SSC CPO 2022 PYQ — Question 114

The correct answer is option 4 i.e. $29 \frac 4 9$.

Given that 

$81^{\frac 3 4} + [(20 \div 5 \space of \space 3 \times 6) + \{(8 \div 24 \space of \space 3) \times 4\} - 10 \div 5] - (\frac {1}{32})^{-\frac {2}{5}}$

⇒ 27 + [(20 ÷ 15 × 6) + {(8 ÷ 72) × 4} - 2] - 4

⇒ 27 + [(4/3) × 6 + {4/9} - 2] - 4

⇒ 27 + [8 - 14/9] - 4

⇒ 27 + 58/9 - 4

⇒ 23 + 58/9

⇒ 265/9 = $29 \frac 4 9$