Explanation
Statement (1)
We know that the greatest integer is 5. Therefore, the eight integers whose product is to be calculated are {–2,–1,0,1,2,3,4,5}. The product will be 0. This statement alone is sufficient.
The correct answer must either be A or D.
Statement (2)
We know the set contains both negative and positive integers and the integers are consecutive. For such a condition to be true, 0 will be a part of the set, and therefore the product of the integers will be 0. This statement alone is sufficient.
The correct choice is D.