CAT 1993 — QA Question 46
Directions for next 3 questions:
Q started to move from point B towards point A exactly an hour after P started from A in the opposite direction. Q’s speed was twice that of P. When P had covered one-sixth of the distance between the points A and B, Q had also covered the same distance.
The diameter of a hollow cone is equal to the diameter of a spherical ball. If the ball is placed at the base of the cone, what portion of the ball will be outside the cone?
Answer & solution
- A
50%
- B
less than 50%
more than 50%
- D
100%
It can be seen that if a spherical ball is placed inside a hollow cone of same diameter, the ball won’t go up to the diameter. In other words, because of the slanting edges of the cone, only less than 50% of the ball would enter the cone. i.e, more than 50% of the ball would be outside the cone.

Hence, option (c).