RPH Editorial Board Solutions for Exercise 1: MULTIPLE CHOICE QUESTIONS

If $5$ men or $9$ women can finish a piece of work in $19$ days, $3$ men and $6$ women will do the same work in:

$A$ can do a piece of work in $12$ days. $B$ is $60\%$ more efficient than $A$. The number of days, it takes $B$ to do the same piece of work, is:

$\mathrm{A}$ and $\mathrm{B}$ can do a piece of work in $45$ and $40$ days respectively. They began the work together, but $\mathrm{A}$ leaves after some days and $\mathrm{B}$ finished the remaining work in $23$ days. After how many days did $\mathrm{A}$ leave? 

$12$ men can complete a work within $9$ days. After $3$ days they started the work, $6$ men joined them to replace $2$ men. How many days will they take to complete the remaining work?

$10$ men can finish a, piece of work in $10$ days whereas it takes $12$ women to finish it in $10$ days. If $15$ men and $6$ women undertake to complete the work, how many days will they take to complete it?

$A$ can do a piece of work in $80$ days. He works at it for $10$ days and then $B$ alone finishes the work in $42$ days. The two together could complete the work in?

$A$ and $B$ can together finish a work in $30$ days. They worked for it for $20$ days and then $B$ left. The remaining work was done by $A$ alone in $20$ more days. $A$ alone can finish the work in:

A can complete a job in $9$ days, B in $10$ days and C in $15$ days. B and C start the work and are forced to leave after $2$ days. The time taken by A alone to complete the remaining work is: