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 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 : 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 : If p : q : r = 2 : 5 : 3 and r : s = 6 : 5, then what is the value of p : q : r : s?

Option 1: 4 : 12 : 7 : 3

Option 2: 4 : 10 : 6 : 5

Option 3: 6 : 5 : 8 : 10

Option 4: 8 : 12 : 7 : 8

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 : Seema alone can do a piece of work in 8 days and her sister Reema alone can do the same work in 24 days. If they worked together, then in how many days they will complete the work?

Option 1: 8 days

Option 2: 6 days

Option 3: 10 days

Option 4: 4 days