Question : X and Y together can do a work in 10 days. Y and Z together can do the same work in 15 days. Z and X together can do the same work in 12 days. In how many days can Z alone do the same work?

Option 1: 80 days

Option 2: 60 days

Option 3: 40 days

Option 4: 50 days

Question : X can do a piece of work alone in 15 days while Y alone can do it in 10 days. They worked together for 3 days and the remaining work was finished by Z in 1 day. If they get paid Rs. 4000 for the entire work, then what is the share of Z?

Option 1: Rs. 2000

Option 2: Rs. 1000

Option 3: Rs. 1200

Option 4: Rs. 800

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 : J₁ can do a piece of work alone in 10 days, J₂ can do the same work alone in 12 days, while J₃ can do it alone in 15 days. They work together and complete the work, and receive a total of INR 2,250 for doing the work. What is the difference in the shares of J₁ and J₃?

Option 1: INR 450

Option 2: INR 400

Option 3: INR 300

Option 4: INR 350

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