Central Tendency & DispersionPYQ Jun 23Question 3038 of 473

If the mean of two numbers is 30 and geometric mean is 24, then what will be the Harmonic mean of two numbers?

Options

A19.2

B21.8

C22.3

D18.4

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Correct Answer

✅ Option a — 19.2

All Options:

A19.2
B21.8
C22.3
D18.4

Detailed Solution & Explanation

**Step 1: Recall the relationship AM × HM = GM².**

\text{AM} \times \text{HM} = \text{GM}^2

**Step 2: Substitute values.** - AM = 30 (mean of two numbers = AM), GM = 24

30 \times \text{HM} = 24^2 = 576

\text{HM} = \frac{576}{30} = 19.2

Hence, **Option A** is the correct answer.

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