CAT 1999 — QA Question 49
Directions: Each question is followed by two statements I and II. Mark:
1. if the question can be answered by any one of the statements alone, but cannot be answered by using the other statement alone.
2. if the question can be answered by using either statement alone.
3. if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
4. if the question cannot be answered even by using both the statements together.
A small storage tank is spherical in shape. What is the storage volume of the tank?
I. The wall thickness of the tank is 1 cm.
II. When an empty spherical tank is immersed in a large tank filled with water, 20 l of water overflow from the large tank.
Answer & solution
Correct answer: 3
- A
1
- B
2
3
- D
4
Statement I gives the thickness of the wall which is of no use to find the volume of the tank since we do not know the radius of the sphere.
Statement II gives us the answer as the volume of water displaced is equal to the volume of the immersed tank (from Archimedes’ principle)
So to find the exact storage volume of the tank both the statements are needed.