Question : A can do a piece of work in 24 days and B can do the same work in 30 days. If they work on it together for 8 days, then the fraction of the work that is left is:

Option 1: $\frac{2}{3}$

Option 2: $\frac{2}{5}$

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

Option 4: $\frac{1}{3}$

Question : X can do a piece of work in 14 days, Y can do the same work in 28 days and Z can do it in 42 days. In how many days can X, Y, and Z together complete the work?

Option 1: $7 \frac{9}{11}$

Option 2: $7 \frac{7}{11}$

Option 3: $7 \frac{5}{11}$

Option 4: $7 \frac{3}{11}$

Question : A and B together can complete a work in 20 days. B and C together can complete the same work in 15 days. If A, B, and C all work together, then the same work gets completed in 10 days. How many days will A and C together take to complete the same work?

Option 1: 8 days

Option 2: 10 days

Option 3: 15 days

Option 4: 12 days

Question : A can finish a work in 7 days. B can finish the same work in 9 days. The number of days required to finish the same work by both of them together is:

Option 1: $1\frac{15}{16}$

Option 2: $2\frac{15}{16}$

Option 3: $3\frac{15}{16}$

Option 4: $4\frac{15}{16}$

Question : A can finish a work in 25 days, and B can do the same work in 15 days. B worked for 10 days and left the job. A alone can finish the remaining work in how many days?

Option 1: $7 \frac{1}{3}$ days

Option 2: $6 \frac{1}{3}$ days

Option 3: $8 \frac{1}{3}$ days

Option 4: $5 \frac{1}{3}$ days