SSC GD 2021 PYQ — Question 62

The correct answer is option 1 i.e. $\frac{7}{24}$

By using BODMAS rule,

$(\frac{1}{4}\times \frac{3}{4} \div 1\frac{1}{4} of \frac{2}{5})\div(\frac{3}{4}\div1\frac{2}{3}of\frac{4}{5})-(\frac{1}{2}-\frac{1}{2}\times\frac{1}{4})$

= $(\frac{1}{4}\times \frac{3}{4} \div \frac{1}{2})\div(\frac{3}{4}\div\frac{4}{3})-(\frac{1}{2}-\frac{1}{8})$

= $(\frac{1}{4}\times \frac{3}{4} \times \frac{2}{1})\div(\frac{3}{4}\times\frac{3}{4})-\frac{3}{8}$

= $\frac{3}{8}\times(\frac{4}{3}\times\frac{4}{3})-\frac{3}{8}$

= $\frac{2}{3}-\frac{3}{8} = \frac{7}{24}$