Central Govt Exam Preparation — SSC, UPSC, Bank, Railway

Central Exam — Quantitative Aptitude

UPSC · SSC · Bank · Railway · NDA — Central Government Exam MCQ Practice

1,106 Questions 7 Topics Take Test

Showing 601–610 of 1,106 questions

Q.601 Easy Numbers

A boat takes 4 hours to travel 48 km downstream and 6 hours to travel the same distance upstream. What is the speed of the current?

A 1 km/h

B 2 km/h

C 3 km/h

D 4 km/h

Correct Answer: B. 2 km/h

Explanation:

Downstream speed = 48/4 = 12 km/h. Upstream speed = 48/6 = 8 km/h. Current speed = (12 - 8)/2 = 2 km/h.

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Q.602 Medium Numbers

The price of a commodity increases by 20% one year and decreases by 10% the next year. What is the net change after two years?

A 8% increase

B 10% increase

C 12% increase

D 15% decrease

Correct Answer: A. 8% increase

Explanation:

Let original price = 100. After 20% increase = 120. After 10% decrease = 120 × 0.9 = 108. Net change = 8% increase.

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Q.603 Easy Numbers

A person invested Rs. 10000 in a scheme. After 2 years at 10% compound interest, the amount becomes:

A Rs. 12100

B Rs. 12000

C Rs. 11000

D Rs. 11500

Correct Answer: A. Rs. 12100

Explanation:

Amount = P(1 + R/100)^T = 10000(1.1)^2 = 10000 × 1.21 = Rs. 12100.

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Q.604 Medium Numbers

A shopkeeper marks articles 40% above cost price and gives a discount of 25%. What is his profit percentage?

A 5%

B 8%

C 10%

D 12%

Correct Answer: A. 5%

Explanation:

Let CP = 100. MP = 140. SP = 140 × 0.75 = 105. Profit = 5%.

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Q.605 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.606 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.607 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.608 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.609 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.610 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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