Answer (Detailed Solution Below)

Option 4 : 0.2
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Detailed Solution

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Concept:

Geometric mean is obtained by multiplying 'n' numbers together and taking the nth root of the product.

Eg:- The geometric mean of numbers x1, x2, …….,xn  is given by, Geometric Mean = (x1x2…….xn )1/n

 

Calculation:

Given numbers are 2, 0.2 and 0.02

According to the formula used

Geometric Mean of 2, 0.2 and 0.02 = \((2\times0.2\times0.02)^ {\frac13}\)

\(⇒ (0.008)^{\frac13}\)

⇒ 0.2

Hence, option (4) is correct. 

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