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How many values of the natural number $n$ are possible so that the expression $(16n^{2}+7n+6)/n$ is also a natural number?

  1. Infinitely many
  2. $3$
  3. $4$
  4. None of these
  5. d & c
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The expression can be written as 16n + 7 + 6/n. For this expression to be a natutal number, 6/n must be a natural number.

6/n can be a natural number if value of n is either 1, 2, 3, 6

Hence, we have 4 possible values of n. So, the answer would be option C
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