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JEE Math Practice Question

The function f : N $$ \to $$ N defined by f (x) = x $$-$$ 5 $$\left[ {{x \over 5}} \right],$$ Where N is the set of natural numbers and [x] denotes the greatest integer less than or equal to x, is :

  1. A.one-one and onto
  2. B.one-one but not onto.
  3. C.onto but not one-one.
  4. D.neither one-one nor onto.

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