CAT Quantitative Ability Questions | CAT Functions questions
CAT/1998
Question . 65
The following operations are defined for real numbers a # b = a + b if a and b both are positive else a # b = 1. a ∇ b = (ab)a+b if ab is positive else a ∇ b = 1.
((X # – Y)/(– X ∇ Y)) = 3/8, then which of the following must be true?
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Explanatory Answer
Method of solving this CAT Quantitative Ability Question from Functions question
(b) Equating with a # b = a + b :
Option (a) : b = –Y = –1
Operation fails for –ve value of b.
Option (b) : b = –Y > 0 at Y < 0
a = X > 0
