If A is the average (arithmetic mean) of 3 consecutive negative integers, which of the following must be true?
I. A is a negative integer.
II. A is a nonzero integer.
III. A is a multiple of 3.	Choose the most appropriate option
A) I only	B) II only	C) III Only	D) I and III only	E) I and II only
Consider any negative integer , a   we can form a series as a , a-1 , a-2   Arithmetic Mean = a+(a-1)+(a-2)/3 = a-1   So,   I) is always true, since 'a' is a negative integer   II) is always true, even if 0 is in the series. i.e. 0, -1, -2   III) not always true, a can be any integer as we considered, not necessarily multiple of 3   Ans - I and II only
<result>E</result>
If A is the average (arithmetic mean) of 3 consecutive negative integers, which of the following must be true?
I. A is a negative integer.
II. A is a nonzero integer.
III. A is a multiple of 3.