MH SET Exam 28 Jan 2018 Paper

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Question : 25 of 60

Marks: +1, -0

Let f be a mapping from X = {1, 2, 3, ....., 50} to itself such that for m, n ϵ X, m ≤ n implies that f(m) ≤ f(n). Then which of the following is true?

There is m ϵ X such that f(m) = m
For every m ϵ X, we may have f(m) = m - 1
For every m ϵ X, we may have f(m) = m + 1
For every even m ϵ X, we must have f(m) = 1/2 m

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