JIPMAT 2022 (QA) PYQs

Given below are two statements:

Statement (I):

4 boys and 8 girls completed 1/3 of work in 5 days. After that 3 boys and 3 girls increased, and they completed another 1/3 of work in 3 days. If the remaining work is to be completed in 2 days, then the number of girls that should be increased is 32.

Statement (II):

The ratio of time taken by A and C to do a work is 1:2 respectively. B is 166 (2/3)% more efficient than C. Time taken by A to complete 6% of work is 6 days.

Then, the time taken by B and C together to complete the whole work is 54 (6/11) days.

In light of the above statements, choose the most appropriate answer from the options given below.

40 men can complete a work in 48 days. 64 men started and did the same work for $x$ days. After $x$ days, 32 men increased, so, the remaining work is completed in $16\frac{2}{3}$ days, then the value of $x$ is

A is $40 \%$ less efficient than $B$ who can do the same work in $20 \%$ less time than $C$. If $A$ and B together can complete $80 \%$ work in 12 days, then in how many days $60 \%$ work can be completed by $\mathrm{B}$ and $\mathrm{C}$ together ?