Respuesta :

Considering concepts of divisibility, the amount of numbers in the set that are divisible by 2 but not by 10 is:

(C) 19.

What are the rules for division by 2 and by 10?

  • Numbers that finish in 0, 2, 4, 6, and 8 are divisible by 2, that is, even numbers are divisible by 2.
  • Numbers that finish in 0 are divisible by 10. Hence, every number that is divisible by 10 is also divisible by 2.

The data-set has (55 - 10) + 1 = 46 numbers, hence 23 are divisible by 2. 20, 30, 40 and 50 are also divisible by 10, that is, 4 numbers have to be removed, hence the amount is:

23 - 4 = 19.

Which means that option C is correct.

More can be learned about divisibility at https://brainly.com/question/9462805

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