First tackled Statement 1 since it indicates product, so can utilize number properties of products/multiplication of negative/positive numbers.
If the product of all of the numbers is -1,200, then then only sets of - * + = - since according to number properties/theory + * + = + and - * - = +, and only - * + (or + * -) = -
However just knowing the product of the numbers does not tell you anything about the number of numbers within the set.
Statement 1 Insufficient by itself.
Statement 2 indicates there are 6 numbers in set S. Insufficient by itself because no information on the value of the numbers or total sum of set S.
Then trying to take Statement 1 and Statement 2 together, still insufficient because although we know the product of all 6 numbers in set S is -1,200, that could mean that a single number of the set is negative while all the rest are positive, or that an odd number like 5 of the set are negatives and one positive. Information is insufficient to determine if there are more negative or positive numbers in the set.
metallicafan wrote:
S is a finite set of numbers. Does S contain more negative numbers than positive numbers?
(1) The product of all the numbers in S is -1,200.
(2) There are 6 numbers in S.