Question

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

• A. $2:3:3$
• B. $1:2:6$
• C. $3:2:6$
• D. $9:6:4$

Answer 1

Answer: (D)

$9:6:4$

$A:B=\frac{1}{2}:\frac{1}{3}=\frac{1}{2}\times 6:\frac{1}{3}\times 6=3:2$

$B:C=\frac{1}{2}:\frac{1}{3}=3:2$

By taking the L.C.M. of $2$ and $3$, i.e., $6$, we can make the value of $B$ equal in both the ratio.

$\frac{A}{B}=\frac{3}{2}=\frac{9}{6}$ and $\frac{B}{C}=\frac{3}{2}=\frac{6}{4}$

$\therefore A:B:C=9:6:4$.