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KVPY2017MathematicsSets and Relations

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.

Options

  1. AK is infinite
  2. BK is finite but K>100
  3. C25 K 100
  4. DK < 25

Correct answer

D. K < 25

Step-by-step solution

array l Such numbers are =9 from 11 to 19 array 4 i.e. (22,24,26,28) 3 i.e. (33,36,39) 2 i.e. (44,48) 5 i.e. (55,66,77,88,99) 23

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