Question : Aadish can complete a work in 14 days. If he worked for 8 days, then what fraction of the work would be left?
Option 1: $\frac{2}{7}$
Option 2: $\frac{3}{7}$
Option 3: $\frac{4}{7}$
Option 4: $\frac{1}{7}$
Correct Answer: $\frac{3}{7}$
Solution :
If Aadish can complete the work in 14 days, then in 1 day he completes $\frac{1}{14}$ of the work.
So, in 8 days, he completes $=8 \times \frac{1}{14}= \frac{8}{14} = \frac{4}{7}$ of the work.
Therefore, the fraction of the work that is left $=1 - \frac{4}{7} = \frac{3}{7}$
Hence, the correct answer is $\frac{3}{7}$.
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