Corporate & IT Interview Preparation

Quantitative Aptitude — Numbers

Aptitude · Reasoning · English · CS — Corporate & Campus Interview Prep

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Showing 401–410 of 500 questions in Numbers

Q.401 Medium Numbers

Two workers A and B can complete a job in 8 days and 12 days respectively. A starts the work and after 2 days, B joins. In how many more days will the work be completed?

A 3.6 days

B 4.2 days

C 4.8 days

D 5 days

Correct Answer: A. 3.6 days

Explanation:

Work by A in 2 days = 2/8 = 1/4. Remaining work = 3/4. Combined rate = 1/8 + 1/12 = 5/24. Time = (3/4)/(5/24) = 18/5 = 3.6 days.

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Q.402 Easy Numbers

A number when increased by 15% becomes 575. What is the original number?

A 500

B 550

C 460

D 480

Correct Answer: A. 500

Explanation:

Let original number = x. x × 1.15 = 575. x = 575/1.15 = 500.

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Q.403 Medium Numbers

A train travelling at 90 km/h takes 8 seconds to cross another train travelling at 54 km/h in the opposite direction. What is the sum of their lengths?

A 200m

B 280m

C 320m

D 400m

Correct Answer: C. 320m

Explanation:

Relative speed = 90 + 54 = 144 km/h = 40 m/s. Distance = 40 × 8 = 320m = sum of lengths.

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Q.404 Medium Numbers

If a cistern is filled by three pipes in 4, 6, and 12 hours respectively, how long will it take to fill if all three are opened together?

A 2 hours

B 2.4 hours

C 3 hours

D 3.5 hours

Correct Answer: A. 2 hours

Explanation:

Combined rate = 1/4 + 1/6 + 1/12 = 3/12 + 2/12 + 1/12 = 6/12 = 1/2. Time = 2 hours.

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Q.405 Easy Numbers

A man buys 50 pens at Rs. 3 each and sells them at Rs. 3.50 each. What is his profit percentage?

A 14.28%

B 16.67%

C 18.5%

D 20%

Correct Answer: B. 16.67%

Explanation:

CP = 50 × 3 = 150. SP = 50 × 3.5 = 175. Profit % = (25/150) × 100 = 16.67%.

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Q.406 Hard Numbers

A sum of money becomes Rs. 9000 in 2 years and Rs. 10125 in 3 years at compound interest. What is the rate of interest?

A 10%

B 12.5%

C 15%

D 20%

Correct Answer: B. 12.5%

Explanation:

Rate = (10125/9000 - 1) × 100 = (1.125 - 1) × 100 = 12.5%.

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Q.407 Easy Numbers

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

A 2:1

B 3:2

C 4:3

D 5:3

Correct Answer: B. 3:2

Explanation:

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

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Q.408 Easy Numbers

If 75 workers can build a wall in 120 days, how many days will 90 workers take?

A 80 days

B 90 days

C 100 days

D 110 days

Correct Answer: C. 100 days

Explanation:

Work = Workers × Days = 75 × 120 = 9000. Days = 9000/90 = 100 days.

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Q.409 Medium Numbers

A price is increased by 30%, then decreased by 30%. What is the net change?

A No change

B 9% decrease

C 9% increase

D 15% decrease

Correct Answer: B. 9% decrease

Explanation:

Let original = 100. After 30% increase = 130. After 30% decrease = 130 × 0.7 = 91. Net = 9% decrease.

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Q.410 Hard Numbers

Two pipes A and B can fill a tank in 10 hours and 15 hours respectively. A third pipe C empties it in 20 hours. If all three are opened simultaneously, in how many hours will the tank be filled?

A 8.57 hours

B 9.23 hours

C 10.5 hours

D 12 hours

Correct Answer: A. 8.57 hours

Explanation:

Net rate = 1/10 + 1/15 - 1/20 = 6/60 + 4/60 - 3/60 = 7/60. Time = 60/7 ≈ 8.57 hours.

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