( 2 ≠ 1 ) ( 1 ∇ 2 ) =

3/8 — 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 3 8 .

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.

$\frac{(2 \neq 1)}{(1 \nabla 2)} =$

Answer & solution

Correct answer: 3/8

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 $\frac{3}{8} .$

CAT 1998 — DILR Question 42

Answer & solution

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