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: $\frac{1}{7}$
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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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Question : Tina can do a work in 15 days and Manya can do the same work in 18 days. If they worked for 6 days, then what is the fraction of work is left?
Option 1: $\frac{4}{15}$
Option 2: $\frac{8}{15}$
Option 3: $\frac{11}{15}$
Option 4: $\frac{11}{30}$
Question : A can do a piece of work in 8 days which B can destroy in 3 days. A has worked for 6 days, during the last 2 days of which B has been destroying; how many days must A work alone to complete the remaining work?
Option 1: $7\ \text{days}$
Option 2: $7\frac{1}{3}\ \text{days}$
Option 3: $7\frac{2}{3}\ \text{days}$
Option 4: $8\ \text{days}$
Question : A alone can complete a work in 16 days and B alone can complete the same work in 96 days. In how many days both A and B together can complete the same work?
Option 1: $\frac{88}{13}$ days
Option 2: $\frac{96}{7}$ days
Option 3: $\frac{96}{13}$ days
Option 4: $\frac{88}{14}$ days
Question : Rahul can complete his work in 7 days and Raj can complete the work in 4 days. How many total days will they take to complete the work together?
Option 1: $\frac{14}{11}$ days
Option 2: $\frac{15}{11}$ days
Option 3: $\frac{28}{13}$ days
Option 4: $\frac{28}{11}$ days
Question : A and B together can finish a work in 20 days. If they worked together for 8 days, then what was the share of work that was yet to be completed?
Option 1: $\frac{3}{5}$
Option 2: $\frac{4}{5}$
Option 3: $\frac{2}{5}$
Option 4: $\frac{1}{5}$
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