Central Tendency & DispersionMTP May 18Question 3047 of 473

If the arithmetic mean between two numbers is $\displaystyle 64$ and the Geometric Mean between them is $\displaystyle 16$ . The Harmonic mean between them is ______.

Options

A64

B4

C16

D40

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Correct Answer

✅ Option b — 4

All Options:

A64
B4
C16
D40

Detailed Solution & Explanation

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

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

**Step 2: Substitute values.** - AM = 64, GM = 16

64 \times \text{HM} = 16^2 = 256

\text{HM} = \frac{256}{64} = 4

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

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