Sets, Relations and Functions - Arithmetic Aptitude Questions and Answers

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Let Z denote the set of all integers. Define f : Z —> Z by f(x) = {x / 2 (x is even) 0 (x is odd) then f is

one-one and onto

one-one but not onto

onto but not one-one

neither one-one nor-onto

Answer : Option C

Explanation :

onto but not one-one

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