SSC CGL 2023 PYQ — Question 18

The correct answer is option 2 i.e. $\frac{1}{72}$.

$\left[\frac{1}{8} + \left\{ \frac{1}{6} \times \left(\frac{36}{45}\div \frac{24}{25}\right) - \left(\frac{12}{21} \times \frac{14}{15}\div \frac{24}{45}\right)\right\} + \frac{27}{36}\right]$

⇒ $\left[\frac{1}{8} + \left\{ \frac{1}{6} \times \left(\frac{36}{45}\times \frac{25}{24}\right) - \left(\frac{12}{21} \times \frac{14}{15}\times \frac{45}{24}\right)\right\} + \frac{27}{36}\right]$

⇒ $\left[\frac{1}{8} + \left\{ \frac{1}{6} \times\frac{5}{6} - 1\right\} + \frac{27}{36}\right]$

⇒ $\left[\frac{1}{8} - \frac{31}{36} + \frac{27}{36}\right]$

⇒ $\frac{36-248+216}{288}$

⇒ $\frac{4}{288}$

⇒ $\frac{1}{72}$