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Mathematics 21 Online
OpenStudy (xximhisgirlxx):

What is a counterexample for the conjecture? Conjecture: Any number that is divisible by 4 is also divisible by 8. 24 40 12 26

OpenStudy (mathstudent55):

Find a number in the choices that is divisible by 4 but not by 8.

OpenStudy (xximhisgirlxx):

12?

OpenStudy (mathstudent55):

Correct.

OpenStudy (xximhisgirlxx):

so thats the answer?

OpenStudy (mathstudent55):

Notice that 26 would not work because even though it is not divisible by 8, it is also not divisible by 4. 24 and 40 don't work because they are divisible by both 4 and 8.

OpenStudy (mathstudent55):

Yes. The answer is 12.

OpenStudy (mathstudent55):

It is the only number of the 4 choices that is divisible by 4 but not by 8.

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