SSC CPO 2023 PYQ — Question 109

The correct answer is option 4 i.e. - 169/40.

Given that

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

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

⇒ $\frac{7}{5}-[\frac{15}{4}\div{(\frac{5}{4}\div\frac{1}{2}(\frac{3}{2}\times \frac{10}{3}\div\frac{4}{3}))}]$

⇒ $\frac{7}{5}-[\frac{15}{4}\div{(\frac{5}{4}\div\frac{1}{2}(\frac{3}{2}\times \frac{10}{3}\times\frac{3}{4}))}]$

⇒ $\frac{7}{5}-[\frac{15}{4}\div{(\frac{5}{4}\div\frac{1}{2}(\frac{15}{4}))}]$

⇒ $\frac{7}{5}-[\frac{15}{4}\div{(\frac{5}{4}\times\frac{8}{15})}]$

⇒ $\frac{7}{5}-[\frac{15}{4}\div{\frac{2}{3}}]$

⇒ $\frac{7}{5}-[\frac{15}{4}\times{\frac{3}{2}}]$

⇒ $\frac{7}{5}-\frac{45}{8}$ = - 169/40