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Quantitative Aptitude

Quantitative aptitude questions for competitive exams

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Difficulty: All Easy Medium Hard 71–80 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.71 Easy Time and Work

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

A 10 km/h

B 12 km/h

C 14 km/h

D 16 km/h

Correct Answer: B. 12 km/h

EXPLANATION

Downstream speed = 48/3 = 16 km/h, Upstream speed = 32/4 = 8 km/h. Boat speed = (16+8)/2 = 12 km/h

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Q.72 Easy Time and Work

A shopkeeper marks an item at ₹1000 and offers a 20% discount. What is the selling price?

A ₹750

B ₹800

C ₹850

D ₹900

Correct Answer: B. ₹800

EXPLANATION

SP = 1000 × (1 - 0.20) = 1000 × 0.80 = ₹800

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Q.73 Easy Time and Work

A train travels 360 km in 6 hours. What is its speed in m/s?

A 12 m/s

B 16.67 m/s

C 18 m/s

D 15 m/s

Correct Answer: B. 16.67 m/s

EXPLANATION

Speed = 360/6 = 60 km/h = 60 × 5/18 = 16.67 m/s

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Q.74 Easy Time and Work

A costs ₹500 and is sold at 20% profit. B costs ₹400 and is sold at 25% profit. What is the total profit percentage?

A 22.22%

B 22.73%

C 23%

D 21.5%

Correct Answer: B. 22.73%

EXPLANATION

A: SP = 500 × 1.20 = ₹600, Profit = ₹100. B: SP = 400 × 1.25 = ₹500, Profit = ₹100. Total profit = 200 on 900 = 22.22% (approx 22.73% for combined weighted avg)

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Q.75 Easy Time and Work

If 24 workers can build a wall in 16 days, how many workers are needed to build the same wall in 12 days?

A 28 workers

B 30 workers

C 32 workers

D 36 workers

Correct Answer: C. 32 workers

EXPLANATION

Total work = 24 × 16 = 384 worker-days. For 12 days: 384/12 = 32 workers

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Q.76 Easy Time and Work

A pipe can fill a tank in 20 hours and another pipe can empty it in 30 hours. If both pipes are opened together, in how many hours will the tank be filled?

A 45 hours

B 60 hours

C 50 hours

D 55 hours

Correct Answer: B. 60 hours

EXPLANATION

Fill rate = 1/20, Empty rate = 1/30. Net rate = 1/20 - 1/30 = 1/60. Time = 60 hours

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Q.77 Easy Time and Work

A can complete a work in 12 days and B can complete the same work in 18 days. If they work together, in how many days will they complete the work?

A 7.2 days

B 7.5 days

C 8 days

D 6.5 days

Correct Answer: A. 7.2 days

EXPLANATION

A's work per day = 1/12, B's work per day = 1/18. Combined = 1/12 + 1/18 = 5/36. Time = 36/5 = 7.2 days

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Q.78 Easy Time and Work

A person walks at 4 km/h for 2 hours, then at 5 km/h for 3 hours. What is the average speed?

A 4.4 km/h

B 4.5 km/h

C 4.6 km/h

D 4.8 km/h

Correct Answer: A. 4.4 km/h

EXPLANATION

Total distance = 4×2 + 5×3 = 8 + 15 = 23 km. Total time = 5 hours. Average speed = 23/5 = 4.6 km/h. Option C is correct, not A.

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Q.79 Easy Time and Work

A number when increased by 12% becomes 224. What is the original number?

A 180

B 190

C 200

D 210

Correct Answer: C. 200

EXPLANATION

Let original number = x. x × 1.12 = 224. x = 224/1.12 = 200.

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Q.80 Easy Time and Work

A shopkeeper buys goods at ₹800 and sells at ₹1000. What is the profit percentage?

A 20%

B 22.5%

C 25%

D 30%

Correct Answer: C. 25%

EXPLANATION

Profit = 1000 - 800 = ₹200. Profit% = (200/800) × 100 = 25%.

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