SSC GD 2023 PYQ — Question 57

SSC GD Constable (English) - 24 Jan 2023 - Shift 2 • Quantitative Aptitude • Q57

Simplify the given expression.

74÷135of(552)1311÷1511of145\frac{\frac{7}{4}÷\frac{13}{5}of (\frac{5}{52})}{\frac{13}{11}÷\frac{15}{11}of \frac{14}{5}}

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. ​​29413\frac{294}{13}.

The value of 74÷135of(552)1311÷1511of145\frac{\frac{7}{4}÷\frac{13}{5}of (\frac{5}{52})}{\frac{13}{11}÷\frac{15}{11}of \frac{14}{5}}

⇒ 74÷135×(552)1311÷1511×145\frac{\frac{7}{4}÷\frac{13}{5}\times (\frac{5}{52})}{\frac{13}{11}÷\frac{15}{11}\times \frac{14}{5}} = 74÷141311÷4211\frac{\frac{7}{4}÷\frac{1}{4}}{\frac{13}{11}÷\frac{42}{11}} = 74×411311×1142\frac{\frac{7}{4}\times\frac{4}{1}}{\frac{13}{11}\times\frac{11}{42}} = 711342\frac{\frac{7}{1}}{\frac{13}{42}} = 71×4213{\frac{7}{1}}\times{\frac{42}{13}} = 294/13