UP SI MATHS QUIZ

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Question 1:

$X$ and $Y$ together can do a piece of work in 8 days. If $X$ alone can do the same work in 40 days, then in how many days will $Y$ do the work alone?

Question 2:

A and B together can do a certain work in 36 days, whereas B and C together can do it 40 days. A, B and C together can do it in 30 days. B alone can do $\frac{7}{8}$ part of the original work in:

Question 3:

A can complete a work in 8 days. B can complete it in 12 days. With the assistance of C, they completed the work in 4 days. In how many days can C alone complete the same work ?

Question 4:

A can finish a work in 16 days and B can finish the same work in 15 days. After A had worked for 4 days, B also joined A to finish the remaining work. In how many days will the remaining work be finished?

Question 5:

$\mathrm{A}$ and $\mathrm{B}$ can complete a work in 6 days. $\mathrm{B}$ and $\mathrm{C}$ can complete the same work in 10 days. A, B and C together can complete the same work in 5 days. In how many days can $\mathrm{A}$ and $\mathrm{C}$ complete the same work?

Question 6:

Person A takes 28 hours to complete a work. Person B completes the same work in one-fourth of the time taken by A. If the two persons work together; in how much time will the work be completed?

Question 7:

Two men can complete as much work as 3 women can do in a certain time. Ten men and 6 women can complete a work in 5 days. If 4 men and 9 women work together, then in how many days will they be able to complete the same work ?

Question 8:

A and B can complete a piece of work in 120 days, B and C can complete it in 150 days, and A and C can complete it in 200 days. In how many days can B alone complete two-fifths of the same work ?

Question 9:

A can complete 25% of the work in 4 days, B can complete 50% of the same work in 12 days and C can complete the same work in 32 days. They started working together but C left after 4 days of the start and A left 6 days before the completion of the work. In how many days was the work completed?

Question 10:

A factory requires 42 machines to produce a certain number of articles in 63 days. It is proposed to produce the same number of articles in 54 days, using x machines. The value of 3x is: