If 144/x is an integer and 100/x is an integer, which of the following must be true?
I. 9/x is an integer
II. 12/x is an integer
III. 36/x is an integer
Select:
A) I only B) III only C) I and II only D) II and III only E) I, II and III
I think, here we should use the greatest common factor.   The greatest common factor for 144 and 108 is 36.   So 36/x is an integer.   For the rest of the answers, if x is 36 then 9/x and 12/x leads to fractions.   Ans is II and III only.
<result>D</result>
If 144/x is an integer and 100/x is an integer, which of the following must be true?
I. 9/x is an integer
II. 12/x is an integer
III. 36/x is an integer