SSC CHSL 2024 PYQ — Question 61

SSC CHSL - 03 July 2024 - Shift 4 • Quantitative Aptitude • Q61

Simplify the following expression.

214×315+5162 \frac{1}{4} \times 3 \frac{1}{5} +5 \frac{1}{6} of 2431÷323+4172 \frac{4}{31} \div 3 \frac{2}{3} + 4 \frac{1}{7} of 1629.1 \frac{6}{29}.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 151515\frac{1}{5}.

 214×315+5162 \frac{1}{4} \times 3 \frac{1}{5} +5 \frac{1}{6} of 2431÷323+4172 \frac{4}{31} \div 3 \frac{2}{3} + 4 \frac{1}{7} of 1629.1 \frac{6}{29}.

⇒  94×165+316\frac{9}{4} \times \frac{16}{5} +\frac{31}{6} of 6631÷113+297 \frac{66}{31} \div \frac{11}{3} + \frac{29}{7} of 3529. \frac{35}{29}.

⇒  94×165+11\frac{9}{4} \times \frac{16}{5} +11  ÷113+5 \div \frac{11}{3} + 5  

⇒  94×165+3\frac{9}{4} \times \frac{16}{5} +3  +5 + 5  

⇒  365+3\frac{36}{5} +3  +5 + 5  

⇒ 151515\frac{1}{5}