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?

1 answer

The first is right.

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