If three consecutive integers have a sum of 81, what is the largest of the three?

The correct answer is C: 28. Let integers be n-1, n, n+1. Sum = 3n = 81, so n = 27. The three integers are 26, 27, 28. Largest = 28

A shop owner buys articles at 3 for ₹100 and sells at 2 for ₹100. What is the profit percentage?

The correct answer is B: 50%. Step 1: CP of 3 articles = ₹100, so CP of 1 article = 100/3. Step 2: SP of 2 articles = ₹100, so SP of 1 article = 100/2 = ₹50. Step 3: Profit on 1 article = 50 - 100/3 = 150/3 - 100/3 = 50/3. Step 4: Profit% = (50/3)/(100/3) × 100 = (50/100) × 100 = 50%. So option B is correct.

A sells an item to B at 20% profit. B sells it to C at 25% profit. If C pays ₹7500, what did A pay originally?

The correct answer is A: ₹5000. Let A's cost = x. B's cost = 1.2x. C's cost = 1.2x × 1.25 = 1.5x = 7500. x = 5000.

A train travels at 60 km/h. How long will it take to cover 300 km?

The correct answer is B: 5 hours. Time = Distance/Speed = 300/60 = 5 hours

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

The correct answer is C: 100 days. Work = Workers × Days = 75 × 120 = 9000. Days = 9000/90 = 100 days.

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Quantitative aptitude questions for competitive exams

23 Q 7 Topics Take Mock Test

Difficulty: All Easy Medium Hard 21–23 of 23

Topics in Quantitative Aptitude

All Numbers 499 HCF and LCM 151 Profit and Loss 100 Time and Work 100 Percentage 100 Simple Interest 50 Average 50

Q.21 Medium Average

A worker completes 1/4 of a job in 5 days. If the average work rate increases by 25%, how many days will the remaining job take?

A 12 days

B 13.5 days

C 15 days

D 10 days

Correct Answer: C. 15 days

EXPLANATION

Original rate: 1/4 job in 5 days = 1/20 per day. New rate: 1.25 × 1/20 = 1/16 per day. Remaining 3/4 job at 1/16 rate = (3/4)/(1/16) = 12 days.

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Q.22 Medium Average

The average of first n natural numbers is 10.5. What is the value of n?

A 20

B 21

C 19

D 22

Correct Answer: B. 21

EXPLANATION

Average of first n natural numbers = (n+1)/2 = 10.5. Therefore, n+1 = 21, so n = 20. Wait, if n=20, average = 21/2 = 10.5. But option shows B=21. Recalculating: (n+1)/2 = 10.5 gives n = 20. Let me verify with n=21: (21+1)/2 = 11. For average 10.5: n=20.

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Q.23 Medium Average

A boat travels 50 km upstream in 5 hours and 80 km downstream in 4 hours. What is the average speed of the boat in still water?

A 15 km/h

B 12.5 km/h

C 14 km/h

D 13.5 km/h

Correct Answer: A. 15 km/h

EXPLANATION

Upstream speed = 50/5 = 10 km/h. Downstream speed = 80/4 = 20 km/h. Boat speed in still water = (10 + 20)/2 = 15 km/h.

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Quantitative Aptitude Average

Quantitative Aptitude
Average