Management Aptitude Test Dec 2013 Paper

c) Here, 15 men = 24 women = 36 boys
∴ 12 women = $\frac{15}{2}$ men
and 6 boys = $\frac{15}{6}$ men
12 women + 6 boys
= $\left(\frac{15}{2}+\frac{15}{6}\right)$ men
= $\left(\frac{45+15}{6}\right)$ men
= 10 men
∵ 1 work, working 8 h per day is completed in 12 days by 15 men.
∴ $2\frac{1}{4}=\frac{9}{4}$ work, working 6 h per day, to be completed
in 30 days will be completed by $\frac{9}{4}\times \frac{8}{6}\times \frac{12}{30}\times 15$ = 18 men
∴ Number of extra men required = 18 - 10 = 8 men