SSC CPO 2023 PYQ — Question 124

The correct answer is option 3 i.e. $\frac{1}{3}$

Given that

Simplify $\frac{1-\frac{3}{7}\div\frac{9}{49}\times \frac{3}{14}}{1+\frac{3}{5}\div\frac{1}{25}\times \frac{1}{30}}$

⇒ $\frac{1-\frac{3}{7}\div\frac{9}{49}\times \frac{3}{14}}{1+\frac{3}{5}\div\frac{1}{25}\times \frac{1}{30}}$

⇒ $\frac{1-(\frac{3}{7}\times\frac{49}{9})\times \frac{3}{14}}{1+(\frac{3}{5}\times\frac{25}{1})\times \frac{1}{30}}$

⇒ $\frac{1-\frac{7}{3}\times \frac{3}{14}}{1+ 15\times \frac{1}{30}}$

⇒ $\frac{1-\frac{1}{2}}{1+\frac{1}{2}}$

⇒ (1/2)/(3/2)

⇒ 1/3