If x = $$\frac{1}{3}$$y and y = $$\frac{1}{2}$$z, then x : y : z is equal to

A. 1 : 2 : 6

B. 1 : 3 : 6

C. 2 : 4 : 6

D. 3 : 2 : 1

Answer: Option B

Solution(By Examveda Team)

$$\eqalign{ & x = \frac{1}{3}y = \frac{1}{3} \times \frac{1}{2}z = \frac{1}{6}z \cr & Let\,x\, = \frac{1}{3}y = \frac{1}{6}z = k \cr & {\text{Then,}} \cr & x = k,\,y = 3k,\,z = 6k \cr & \therefore {\text{x}}:{\text{y}}:{\text{z}} = k:3k:6k \cr & = 1:3:6 \cr} $$