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CA Foundation · Quantitative Aptitude · Sequence and Series

What is the harmonic mean of 2, 3 and 6?

The harmonic mean is 3. It equals the number of terms divided by the sum of reciprocals. The reciprocals 1/2, 1/3 and 1/6 add up to 1, so the HM is 3 divided by 1, which is 3.

  1. A3Correct
  2. B3.5
  3. C4
  4. D2.5

Explanation

HM = n / (sum of reciprocals) = 3 / (1/2 + 1/3 + 1/6) = 3 / 1 = 3. Option 3.5 is not the AM (which is 11/3) nor the HM; the distractor 4 would come from wrongly using the arithmetic mean rounded.

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