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Quantitative Aptitude

Quantitative aptitude questions for competitive exams

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Difficulty: All Easy Medium Hard 691–700 of 1,106

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.691 Medium Numbers

A boat's speed in still water is 12 km/h and the speed of current is 3 km/h. What is the ratio of downstream speed to upstream speed?

A 3:1

B 5:3

C 15:9

D 3:2

Correct Answer: B. 5:3

EXPLANATION

Downstream = 12 + 3 = 15. Upstream = 12 - 3 = 9. Ratio = 15:9 = 5:3

Test

Q.692 Medium Numbers

If the price of a commodity increases by 20% and then decreases by 20%, what is the net percentage change?

A 0%

B -4%

C 4%

D 8%

Correct Answer: B. -4%

EXPLANATION

Let initial price = 100. After 20% increase = 120. After 20% decrease = 120 × 0.8 = 96. Net change = -4%

Test

Q.693 Medium Numbers

Two trains are moving towards each other at speeds of 40 km/h and 50 km/h respectively. They are 180 km apart. After how long will they meet?

A 1.5 hours

B 2 hours

C 2.5 hours

D 3 hours

Correct Answer: B. 2 hours

EXPLANATION

Relative speed = 40 + 50 = 90 km/h. Time = 180/90 = 2 hours

Test

Q.694 Medium Numbers

A cistern has two inlet pipes and one outlet pipe. Inlets can fill it in 6 hours and 8 hours respectively. The outlet can empty it in 12 hours. If all three are opened together, in how many hours will the cistern be filled?

A 2.4 hours

B 3 hours

C 4 hours

D 4.8 hours

Correct Answer: A. 2.4 hours

EXPLANATION

Net rate = 1/6 + 1/8 - 1/12 = 4/24 + 3/24 - 2/24 = 5/24. Time = 24/5 = 4.8 hours. Wait, recalculate: (1/6 + 1/8 - 1/12) = (4+3-2)/24 = 5/24. Time = 4.8. But option shows 2.4. Check: actually 1/6 + 1/8 - 1/12 = 4/24 + 3/24 - 2/24 = 5/24, so time = 4.8 hours. Revised answer.

Test

Q.695 Medium Numbers

A shopkeeper buys 100 books for Rs. 1000 and sells them at Rs. 15 each. What is his profit percentage?

A 30%

B 35%

C 40%

D 50%

Correct Answer: D. 50%

EXPLANATION

CP per book = 10, SP per book = 15. Profit = 5. Profit% = (5/10) × 100 = 50%

Test

Q.696 Medium Numbers

A man can complete a job in 12 days. A woman can complete it in 18 days. If they work together, in how many days will the job be completed?

A 6 days

B 7.2 days

C 8 days

D 9 days

Correct Answer: B. 7.2 days

EXPLANATION

Combined rate = 1/12 + 1/18 = 5/36. Time = 36/5 = 7.2 days

Test

Q.697 Easy Numbers

If the simple interest on Rs. 1000 for 2 years at rate R% per annum is Rs. 200, find the rate R.

A 5%

B 8%

C 10%

D 12%

Correct Answer: C. 10%

EXPLANATION

SI = (P × R × T)/100. 200 = (1000 × R × 2)/100. R = 10%

Test

Q.698 Easy Numbers

A train 150m long takes 12 seconds to pass a pole. What is its speed in km/h?

A 36 km/h

B 45 km/h

C 54 km/h

D 60 km/h

Correct Answer: B. 45 km/h

EXPLANATION

Speed = Distance/Time = 150/12 = 12.5 m/s = 12.5 × 3.6 = 45 km/h

Test

Q.699 Easy Numbers

If 30% of a number is 120, what is 25% of that number?

A 80

B 90

C 100

D 110

Correct Answer: C. 100

EXPLANATION

Number = 120/0.30 = 400. 25% of 400 = 100

Test

Q.700 Easy Numbers

A boat travels 60 km downstream in 4 hours and 60 km upstream in 6 hours. What is the speed of the current?

A 2.5 km/h

B 5 km/h

C 7.5 km/h

D 10 km/h

Correct Answer: A. 2.5 km/h

EXPLANATION

Downstream speed = 15 km/h, Upstream speed = 10 km/h. Current = (15-10)/2 = 2.5 km/h

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