CAT Exam Model Paper 1 with solutions for free online practice

(c) P$_{1}$ and P$_{2}$ can fill the tank in $\frac{24}{5}$ h [∵in 1 h these fill $\left(\frac{1}{8}+\frac{1}{12}\right)$part of tank]]∴It takes $\frac{12}{5}$ h in filling half the tank For remaining half of the tanks P$_{3}$ will open and this will take 6 h∴Supervisor has gone out for $\left(\frac{12}{5}+6\right)$ hNow, $\frac{1}{3}$rd tank will be filled in $\frac{8}{5}$h∴In remaining $\frac{34}{5}$h only $\frac{17}{30}$th part of tank will fill. ∴Emptied part of tank = $1-\left(\frac{1}{3}+\frac{17}{30}\right)=\frac{1}{10}$ which is 10% of tank.