If A and B are in the ratio 3 : 4, and B and C in the ratio 12 : 13, then A and C will be in the ratio

A. 3 : 13

B. 9 : 13

C. 36 : 13

D. 13 : 9

Answer: Option B

Solution(By Examveda Team)

$$\eqalign{ & {\frac{A}{B}} \times {\frac{B}{C}} = {\frac{3}{4}} \times {\frac{{12}}{{13}}} \cr & Or,\,\frac{A}{C} = \frac{{36}}{{52}} = 9:13 \cr} $$