Question : X alone can complete a piece of work in 16 days, while Y alone can complete the same work in 24 days. They work on alternate days starting with Y. In how many days will 50% of the total work be completed?

Option 1: $\frac{24}{3}$ days

Option 2: $\frac{29}{3}$ days

Option 3: $\frac{32}{3}$ days

Option 4: 9 days

Question : P, Q, and R alone can do a piece of work in 5, 6, and 4 days, respectively. All three of them began the work together but Q left 1 day before completion of the work. In how many days was the work completed?

Option 1: $\frac{70}{37}$ days

Option 2: $\frac{100}{27}$ days

Option 3: $3$ days

Option 4: $\frac{80}{23}$ 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 : $\mathrm{N}_1$ alone can do 20% of a piece of work in 6 days, $\mathrm{N}_2$ alone can do 20% of the same work in 4 days, and $\mathrm{N}_3$ alone can do 50% of the same work in 12 days. In how many days can they complete the work, if all of them work together?

Option 1: 10 days

Option 2: $\frac{120}{13}$ days

Option 3: 8 days

Option 4: $\frac{120}{17}$ days

Question : Kajal can do a piece of work alone in 24 days, while Neha can do the same work alone in 40 days. Kajal started the work alone, and then after 12 clays, Neha joined her till the completion of the work. How long did the work take to be completed since Kajal started to work on it?

Option 1: $\frac{37}{4}$ days

Option 2: $\frac{39}{2}$ days

Option 3: $\frac{37}{2}$ days

Option 4: $\frac{39}{4}$ days