Question

Let $f: \{1,2,3,4,5\} \rightarrow \{1,2,3,4,5\}$ is such that $f(x)$ is a one-one function satisfying following condition $f(x) = x + 1$ if and only if $x$ is even (i.e. $f(3) \neq 4, f(4) = 5$ etc). Then $f^{-1}(2)$ can be-

• A. 1
• B. 3
• C. 5
• D. 2

Answer 1

Answer: (A)

1

Answer 2

Since f(x) = x + 1 if and only if x is even, f(1) cannot be 2.