Question

If $A:B=1:2,B:C=3:4,C:D=5:6$, then value of $A:D$ will be

• A. $\frac{5}{8}$
• B. $\frac{8}{5}$
• C. $\frac{5}{16}$
• D. $\frac{15}{48}$

Answer 1

Answer: (C)

$\frac{5}{16}$

Given, $\frac{C}{D}$$=\frac{5}{6}$$\Rightarrow C=\frac{5}{6}D$ ...(1)

And, $\frac{B}{C}$$=\frac{3}{4}$ $\Rightarrow B=\frac{3}{4}C$ ...(2)

$\therefore B=\frac{3}{4}\times \frac{5}{6}D$ $=\frac{5}{8}D$ ...(From 1 & 2) ...(3)

Now, $\frac{A}{B}$$=\frac{1}{2}$ ....Given

$\Rightarrow A=\frac{1}{2}B$ $=\frac{1}{2}\times \frac{5}{8}D$ ...From (3)

$\Rightarrow A=\frac{5}{16}D$