SSC CHSL 2023 PYQ — Question 55

The correct answer is option 4 i.e.  $16\frac{5}{8}$.

$\frac{\left( 4\frac{1}{3} + 3 \frac{1}{3} \times 1 \frac{4}{5} \div 3 \frac{3}{4} \times \left( 1 \frac{1}{2} + 1 \frac{1}{3} \right) \right)}{\left( \frac{2}{3} \div \frac{5}{6} \times \frac{2}{3} \right) }$

$=\frac{\left( \frac{13}{3} + \frac{10}{3} \times \frac{9}{5} \div \frac{15}{4} \times \left( \frac{3}{2} + \frac{4}{3} \right) \right)}{\left( \frac{2}{3} \times \frac{6}{5} \times \frac{2}{3} \right) }$

$=\frac{\left( \frac{13}{3} + \frac{10}{3} \times \frac{9}{5} \times \frac{4}{15} \times \frac{17}{6} \right)}{\frac{8}{15} }$

$=\frac{\left( \frac{13}{3} + \frac{68}{15} \right)}{\frac{8}{15} }$

= (133/15)/(8/15)

= 133/8

= $16\frac{5}{8}$

Therefore, the value of the expression is $16\frac{5}{8}$.