# Which number is a counterexample to the following statement? All numbers that are divisible by 2 are divisible by 4. A. 0 B. 12 C. 28 D. 42

1 answer

###### Question:

Which number is a counterexample to the following statement? All numbers that are divisible by 2 are divisible by 4.

A. 0

B. 12

C. 28

D. 42

A. 0

B. 12

C. 28

D. 42

## Answers

Using divisibility concepts, a counterexample to the statement is given by option the number 42, option D.-------------If the remainder of the division of A by B is 0, it is said that A is divisible by B.-------------In option A, 0 is divisible by both 2(0/2 = 0) and 4(0/4 = 0), so it is not a counterexample.In option B, 12 is divisible by both 2(12/2 = 6) and 4(12/4 = 3), so it is not a counterexample.In option C, 28 is divisible both by 2(28/2 = 14) and 4(14/2 = 7), so it is not a counterexample.In option D, 42 divided by 4 is 10 with a remainder of 2, thus 42 is not divisible by 4, being a counterexample to the statement.A similar problem is given at https://brainly.com/question/24354438

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