Government Jobs Exam Preparation — SSC, UPSC, Bank, Railway

Govt Exam — Quantitative Aptitude

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Showing 221–230 of 499 questions

Q.221 Medium Numbers

A sells goods to B at 20% profit. B sells to C at 15% profit. C's cost price is Rs. 690. What is A's cost price?

A Rs. 500

B Rs. 550

C Rs. 575

D Rs. 600

Correct Answer: A. Rs. 500

Explanation:

C's CP = B's SP = 690. B's CP = 690/1.15 = 600. A's SP = B's CP = 600. A's CP = 600/1.2 = 500

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Q.222 Medium Numbers

A and B together can do work in 8 days. A alone can do it in 12 days. In how many days can B alone do it?

A 20 days

B 22 days

C 24 days

D 28 days

Correct Answer: C. 24 days

Explanation:

B's rate = 1/8 - 1/12 = (3-2)/24 = 1/24. B takes 24 days

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Q.223 Medium Numbers

A product's price is reduced by 25% then increased by 25%. Net change is?

A 0% (no change)

B 6.25% decrease

C 6.25% increase

D 25% decrease

Correct Answer: B. 6.25% decrease

Explanation:

Let price = 100. After -25% = 75. After +25% of 75 = 75 × 1.25 = 93.75. Net decrease = 6.25%

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Q.224 Medium Numbers

A principal becomes Rs. 1331 in 3 years at 10% p.a. compound interest. What was principal?

A Rs. 1000

B Rs. 1050

C Rs. 1100

D Rs. 1200

Correct Answer: A. Rs. 1000

Explanation:

A = P(1.1)^3 = 1.331P = 1331. P = 1000

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Q.225 Medium Numbers

A's income is 25% more than B's income. B's income is what percentage of A's income?

A 75%

B 80%

C 85%

D 90%

Correct Answer: B. 80%

Explanation:

If B = 100, then A = 125. B/A = 100/125 = 80%

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Q.226 Medium Numbers

A boat's speed in still water is 15 km/h. The speed of the current is 3 km/h. What is the time taken to travel 108 km downstream and return?

A 13.5 hours

B 14 hours

C 15 hours

D 16 hours

Correct Answer: B. 14 hours

Explanation:

Downstream speed = 18 km/h, Upstream speed = 12 km/h. Time downstream = 108/18 = 6 hours. Time upstream = 108/12 = 9 hours. Total = 15 hours. Wait, recalculate: Total = 6 + 8 = 14 hours

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Q.227 Medium Numbers

A can complete a work in 10 days. B can complete the same work in 15 days. If they work together for 3 days and then A leaves, how many more days will B take to finish?

A 5 days

B 6 days

C 7 days

D 8 days

Correct Answer: B. 6 days

Explanation:

Work rate A = 1/10, B = 1/15. Combined = 5/30 = 1/6. In 3 days = 3/6 = 1/2 work done. Remaining = 1/2. B's time = (1/2)/(1/15) = 7.5 days

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Q.228 Medium Numbers

A merchant buys goods at Rs. 75 per unit and sells at Rs. 100 per unit. His profit per unit and overall profit percentage are?

A Rs. 25, 33.33%

B Rs. 25, 25%

C Rs. 20, 30%

D Rs. 30, 40%

Correct Answer: A. Rs. 25, 33.33%

Explanation:

Profit per unit = 100 - 75 = 25. Profit% = (25/75) × 100 = 33.33%

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Q.229 Medium Numbers

Two trains of lengths 150m and 250m are moving towards each other at speeds of 45 km/h and 35 km/h. How long will they take to completely pass each other?

A 18 seconds

B 20 seconds

C 24 seconds

D 30 seconds

Correct Answer: A. 18 seconds

Explanation:

Total length = 400m. Relative speed = 45 + 35 = 80 km/h = 80 × 5/18 = 22.22 m/s. Time = 400/22.22 ≈ 18 seconds

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Q.230 Medium Numbers

A's salary is 20% less than B's. B's salary is what percentage more than A's?

A 20%

B 25%

C 30%

D 33.33%

Correct Answer: B. 25%

Explanation:

If B = 100, A = 80. Increase needed = 20. Percentage = (20/80) × 100 = 25%

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