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Home › Data Sufficiency › Averages

Averages — Data Sufficiency Questions & Practice

Practise 4 Averages questions from Data Sufficiency for competitive exams such as UPSC, Banking, SSC and Railway. Read the worked questions below, check every answer with an explanation, and track what you get wrong.

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Practice questions on Averages — with answers

Try each question first, then open the answer. Explanations are included.

1. Is the average of five numbers greater than 20? I. Three of the numbers are 18, 22, and 25. II. The remaining two numbers are both less than 15.

  1. AStatement I alone is sufficient, but Statement II alone is not sufficient
  2. BStatement II alone is sufficient, but Statement I alone is not sufficient
  3. CBoth statements I and II together are sufficient, but neither alone is sufficient
  4. DBoth statements I and II together are not sufficient
Show answer

Answer: D

Statement I alone gives only three of the five numbers, not enough for the average. Statement II alone gives only an upper bound for the other two. Even combined, exact values are not known so the average cannot be conclusively determined.

2. What is the average of two numbers, A and B? I. A is 10 more than B. II. A is an even number.

  1. AStatement I alone is sufficient, but Statement II alone is not sufficient
  2. BStatement II alone is sufficient, but Statement I alone is not sufficient
  3. CBoth statements I and II together are sufficient, but neither alone is sufficient
  4. DBoth statements I and II together are not sufficient
Show answer

Answer: D

Statement I gives only a relationship between A and B, not their actual values. Statement II tells us A is even, but that alone or combined still doesn't fix specific values, so the average cannot be found.

3. What is the average number of goals scored per match by a football team? I. The team played 10 matches. II. The team's win percentage was 60%.

  1. AStatement I alone is sufficient, but Statement II alone is not sufficient
  2. BStatement II alone is sufficient, but Statement I alone is not sufficient
  3. CBoth statements I and II together are sufficient, but neither alone is sufficient
  4. DBoth statements I and II together are not sufficient
Show answer

Answer: D

Neither the number of matches nor the win percentage gives the total goals scored, so the average goals per match cannot be determined even combined.

4. What is the average of the ages of a committee? I. The committee has 7 members. II. Each member's age is a prime number.

  1. AStatement I alone is sufficient, but Statement II alone is not sufficient
  2. BStatement II alone is sufficient, but Statement I alone is not sufficient
  3. CBoth statements I and II together are sufficient, but neither alone is sufficient
  4. DBoth statements I and II together are not sufficient
Show answer

Answer: D

Neither the number of members alone nor the fact that ages are prime numbers gives their actual sum, so the average cannot be determined even combined.

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