Function

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(CAT 1995)

le(x, y) = Least of (x, y)
mo(x) = |x|
me(x, y) = Maximum of (x, y)

1. Find the value of me(a + mo(le(a, b)); mo(a + me(mo(a), mo(b))), at a = –2 and b = –3.
a. 1
b. 0
c. 5
d. 3

2. Which of the following must always be correct for a, b > 0?
a. mo(le(a, b)) ≥ (me(mo(a), mo(b))
b. mo(le(a, b)) > (me(mo(a), mo(b))
c. mo(le(a, b)) < (le(mo(a), mo(b))
d. mo(le(a,b)) = le(mo(a), mo(b))

3. For what values of ‘a’ is me(a^2 – 3a, a – 3) < 0?
a. a > 3
b. 0 < a < 3
c. a < 0
d. a = 3

4. For what values of ‘a’ is le(a^2 – 3a, a – 3) < 0?
a. a > 3
b. 0 < a < 3
c. a < 0
d. Both b and c

For Answers click here.

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