If x/y is an integer, which of the following must also be an integer?

If x/y is an integer, which of the following must also be an integer? I. xy II. y/x III. x

Quiz

Answer/Solution

None of the above

Steps/Work

Let's take X = 4/3 and Y = 2/3
Then X/Y = 2 which is an integer.
But XY = 4/3 * 2/3 = 8/9 --> Not an integer.
Y/X = 2/3 divided by 4/3 = 2/4 = 1/2 Not an integer.
X alone is 4/3. Not an integer.
Hence E.
None of the above.