The function $f : N \to N$ defined by $f(x) = x - 5[\frac{x}{5}]$,where $N$ is the set of natural numbers and $[x]$ denotes the greatest integer less than or equal to $x$,is
- Aone-one and onto.
- Bone-one but not onto.
- Conto but not one-one.
- Dneither one-one nor onto.
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Similar Questions
If $A = \{x \mid x \in N, x \leq 5\}$ and $B = \{x \mid x \in Z, x^{2} - 5x + 6 = 0\}$,then the number of onto functions from $A$ to $B$ is:
MediumKCET 2019
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DifficultJEE MAIN 2014
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