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A certain list consists of several different integers. Is

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A certain list consists of several different integers. Is [#permalink]

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New post 12 Aug 2008, 11:03
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A certain list consists of several different integers. Is the product of all the integers in the list positive?

1. The product of the greatest and the smallest of the integers in the list is positive.
2. There is an even number of integers in the list

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Re: DS: Integers [#permalink]

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New post 12 Aug 2008, 11:13
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#1. If you have 3 integers, but they're all negative, then you'll have a negative product, and the product of the largest and smallest would be positive be cause Neg * Neg = Pos. If you have 3 integers but they're all positive the product of all will be Positive. Insufficient because you can have it two ways and the question is "Is the product of all the integers in the list [ALWAYS] positive?" With ALWAYS implied. INSUFFICIENT

#2 Insufficient. If you have an even number of integers, say 4, you can have Pos * Pos * Pos * Neg = Neg. Having an even number doesn't do anything for you. INSUFFICIENT

TOGETHER. If the product of smallest and largest is positive, then they must be the same sign. And because #2 says there is an even number of integers, it rules out the chance of all being negative, but an odd number of them. TOGETHER = SUFFICIENT = Answer C

mba9now wrote:
A certain list consists of several different integers. Is the product of all the integers in the list positive?

1. The product of the greatest and the smallest of the integers in the list is positive.
2. There is an even number of integers in the list

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J Allen Morris
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Kudos [?]: 623 [1], given: 32

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Re: DS: Integers [#permalink]

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New post 12 Aug 2008, 11:18
a little lost ...


How does having even number of integers rules out that all are neg?

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Re: DS: Integers [#permalink]

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New post 12 Aug 2008, 11:31
i'm not entirely clear what you're asking. It doesn't rule out that they are all negative, it just makes it that it doesn't matter.

Lets say you have 4 numbers.

-1, -2, -3 , -4. The product of these is 24. -1 * -2 = +2 and -3 * -4 = +12. +2 * +12 = 24.
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GMAT Club Premium Membership - big benefits and savings

Kudos [?]: 623 [0], given: 32

Re: DS: Integers   [#permalink] 12 Aug 2008, 11:31
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