CAT 1994 — QA Question 6
Answer the next 3 questions based on the information given below:
Ghoshbabu is staying at Ghosh Housing Society, Aghosh Colony, Dighospur, Calcutta. In Ghosh Housing Society 6 persons read daily Ganashakti and 4 read Anand Bazar Patrika; in his colony there is no person who reads both. Total number of persons who read these two newspapers in Aghosh Colony and Dighospur is 52 and 200 respectively. Number of persons who read Ganashakti in Aghosh Colony and Dighospur is 33 and 121 respectively; while the persons who read Anand Bazar Patrika in Aghosh Colony and Dighospur are 32 and 117 respectively.
A right circular cone, a right circular cylinder and a hemisphere, all have the same radius, and the heights of the cone and cylinder equal to their diameters. Then their volumes are proportional, respectively to
Answer & solution
1 : 3 : 1
- B
2 : 1 : 3
- C
3 : 2 : 1
- D
1 : 2 : 3
If the diameters and the heights of a cone and a cylinder are same, then the volume of cone is always 1/3rd the volume of the cylinder.
So the ratio of the volume of cone to the volume of cylinder = 1 : 3.
The only answer choice that supports this is (a).