Question : A can do a piece of work alone in 15 days, while B complete the same piece of work alone in 12 days. If they work on it together for 5 days, then the fraction of the work that will be left is:

Option 1: $\frac{3}{4}$

Option 2: $\frac{5}{8}$

Option 3: $\frac{1}{4}$

Option 4: $\frac{5}{7}$

Question : A can do a work in 6 days, which B alone can do in 8 days. In how many days they together can do it?

Option 1: $\frac{24}{7}$ days

Option 2: $\frac{25}{7}$ days

Option 3: $\frac{27}{4}$ days

Option 4: $\frac{22}{3}$ days

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 : $\mathrm{N}_1$ alone can do 20% of a piece of work in 6 days, $\mathrm{N}_2$ alone can do 20% of the same work in 4 days, and $\mathrm{N}_3$ alone can do 50% of the same work in 12 days. In how many days can they complete the work, if all of them work together?

Option 1: 10 days

Option 2: $\frac{120}{13}$ days

Option 3: 8 days

Option 4: $\frac{120}{17}$ days

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: $\frac{11}{30}$