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Quantitative Aptitude

Quantitative aptitude questions for competitive exams

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Difficulty: All Easy Medium Hard 151–160 of 429

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.151 Easy HCF and LCM

A train 150m long crosses a platform of 250m in 20 seconds. Find its speed in km/h.

A 54 km/h

B 72 km/h

C 81 km/h

D 90 km/h

Correct Answer: B. 72 km/h

EXPLANATION

Distance = 150 + 250 = 400m. Speed = 400/20 = 20 m/s = 20×3.6 = 72 km/h.

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Q.152 Easy HCF and LCM

Two pipes A and B fill a tank in 20 and 30 minutes respectively. A leak empties it in 60 minutes. How long to fill the tank with all three?

A 15 minutes

B 18 minutes

C 12 minutes

D 20 minutes

Correct Answer: A. 15 minutes

EXPLANATION

Rate = 1/20 + 1/30 - 1/60 = 3/60 + 2/60 - 1/60 = 4/60 = 1/15. Time = 15 minutes.

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Q.153 Easy HCF and LCM

A man invests ₹50,000 at 12% per annum SI for 2 years. If he had invested at CI instead, what additional amount would he earn?

A ₹720

B ₹1,200

C ₹1,440

D ₹2,000

Correct Answer: A. ₹720

EXPLANATION

SI = 50000×12×2/100 = ₹12,000. CI = 50000(1.12)² - 50000 = ₹12,720. Difference = ₹720.

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Q.154 Easy Numbers

A person's salary increases by 15% and then decreases by 10%. What is the net change in his salary?

A 3.5% increase

B 5% increase

C 3.5% decrease

D 5% decrease

Correct Answer: A. 3.5% increase

EXPLANATION

Let initial salary = 100. After 15% increase = 115. After 10% decrease = 115 × 0.90 = 103.5. Net change = 3.5% increase

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Q.155 Easy Numbers

A sum becomes 4 times itself in 15 years at simple interest. What is the rate of interest per annum?

A 15%

B 20%

C 25%

D 30%

Correct Answer: B. 20%

EXPLANATION

If sum becomes 4 times, SI = 3P. SI = P×R×T/100 → 3P = P×R×15/100 → R = 20% p.a.

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Q.156 Easy Numbers

A shopkeeper marks goods at 60% above cost price. If he gives a discount of 25% on marked price, what is his profit percentage?

A 20%

B 25%

C 30%

D 35%

Correct Answer: A. 20%

EXPLANATION

Let CP = 100. MP = 160. After 25% discount, SP = 160 × 0.75 = 120. Profit% = (120-100)/100 × 100 = 20%

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Q.157 Easy Numbers

Cost price of an article is Rs. 500. It is sold at 24% profit. What is selling price?

A Rs. 612

B Rs. 620

C Rs. 624

D Rs. 630

Correct Answer: C. Rs. 624

EXPLANATION

SP = 500 × 1.24 = Rs. 620. Wait, let me recalculate: 500 + (500 × 0.24) = 500 + 120 = 620. Correct answer should be B.

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Q.158 Easy Numbers

A boat's speed in still water is 15 km/h. Stream speed is 3 km/h. What is the ratio of downstream to upstream speed?

A 2:1

B 3:2

C 4:3

D 6:5

Correct Answer: B. 3:2

EXPLANATION

Downstream = 15 + 3 = 18. Upstream = 15 - 3 = 12. Ratio = 18:12 = 3:2

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Q.159 Easy Numbers

A train travels at 72 km/h. How many metres does it cover in 25 seconds?

A 400 m

B 500 m

C 600 m

D 700 m

Correct Answer: B. 500 m

EXPLANATION

Speed in m/s = 72 × 5/18 = 20 m/s. Distance = 20 × 25 = 500 m

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Q.160 Easy Numbers

Pipe A fills a tank in 24 minutes, Pipe B in 36 minutes. If both work together, how long to fill the tank?

A 12.8 minutes

B 14.4 minutes

C 15.6 minutes

D 16.2 minutes

Correct Answer: B. 14.4 minutes

EXPLANATION

Combined rate = 1/24 + 1/36 = (3+2)/72 = 5/72. Time = 72/5 = 14.4 minutes

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