SSC CPO 2023 PYQ — Question 125

The correct answer is option 1 i.e. $\frac{1}{5}$

Given that

$A +\frac{1}{1 + \frac{1}{2 + \frac{1}{3}}}$ = $\frac{9}{10}$

⇒ $A +\frac{1}{1 + \frac{1}{\frac{7}{3}}}$ = $\frac{9}{10}$

⇒ $A +\frac{1}{1 + \frac{3}{{7}}}$= $\frac{9}{10}$

⇒ $A +\frac{1}{\frac{10}{{7}}}$= $\frac{9}{10}$

⇒ $A +\frac{7}{{10}}$= $\frac{9}{10}$

⇒ A = $\frac{9}{10}$ - $\frac{7}{10}$

⇒ A = $\frac{2}{10}$ = $\frac{1}{5}$