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The following conjectures were made by students. Are they true or false? Give a counterexample if possible.

Only half of the nonzero even numbers up to 100 are divisible by 4.
My answer is that it is true.

A number is divisible by 8 if it is divisible by 4 and divisible by 2.
My answer is that it is true.

Am I right?

  • math -

    The first is right.

    For the second, how about 4, 12, 20...?

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