Quantitative Aptitude Quiz – 80 (Mixed)

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Welcome To D2G’s. This Quiz deals with some important quant questions with required explanations for your practice. It may help you in LIC AAO and IBPS SO exam preparation. Untill You Spread Your Wings, You Have No Idea How Far You Will Fly. Keep Learning.

1. The content of two vessels containing water and milk are in the ratio 2 : 3 and 3 : 5 are mixed in the ratio 1 : 2. The resulting mixture will have water and milk in the ratio?
a) 24 : 37
b) 23 : 37
c) 23 : 35
d) 25 : 37
e) None of these

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Answer b) 23 : 37
Explanation:
Required ratio = (2/5 * 1/3 + 3/8 * 2/3) / (3/5 * 1/3 + 5/8 * 2/3) = (16 + 30)/(24 + 50) = 46/74 = 23 : 37.

2. Anant and Anish started a business, Anish puts in double what Anant puts. Anish withdraws one-third of his capital at the end of 3 months but at the end of 7 months puts back one-third of what he has taken out, when Anant takes out one-fourth of his capital. Anish receives Rs.6000 as profit at the end of the year, what does Anant receive?
a) Rs.3375
b) Rs.3265
c) Rs.3195
d) 3485
e) None of these

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Answer a) Rs.3375
Explanation:
Let Anant’s capital be Rs.X
and Anish’s capital be Rs.2X
Now, Anish’s profit : Anant’s profit = 2X*3 + 2X *2/3 * 4 + 14X/9 * 5
=>X*7 + 3X/4 * 5 = 16 : 9
Then, Share of Anant = 6000/16 * 9 = Rs.3375.

3. The difference between a discount of 36% and two successive discount of 20% and 25% on a certain bill was Rs.28. Find the amount of the bill?
a) Rs.750
b) Rs.760
c) Rs.700
d) Rs.720
e) None of these

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Answer c) Rs.700
Explanation:
Single discount of 20% and 25% = 20 + 25 – (20*25)/100 = 40%
Amount of the bill = 28 * 100/(40 – 36) = Rs.700.

4. A reduction of 27/2% in the price of oranges enables a person to buy 6 more for Rs.2. What is the reduced price of per oranges?
a) Rs.11/200
b) Rs.9/200
c) Rs.7/200
d) Can’t be determined
e) None of these

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Answer b) Rs.9/200
By short-cut
Reduced price per orange = (27*2) / (2*6*100) = Rs.9/200.

5. A batsman in his twenty first innings missed a century by 3 runs and there by increases his average by 2. What is his average after twenty first innings?
a) 56
b) 58
c) 59
d) 57
e) None of these

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Answer d) 57
Explanation:
Average after twenty first inning = 97 – 21*2 + 2 = 57.

6. Two-third of a commodity is sold at 27% profit, one-fifth is sold at 20% profit and the rest at 15% profit. If the total profit of Rs.87 is earned, find the value of the commodity?
a) Rs.382.5
b) Rs.352.6
c) Rs.362.5
d) Rs.372.5
e) None of these

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Answer c) Rs.362.5
Explanation:
Value of commodity = (87*100) / (2/3 * 27 + 1/5 * 20 + 2/15 * 15) = (87*100)/(18+4+2) = Rs.362.5.

7. A cistern is normally filled in 7 hours but takes 2 hours longer to fill because of leak in its bottom. If the cistern is full, then the leak will empty the cistern in how many hours?
a) 32.1
b) 31.5
c) 36.4
d) 30.5
e) None of these

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Answer b) 31.5
Explanation:
By short-cut,
The leak will empty in = {7 * (7 + 2)}/2 = 31.5 hours.

8. From a pack of 52 cards, 2 cards are drawn, what is the probability that the card drawn is of heart?
a) 3/51
b) 5/51
c) 4/51
d) 7/51
e) None of these

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Answer a) 3/51
Explanation:
Required probability = 13C2/52C2 = 3/51.

9. Bajirao got 30% of the maximum marks in an examination and failed by 10 marks. However, Mastani who took the same examination got 40% of the total marks and got 15 marks more than the passing marks. What were the passing marks in the examination?
a) 35
b) 75
c) 250
d) 85
e) None of these

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Answer d) 85
Explanation:
40% – 30% = 15 + 25 =>10% = 25 => 100% = 250
Passing marks = 30% of 250 + 10 = 75 + 10 = 85.

10. A boat covers a certain distance downstream in 1 hour, while it comes back in 3/2 hours. If the speed of the stream be 3 km/h, what is the speed of the boat in still water? (km/h)
a) 15
b) 20
c) 30
d) 10
e) None of these

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Answer a) 15
Explanation:
Let,  speed of water in still water = X, Given speed of stream = 3km/h
Downstream = (X + 3) km/h, Upstream = (X – 3) km/h
Distance same here for both..Down stream in 1 hr = Upstream in 3/2 hr
Now, (X + 3)*1 = (X – 3)*3/2 =>2(X + 3) = 3(X – 3) =>2X + 6 = 3X – 9 =>X = 15km/h.

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