Posted by **m** on Sunday, October 10, 2010 at 6:16pm.

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?

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