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SSC CHSL 2023 PYQ — Question 52

SSC CHSL - 09 March 2023 - Shift 3 • Quantitative Aptitude • Q52

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What is the value of 12+34÷14+34÷12+1434×14÷12−12÷34×14\frac{\frac{1}{2}+\frac{3}{4}\div\frac{1}{4}+\frac{3}{4}\div \frac{1}{2}+\frac{1}{4}}{\frac{3}{4}\times \frac{1}{4}\div \frac{1}{2}-\frac{1}{2}\div \frac{3}{4}\times \frac{1}{4}}?

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 126/5.

12+34÷14+34÷12+1434×14÷12−12÷34×14\frac{\frac{1}{2}+\frac{3}{4}\div\frac{1}{4}+\frac{3}{4}\div \frac{1}{2}+\frac{1}{4}}{\frac{3}{4}\times \frac{1}{4}\div \frac{1}{2}-\frac{1}{2}\div \frac{3}{4}\times \frac{1}{4}}

=12+3+32+1434×12−23×14=\frac{\frac{1}{2}+3+\frac{3}{2}+\frac{1}{4}}{\frac{3}{4}\times \frac{1}{2}-\frac{2}{3}\times \frac{1}{4}}

=21438−16=\frac{\frac{21}{4}}{\frac{3}{8}-\frac{1}{6}}

= (21/4)/(5/24)

= 126/5