If m is an integer, which of the following could be true?

I. 17/m is an even integer.
II. m/17 is an even integer.
III. 17m is a prime number.

I only
II only
III only
I and II only
II and III only

Question

If m is an integer, which of the following could be true? 

I. 17/m is an even integer. 
II. m/17 is an even integer. 
III. 17m is a prime number.

 I only 
 II only 
 III only 
 I and II only 
 II and III only

debbieg · Answer

Can you think of an integer value for m such that 1, 2 or 3 is true? If so, then that proves that those COULD be true.

debbieg · Answer

What about 1? Is there any integer m such that 17/m can be even?

What kind of number is even? It has to have a factor of 2, right? So, can 17/m ever have a factor of 2, if m is an integer?