Average

J&K Bank Banking Associate · Quantitative Aptitude · 118 practice questions with answers and explanations: 60 Easy, 56 Medium, 2 Hard.

Sample questions

Sample Easy question 1

What is the average of an arithmetic progression with 9 terms, first term 16 and last term 32?

  1. 32
  2. 16
  3. 25
  4. 24
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Answer: D. The average of an AP is (first + last)/2 = (16 + 32)/2 = 24.

Sample Easy question 2

What is the average of the numbers 20, 29, 13, 29, 39?

  1. 27
  2. 25
  3. 28
  4. 26
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Answer: D. Sum = 130; average = 130/5 = 26.

Sample Easy question 3

The average of 4 numbers is 34. If 3 of them are 54, 29, 17, what is the remaining number?

  1. 32
  2. 34
  3. 40
  4. 36
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Answer: D. Total = 34 × 4 = 136; remaining = 136 − 100 = 36.

Sample Medium question 4

The average age of 5 members of a committee is 36 years. When one member aged 15 years is replaced by a new member, the average age rises by 2 years. Find the age of the new member.

  1. 23 years
  2. 17 years
  3. 27 years
  4. 25 years
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Answer: D. Total age increases by 5 × 2 = 10 years, so the new member is 15 + 10 = 25 years old.

Sample Medium question 5

The average age of 9 members of a committee is 44 years. When one member aged 26 years is replaced by a new member, the average age rises by 5 years. Find the age of the new member.

  1. 71 years
  2. 66 years
  3. 31 years
  4. 76 years
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Answer: A. Total age increases by 9 × 5 = 45 years, so the new member is 26 + 45 = 71 years old.

Sample Medium question 6

The average age of 6 members of a committee is 24 years. When one member aged 11 years is replaced by a new member, the average age rises by 3 years. Find the age of the new member.

  1. 32 years
  2. 26 years
  3. 29 years
  4. 14 years
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Answer: C. Total age increases by 6 × 3 = 18 years, so the new member is 11 + 18 = 29 years old.

Sample Hard question 7

The average of 12 numbers is 18. If the average of the first 7 is 20 and the average of the last 6 is 15, find the 7th number.

  1. 15
  2. 17
  3. 14
  4. 16
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Answer: B. Total of 12 = 216. First 7 total = 140, last 6 total = 90. 7th number is counted in both groups, so 140 + 90 - 216 = 14 — the 7th number is 14.

Sample Hard question 8

The average of 11 numbers is 50. The average of the first 6 is 49 and of the last 6 is 52. Find the 6th number.

  1. 55
  2. 54
  3. 56
  4. 57
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Answer: C. Sum of all 11 = 550, first 6 sum = 294, last 6 sum = 312. The 6th number is counted in both: 294 + 312 - 550 = 56.

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