Find the harmonic mean, if arithmetic mean is 27 and geometric mean is 9 ?

  1. 9√3
  2. 3
  3. 27

Answer (Detailed Solution Below)

Option 3 : 3
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General Knowledge for All Defence Exams (शूरवीर): Special Live Test
20 Qs. 20 Marks 16 Mins

Detailed Solution

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Concept:

The relation between AM, GM and HM:

(GM)2 = (AM) × (HM)

Calculation:

Given AM = 27 and GM = 9

And we know that (GM)2 = (AM) × (HM)

⇒(9)2 = 27 × HM

⇒ HM = 

= 3  

Hence, option (3) is correct.

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