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IAT IISER2018MathematicsBasics of Mathematics

How many functions (f: N N ) satisfy ( lcm (f(n), n)- hcf (f(n), n) 5 ? ) Here '1cm' denotes the least common multiple and 'hcf' denotes the highest common factor.

Options

  1. A0
  2. B1
  3. CInfinitely many
  4. DMore than one but finitely many

Correct answer

D. More than one but finitely many

Step-by-step solution

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