Question : P and Q together can do a work in 12 days. P alone can do the same work in 18 days. In how many days can Q alone complete two-thirds part of the same work?

Option 1: 30

Option 2: 21

Option 3: 24

Option 4: 36

Question : P and Q can do a piece of work in 14 days. Q and R together can do it in 21 days. If P is twice as good a workman as R, then in how many days Q alone can do the work?

Option 1: 42 days

Option 2: 40 days

Option 3: 35 days

Option 4: 38 days

Question : A and B together can complete a project in 10 days. They started together, but A left after 2 days and the remaining work was completed by B in 12 days. In how many days can A complete the entire work while working alone?

Option 1: 15 days

Option 2: 20 days

Option 3: 30 days

Option 4: 45 days

Question : A can do work in 12 days and B in 24 days. If they work together, in how many days will they finish the work?

Option 1: 12 days

Option 2: 20 days

Option 3: 15 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: $\frac{6}{25}$