IIM-K (BMSAT) 2025 (QA) PYQs

Water flows at the rate of $5$ km/hr through a pipe of diameter $14$ cm into a rectangular tank that is $50$ m long and $44$ m wide. Determine the time in which the level of the water in the tank will rise by $7$ cm.

(Assume $\pi = 22/7$)

Two solid spheres made of the same metal have weights of 5920 gm and 740 gm. If the diameter of the smaller sphere is 5 cm, then the radius of the larger sphere will be