Consider the set A of natural numbers $n$ whose units digit is nonzero, such that if this units digit is erased, then the resulting number divides $n$. If $K$ is the number of elements in the set $A$, then.

• A

  K is infinite
• B

  $K$ is finite but $K>100$
• C

  $25 \leq \mathrm{K} \leq 100$
• Correct answer
  D

  $K < 25$

Hence, the correct answer is option: 'D'.