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by rakeshd347 » Fri Oct 04, 2013 11:30 pm
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.

OA soon.
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Source: — Data Sufficiency |
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by theCodeToGMAT » Fri Oct 04, 2013 11:37 pm
TO find --> Product Negative.
# Even number of -ve numbers or
# is "0" present in set

Statement 1:
All elements negative doesn't tell us whether -ve are in "even" number
INSUFFICIENT

Statement 2:
5 negative Number doesn't clear out the ambiguousy of "0"
INSUFFICIENT

Combining..
there is no ZERO.
SUFFICIENT

Is the Answer {C}???
R A H U L
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by vinay1983 » Sat Oct 05, 2013 1:18 am
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.

OA soon.
This has to be C
You can, for example never foretell what any one man will do, but you can say with precision what an average number will be up to!
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by GMATGuruNY » Sat Oct 05, 2013 3:57 am
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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