UP POLICE MATHS QUIZ

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Question 1:

A and B can finish a work in 12 days and 15 days respectively . They started working together .But after 2 days A had to leave the work and B alone completed the remaining work . In how many days did the work complete ?

Question 2:

A and B together can complete a piece of work in 16 days. They worked together for 7 days and then A alone finished the remaining work in 21 days. B alone can complete the work in ___ days.

Question 3:

20 Person can complete a work in $25 \frac{1}{2}$ days. They started the work then 5 persons left the work after $x$ days. If the whole work was completed in 30 days, then what is the value of $x$ ?

Question 4:

Three pipes A, B and C can fill a cistern in 8 hours, 12 hours and 16 hours respectively. First A was opened. After $3 \frac{1}{2}$ hours, B was opened and after 5 hours from the start of A, C was also opened. Find the time (in hours) in which the cistern is just full.

Question 5:

Raman and Mani together can complete a task in 12 days Raman alone can complete the same task in 20 days. How many days will Mani alone take to complete the same task?

Question 6:

A can do $\frac{2}{5}$ of a work in 6 days and B can do $30 \%$ of the same work in 3 days. They worked together for 4 days. The remaining work was completed by $\mathrm{C}$ alone in 6 days. B and $\mathrm{C}$ together can complete $70 \%$ of the original work in :

Question 7:

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 8:

$A$ and $B$ can do a piece of work in 72 days, $B$ and C in 120 days and $A$ and $C$ in 90 days. In what time can $A$ alone do it?

Question 9:

A, B and C can do a work separately in 18, 36 and 54 days, respectively. They started the work together, but B and C left 5 days and 10 days before the completion of the work, respectively. In how many days was the work finished?

Question 10:

Ehsaan is twice as good a worker as Kamal and together they finish a piece of work in 29 days. In how many days will Kamal, working alone, finish the work?