CAT Exam 2021 Slot 1 Solved Paper

Let the total work be 48 units. Let Amar do $\prime \mathit{m}\prime$ work, Akbar do $\prime \mathit{k}\prime$ work, and Anthony do $\prime \mathit{n}\prime$ units of work in a month.
Amar and Akbar complete the project in 12 months. Hence, in a month they do $\frac{48}{12}=4$units of work.
$\mathit{m}+\mathit{k}=4$
Similarly, $\mathit{k}+\mathit{n}=3$, and $\mathit{m}+\mathit{n}=2$
Solving the three equations, we get $\mathrm{m}=\frac{3}{2},\mathrm{k}=\frac{5}{2},\mathrm{n}=\frac{1}{2.}$
Here, Amar works neither the fastest not the slowest, and he does $1.5\mathrm{units}$ of work in a month.
Hence, to complete the work, he would take $\frac{48}{1.5}=32\mathrm{months}$