Previous Year Paper
CAT-2007-Previous Years Paper
ABC Corporation is required to maintain at least 400 Kilolitres of water at all times in its factory, in order to meet safety and regulatory requirements. ABC is considering the suitability of a spherical tank with uniform wall thickness for the purpose. The outer diameter of the tank is 10 meters. Is the tank capacity adequate to meet ABC’s requirements?
A: The inner diameter of the tank is at least 8 meters.
B: The tank weighs, 30,000 kg when empty, and is made of a material with density of 3 gm/cc.
|A||If the question can be answered using A alone but not using B alone.|
|B||If the question can be answered using B alone but not using A alone.|
|C||If the question can be answered using A and B together, but not using either A or B alone.|
|D||If the question cannot be answered even using A and B together.|
Using statement A:
For minimum diameter i.e., 8 m, the capacity of the tank = 268.19 < 400
For diameter greater than 8m, for example radius = 4.95 m, capacity of the tank = 508.25.71 > 400
Hence, statement A alone cannot be used to answer the question.
Using statement B:
Volume of material used = = V (say), which is given
Therefore Outer volume – Inner Volume = V
Therefore, we can find the inner volume and question can be answered.