If 12/x is an integer and 3/x is an integer, which of the following must be true?

If 12/x is an integer and 3/x is an integer, which of the following must be true? I. 6/x is an integer II. 18/x is an integer III. 3/x is an integer

Quiz

Answer/Solution

III only

Steps/Work

The question asks which of the following MUST be true, not COULD be true. The largest possible value of x is 3, GCD of 12 and 3, and if x=3 then ONLY III is true.
Answer: C