Question : D₁ and D₂ can do a piece of work together in 16 days. D₂ and D₃ can do the same work together in 24 days, while D₃ and D₁ can do it together in 48 days. In how many days can all 3, working together, do $\frac{5}{6}$ of the work?

Option 1: $\frac{31}{3}$ days

Option 2: $\frac{40}{3}$ days

Option 3: $\frac{35}{3}$ days

Option 4: $\frac{38}{3}$ days

Question : A can do one and a half as much work as B can do in one day. B alone can do a piece of work in 18 days. They together can finish that work in:

Option 1: $10\frac{1}{5}$ days

Option 2: $11\frac{1}{5}$ days

Option 3: $5\frac{1}{5}$ days

Option 4: $7\frac{1}{5}$ days

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 : $P_1$ 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: $\frac{3}{7}$

Question : S₁ and S₂ can do a piece of work together in 18 days, S₂ and S₃ can do the same work together in 27 days, while S₃ and S₁ can do it together in 54 days. In how many days can all 3, working together, do 50% of the work?

Option 1: 8 days

Option 2: 6 days

Option 3: 7 days

Option 4: 9 days