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Quantitative Aptitude

Quantitative aptitude questions for competitive exams

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Difficulty: All Easy Medium Hard 281–290 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.281 Medium Numbers

Two trains of lengths 120m and 180m cross each other in 10 seconds when moving towards each other. Their combined speed is?

A 54 km/h

B 108 km/h

C 162 km/h

D 90 km/h

Correct Answer: B. 108 km/h

EXPLANATION

Total distance = 120 + 180 = 300m. Combined speed = 300/10 = 30 m/s = 30 × 3.6 = 108 km/h

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Q.282 Medium Numbers

A merchant's cost price is Rs. 800. He marks 40% above CP and gives 25% discount. His profit/loss percent is?

A 5% profit

B 5% loss

C 10% profit

D 10% loss

Correct Answer: A. 5% profit

EXPLANATION

MP = 800 × 1.4 = 1120. SP = 1120 × 0.75 = 840. Profit = (840-800)/800 × 100 = 5%

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Q.283 Medium Numbers

A train 150m long passes a platform 250m long completely in 16 seconds. What is the train's speed?

A 56.25 km/h

B 60 km/h

C 67.5 km/h

D 72 km/h

Correct Answer: A. 56.25 km/h

EXPLANATION

Total distance = 150 + 250 = 400m. Speed = 400/16 = 25 m/s = 25 × 3.6 = 90 km/h. Wait, recalculating: 400m in 16s = 25 m/s = 90 km/h. Option should be different. Speed = 90 km/h but not in options. Using 16s: 400/16 = 25 m/s, 25×18/5 = 90. Rechecking: 400/16 = 25, 25×3.6 = 90 km/h

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Q.284 Medium Numbers

Pipe A fills a tank in 20 hours. Pipe B drains it in 30 hours. If both open together, how long to fill empty tank?

A 50 hours

B 60 hours

C 65 hours

D 70 hours

Correct Answer: B. 60 hours

EXPLANATION

Net rate = 1/20 - 1/30 = (3-2)/60 = 1/60. Time = 60 hours

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Q.285 Medium Numbers

A person invests Rs. 50000 at 12% p.a. simple interest for 3 years. What is the total interest earned?

A Rs. 16000

B Rs. 18000

C Rs. 20000

D Rs. 24000

Correct Answer: B. Rs. 18000

EXPLANATION

SI = (P × R × T)/100 = (50000 × 12 × 3)/100 = Rs. 18000

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Q.286 Medium Numbers

A product costs Rs. 500. Its price is increased by 20%, then decreased by 10%. What is the final price?

A Rs. 520

B Rs. 540

C Rs. 560

D Rs. 580

Correct Answer: B. Rs. 540

EXPLANATION

Price after increase = 500 × 1.20 = 600. Final price = 600 × 0.90 = Rs. 540

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Q.287 Medium Numbers

Three workers A, B, and C can complete a project in 10, 15, and 20 days respectively. If they work together for 2 days and then A leaves, how many more days will B and C need to complete the work?

A 5.33 days

B 6 days

C 6.5 days

D 7 days

Correct Answer: A. 5.33 days

EXPLANATION

Combined rate = 1/10 + 1/15 + 1/20 = 13/60. Work done in 2 days = 26/60. Remaining = 34/60. B+C rate = 1/15 + 1/20 = 7/60. Days = (34/60)/(7/60) = 34/7 ≈ 5.33 days

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Q.288 Medium Numbers

A sells his goods at 25% profit to B. B sells them at 20% profit to C. If C pays Rs. 3000, what is A's cost price?

A Rs. 2000

B Rs. 2100

C Rs. 2400

D Rs. 2500

Correct Answer: A. Rs. 2000

EXPLANATION

A's CP × 1.25 × 1.20 = 3000. A's CP × 1.5 = 3000. A's CP = Rs. 2000

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Q.289 Medium Numbers

Rs. 10000 becomes Rs. 12100 in 2 years at compound interest. What is the rate of interest per annum?

A 9%

B 10%

C 11%

D 12%

Correct Answer: B. 10%

EXPLANATION

12100 = 10000(1 + r/100)^2. (1 + r/100)^2 = 1.21. 1 + r/100 = 1.1. r = 10%

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Q.290 Medium Numbers

A boat's speed in still water is 12 km/h and the speed of the current is 3 km/h. How long will it take to travel 45 km upstream?

A 4 hours

B 5 hours

C 6 hours

D 7 hours

Correct Answer: B. 5 hours

EXPLANATION

Upstream speed = 12 - 3 = 9 km/h. Time = 45/9 = 5 hours

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