CAT 1997 — QA Question 29
Basics (Functions)Easy
Passage / Data
Direction: Answer the questions based on the following information.
For these questions the following functions have been defined.
la(x, y, z) = min(x + y, y + z)
le(x, y, z) = max (x − y, y − z)
ma(x, y, z) = [le(x, y, z) + la(x, y, z)]
What is the value of ma(10, 4, le(la(10, 5, 3), 5, 3))?
Answer & solution
- A
7
6.5
- C
8
- D
7.5
Solution
ma(10, 4, le(la(10, 5, 3), 5, 3))
= ma(10,4, le(min(15,8),5,3))
= ma (10, 4, le (8, 5, 3))
= ma(10, 4, max (3,2))
= ma (10, 4, 3)
= [le(10, 4, 3) + la(10, 4, 3)]
= [max(6,1) + min(14, 7)]
= (6 + 7) = 6.5