CAT 1995 — QA Question 40
Basics (Functions)Easy
Passage / Data
Directions for next 4 questions: Answer the questions based on the following information.
le(x, y) = Least of (x, y)
mo(x) = |x|
me(x, y) = Maximum of (x, y)
For what values of ‘a’ is le(a2 – 3a, a – 3) < 0?
Answer & solution
- A
a > 3
- B
0 < a < 3
- C
a < 0
Both b and c
Solution
We can work this on the above lines. E.g.
(a) a > 3. Let a = 4. So le(a2 – 3a, a – 3) = le(4, 1) = 1 > 0.
(b) 0 < a < 3. Let a = 2. So le(a2 – 3a, a – 3) = le(–2, –1) = –2 < 0.
(c) a < 0. Let a = –1. So le(a2 – 3a, a – 3) = le(4, –4) = –4 < 0.