The arithmetic mean and the harmonic mean of two numbers is 10 and 6.4. Then their geometric mean is___

7.5

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Solution

The correct option is B
8

Given that,

Arithmetic mean = 10, Harmonic mean = 6.4.

We know, that Geometric mean = $\sqrt{Arithmetic mean \times Harmonic mean}$

$⟹$ Geometric mean = $\sqrt{10 \times 6.4}$

= $\sqrt{64}$

= 8

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