codesnooker wrote:Answer is (B).
Condition 1:
Product of five consecutive integer = 0.
-1 X 0 X 1 X 2 X 3 = 0 (The smallest integer is -ve ODD integer)
Therefore INSUFFICIENT.
Condition 2:
Sum of five consecutive integer = 0
-2 - 1 + 0 + 1 + 2 = 0 (none other than value can satisfy this condition). The smallest integer is -ve EVEN. Hence SUFFICIENT.
Therefore answer is (B)
J!
A comment on your answer for statement (1):
"The smallest integer is odd - therefore insufficient."
This fact alone does NOT make the statement insufficient.
A statement is sufficient on a yes/no question if it gives a definite answer. A definite "yes" is suffcient, a definite "no" is also sufficient.
A statement is insufficient on a yes/no question if it can give both a yes and a no answer.
The reason why statement (1) is insufficient is that we can also pick the set {-2, -1, 0, 1, 2}. Is -2 even? YES.
So, since we can get both a "yes" and a "no" answer, (1) is insufficient.