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CA Foundation · Quantitative Aptitude · Sequence and Series

Four arithmetic means are inserted between 7 and 32. What is the third of these means?

The third arithmetic mean is 22. With four means inserted between 7 and 32 there are six terms, so the common difference is (32 - 7)/5 = 5. The means are 12, 17, 22 and 27, and the third one is 22.

  1. A22Correct
  2. B27
  3. C17
  4. D20

Explanation

There are 6 terms in total, so 32 = 7 + 5d, giving d = 5. The means are 12, 17, 22, 27, so the third is 22. The option 27 is the fourth mean, and 17 is the second.

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