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If w < x < y < z, is the product of four numbers negative?

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Joined: 02 Sep 2009
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If w < x < y < z, is the product of four numbers negative? [#permalink]

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New post 10 Jun 2018, 05:06
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A
B
C
D
E

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(N/A)

Question Stats:

71% (00:42) correct 29% (00:36) wrong based on 7 sessions

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Joined: 10 Jun 2018
Posts: 51
Location: Australia
Concentration: Technology, General Management
GPA: 3
WE: Science (Pharmaceuticals and Biotech)
Re: If w < x < y < z, is the product of four numbers negative? [#permalink]

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New post 10 Jun 2018, 05:19
(1) does not tell us anything. z is greater than 0, and the other three numbers could be smaller than 0. In which case the product of three negatives and one positive would be a negative number. However, y for example could also be greater than 0, in which case the product of two negatives and two positives would be a positive.

(2) however, tell us a lot. The product of w and x is less than 0, and thus one of those numbers must be negative, the other positive. Neither can be 0 because then the product can not be less than 0. Since w < x, x must be the positive number and w must be the negative number. Since y and z are both greater than x, both must be positive as well. The product of one negative and three positives is negative. Always. Thus (2) is sufficient.

Hence answer is B.
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Re: If w < x < y < z, is the product of four numbers negative?   [#permalink] 10 Jun 2018, 05:19
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If w < x < y < z, is the product of four numbers negative?

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