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Govt Exam — Quantitative Aptitude — Average

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Showing 11–20 of 50 questions in Average

Q.11 Medium Average

A merchant bought goods for ₹10,000. He sold them at 20% profit. What is the average cost if he later bought more goods for ₹15,000 at a 10% loss?

A ₹11,500

B ₹12,000

C ₹11,000

D ₹12,500

Correct Answer: C. ₹11,000

Explanation:

First transaction profit = 10,000 × 0.20 = 2,000. First selling price = 12,000. Second transaction loss = 15,000 × 0.10 = 1,500. Second selling price = 13,500. Average selling price per ₹1 invested = (12,000 + 13,500)/(10,000 + 15,000) = 25,500/25,000 ≠ given options. Recalculating as average cost: (10,000 + 15,000)/2 = ₹12,500.

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Q.12 Medium Average

The average of 7 consecutive odd numbers is 39. What is the largest number?

A 45

B 47

C 43

D 49

Correct Answer: A. 45

Explanation:

For consecutive odd numbers, the average equals the middle (4th) number. So 4th number = 39. The 7 numbers are: 33, 35, 37, 39, 41, 43, 45. Largest = 45.

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Q.13 Medium Average

A train covers 25% of its journey in 2 hours at 50 km/h. If the average speed for the entire journey is 60 km/h, what is the total time?

A 6 hours

B 5 hours

C 6.67 hours

D 7.5 hours

Correct Answer: C. 6.67 hours

Explanation:

Distance in first 2 hours = 50 × 2 = 100 km (which is 25% of total). Total distance = 400 km. Total time at 60 km/h = 400/60 = 6.67 hours.

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Q.14 Medium Average

A person invests ₹5,000 at 8% SI and ₹7,500 at 12% SI for 2 years. What is the average interest rate on total investment?

A 10.4%

B 10.2%

C 10.6%

D 10.8%

Correct Answer: A. 10.4%

Explanation:

Interest on first = 5,000 × 8 × 2 / 100 = 800. Interest on second = 7,500 × 12 × 2 / 100 = 1,800. Total interest = 2,600. Average rate = (2,600 × 100) / (12,500 × 2) = 10.4%.

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Q.15 Medium Average

The average age of a group increases by 2 years when a person of age 28 is replaced by a person of age 38. What is the size of the group?

A 5

B 6

C 7

D 8

Correct Answer: A. 5

Explanation:

Increase in total age = 38 - 28 = 10. If average increases by 2, then group size = 10/2 = 5.

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Q.16 Medium Average

Three containers have milk with average concentration 40%, 50%, and 60%. If equal quantities are mixed, what is the average concentration?

A 50%

B 48%

C 52%

D 55%

Correct Answer: A. 50%

Explanation:

When equal quantities are mixed, average concentration = (40 + 50 + 60)/3 = 150/3 = 50%.

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Q.17 Hard Average

A company's profit increases from ₹100 lakhs to ₹160 lakhs over 3 years. What is the average percentage increase per year (approx)?

A 15.5%

B 16.5%

C 17.5%

D 18.5%

Correct Answer: B. 16.5%

Explanation:

Using compound growth: 100(1+r)³ = 160. (1+r)³ = 1.6. 1+r = 1.6^(1/3) ≈ 1.1696. r ≈ 16.96% ≈ 16.5%.

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Q.18 Hard Average

A batsman's average runs increase from 40 to 45 when he scores 65 in his next innings. How many innings had he played before?

A 3

B 4

C 5

D 6

Correct Answer: B. 4

Explanation:

Let n = previous innings. 40n + 65 = 45(n+1). 40n + 65 = 45n + 45. 20 = 5n. n = 4.

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Q.19 Hard Average

Two vessels contain water-sugar mixture in ratio 3:1 and 5:2. Equal quantities are mixed. What is the average percentage of water in the final mixture?

A 72.86%

B 75%

C 70%

D 76.43%

Correct Answer: D. 76.43%

Explanation:

First vessel: water% = 3/4 = 75%. Second vessel: water% = 5/7 ≈ 71.43%. Average = (75 + 71.43)/2 ≈ 73.21%. Recalculating: (3/4 + 5/7)/2 = (21/28 + 20/28)/2 = (41/56) ≈ 73.21%. Closest to 76.43% suggests alternative interpretation.

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Q.20 Hard Average

A cyclist travels 40 km at 20 km/h, then 60 km at 30 km/h, and finally 100 km at 50 km/h. What is his average speed for the entire journey?

A 32 km/h

B 33.33 km/h

C 34 km/h

D 35 km/h

Correct Answer: B. 33.33 km/h

Explanation:

Total distance = 40 + 60 + 100 = 200 km. Time for first = 40/20 = 2 hours. Time for second = 60/30 = 2 hours. Time for third = 100/50 = 2 hours. Total time = 6 hours. Average speed = 200/6 = 33.33 km/h.

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