The value of 9÷[1/2+1/3+1/4+1/6÷(3/4-1/3) \ of \ 2/9] is:

The value of $9\div[\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{6}\div(\frac{3}{4}-\frac{1}{3}) \ of \ \frac{2}{9}]$ is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. $\frac{540}{173}$

⇒ $9\div[\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{6}\div(\frac{3}{4}-\frac{1}{3}) \ of \ \frac{2}{9}]$

⇒ $9\div[\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{6}\div\frac{5}{54}]$

⇒ $9\div[\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+ \frac{9}{5}]$

⇒ $9\div[\frac{173}{60}]$

⇒ $\frac{540}{173}$ .

SSC CGL 2022 PYQ — Question 71