CAT 1991 — QA Question 38
Answer the following questions based on the information given below:
There were a hundred schools in a town. Of these, the number of schools having a play – ground was 30, and these schools had neither a library nor a laboratory. The number of schools having a laboratory alone was twice the number of those having a library only. The number of schools having a laboratory as well as a library was one fourth the number of those having a laboratory alone. The number of schools having either a laboratory or a library or both was 35.
A one rupee coin is placed on a table. The maximum number of similar one rupee coins which can be placed on the table, around it, with each one of them touching it and only two others is
Answer & solution
- A
8
6
- C
10
- D
4
It can be seen that if we place 3 coins touching each other, their centers form an equilateral triangle.
Hence the angle made by the centers of the coins around the central coin is 60°.
Since the total angle to be covered is 360°, there has to be 6 coins surrounding the central coin.

Hence, option (b).