Question : Rohit and Mohit can do a piece of work in 4 days, while Ram and Shyam can do the same work in 12 days. In how many days will Rohit, Mohit, Ram, and Shyam do it together?

Option 1: 5 days

Option 2: 3 days

Option 3: 4 days

Option 4: 2 days

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

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 : P and Q can do a piece of work in 24 days, while R and S can do the same work in 8 days. In how many days P, Q, R, and S do it together?

Option 1: 10 days

Option 2: 6 days

Option 3: 7 days

Option 4: 5 days

Question : A, B, and C together can do a piece of work in 6 days. A and B together can do the same work in 12 days. B alone can do the same work in 18 days. In how many days can A and C together do the same work?

Option 1: 9 days

Option 2: 10.5 days

Option 3: 8 days

Option 4: 7.5 days

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