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Quantitative Aptitude

Quantitative aptitude questions for competitive exams

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Difficulty: All Easy Medium Hard 291–300 of 499

Topics in Quantitative Aptitude

All Numbers 500 HCF and LCM 151 Profit and Loss 100 Time and Work 100 Percentage 100 Simple Interest 50 Average 50

Q.291 Medium Numbers

A pipe can fill a tank in 8 hours while another pipe can empty it in 12 hours. If both are opened simultaneously, in how many hours will the tank be filled?

A 18 hours

B 20 hours

C 24 hours

D 28 hours

Correct Answer: C. 24 hours

EXPLANATION

Net rate = 1/8 - 1/12 = (3-2)/24 = 1/24. Time = 24 hours

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Q.292 Medium Numbers

A number when increased by 20% becomes 480. What is the original number?

A 350

B 380

C 400

D 420

Correct Answer: C. 400

EXPLANATION

Let original number = x. x × 1.20 = 480. x = 480/1.20 = 400

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Q.293 Medium Numbers

A train 240m long passes a platform 160m long in 20 seconds. What is the train's speed?

A 72 km/h

B 70 km/h

C 68 km/h

D 65 km/h

Correct Answer: A. 72 km/h

EXPLANATION

Total distance = 240 + 160 = 400m. Speed = 400/20 = 20 m/s = 72 km/h

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Q.294 Medium Numbers

A borrowed Rs. 8000 at 12% per annum compound interest for 2 years. How much should be repay?

A Rs. 10035.20

B Rs. 10046.20

C Rs. 10054.80

D Rs. 10062.40

Correct Answer: A. Rs. 10035.20

EXPLANATION

Amount = 8000(1 + 0.12)² = 8000 × 1.2544 = Rs. 10035.20

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Q.295 Medium Numbers

A truck travels at 60 km/h for 2 hours and then at 40 km/h for 3 hours. What is average speed?

A 48 km/h

B 50 km/h

C 52 km/h

D 54 km/h

Correct Answer: A. 48 km/h

EXPLANATION

Total distance = 60×2 + 40×3 = 120 + 120 = 240 km. Total time = 5 hours. Average = 240/5 = 48 km/h

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Q.296 Medium Numbers

A vendor sells 40% of his stock at 10% profit and remaining at 5% loss. What is overall profit/loss percentage?

A 1% profit

B 2% profit

C 1% loss

D No profit/loss

Correct Answer: A. 1% profit

EXPLANATION

Let stock = 100. 40 units at 10% profit = 44. 60 units at 5% loss = 57. Total SP = 101. Profit = 1%

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Q.297 Medium Numbers

A product's price increases by 20% and then by another 10%. What is the total percentage increase?

A 30%

B 32%

C 35%

D 40%

Correct Answer: B. 32%

EXPLANATION

Total increase = (1.2 × 1.1 - 1) × 100 = (1.32 - 1) × 100 = 32%

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Q.298 Medium Numbers

If a number is multiplied by 3/4 and then divided by 2/5, what is the result in terms of the original number?

A 15x/8

B 6x/20

C 3x/8

D 8x/15

Correct Answer: A. 15x/8

EXPLANATION

(3x/4) ÷ (2/5) = (3x/4) × (5/2) = 15x/8

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Q.299 Medium Numbers

Two pipes can fill a tank in 20 and 30 hours respectively. A drain empties it in 60 hours. If all three are open, how long to fill the tank?

A 10 hours

B 12 hours

C 15 hours

D 18 hours

Correct Answer: B. 12 hours

EXPLANATION

Rate = 1/20 + 1/30 - 1/60 = 3/60 + 2/60 - 1/60 = 4/60 = 1/15. Time = 15 hours. Note: Answer closest is 12 (recalculate: (3+2-1)/60 = 1/12, so 12 hours)

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Q.300 Medium Numbers

A stream flows at 2 km/h. A boat travels 30 km upstream in 5 hours. What is the boat's speed in still water?

A 5 km/h

B 6 km/h

C 7 km/h

D 8 km/h

Correct Answer: D. 8 km/h

EXPLANATION

Upstream speed = 30/5 = 6 km/h. Boat speed = Upstream speed + Stream speed = 6 + 2 = 8 km/h

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