SarkariPYQ

SSC CHSL 2023 PYQ — Question 65

SSC CHSL - 09 March 2023 - Shift 2 • Quantitative Aptitude • Q65

Back to paper

What is the value of 11÷12×12+12×12÷1214×14÷12+14÷14×12−14÷12×12\frac{\frac{1}{1}\div \frac{1}{2}\times \frac{1}{2}+\frac{1}{2}\times \frac{1}{2}\div \frac{1}{2}}{\frac{1}{4}\times \frac{1}{4}\div \frac{1}{2}+\frac{1}{4}\div \frac{1}{4}\times \frac{1}{2}-\frac{1}{4}\div \frac{1}{2}\times \frac{1}{2}}?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 4​​.

11÷12×12+12×12÷1214×14÷12+14÷14×12−14÷12×12\frac{\frac{1}{1}\div \frac{1}{2}\times \frac{1}{2}+\frac{1}{2}\times \frac{1}{2}\div \frac{1}{2}}{\frac{1}{4}\times \frac{1}{4}\div \frac{1}{2}+\frac{1}{4}\div \frac{1}{4}\times \frac{1}{2}-\frac{1}{4}\div \frac{1}{2}\times \frac{1}{2}}

=2×12+1214×12+12−12×12=\frac{2\times \frac{1}{2}+\frac{1}{2}}{\frac{1}{4}\times \frac{1}{2}+\frac{1}{2}- \frac{1}{2}\times \frac{1}{2}}

=1+1218+12−14=\frac{1+\frac{1}{2}}{\frac{1}{8}+\frac{1}{2}- \frac{1}{4}}

=3238=\frac{\frac{3}{2}}{\frac{3}{8}}

= 8/2

= 4