CAT 1991 — QA Question 29
Basics (Functions)Easy
Passage / Data
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.
Let Y = minimum of {(x + 2), (3 – x)}. What is the maximum value of Y for 0 ≤ x ≤ 1?
Answer & solution
- A
1.0
- B
1.5
- C
3.1
2.5
Solution
For Y to be maximum,
x + 2 = 3 - x
∴ x = 0.5
Maximum value of Y = x + 2 = 2.5
Hence, option (d).