rakeshd347 wrote:Is the product of all of the elements in Set S negative?
(1) All of the elements in Set S are negative.
(2) There are 5 negative numbers in Set S.
Statement 1:
Case 1: S = {-2, -1}
Here, the product = (-2)(-1) = 2, which is POSITIVE.
Case 2: S = {-3, -2, -1}
Here, the product = (-3)(-2)(-1) = -6, which is NEGATIVE.
INSUFFICIENT.
Statement 2:
Case 1: S = {-5, -4, -3, -2, -1}
Here, the product = (-5)(-4)(-3)(-2)(-1) = -120, which is NEGATIVE.
Case 2: S = {-5, -4, -3, -2, -1, 0}
Here, the product = (-5)(-4)(-3)(-2)(-1)(0) = 0, which is NONNEGATIVE.
INSUFFICIENT.
Statements combined:
Here, the ONLY elements in Set S are 5 negative numbers.
Thus, the product = (-)(-)(-)(-)(-) = NEGATIVE.
SUFFICIENT.
The correct answer is
C.
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