Sequence And Series Question 222

Question: If the A.M. and H.M. of two numbers is 27 and 12 respectively, then G.M. of the two numbers will be

[RPET 1987]

Options:

A) 9

B) 18

C) 24

D) 36

Show Answer

Answer:

Correct Answer: B

Solution:

Let two numbers $ a $ and $ b $ . We have $ G=\sqrt{AH} $
$ \Rightarrow $ G.M. $ =\sqrt{27\times 12}=18 $ .