CAT 1998 — DILR Question 42
Operator Based QuestionsEasy
Passage / Data
Direction: Answer the question based on the following information.
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 = (a × b)a + b if a × b is positive else a ∇ b = 1.
Answer & solution
- A
1/8
- B
1
3/8
- D
3
Solution
Since both 2 and 1 are positive, (2 # 1) = 2 + 1 = 3.
(1∇2)= (1× 2)1+2 = 23 = 8.
Thus, the given expression is equal to