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SSC CHSL 2022 PYQ — Question 75

SSC CHSL - 26 May 2022 - Shift 3 • Quantitative Aptitude • Q75

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Simplify the following expression.

915÷9\frac{1}{5}\div{1615÷1223−923+1712 of 312116\frac{1}{5}\div 12\frac{2}{3}-9\frac{2}{3}+17\frac{1}{2} \ of \ 3\frac{1}{21}}

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Correct answer: D

Explanation

The correct answer is option 4 i.e.  138881\frac{138}{881}

915÷{(1615÷1223−923)+1712 of 3121}⇒9×5+15÷{(16×5+15÷12×3+23−9×3+23)+352 of 6421}⇒465÷{(815÷383−293)+352 of 6421}⇒465÷{(815÷(38−29)3)+352 of 6421}⇒465÷{(815÷3)+352×6421}⇒465÷{(275)+1603}⇒465÷88115⇒138881\begin{aligned} & 9 \frac{1}{5} \div\left\{\left(16 \frac{1}{5} \div 12 \frac{2}{3}-9 \frac{2}{3}\right)+17 \frac{1}{2} \text { of } 3 \frac{1}{21}\right\} \\ & \Rightarrow \frac{9 \times 5+1}{5} \div\left\{\left(\frac{16 \times 5+1}{5} \div \frac{12 \times 3+2}{3}-\frac{9 \times 3+2}{3}\right)+\frac{35}{2} \text { of } \frac{64}{21}\right\} \\ & \Rightarrow \frac{46}{5} \div\left\{\left(\frac{81}{5} \div \frac{38}{3}-\frac{29}{3}\right)+\frac{35}{2} \text { of } \frac{64}{21}\right\} \\ & \Rightarrow \frac{46}{5} \div\left\{\left(\frac{81}{5} \div \frac{(38-29)}{3}\right)+\frac{35}{2} \text { of } \frac{64}{21}\right\} \\ & \Rightarrow \frac{46}{5} \div\left\{\left(\frac{81}{5} \div 3\right)+\frac{35}{2} \times \frac{64}{21}\right\} \\ & \Rightarrow \frac{46}{5} \div\left\{\left(\frac{27}{5}\right)+\frac{160}{3}\right\} \\ & \Rightarrow \frac{46}{5} \div \frac{881}{15} \\ & \Rightarrow \frac{138}{881} \end{aligned}