SSC CHSL 2023 PYQ — Question 58

SSC CHSL - 09 Aug 2023 - Shift 4 • Quantitative Aptitude • Q58

Find the  value of the given expression.

(212÷178)÷(938÷1123of18) \left ( 2\frac{1}{2}\div 1\frac{7}{8} \right )\div \left ( 9\frac{3}{8}\div 11\frac{2}{3}of\frac{1}{8}\right )

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 28135\frac{28}{135}.

(212÷178)÷(938÷1123of18) \left ( 2\frac{1}{2}\div 1\frac{7}{8} \right )\div \left ( 9\frac{3}{8}\div 11\frac{2}{3}of\frac{1}{8}\right )

=(52×815)÷(758÷353of18)= \left ( \frac{5}{2}\times \frac{8}{15} \right )\div \left ( \frac{75}{8}\div \frac{35}{3}of\frac{1}{8}\right )

=43÷(758÷3524)= \frac{4}{3}\div \left ( \frac{75}{8}\div \frac{35}{24}\right )

=43÷(758×2435)= \frac{4}{3}\div \left ( \frac{75}{8}\times \frac{24}{35}\right )

=43÷457= \frac{4}{3}\div \frac{45}{7}

= (4/3) × (7/45)

= 28/135