CMAT 2014 Solved Question Paper

(b) Colonel + Major = $\frac{8}{17}$
Major + General = $\frac{12}{17}$
(Colonel + Major + Major + General) - (Colonel + Major+ General) = Major
∴ $\left(\frac{8}{17}+\frac{12}{17}\right)$+ 1 = Major
∴ Work done by Major = $\frac{3}{17}$
∴ Colonel = $\frac{8}{17}-\frac{3}{17}=\frac{5}{17}$
and General = $\frac{12}{17}-\frac{3}{17}=\frac{9}{17}$
∴ Ratio of amount of Colonel : Major : General =5 : 3 : 9
So, Major is least efficient.
∴ Amount received by Major = $\frac{3}{17}$ x 816 = ₹ 144