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S is a finite set of numbers. Does S contain more negative

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Manager
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S is a finite set of numbers. Does S contain more negative [#permalink] New post 21 Sep 2007, 20:09
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
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Re: Data Sufficiency: GMAT Prep [#permalink] New post 21 Sep 2007, 20:20
Hang Tuah 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


this should be E.

from 1) there are max of 8 factors of 1200. so we can 5 negatives 3 positives or 5 positives and three negatives. not suff

from 2) again there can be any number of positives or negatives

from 1 and 2, there can be 5 positives 1 negative or vice versa.

so E
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Re: Data Sufficiency: GMAT Prep [#permalink] New post 21 Sep 2007, 22:49
Hang Tuah 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


Starting with the easier statement first:
S2
there are 6 #'s in set S: Well all these numbers could be positive or all negative, etc... no help here.

S1:
The product is -1200. Well the prime factorization of -1200 is:
2,2,2,2,3,5,5. so it could be just one negative or all negative since an odd number of negatives multiplied by eachother yields a negative #. So insuff.

S1 and S2: so 6 numbers and product of these six numbers is -1200.

ok so change the prime factorization to : 4,2,2,3,5,5. We can see here that again there could be 5 negatives or 1 negative b/c this will still yeild -1200.

Insuff.

Ans is E.
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 [#permalink] New post 27 Sep 2007, 06:59
Too late but still E
  [#permalink] 27 Sep 2007, 06:59
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