1) A contractor undertook to do a certain piece of work in 9 days. He employed certain number of men, but 6 of them being absent from the very first day, the rest could finish the work in 15 days. The number of men originally employed were : A) 12 B) 18 C) 15 D) 23 Answer: Option CExplanation:Let there be $x$ men at the beginning. Less men, More days (Indirect Proportion) $15:9::x:(x-6)$ $\Leftrightarrow 15(x-6)=9x$ $\Leftrightarrow 6x=90$ $\Leftrightarrow x=15$