mathewhe/aqua_rat huggingface dataset:
Question: Company ABC imported 10,000 widgets made of either brass or aluminum. The widgets are painted blue, red or green. If 10 percent of the widgets are made of brass and of those 20 percent are painted green and 40 percent are painted red how many brass widgets painted blue were imported?
(A) 420
(B) 400
(C) 1050
(D) 1680
(E) 2100
Rationale: Answer A.
We are told that 10% of all imported widgets are made of brass and of those, 20% are green and 40% are red. Since we know that there are only three colors, the remaining 40% must be blue. 40% blue of 10% brass widgets leads to 4% blue brass widgets out of the total 10,550 widgets.
10,000 /100 * 4 = 400.
Answer B.
Answer: (B) 400
Question: † and ¥ represent nonzero digits, and (†¥)^2 - (¥†)^2 is a perfect square. What is that perfect square?
(A) 121
(B) 361
(C) 576
(D) 961
(E) 1089
Rationale: Let the digits be a and b
(ab) can be written as (10a + b)
(ba) can be written as (10b + a)
(ab)^2 - (ba)^2 = (ab + ba)(ab - ba) = (10a + b + 10b + a)(10a + b - 10b - a) = 11(a + b)*9(a - b) = 99(a^2 - b^2)
99(a^2 - b^2) is a perfect square.
So the perfect square must be divisible by 99. Only option E is divisible by 99.
Answer: E
Answer: (E) 1089
Question: Today Joelle opened an interest-bearing savings account and deposited $10,000. If the annual interest rate is 5 percent compounded interest, and she neither deposits nor withdraws money for exactly 2 years, how much money will she have in the account?
(A) $12025
(B) $11075
(C) $11025
(D) $11095
(E) $11015
Rationale: Interest for 1st year =10000*5/100 = 500
Interest for 2nd year = 10500 *5/100 = 525
Total =10000+500+525 = 11025
Answer : C
Answer: (C) $11025
Question: Find the L.C.M of 42,88,220
(A) 1120
(B) 1320
(C) 1220
(D) 1420
(E) 1520
Rationale: 42=2*3*7 88=2^3*11 220=2^2*5*11
L.C.M=2^3*3*5*11=1320
Answer=(B)
Answer: (B) 1320
Question: √2 percent of 2√2 =
(A) 5.0
(B) 0.05
(C) 1.0
(D) 2.0
(E) 4.0
Rationale: The other solutions are great, but here's one more approach.
First, we scan the answer choices to see that they are quite spread apart. This means we can also use someAPPROXIMATION
All test-takers must memorize the following approximations:
√2 ≈ 1.4
So, √2 percent of 2√2 ≈ 1.4 percent of (2)(1.4)
≈ (1.4/100)(2.8)
≈ 3.92/100
≈ 0.03
Check the answer choices to see that B is the only answer that's close.
Answer: B
Answer: (B) 0.05
Question: A bike covers a certain distance at the speed of 45km/h in 5 hrs. If the bike was to cover the same distance in approximately 9 hrs, at what approximate speed should the bike travel?
(A) 10 km/h
(B) 15 km/h
(C) 25 km/h
(D) 35 km/h
(E) 45 km/h
Rationale: Ans.(C)
Sol. Total distance = 45 × 5 = 225 km
Now speed = 225/9 = 25 km/h
Answer: (C) 25 km/h
Question: There are three numbers. 5/7th of the first number is equal to 48% of the second number. The second number is 1/9th of the third number. If the third number is 1125, then find 25% of the first number?
(A) 45
(B) 62
(C) 87
(D) 21
(E) 82
Rationale: Let the first number and the second number be F and S respectively.
5/2 F = 48/100 S ----> (1)
S = 1/9 * 1125 = 125
(1) => 5/7 F = 48/100 * 125
=> F = 84
25% of F = 1/4 * 84 = 21.
Answer:D
Answer: (D) 21
Question: The probability that a card drawn from 52 cards will be a diamond or a king is ?
(A) 4/13
(B) 8/57
(C) 8/5
(D) 79/8
(E) 78/45
Rationale: here n(s)=52
there are 13 cards of diamond and there are 3 more kings
let E be the event getting diamond or king
then n(E)=13+3=16
p(E)=n(E)/n(s)=16/52=4/13
Answer is (A)
Answer: (A) 4/13
Question: A and B start a business with Rs.2000 and Rs.4000 respectively. Hoe should they share their profits at the end of one year?
(A) 3:5
(B) 3:4
(C) 3:9
(D) 3:1
(E) 1:2
Rationale: They should share the profits in the ratio of their investments.
The ratio of the investments made by A and B =
2000 : 4000=> 1:2,Answer: E
Answer: (E) 1:2
Question: How many kgs. of wheat costing Rs. 5 per kg must be mixed with 45 kg of rice costing Rs. 6.40 per kg so that 20% gain may be obtained by selling the mixture at Rs. 7.20 per kg ?
(A) 18
(B) 99
(C) 77
(D) 26
(E) 11
Rationale: If the selling price of the mixture is Rs.7.2 when sold at 20% profit then
CP ×120100×120100 = 7.2 ⇒⇒ CP = Rs.6
Now by applying weighted average formula = K×5+45×6.4K+45=6K×5+45×6.4K+45=6
⇒⇒ K = 18 kgs
Answer:A
Answer: (A) 18
Question: One-third less than 25% of 180 is equal to:
(A) 15
(B) 30
(C) 35
(D) 40
(E) 45
Rationale: Lots of ways to tackle this.
25% of 180 = 45
1/3 of 45 = 15
So, 1/3 less than 45 is equal to 45 - 15 = 30
Answer: B
Answer: (B) 30
Question: An article is bought for Rs.600 and sold for Rs.500, find the loss percent?
(A) 16 2/8%
(B) 16 3/3%
(C) 19 2/3%
(D) 16 2/3%
(E) 16 8/3%
Rationale: 600 ---- 100
100 ---- ? => 16 2/3%
Answer: D
Answer: (D) 16 2/3%
Question: A person borrows 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 61⁄4 % p.a. for 2 years. Find his gain in the transaction per year.
(A) 112.50
(B) 125
(C) 150
(D) 167.5
(E) None of these
Rationale: Gain in 2 years
= [(5000×25/4×2/100)−(5000×4×2/100)]
= (625 – 400) = 225.
∴ Gain in 1 year = (225⁄2) = 112.50
Answer A
Answer: (A) 112.50
Question: A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After one year A removed his money; B and C continued the business for one more year. If the net profit after 2 years be Rs.3200, then A's share in the profit is?
(A) 299
(B) 267
(C) 269
(D) 400
(E) 276
Rationale: 2*12 : 3*12 : 4*24
1: 3: 4
1/8 * 3200 = 400
Answer: D
Answer: (D) 400
Question: Draw one card from an ordinary deck of card and what are the chances it will be a King or Club?
(A) 4 in 52
(B) 1 in 52
(C) 4 in 13
(D) 1 in 13
(E) 1 in 12
Rationale: To write this as a simple mathematical solution:
13/52 + 4/52 -1/52 = 16/52 = 4/13
(Suits of Clubs) + (Number of Kings) - (Kings of Clubs) = 16/52 = 4/13
Correct answer is C.
Answer: (C) 4 in 13
Question: A certain set of numbers has an average (arithmetic mean) of 50 and a standard deviation of 50.5. If a and n, two numbers in the set, are both within 2 standard deviations from the average, then which of the following could be the sum of a and n?
(A) -200
(B) -130
(C) -104
(D) 51
(E) 305
Rationale: 2 standard deviations from the average is frommean - 2*SDtomean + 2*SD, thus from 50-2*50.5=51 to 50+2*50.5=151:
-51 < a < 151
-51 < n < 151
-102 < a+n < 302.
Only option D is in this range.
Answer: D.
Answer: (D) 51
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 700 more than D, what is B's share?
(A) Rs. 500
(B) Rs. 1400
(C) Rs. 2000
(D) Rs. 2500
(E) none of the above
Rationale: Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.
Then, 4x - 3x = 700
x = 700.
B's share = Rs. 2x = Rs. (2 x 700) = Rs. 1400.
Answer = B
Answer: (B) Rs. 1400
Question: Approximately how many cubic feet of water are needed to fill a circular swimming pool that is 100 feet across and 4 feet deep?
(A) 15000
(B) 30000
(C) 50000
(D) 70000
(E) 90000
Rationale: Answer Should be B.
V= \pir^2h= \pi*50^2*4= approximately 30000
Answer: (B) 30000
Question: A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 140 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
(A) 28 sec
(B) 16 sec
(C) 38 sec
(D) 18 sec
(E) 17 sec
Rationale: Speed of train relative to jogger = 45 - 9 = 36 km/hr.
= 36 * 5/18 = 10 m/sec.
Distance to be covered = 240 + 140 = 380 m.
Time taken = 380/10 = 38 sec.
Answer:C
Answer: (C) 38 sec
Question: In a certain state, the ratio of registered Republicans to registered Democrats is 3 to 2, and every registered voter is either a Republican or a Democrat. If 80 percent of the Republicans and 25 percent of the Democrats are expected to vote for Candidate X, and everyone else is expected to vote for Candidate Y, by what percent is Candidate X expected to win the election?
(A) 2%
(B) 5%
(C) 16%
(D) 20%
(E) 25%
Rationale: Since we were expected to find a percentage figure - It thought that it might be easier to pick a 'smart number' to represent the total number of voters (republicans and democrats). Therefore, I picked 100 (as the total number of voters) and thus 30:20 represents the number ratio of Republicans:Democrats. If 80% of Republicans (which is (60*0.8) = 48) and 25% of Democrats (40*0.25 = 10) voted for candidate X, means that out of total of 100 voters; 58 (48 + 10) voters voted for candidate X and 42 voted for candidate Y. Thus we can infer that candidate X is expected to win the election by 16 (58-42) votes. Therefore candidate X is expected to win the election by (16/100) votes which is equivalent to 16%.
I think the answer is C.
Answer: (C) 16%
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?
(A) 23/35
(B) 23/38
(C) 23/29
(D) 23/12
(E) 23/11
Rationale: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.
Probability that at least one green marble can be picked in the random draw of two marbles = Probability that one is green + Probability that both are green
= (⁶C₁ * ⁹C₁)/¹⁵C₂ + ⁶C₂/¹⁵C₂
= (6 * 9 * 2)/(15 * 14) + (6 * 5)/(15 * 14) = 36/70 + 1/7
= 46/70 = 23/35
Answer:A
Answer: (A) 23/35
Question: In how many years Rs 160 will produce the same interest at 8% as Rs. 500 produce in 4 years at 8%
(A) 13
(B) 13.5
(C) 11.5
(D) 12.5
(E) 12
Rationale: Explanation:
Clue:
Firstly we need to calculate the SI with prinical 500,Time 4 years and Rate 8%, it will be Rs. 160
Then we can get the Time as
Time = (100*160)/(160*8) = 12.5
Option D
Answer: (D) 12.5
Question: Revenues were recorded for Store A and Store B over a period of three months. In the first month, Store A's revenues were $40,000 higher than Store B's revenues. In the second month, Store A's revenues were $10,000 higher than Store B's revenues. If Store A's average (arithmetic mean) monthly revenue for the three months was $2,000 greater than Store B's average monthly revenue, then Store B's revenue in the third month was how much greater than Store A's revenue?
(A)  $14,000
(B)  $15,000
(C)  $44,000
(D)  $46,000
(E)  $50,000
Rationale: Answer: CIt may be tempting to come up with a lot of variables, one each for each month's revenue for each company. However, focus on the differences. In the first month, the difference was +40 in favor of A. (Note that we can drop the thousands since every number in the question is in terms of thousands.) In the second, the difference was +10 in favor of A. The average was +2 in favor of A. With these numbers, use the average formula to find the third month (T):
(40 + 10 + T)/3 = 2
50 + T = 6
T = -44
Since positive numbers indicate a difference in favor of A, negative numbers are in favor of B. -44 represents a $44,000 advantage in favor of Store B. Choice (C) is correct.
Answer: (C)  $44,000
Question: 7^6 + 7^6 + 7^6 + 7^6 =
(A) 7^7
(B) 4^6
(C) 4^8
(D) 4^9
(E) 4^12
Rationale: Hi shakticnb,
Certain Quant questions on the GMAT are just about 'organizing' the information in a specific way. If you find yourself getting confused by a prompt, think about how you might change the way that the information is presented to you.
Here, for example, we're asked for....
7^6 + 7^6 + 7^6 + 7^6 =
Now, the GMAT doesn't really expect us to calculate this sum (but we could if we had to), but we are expected to find a way to organize this information... If, instead of all of those exponents, we had...
X + X + X + X =
What would the sum be?
Clearly, it would be 4(X) = 4X.....since we're just combining 'like' terms. Take that same idea with this prompt and you have...
7^6 + 7^6 + 7^6 + 7^6 =
7(7^6)
This can be re-written as...
(7^1)(7^6)
...and now we can use exponent rules; since we're MULTIPLYING 'bases' that are the same, we ADD the exponents...
(7^1)(7^6) = 7^7
Final Answer:
A
Answer: (A) 7^7
Question: The value of x + x(x^x) when x = 3 is
(A) 84
(B) 88
(C) 45
(D) 90
(E) 55
Rationale: Solution:
x + x(x^x)
Put the value of x = 3 in the above expression we get,
3 + 3(3^3)
= 3 + 3(3 Ã— 3x3)
= 3 + 3(27)
= 3 + 81
= 84
Answer: (a)
Answer: (A) 84
Question: a train length 100 m going with speed 10m/sec another train 150m long going with speed 15m/sec.the distance between two train is 50m.then how much time second train will take to cross the first train?
(A) 60sec
(B) 40sec
(C) 30sec
(D) 45sec
(E) 1min10sec
Rationale: net speed=15-10=5m/sec
net distance=100+150+50=300
total time =300/5=60sec
answer A
Answer: (A) 60sec
Question: A toothed wheel of diameter 50cm is attached to a smaller wheel of diameter 30cm. How many revolutions will the smaller wheel make when the larger one makes 15 revolutions?
(A) 18
(B) 20
(C) 25
(D) 30
(E) 32
Rationale: Distance moved by toothed wheel in 15 revolutions= (15*2*22/7*25)
Distance moved by smaller wheel in 1 revolution= (2*22/7*15)
Therefore, required number of revolutions= (15*44/7*25*7/ 44*15)= 25
ANSWER:C
Answer: (C) 25
Question: The cash difference between the selling prices of an book at a profit of 8% and 16% is $3. The ratio of the two selling prices is:
(A) 55:23
(B) 52:33
(C) 52:53
(D) 27:29
(E) 51:34
Rationale: Let C.P. of the book be $x.
Then, required ratio = 108% of x / 116% of x
= 108/116 = 27/29 = 27:29
D
Answer: (D) 27:29
Question: A table is bought for Rs.900/- and sold at Rs.810/- find the loss percentage
(A) 10% Loss
(B) 10% Gain
(C) 20% Loss
(D) 20% Gain
(E) 30% Gain
Rationale: Formula = (Selling price ~ Cost price)/Cost price * 100
= (810 ~ 900)/900 = 10% Loss
A
Answer: (A) 10% Loss
Question: How many multiples of 3 are there between 5 and 59, 5 and 59 inclusive ?
(A) 16
(B) 22
(C) 18
(D) 11
(E) 9
Rationale: 3 multiples are ...6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,...,
the answer is =18
Answer is C
Answer: (C) 18
Question: Which of these lines in the xy-plane does not contain any point with two negative coordinates?
(A) y = 3x
(B) y = x + 8
(C) y = x^2 - 4
(D) y = x^3 + 2x
(E) y = x^2
Rationale: x^2 is 0 when x is 0 and positive for all other values of x.
The answer is E.
Answer: (E) y = x^2
Question: One card is randomly drawn from a pack of 52 cards. What is the probability that the card drawn is a face card(Jack, Queen or King)
(A) 1/15
(B) 2/74
(C) 4/18
(D) 3/13
(E) 9/15
Rationale: Explanation :
Total number of cards, n(S) = 52
Total number of face cards, n(E) = 12
P(E)=n(E)/n(S)=12/52=3/13
D
Answer: (D) 3/13
Question: A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:
(A) 12 kg
(B) 60 kg
(C) 72 kg
(D) 88 kg
(E) 96 kg
Rationale: Volume of water displaced	= (3 x 2 x 0.01) m3
= 0.06 m3.
Mass of man	= Volume of water displaced x Density of water
= (0.06 x 1000) kg
= 60 kg.
Answer: Option B
Answer: (B) 60 kg
Question: 3 Years ago, the average age of a family of 5 members was 19 years. A baby having been born, the average age of the family is the same today. The present age of the baby is
(A) 1 year.
(B) 1.5 Years.
(C) 2 Years.
(D) 3 Years.
(E) 4 Years.
Rationale: We're told that 3 YEARS AGO, the average age of a family of 5 members was 19 years.
This means that the SUM of their ages was (5)(19) = 95 years.
A baby was born (meaning that there are now 6 family members). We're told that the PRESENT average age of the family members is the SAME.
This means that the sum of the ages is (6)(19) = 114 years.
We're asked for the PRESENT age of the baby.
Since each of the original 5 family members has aged 3 years since the initial average was calculated, the sum of their PRESENT ages is...
95 + (5)(3) = 110.
114-110 =4
E
Answer: (E) 4 Years.
Question: By travelling at 30 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?
(A) 19 kmph
(B) 15 kmph
(C) 12 kmph
(D) 20 kmph
(E) 23 kmph
Rationale: Let the time taken to reach the destination be 3x hours. Total distance = 30 * 3x = 90x km
He covered 2/3 * 90x = 60x km in 1/3 * 3x = x hours So, the remaining 30x km, he has to cover in 2x hours. Required speed = 30x/2x
=15 kmph.
Answer: B
Answer: (B) 15 kmph
Question: A grocery store has a surplus of cakes, so they price them at 10% off the wholesale price of $8.50. An employee uses their employee discount to get a further 10% discount off a cake. How much does that employee pay? Round your answer to the nearest hundredth decimal place.
(A) $7.00
(B) $6.80
(C) $6.89
(D) $7.65
(E) $6.88
Rationale: Wholesale price of cake = $8.50
Cake was priced at 10% below $8.50 = $7.65
% discount given by employee discount = 10%
Employee paid = .9 * 7.65 = $6.885
Rounded to nearest hundredth = $6.89
Answer C
Answer: (C) $6.89
Question: The current birth rate per certain number of people is 52, whereas corresponding death rate is 16 per same number of people. If the net growth rate in terms of population increase is 1.2 percent, find number of persons.(initally)
(A) 4000
(B) 2000
(C) 3000
(D) 5000
(E) 1000
Rationale: Sol.
Net growth on X = (52- 16) =36.
Net growth on 100 = (36/X Ã— 100)% =1.2%. Then X = 3000
Answer:C
Answer: (C) 3000
Question: The difference between two numbers is 1365. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number is
(A) 240
(B) 250
(C) 260
(D) 270
(E) None
Rationale: Solution
Let the numbers be x and x(x+1365).
Then, x+1365
= 6x + 15
‹=›5x = 1350.
‹=›x = 270.
Answer D
Answer: (D) 270
Question: Which of the following CANNOT be a value of 4/(x–4)?
(A) -1
(B) -1/2
(C) 0
(D) 2
(E) 6
Rationale: The question doesn't ask for the value of x here, but for the possible results of the equation.
If 4/(x-4) = 0, then the numerator must be 0. But since the numerator is 4, the fraction can not be equal to 0.
The answer is C.
Answer: (C) 0
Question: Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is
(A) 4 days
(B) 6 days
(C) 10 days
(D) 16 days
(E) 22 days
Rationale: Ratio of times taken by Sakshi and Tanya = 125 : 100 = 5 : 4.
Suppose Tanya takes x days to do the work.
5 : 4 :: 20 : x x = 4 x 20/5
x = 16 days.
Hence, Tanya takes 16 days to complete the work. answer :D
Answer: (D) 16 days
Question: One night a certain hotel rented 2/3 of its rooms, including 2/3 of their air conditioned rooms. If 3/5 of its rooms were air conditioned, what percent of the rooms that were not rented were air conditioned?
(A) 50%
(B) 60%
(C) 65%
(D) 70%
(E) 75%
Rationale: The rooms which were not rented is 1/3
The AC rooms which were not rented is (1/3)*(3/5) = 1/5
The percentage of unrented rooms which were AC rooms is (1/5) / (1/3) = 3/5 = 60%
The answer is B.
Answer: (B) 60%
Question: Speed of a man with current measures 15 km/hr. Speed of current is 2.5 km/hr. What is the speed of man against the current?
(A) 12.5 kmph
(B) 10 kmph
(C) 9 kmph
(D) 8.5 kmph
(E) None of these
Rationale: Explanation:
Let the speed of man in still water be x km/hr
Now, speed with current=15 km/hr
Speed of current: 2.5 km/hr
Speed of man with current: Speed of man in still water+Speed of current
=>15=x+2.5
=>x=12.5
Speed of man against the current: Speed of man in still water-Speed of current
=>12.5-2.5
=>10 km/hr
ANSWER B
Answer: (B) 10 kmph
Question: 2+3=8,
3+7=27,
4+5=32,
5+8=60,
6+7=72,
7+8=??
Solve it?
(A) 59
(B) 65
(C) 87
(D) 72
(E) 98
Rationale: 2+3=2*[3+(2-1)]=8
3+7=3*[7+(3-1)]=27
4+5=4*[5+(4-1)]=32
5+8=5*[8+(5-1)]=60
6+7=6*[7+(6-1)]=72
therefore
7+8=7*[8+(7-1)]=98
x+y=x[y+(x-1)]=x^2+xy-x
Answer: (E) 98
Question: The length of a rectangular hall is 5 m more than its breadth. The area of the hall is 7502. The length of the hall is :
(A) 15m
(B) 22.5m
(C) 25m
(D) 30m
(E) None of these
Rationale: Solution
Let breadth = x metres. Then, length = (x + 5) metres.
Then, x(x + 5) = 750 ⇔ x2 + 5x - 750 = 0 ⇔ (x + 30) (x - 25) = 0 ⇔ x = 25.
∴ Length = (x + 5) = 30 m Answer D
Answer: (D) 30m
Question: The speed of a boat in upstream is 60 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) 10
(B) 99
(C) 77
(D) 62
(E) 12
Rationale: Speed of the boat in still water = (60+80)/2 = 70 kmph. Speed of the stream
= (80-60)/2 = 10 kmph.
Answer: A
Answer: (A) 10
Question: A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
(A) 6
(B) 8
(C) 9
(D) 7
(E) 5
Rationale: 30 --- 3 DS = 10
? ---- 1
18 ---- 3 US = 6
? ---- 1 M = ?
M = (10 + 6)/2 = 8
Answer: B
Answer: (B) 8
Question: A is twice as good a workman as B and they took 5 days together to do the work B alone can do it in?
(A) 15 days
(B) 88 days
(C) 21 days
(D) 11 days
(E) 13 days
Rationale: WC = 2:1
2x + x = 1/5
x = 1/15 => 15 days
Answer: A
Answer: (A) 15 days
Question: A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. What is the share of B in the profit.
(A) 2610
(B) 2650
(C) 2630
(D) 2670
(E) 2660
Rationale: A is a working member and for that, he receives 5% of the profit
= 5% of 7400 =5×7400/100=370
Remaining amount =7400−370=7030
Ratio of their investments
=6500×6:8400×5:10000×3
=65×6:84×5:100×3
=13×6:84:20×3
=13×2:28:20
=13:14:10
Share of B in the profit
=7030×14/37
=190×14=2660
Answer is E.
Answer: (E) 2660
Question: A can complete the job in 6 hours and B can complete the same job in 3 hours. A works for 1 hour and then B joins and both complete the job. What fraction of the job did B complete
(A) 1/9
(B) 3/10
(C) 1/2
(D) 5/6
(E) 8/9
Rationale: A=1/9
Answer: (A) 1/9
Question: A pump can fill a tank with water in 3 hours. Because of a leak, it took 7 hours to fill the tank. The leak can drain all the water in ?
(A) 15hr 10min
(B) 16hr 20min
(C) 5hr 15min
(D) 15hr
(E) 14hr 25min
Rationale: Work done by the leak in 1 hour = 1/3 - 1/7 = 4/21
Leak will empty the tank in 21/4 hrs = 5hr 15min
Answer is C
Answer: (C) 5hr 15min
Question: The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period(in years) is?
(A) 2
(B) 2 1/2
(C) 3
(D) 4
(E) 5
Rationale: Explanation:
Amount = (30000 + 4347) = Rs. 34347
Let the time be n years. Then,
30000(1 + 7/100)n = 34347
= (107/100)n = 34347/30000 = (107/100)2
n = 2 years.
ANSWER IS A
Answer: (A) 2
Question: The first term in a sequence is 1 and the second term is 9. From the third term on each term is the average (arithmetic mean) of all preceding terms. What is the 28th term in the sequence?
(A) 4
(B) 5
(C) 9
(D) 28
(E) 50
Rationale: The third term is 5 since this is the average of 1 and 9.
Then the next terms will all be 5 since the average stays at 5.
The answer is B.
Answer: (B) 5
Question: At Ram's party, there were five times as many females as males. There were three times as many adults as children. Which of the following could NOT be the number of people at the party?
(A) 384
(B) 258
(C) 216
(D) 120
(E) 72
Rationale: we have to work on the info and understand what that info takes us to...
1) there were five times as many females as males At Ram's party..
this means F=5M.. so total number=6M..
2) There were three times as many adults as children..
A=3C...
or total = 4C..
so the total is 4C or 6M..
since C and M have to be positive integers, we can say for sure that Total is a multiple of 4 and 6..
or Total is multiple of LCM of 4,6..
LCM of 4,6= 12..
lets see which number is not multiple of 12..
A. 384...12*32
B. 258... no
C. 216....12*18
D. 120....12*10
E. 72......12*6..
so B is our answer..
Answer: (B) 258