SSC CHSL 2024 PYQ — Question 66

The correct answer is option 4 i.e. 1.

$\frac{\left( \frac{1}{4} \div \frac{1}{4} \times \frac{1}{4} \right) \times \frac{1}{4}}{\left( \frac{1}{8} + \frac{1}{8} \times \frac{1}{8} \right)} + \left( 1 - \frac{4}{9} \right)$

$=\frac{\left( \frac{1}{4} \times 4 \times \frac{1}{4} \right) \times \frac{1}{4}}{\left( \frac{1}{8} + \frac{1}{64} \right)} + \frac{5}{9}$

$=\frac{ \frac{1}{4} \times \frac{1}{4}}{\frac{9}{64} } + \frac{5}{9}$

= (1/16)/(9/64) + (5/9)

= (4/9) + (5/9)

= 9/9

= 1

Therefore, the value of the expression is 1.