VJesus12 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.
[spoiler]OA=E[/spoiler]
Source: GMAT Prep
We have to determine whether set S contains more negative numbers than positive numbers.
Let's take each statement one by one.
(1) The product of all the numbers in S is -1,200.
Case 1: Say Set S has 2 numbers; they are -1200 and 1. The answer is No.
Case 2: Say Set S has 4 numbers; they are -1200, -1, -1 and 1. The answer is Yes.
No unique answer. Insufficient.
(2) There are 6 numbers in S.
Case 1: Say the 6 numbers are -1200, -1, -1, -1, -1 and 1. The answer is Yes.
Case 2: Say the 6 numbers are -1200, 1, 1, 1, 1 and 1. The answer is Yes.
No unique answer. Insufficient.
(1) and (2) together
Both the cases discussed in Statement 2 are applicable here, too. Insufficient.
The correct answer:
E
Hope this helps!
-Jay
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