Question : A can complete one-third of a work in 10 days and B can do $\frac{3}{5}$ th of the same work in 24 days. They worked together for 10 days. The remaining work was completed by C alone in 15 days. In how many days can C alone do $\frac{2}{3}$rd of the same work?

Option 1: 27

Option 2: 24

Option 3: 30

Option 4: 32

Question : A can do $\frac{2}{5}$ of a work in 6 days and B can do $\frac{2}{3}$ of the same work in 12 days. A and B worked together for 6 days. C alone completed the remaining work in 8 days. A and C, working together, will complete the same work in:

Option 1: 9 days

Option 2: 12 days

Option 3: 10 days

Option 4: 8 days

Question : A can-do $\frac{1}{5}$ of a piece of work in 20 days, B can do 30% of the same work in 36 days, and C can do 80% of the same work in 160 days. B and C together started and worked for x days. After x days B left the work, and A joined C and both completed the remaining work in (x - 41) days. If the ratio between the work done by (B + C) together to the work done by (A + C) together is 19: 6, then what fraction of the same work can be completed by C alone in 2x days?

Option 1: $\frac{57}{100}$

Option 2: $\frac{13}{25}$

Option 3: $\frac{19}{25}$

Option 4: $\frac{6}{25}$

Question : Jeevan can do a piece of work alone in 42 days, while Rishi and Jeevan together can do the same piece of work in 27 days. How many days will Rishi take to complete the same piece of work alone?

Option 1: $74 \frac{3}{5}$

Option 2: $75 \frac{1}{5}$

Option 3: $75 \frac{4}{5}$

Option 4: $75 \frac{3}{5}$

Question : A can do $\frac{2}{5}$ of a work in 12 days while B can do $66 \frac{2}{3}\%$ of the same work in 16 days. They work together for 10 days. B alone will complete the remaining work in:

Option 1: 6 days

Option 2: 4 days

Option 3: 8 days

Option 4: 9 days