SSC CGL 2025 PYQ — Question 74

SSC CGL - 14 Sep 2025 - Shift 3 • Quantitative Aptitude • Q74

Evaluate the expression: (14÷23)÷(215÷110−710)\left(\frac{1}{4} \div \frac{2}{3}\right) \div \left(\frac{2}{15} \div \frac{1}{10} - \frac{7}{10}\right)

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 4576\frac{45}{76}.

(14÷23)÷(215÷110−710)\left(\frac{1}{4} \div \frac{2}{3}\right) \div \left(\frac{2}{15} \div \frac{1}{10} - \frac{7}{10}\right)

=(14×32)÷(215×10−710)=\left(\frac{1}{4} \times \frac{3}{2}\right) \div \left(\frac{2}{15} \times 10 - \frac{7}{10}\right)

=38÷(43−710)=\frac{3}{8} \div \left(\frac{4}{3} - \frac{7}{10}\right)

= 3/8 ÷ 19/30

= 45/76