SSC CHSL 2023 PYQ — Question 69

The correct answer is Option 4 i.e. 25/123.

$\frac{\frac{5}{2}\div\frac{2}{5}\times \frac{1}{5}-\frac{1}{5}\div\frac{3}{5}\times\frac{5}{2}}{\frac{2}{5}\div\frac{1}{5}-\frac{1}{2}\times\frac{5}{2}\div \frac{25}{4}+\frac{1}{2}\div\frac{2}{5}\times \frac{1}{5}}$

$=\frac{\frac{5}{2} \times \frac{5}{2} \times \frac{1}{5} - \frac{1}{5} \times \frac{5}{3} \times \frac{5}{2}}{\frac{2}{5} \times \frac{5}{1} - \frac{1}{2} \times \frac{5}{2} \times \frac{4}{25} + \frac{1}{2} \times \frac{5}{2} \times \frac{1}{5}}$

$= \frac{\frac{5}{4} - \frac{5}{6}}{\frac{2}{1} - \frac{1}{5} + \frac{1}{4}}$

$=\frac{\frac{5}{12}}{\frac{41}{20}}$

= 25/123