashews, and almonds in a ratio of 7 : 12 : 18, respectively. If some of the nuts of one of the three types are removed, which of the following could be the ratio of pecans to cashews to almonds remaining in the bowl? i. 1 : 2 : 3 ii. 2 : 3 : 4 iii. 4 : 7 : 10
[ "A)I only", "B)III only", "C)I,II only", "D)II only", "E)II,III only" ]
A)I only
aqua_rat
fd7ef0cd-ea32-43c1-87e2-f946bb5ed89d
Current ages of Rahim and Thomas are in the ratio of 5 : 4 correspondingly. 0.2 decades hence, the ratio of their ages will become 11 : 9 correspondingly, What is Thomas’s current age in years?
[ "A)24 years", "B)44 years", "C)34 years", "D)64 years", "E)16 years" ]
E)16 years
aqua_rat
5c18d579-5b86-4674-9dc5-8019ecbbee40
Four milkmen rented a pasture. A grazed 24 cows for 3 months; B 10 for 5 months; C 35 cows for 4 months and D 21 cows for 3 months. If A's share of rent is Rs. 2160, find the total rent of the field.
[ "A)3750", "B)3550", "C)4250", "D)9750", "E)3250" ]
D)9750
aqua_rat
1bbf9cfa-0071-4d40-b703-4cf43a5068a9
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)45 kmph", "B)25 kmph", "C)30 kmph", "D)50 kmph", "E)None of these" ]
D)50 kmph
aqua_rat
3e2a09cc-ea44-411d-b06c-b64e9b123e87
Sreedhar and Sravan together can do a work in 25 days. With the help of Pavan, they completed the work in 8 days and earned Rs. 225. What is the share of Sravan, if Sreedhar alone can do the work in 75 days?
[ "A)22", "B)26", "C)48", "D)77", "E)12" ]
C)48
aqua_rat
1be0ba2b-690c-48c2-b5e9-562ea1e2512e
An examiner rejects 0.16% of the meters as defective. How many will be examine to reject 4?
[ "A)500", "B)4000", "C)2500", "D)5500", "E)None of these" ]
C)2500
aqua_rat
9e5637b0-1f11-497e-8c1a-4866470d0d7b
An object thrown directly upward is at a height of h feet after t seconds, where h = -14 (t-3)^2 + 150. At what height, in feet, is the object 2 seconds after it reaches its maximum height?
[ "A)80", "B)88", "C)94", "D)112", "E)124" ]
C)94
aqua_rat
1886eb9b-b364-4add-b63e-e8aedbce7b4f
In a forest 150 deer were caught, tagged with electronic markers, then released. A week later, 50 deer were captured in the same forest. Of these 50 deer, it was found that 10 had been tagged with the electronic markers. If the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest?
[ "A)150", "B)750", "C)3,000", "D)1,500", "E)2,500" ]
C)3,000
aqua_rat
f12fe02a-5718-4964-9f65-b4ca0c622c61
There are 15 points in a given plane, no three of which are on the same line. If one of the points is represented as 'Y', then how many triangles can be determined with the 15 points that contain the point Y?
[ "A)91", "B)105", "C)182", "D)210", "E)455" ]
C)182
aqua_rat
d0b041b2-9d26-4b81-b623-81b230486833
if 70% of (x-y) = 30% of (x+y) then what percent of x is y?
[ "A)2.5%", "B)40%", "C)5%", "D)15%", "E)25%" ]
B)40%
aqua_rat
eb938c7d-02c2-4544-85db-f0293c9552f6
A and B can do a work in 8 hours and 12 hours respectively. A starts the work at 6AM and they work alternately for one hour each. When will the work be completed?
[ "A)9.6 days", "B)7.6 days", "C)4 days", "D)8.6 days", "E)6.6 days" ]
A)9.6 days
aqua_rat
60fbc09e-ba40-4fb0-aad4-ccf134ec9f7a
If KING is coded as 17 and DON is coded as 18 Then MASS is coded as
[ "A)21", "B)20", "C)19", "D)29", "E)None" ]
D)29
aqua_rat
60605810-4c4f-4b95-9943-d0b6c9fe0075
Judges will select 5 finalists from the 7 contestants entered in a singing competition. The judges will then rank the contestants and award prizes to the 3 highest ranked contestants: a blue ribbon for first place, a red ribbon for second place, and a yellow ribbon for third place. How many different arrangements of prize-winners are possible?
[ "A)10", "B)21", "C)210", "D)420", "E)1,260" ]
C)210
aqua_rat
c4bb620d-0402-44e4-8fc8-ef91b4e218b5
A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 6 : 7 : 8 : 9 : 10. In all papers together, the candidate obtained 60% of the total marks. Then the number of papers in which he got more than 40% marks is
[ "A)5", "B)4", "C)3", "D)2", "E)1" ]
A)5
aqua_rat
9c2bdece-523f-4c08-84be-ace353fb5037
If 7^w is a factor of the product of the integers from 1 to 100, inclusive, what is the largest value of w?
[ "A)12", "B)13", "C)14", "D)15", "E)16" ]
E)16
aqua_rat
a2efd2b2-5931-48f3-960e-00bcdd4319ac
24 oz of juice P and 25 oz of juice V are mixed to make smothies A and Y . The ratio of p to V in smothie A is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie A?
[ "A)5", "B)10", "C)15", "D)20", "E)25" ]
D)20
aqua_rat
3c20d1f4-58ec-4309-bc7f-7dd5d32b6cd6
Lucy bought a 1-year,10000 certificate of deposit that paid interest at an annual rate of 8 percent compunded semiannually. What was the total amount of interest paid on this certificate at maturity ?
[ "A)10464", "B)864", "C)816", "D)800", "E)480" ]
D)800
aqua_rat
13cf0929-86d7-46e5-8a34-2b5c024a4624
A shop owner sells 30mtr of cloth and gains SP of 10 mtrs. Find the gain %?
[ "A)30%", "B)40%", "C)50%", "D)60%", "E)70%" ]
C)50%
aqua_rat
8ee35eb7-0611-4f3e-a0e3-7cc90f3b2e73
For some integer x, x^2 - 5 is divisible by all of the following EXCEPT
[ "A)41", "B)38", "C)29", "D)31", "E)30" ]
E)30
aqua_rat
b75537b3-c9f1-4af3-8fa2-d2becb6ea6b5
The number x of cars sold each week varies with the price y in dollars according to the equation x = 800,000 – 50y. What would be the total weekly revenue W, in dollars, from the sale of cars priced at $ 15,000?
[ "A)50,000", "B)750,000", "C)850,000", "D)7,500,000", "E)W=750,000,000" ]
E)W=750,000,000
aqua_rat
e596b15c-cb80-4ec1-87ea-ab7d0e2d0897
In an election between two candidates, 75% of the voters cast thierthier votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election.
[ "A)1600", "B)16000", "C)16800", "D)1680", "E)16870" ]
C)16800
aqua_rat
19bcb6dc-667d-4f30-8190-40b6ee55654d
KODAK bank offers an interest of 5% per annum compounded annually on all its deposits. If $10,000 is deposited, what will be the ratio of the interest earned in the 4th year to the interest earned in the 5th year?
[ "A)1:5", "B)625:3125", "C)100:105", "D)100^4:105^4", "E)725:3225" ]
C)100:105
aqua_rat
7f03074f-2b49-4479-98c0-c58c10d535eb
Virat buys an old car for Rs. 60000 and spends Rs. 4000 on its repairs. If he sells the scooter for Rs. 65000, his gain percent is:
[ "A)3 (4/7) %", "B)11 (1/9) %", "C)12 (2/3) %", "D)1.6%", "E)None of these" ]
D)1.6%
aqua_rat
c56dcc14-8f49-409c-8b83-c81280bbb005
Of the 800 employees of Company X, 30 percent have been with the company for at least ten years. If y of theselong-termmembers were to retire and no other employee changes were to occur, what value of y would reduce the percent oflong-termemployees in the company to 20 percent ?
[ "A)200", "B)160", "C)112", "D)80", "E)100" ]
E)100
aqua_rat
fc07a994-0113-438e-a71b-5a8d2500729f
A solution of 90 litres contains milk and water in the ratio 7:x. If ten litres of water is added to the solution, the ratio becomes 3:2, find the value of x?
[ "A)2", "B)1.5", "C)3.5", "D)2.5", "E)3" ]
C)3.5
aqua_rat
d057c04f-23d0-43cf-a2e2-0cae9c10c642
A rectangular-shaped carpet remnant that measures x feet by y feet is priced at $70. What is the cost of the carpet, in dollars per square yard? (9 square feet = 1 square yard)
[ "A)70xy", "B)630xy", "C)xy/9", "D)xy/70", "E)630/(xy)" ]
E)630/(xy)
aqua_rat
3035082b-8f45-42ba-a5d9-7376d87cf60f
A man in a train notices that he can count 41 telephone posts in one minute. If they are known to be 50 metres apart, then at what speed is the train travelling?
[ "A)620 km/hr", "B)220 km/hr", "C)220 km/hr", "D)120 km/hr", "E)203 km/hr" ]
D)120 km/hr
aqua_rat
4d616fdf-0f36-4597-9cd5-ff47cbcf0c7d
An investor deposited $10,000 to open a new savings account that earned 8 percent annual interest, compounded quarterly. If there were no other transactions in the account, what was the amount of money in the account 6 months after the account was opened?
[ "A)$10,200", "B)$10,202", "C)$10,400", "D)$10,404", "E)$10,800" ]
D)$10,404
aqua_rat
4d183d83-0def-4047-88a0-45f628465058
Find the odd man out. 30, -5, -45, -90, -145, -195, -255
[ "A)-145", "B)-195", "C)-30", "D)-90", "E)-5" ]
A)-145
aqua_rat
a880bbe9-6c4a-4a6a-a8fe-597d04b0be74
How many positive integers less than 8,000 are there in which the sum of the digits equals 5?
[ "A)57", "B)56", "C)55", "D)54", "E)53" ]
B)56
aqua_rat
5de65e34-1566-4af3-bb3e-d77ccf093589
If 204 ÷ 12.75 = 16, then 2.04 ÷ 1.275 = ?
[ "A)16", "B)1.6", "C)0.16", "D)0.016", "E)None of these" ]
B)1.6
aqua_rat
7a4fb013-f570-41cd-8669-910625d5656e
In a deck of cards there are 50 cards numbered from 1 to 13. There are 4 cards of each number in the deck. If you insert 12 more cards with the number 10 on them and you shuffle the deck really good, what is the probability to pull out a card with a number 10 on it?
[ "A)1/4.", "B)4/17.", "C)5/29.", "D)8/31.", "E)1/3." ]
D)8/31.
aqua_rat
e245245f-983f-40e3-8adc-962946129d13
If x is a whole number, then x²(x² - 1) is always divisible by
[ "A)12-x", "B)Multiple of 12", "C)12", "D)24", "E)48" ]
C)12
aqua_rat
15e79ff8-971c-4b56-9476-95c2e5a017e2
The average of 6 no.'s is 3.95. The average of 2of them is 3.4, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's?
[ "A)2.3", "B)2.5", "C)3.5", "D)3.6", "E)4.6" ]
E)4.6
aqua_rat
c57ab4c5-3508-4341-bae1-732b2deec432
AB +BA ___ 121 In the addition problem above, A and B represent digits in two different two-digit numbers. What is the sum of A and B?
[ "A)6", "B)8", "C)9", "D)11", "E)14" ]
D)11
aqua_rat
f80876fc-5df5-42d5-9977-cf2e94483407
Calculate the average mark scored by Adam if he had the following scores in an examination: 86, 75, 72, 63 and 65 marks (out of 100) in French Language, Geography, Art and design, History and Physical Education respectively?
[ "A)39.2", "B)79.2", "C)72.2", "D)71.2", "E)76.2" ]
C)72.2
aqua_rat
ed98011d-da89-46ec-9939-3ab0bfc65950
Light glows for every 15 seconds . How many max. times did it glow between 1:57:58 and 3:20:47 am.
[ "A)380 times", "B)381 times", "C)382 times", "D)392 times", "E)331 times" ]
E)331 times
aqua_rat
0bec42d1-acca-4841-bb18-1a67336b3e01
If both 5^3 and 3^4 are factors of n x (2^5) x (12^2) x (7^3) x (10^2), what is the smallest possible positive value of n?
[ "A)15", "B)45", "C)75", "D)125", "E)150" ]
B)45
aqua_rat
20416c66-9702-4372-92c1-c4c970401999
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, the dividend is?
[ "A)5320", "B)5325", "C)5330", "D)5334", "E)5336" ]
E)5336
aqua_rat
e4ead74c-150a-4814-954e-2ae0869b13d3
Suppose, the speed of any positive integer n is defined as follows: seed(n) = n, if n < 10 = seed(s(n)), otherwise, where s(n) indicates the sum of digits of n.For example, seed(7) = 7, seed(248) = seed(2 + 4 + 8) = seed(14) = seed(1 + 4) = seed(5) = 5 etc. How many positive integers n, such that n < 500, will have seed (n) = 9?
[ "A)39", "B)72", "C)81", "D)108", "E)55" ]
E)55
aqua_rat
13521ec0-8667-4cf7-bc61-e9b3a10572b7
What is the smallest integer that satisfies the inequality ((x - 3)/ (x^2 - 8x - 20)) > 0?
[ "A)-2", "B)10", "C)-1", "D)3", "E)0" ]
C)-1
aqua_rat
142499ac-752b-472f-b943-5abef5b28e17
Eight children — A, B, C, D, E, F, G and H — are going to sit in eight chairs in a row. The children C & F have to sit next to each other, and the others can sit in any order in any remaining chairs. How many possible configurations are there for the children?
[ "A)600", "B)720", "C)10080", "D)14320", "E)14800" ]
C)10080
aqua_rat
785edcc2-f2be-406c-bd68-93774ebec2a0
Students at a school were on average 180 cm tall. The average female height was 170 cm, and the average male height was 184 cms. What was the ratio D of men to women?
[ "A) 5:2", "B) 5:1", "C) 4:3", "D) 4:1", "E) 3:1" ]
A) 5:2
aqua_rat
d0bdba1d-5668-43e6-808a-69d9c1165e20
A student has to obtain 33% of the total marks to pass. He got 125 marks and failed by 73 marks. The maximum marks are?
[ "A)450", "B)300", "C)500", "D)600", "E)175" ]
D)600
aqua_rat
98c711cf-56e4-4009-8f55-0cf1f3ea9385
Roberto has three children: two girls and a boy. All were born on the same date in different years. The sum of the ages of the two girls today is smaller than the age of the boy today, but a year from now the sum of the ages of the girls will equal the age of the boy. five years from today, the difference between the age of the boy and the combined ages of the girls will be
[ "A)1", "B)2", "C)-4", "D)–2", "E)–1" ]
C)-4
aqua_rat
be80a0f3-e2d9-48f7-9a4f-5e8f68c49939
Two trains are traveling towards the same direction. First train is moving at speed of 100 km/hour and second train 200 km/hour.When will the head of first train start overtaking the second train.
[ "A)2 hour", "B)1 hour", "C)2.5 hour", "D)3.5 hour", "E)4 hour" ]
C)2.5 hour
aqua_rat
d53e10f7-6924-4580-bb1c-bdc350db3fd9
If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in cm2) is?
[ "A)100", "B)272", "C)287", "D)189", "E)289" ]
A)100
aqua_rat
38f38f0e-7dbe-4b2f-8439-339a5ed83853
Jim is now twice as old as Fred, who is nine years older than Sam. Six years ago, Jim was five times as old as Sam. How old is Jim now?
[ "A)42", "B)46", "C)50", "D)54", "E)58" ]
B)46
aqua_rat
2a9b66a7-e653-4a3e-8729-341a400115a7
A man goes from A to B at a speed of 20 kmph and comes back to A at a speed of 30 kmph. Find his average speed for the entire journey?
[ "A)11", "B)24", "C)55", "D)66", "E)71" ]
B)24
aqua_rat
ffb0eb0e-c47c-4a63-ba83-bdcadc6cf5ac
12 : 8 seconds :: ? : 4 minutes
[ "A)10", "B)15", "C)6", "D)8", "E)7" ]
C)6
aqua_rat
508ec2fd-6653-49d9-b9f5-d38cae75762f
) A cube is painted blue on all of its surfaces. It is then cut in to 27 smaller cubes of equal size. Find how many smaller cubes have no color?
[ "A)1", "B)3", "C)8", "D)5", "E)7" ]
A)1
aqua_rat
ceba5d23-2685-4e7b-aeec-39897fbaec75
A train 700 m long can cross an electric pole in 40 sec and then find the speed of the train?
[ "A)987", "B)271", "C)72", "D)27", "E)63" ]
E)63
aqua_rat
8a95784d-e12b-43f6-812e-4bf1682de658
Find the least number must be subtracted from 964807 so that remaining no.is divisible by 8?
[ "A)7", "B)6", "C)5", "D)4", "E)3" ]
A)7
aqua_rat
9be41460-de04-40dc-9b64-f470329f6165
In 1995 a certain store had 1,800 tools in stock that had been purchased for $30 each. If 1,000 of these tools were sold in 1995 for $50 each and the remaining 800 were sold in 1996 for $60 each, how many greater was the gross profit on the tools sold in 1996 than the gross profit on those sold in 1995?
[ "A)$0", "B)$4,000", "C)$8,000", "D)$32,000", "E)$40,000" ]
B)$4,000
aqua_rat
a624ab8e-19ef-4c1e-af11-abc68fd22c6e
What is the exact probability that, when rolling six fair dice, at least one of the dice shows a 6?
[ "A)1", "B)31031/46656", "C)5/6", "D)35625/46656", "E)1/6" ]
B)31031/46656
aqua_rat
46827132-46f6-4917-8f9a-543f9d30e2d1
A family pays $900 per year for an insurance plan that pays 60 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total how much?
[ "A)$1,000", "B)$1,200", "C)$1,400", "D)$1,500", "E)$1,700" ]
E)$1,700
aqua_rat
4c85e983-e085-41cc-a6aa-14c3bc7b38ae
The sum of ages of 5 children born 3 years different each is 50 yrs. What is the age of the Elder child?
[ "A)10", "B)12", "C)16", "D)19", "E)20" ]
C)16
aqua_rat
3237798d-5b39-40c9-a3c1-c61bfbcde4c5
65% of the employees in a multinational corporation have VCD players, 75 percent have microwave ovens, 80 percent have ACs and 85 percent have washing machines. At least what percentage of employees has all four gadgets?
[ "A)(a) 15%", "B)(b) 5%", "C)(c) 10%", "D)(d) 20%", "E)(e) 25%" ]
B)(b) 5%
aqua_rat
0434eb59-eaf2-4c29-be61-1e7d56241ecb
Insert the missing number. 2, 6, 12, 20, 30, 42, (....)
[ "A)56", "B)38", "C)72", "D)66", "E)19" ]
A)56
aqua_rat
74b20493-785f-417d-926e-ad4966280dd8
A person traveled 3 equal distances 20km/hr, 30km/hr, 60km/hr then find its avg speed?
[ "A)20km/hr", "B)30km/hr", "C)22km/hr", "D)19km/hr", "E)31km/hr" ]
B)30km/hr
aqua_rat
84fcfadc-87cd-4b4b-96c3-8396253ce9cb
How many minutes will be used to cover distance of 520m, if a man running at the speed of 15km/hr?
[ "A)125 sec", "B)124 sec", "C)114 sec", "D)115 sec", "E)117 sec" ]
A)125 sec
aqua_rat
31875139-8b30-4657-819b-951990e3ce4c
A bus covered a distance of 250 km, partly at an average speed of 40 kmph and partly at 60 kmph. If the total time taken is 6 hours, then the distance covered at 40 kmph is
[ "A)220 km", "B)120km", "C)100km", "D)140km", "E)none of these" ]
A)220 km
aqua_rat
c2d0c865-593e-43a8-9061-9d35cc20e258
A and B can do a piece of work in 30 days and 30 days respectively. They work together for 10 days and B leaves. In how many days the whole work is completed?
[ "A)30days", "B)35days", "C)40days", "D)45days", "E)50days" ]
A)30days
aqua_rat
86957508-d3b6-4885-af6f-b57aff9f2841
A and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount. How much amount B have.
[ "A)83.5%", "B)87.5%", "C)88.5%", "D)89.5%", "E)Rs 484" ]
E)Rs 484
aqua_rat
a86baede-8fcc-41ae-9eb4-2d19cfc8a2bd
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
[ "A)40", "B)99", "C)77", "D)66", "E)32" ]
A)40
aqua_rat
1935b1ca-d37f-4c46-9260-b20c73a1c813
What are the last two digits of 36*28*61*83*73*62?
[ "A)11", "B)09", "C)07", "D)05", "E)04" ]
E)04
aqua_rat
669ed77c-d918-4c0e-bc77-ac8a53f1ee93
The overall age of X and Y is 11 year greater than the overall age of Y and Z. Z is how many decades younger that X?
[ "A)11", "B)15", "C)12", "D)17", "E)19" ]
A)11
aqua_rat
0f1f4354-ebc0-42f9-9ca6-7c652a305742
If x = 2^8 and x^x = 2^k, what is k?
[ "A)2^15", "B)2^14", "C)2^13", "D)2^12", "E)2^11" ]
E)2^11
aqua_rat
5e451e86-fb1e-4475-a03d-8736d87c3c87
A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
[ "A)90", "B)52", "C)63", "D)87", "E)10" ]
A)90
aqua_rat
ee719662-2527-4210-9129-ba1cbadd068a
The averge score of a cricketer for ten matches is 66 runs. If the average for the first six matches is 54. Then find the average for the last four matches?
[ "A)66", "B)83.5", "C)84", "D)95", "E)76" ]
C)84
aqua_rat
3b2c43fc-7b64-4609-b546-0cb0ab84ecdf
Two persons starting from the same place walk at a rate of 8kmph and 15kmph respectively. What time will they take to be 14 km apart, if they walk in the same direction?
[ "A)7 hrs", "B)2 hrs", "C)5 hrs", "D)12 hrs", "E)6 hrs" ]
B)2 hrs
aqua_rat
941b82f6-a4d9-474b-a134-491809a0c542
17 times a positive integer is more than its square by 70, then the positive integer is
[ "A)13", "B)10", "C)11", "D)12", "E)14" ]
B)10
aqua_rat
158832ec-5d69-42a8-aaec-56dffa4fbd00
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
[ "A)288", "B)350", "C)889", "D)276", "E)234" ]
B)350
aqua_rat
2fdb70cf-9b66-4cc9-a7fd-8d522ef07f0b
If log 2 = 0.3010 and log 3 = 0.4771, the values of log5 512 is
[ "A)3.879", "B)3.875", "C)3.872", "D)3.828", "E)3.192" ]
B)3.875
aqua_rat