Question

If $A:B=2:3,B:C=2:4$and$C:D=2:5$, then $A:D$ is equal to:

• A. $5:4$
  
• B. $3:11$
  
• C. $2:15$
  
• D. $4:17$
  

Answer 1

Answer: (C)

$2:15$

Given,

$\frac{A}{B}=\frac{2}{3},\frac{B}{C}=\frac{2}{4},\frac{C}{D}=\frac{2}{5}$

$\therefore \frac{A}{D}=\frac{A}{B}\times \frac{B}{C}\times \frac{C}{D}=\frac{2}{3}\times \frac{2}{4}\times \frac{2}{5}=\frac{2}{15}$

$\Rightarrow A:D=2:15$