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Quantitative aptitude questions for competitive exams

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Difficulty: All Easy Medium Hard 201–210 of 500

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.201 Easy Numbers

What percentage of 480 is 72?

A 12.5%

B 15%

C 17.5%

D 20%

Correct Answer: B. 15%

EXPLANATION

(72/480) × 100 = 15%

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Q.202 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.203 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.204 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.205 Easy Numbers

A number is increased by 30%, then decreased by 20%. Net change is what percent?

A 4%

B 10%

C 8%

D 12%

Correct Answer: A. 4%

EXPLANATION

Let number = 100. After +30% = 130. After -20% of 130 = 130 × 0.8 = 104. Net increase = 4%

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Q.206 Easy Numbers

A boat travels 48 km downstream in 3 hours and 32 km upstream in 4 hours. What is the speed of current?

A 2 km/h

B 3 km/h

C 4 km/h

D 5 km/h

Correct Answer: A. 2 km/h

EXPLANATION

Downstream speed = 48/3 = 16 km/h. Upstream speed = 32/4 = 8 km/h. Current = (16-8)/2 = 2 km/h

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Q.207 Easy Numbers

A sum becomes Rs. 14400 after 2 years at 20% p.a. simple interest. What is the principal?

A Rs. 10000

B Rs. 10500

C Rs. 11000

D Rs. 12000

Correct Answer: A. Rs. 10000

EXPLANATION

SI = P × R × T / 100 = P × 20 × 2 / 100 = 0.4P. Amount = P + 0.4P = 1.4P = 14400. P = 10000

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Q.208 Easy Numbers

Worker A completes a job in 12 days. Worker B completes the same job in 15 days. If they work together, in how many days will they complete it?

A 6 days

B 6.67 days

C 7.5 days

D 8 days

Correct Answer: B. 6.67 days

EXPLANATION

Combined rate = 1/12 + 1/15 = (5+4)/60 = 9/60 = 3/20. Time = 20/3 = 6.67 days

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Q.209 Easy Numbers

A shopkeeper buys an item for Rs. 400 and marks it 50% above cost price. He gives a discount of 20% on marked price. What is his profit percentage?

A 20%

B 25%

C 30%

D 35%

Correct Answer: A. 20%

EXPLANATION

MP = 400 × 1.5 = Rs. 600. SP = 600 × 0.8 = Rs. 480. Profit = (480-400)/400 × 100 = 20%

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Q.210 Hard Numbers

A train 200m long passes a bridge 300m long completely in 25 seconds. What is the speed of the train in km/h?

A 70.2 km/h

B 72 km/h

C 75.6 km/h

D 80 km/h

Correct Answer: B. 72 km/h

EXPLANATION

Total distance = 200 + 300 = 500m. Speed = 500/25 = 20 m/s = 20 × 3.6 = 72 km/h

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