Question of the Day - 26th August, 2009

I think the answer has to be A.
stmnt 1:
avg of x,y,y-2 is x
=> x+2y-2=3x
=> 2y-2=2x
=> x=y-1
=> y=x+1
=> y is an integer as we know that x is an integer
sufficient
stmnt 2:
avg of x and y is not an integer:
=> x+y/2 is not an integer.
y could be anything from an integer to a non-integer
because let's say x=5 and y=6, then the average of these two would give 5.5, which is not an integer, and also if x=4 and y=6.2, we get a non-integer avg value.
Thus insufficient.
OA "A"

IMO A-

explanation - same as kbharadwaj.1987's