SSC MTS 2022 PYQ — Question 55

The correct answer is option 1 i.e. $\frac{6507}{1960}$

Explanation:

$\frac{\frac{5}{11} \div \frac{7}{25} \times \frac{33}{28} + \frac{5}{12} \times \frac{2}{3} \div \frac{25}{27}}{\frac{6}{11} \times \frac{5}{12} \div \frac{15}{44}}$ = $\frac{\frac{5}{11} \times \frac{25}{7} \times \frac{33}{28} + \frac{5}{12} \times \frac{2}{3} \times\frac{27}{25}}{\frac{6}{11} \times \frac{5}{12} \times \frac{44}{15}}$

⇒$\frac{\frac{375}{196} + \frac{3}{10}}{\frac{2}{3} }$ = $\frac{\frac{4338}{1960} }{\frac{2}{3}}$

⇒ ${4338 \times 3 \over 1960 \times 2}$ = $\frac{6507}{1960}$

Hence therequired answer is $\frac{6507}{1960}$ .