This is another question from Data Sufficiency.

•   Question – Is x an integer

•   Statement 1 – x/3 is not an integer.

o  Suppose we take x = 4 (integer), then x/3 = 4/3 is not an integer.

o  But if we take x = 2/3 (not integer) then also x/3 = 2/9 is not an integer.

o  So, by using information provided in this statement we cannot say whether x is integer or not. Thus statement 1 alone is not sufficient.

•   Statement 2 – 3x is an integer.

o  If we take x = 4 (integer) then 3x = 12 is an integer. But if we take x = 1/3, then also 3x is an integer.

o  Thus, by using information provided in this statement alone we cannot say whether x is integer or not.

•   Combining both statement:

o  If we take x = 4 (integer) then x/3 is not integer and 3x = 12 is an integer. And if we take x = 1/3, then also x/3 is not an integer and 3x is an integer.

•   Thus, even combining both of the statements we can not say that whether x is an integer or not.