Four geometric means are inserted between 5 and 160. Find the 2nd geometric mean.

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Solution

The correct option is D 20
$5 \times r^{5} = 160 \to r^{5} = 32 \Rightarrow r = 2$
Thus, the series would be 5, 10, 20, 40, 80, 160. The second geometric mean between 5 and 160 in this case would be 20. Option (d) is correct.

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