Question : S alone can do a piece of work in 14 days. T alone can do the same work in 21 days. U alone can do the same work in 28 days. Working together, in how many days will they complete the work?

Option 1: $\frac{84}{13}$ days

Option 2: $\frac{77}{13}$ days

Option 3: $\frac{71}{13}$ days

Option 4: $\frac{87}{13}$ 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 : Akbar can complete a piece of work alone in 12 days, while Anthony can complete the same work alone in 20 days. If they work on alternate days with Anthony starting the work, then in how many days can they complete the whole work?

Option 1: $15$ days

Option 2: $16$ days

Option 3: $14 \frac{4}{5}$ days

Option 4: $15 \frac{1}{5}$ 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: $\frac{11}{30}$

Question : $P_1$ and $P_2$ can do a piece of work together in 14 days, $P_2$ and $P_3$ can do the same work together in 21 days, while $P_3$ and $P_1$ can do it together in 42 days. How much work can all the 3 together do in 12 days?

Option 1: $\frac{5}{6}$

Option 2: $\frac{5}{7}$

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

Option 4: $\frac{3}{7}$