Question : A can do a piece of work in 8 days and B can do it in 10 days separately. How many days would it take for both A and B to finish the same work together?

Option 1: $\frac{33}{8}$

Option 2: $\frac{40}{9}$

Option 3: $\frac{41}{10}$

Option 4: $\frac{42}{11}$

Question : 10 women can do a work in 6 days and 6 men can do the same work in 5 days. If all these men and women work together, then how many days will they take to finish this work?

Option 1: $2\frac{8}{11}$

Option 2: $4\frac{6}{11}$

Option 3: $1\frac{2}{11}$

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

Question : A and B can finish a work in 10 days, B and C can finish it in 12 days and C and A can finish in 6 days. In how many days A alone can finish the work?

Option 1: $\frac{120}{9}$

Option 2: $12$

Option 3: $\frac{120}{11}$

Option 4: $\frac{121}{12}$

Question : A, B, and C can do a piece of work in 30, 20, and 10 days respectively. A is assisted by B on one day and by C on the next day, alternately. How long would the work take to finish?

Option 1: $9\frac{3}{8}$ days

Option 2: $4\frac{8}{8}$ days

Option 3: $8\frac{4}{13}$ days

Option 4: $3\frac{9}{13}$ days

Question : A can do a piece of work in 10 days, B can do it in 12 days and C can do it in 15 days. In how many days will A, B, and C finish it, working all together?

Option 1: $6$ days

Option 2: $5\frac{1}{4}$ days

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

Option 4: $4$ days

Question : A can do $\frac{1}{3}$rd of a piece of work in 32 days, B can do $37\frac{1}{2}$% of the same work in 24 days, while C can do 60% of the same work in 48 days. B and C together started and worked for x days. After x days, B left and A joined C and together, completed the remaining work in (x + 8) days. If the ratio of the work done by (B + C) together to the work done by (A + C) together is 9 : 11, then what fraction of the same work can be completed by C alone in 3.5x days?

Option 1: $\frac{18}{25}$

Option 2: $\frac{4}{5}$

Option 3: $\frac{7}{10}$

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