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: $\frac{1}{7}$

Question : A piece of work can be completed by P and Q together in 24 days, and the same piece of work can be completed by R alone in 60 days. If P and R together can do the same work in 36 days, then find the time taken by Q to complete this piece of work alone.

Option 1: $8\frac{4}{5}$days

Option 2: $29\frac{9}{13}$days

Option 3: $3\frac{6}{7}$days

Option 4: $32\frac{8}{11}$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 : A alone can do a piece of work in 10 days. B alone can do the same work in 12 days. They work on alternate days starting with A. In how many days will they complete $\frac{3}{4}$th of the total work?

Option 1: $\frac{47}{3}$ days

Option 2: $\frac{50}{3}$ days

Option 3: $\frac{53}{6}$ days

Option 4: $\frac{49}{6}$ days

Question : X alone can complete a piece of work in 16 days, while Y alone can complete the same work in 24 days. They work on alternate days starting with Y. In how many days will 50% of the total work be completed?

Option 1: $\frac{24}{3}$ days

Option 2: $\frac{29}{3}$ days

Option 3: $\frac{32}{3}$ days

Option 4: 9 days