If 120/x is an integer and 108/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  Options.
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.   I onlyns is I only.
<result>A</result>
If 120/x is an integer and 108/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