IIM-K (BMSAT) 2025 (QA) PYQs

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

A 30 meter deep well, with a diameter of 7 meters is dug and the earth from digging is evenly spread out to form a platform of size 22 meters by 14 meters. The height of the platform is:

Three cubes with integer edge lengths are given. It is known that the sum of their surface areas is $564 \ \text{cm}^2$. Then the possible values of the sum of their volumes are