Sequence And Series Question 244
Question: If the ratio of two numbers be $ 9:1 $ , then the ratio of geometric and harmonic means between them will be
Options:
A) $ 1:9 $
B) $ 5:3 $
C) $ 3:5 $
D) $ 2:5 $
Show Answer
Answer:
Correct Answer: B
Solution:
Given that $ \frac{a}{b}=\frac{9}{1} $ or $ a=9b $ Here $ H=\frac{2ab}{a+b} $ and $ G=\sqrt{ab} $
$ \Rightarrow $ $ H:G=\frac{2ab}{a+b}:\sqrt{ab}=\frac{2.9b^{2}}{10b}:3b=\frac{3}{5} $ Hence $ G:H=5:3 $
BETA
