If $$a:b:c = \frac{1}{4}:\frac{1}{3}:\frac{1}{2},$$    then $$\frac{a}{b}:\frac{b}{c}:\frac{c}{a} = ?$$

A. 12 : 9 : 8

B. 9 : 8 : 24

C. 8 : 9 : 24

D. 9 : 12 : 8

Answer: Option B

Solution(By Examveda Team)

$$\eqalign{ & a:b:c = \frac{1}{4}:\frac{1}{3}:\frac{1}{2} \cr & a:b:c = 3:4:6 \cr & \frac{a}{b}:\frac{b}{c}:\frac{c}{a} = \frac{3}{4}:\frac{4}{6}:\frac{6}{3} = 9:8:24 \cr} $$