SSC CPO 2024 PYQ — Question 121

The correct answer is option 3 i.e. 5.8.

According to the given question,

 [$(7\frac{1}{4})^2$ - $(5\frac{4}{5})^2$] ÷ $5\frac{4}{5}$ × $\frac{16}{9}$

Applying the rule of BODMAS,

⇒ [$({29 \over 4})^2$ - $(\frac{29}{5})^2$] ÷ $\frac{29}{5}$ × $\frac{16}{9}$

⇒ [{${29 \over 4}$ + $\frac{29}{5}$}{${29\over 4}$ - $\frac{29}{5}$}] ÷ $\frac{29}{5}$ × $\frac{16}{9}$

⇒ [$\frac{261}{20}$ × ${29 \over 20}$] ÷ $\frac{29}{5}$ × $\frac{16}{9}$

⇒ $7569 \over 400$ ÷ $\frac{29}{5}$ × $\frac{16}{9}$

⇒ $7569 \over 400$ × $\frac{5}{29}$ × $\frac{16}{9}$ = $29 \over 5$

⇒ 5.8

Hence the required answer is 5.8.