CAT 1991 — QA Question 25
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.
How many schools had none of the three viz., laboratory, library or play – ground?
Answer & solution
- A
20
- B
5
- C
30
35
It is given that x + 2x + x/2 = 35.
Hence x = 10.
Total number of schools that had at least one of the three = 30 + 10 + 20 + 5 = 65.
Hence the number of schools having none of them = 100 – 65 = 35.
Hence, option (d).