S1) 2,4,6 Y IS MEAN BUT X,Y,Z ARE NOT CONSECUTIVE
1,2,3 Y IS MEAN AND X,Y,Z ARE CONSECUTIVE
INSUFF
S2) INSUFF

Rahul, i think the mistake you may be making is that you are consider something like 1,3,5 to be consecutive integers when they are not... silly mistake, which I have made on occassion. If not, then here is the explanation to help you out:

are integers x, y and z consecutive?

1) y equals the arithmetic mean of x and z

2,4,6 -> 4=(2+6)/2 --> not consecutive

1,2,3 -> 2(1+3)/2 --> consecutive

Therefore, since we both yes & no, the statement by itself is insufficient -> Choices A & D are eliminated

2) x = -z

we have nothing about y, so by itself the statement is insufficient -> B is eliminated

combining 1 & 2 ->
-1,0,1 -> 0= (-1+1)/2 && -1 = -(1) -->consecutive
-2,0,2 -> 0= (-2+2)/2 && -2=(-2) --> not consecutive
Therefore the two statements combined are also insufficient, and thus E is the correct answer.

again, my bad.

just not my day.

rahul.s wrote:again, my bad.

just not my day.

cheer up mate. Better you make mistakes now than on test day, eh?

sars72 wrote:

rahul.s wrote:again, my bad.

just not my day.

cheer up mate. Better you make mistakes now than on test day, eh?

haha. true.