Question : To do certain work, Ajay and Bharat work on alternate days, with Bharat starting the work on the first day. Ajay can finish the work alone in 32 days. If the work gets completed in exactly 8 days, then Bharat alone can finish 7 times the same work in _______ days.

Option 1: $\frac{28}{8}$

Option 2: $4$

Option 3: $\frac{32}{7}$

Option 4: $32$

Question : R, S, and T can finish a work in 20,15, and 10 days, respectively. R works on all days and S and T work on alternate days with T starting the work on the first day. In how many days is the work finished?

Option 1: $\frac{61}{7}$

Option 2: $\frac{50}{7}$

Option 3: $\frac{52}{7}$

Option 4: $\frac{57}{8}$

Question : P, Q, and R can finish a work in 5 days, 10 days, and 15 days, respectively, working alone. P and Q work on the first day, P and R work on the second day, P and Q work on the third day and so on till the work is completed. In how many days the work will be completed?

Option 1: $\frac{13}{2}$

Option 2: $\frac{9}{2}$

Option 3: $\frac{7}{2}$

Option 4: $\frac{5}{2}$

Question : A alone can finish a work in 15 days. A works only for the first two days and the last two days. The rest work is done by B and the work is completed in 20 days. In how many days A and B together can finish the work?

Option 1: $\frac{90}{8}$

Option 2: $\frac{80}{7}$

Option 3: $\frac{80}{9}$

Option 4: $\frac{70}{8}$

Question : A alone can do a work in 14 days. B alone can do the same work in 28 days. C alone can do the same work in 56 days. They started the work together and completed the work such that B was not working in the last 2 days and A did not work in the last 3 days. In how many days (total) was the work completed?

Option 1: $\frac{82}{7}$ days

Option 2: $\frac{79}{7}$ days

Option 3: $\frac{65}{7}$ days

Option 4: $\frac{72}{7}$ days

Question : A, B, and C can do a piece of work in 30, 20, and 10 days respectively. A is assisted by B on one day and by C on the next day, alternately. How long would the work take to finish?

Option 1: $9 \frac{3}{8}$ days

Option 2: $4 \frac{8}{8}$ days

Option 3: $8 \frac{4}{13}$ days

Option 4: $3 \frac{9}{13}$ days