If A : B = $$\frac{1}{2}$$ : $$\frac{1}{3}$$ and B : C = $$\frac{1}{2}$$ : $$\frac{1}{3},$$  then A, B, C is equal to -

A. 1 : 2 : 6

B. 2 : 3 : 3

C. 3 : 2 : 6

D. 9 : 6 : 4

Answer: Option D

Solution(By Examveda Team)

$$\eqalign{ & = A:B = \frac{1}{2}:\frac{1}{3} = 3:2, \cr & = {\text{B}}:{\text{C}} = \frac{1}{2}:\frac{1}{3} = 3:2 \cr & = \left( {3 \times \frac{2}{3}} \right):\left( {2 \times \frac{2}{3}} \right) \cr & = 2:\frac{4}{3}. \cr & \Rightarrow {\text{A}}:{\text{B}}:{\text{C}} = 3:2:\frac{4}{3} \cr & = 9:6:4 \cr} $$