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A certain list consists of several different integers

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

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New post 02 Jul 2018, 02:01
zz0vlb wrote:
A certain list consist of several different integers. Is the product of all integers in the list positive?

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



Here is my reasoning of the question:

Statement 1. (1) The product of the greatest and smallest of the integers in the list is positive.

take numbers 1, -2, 3

now as per 1st --> 1 *3 = 3 (positive) but the product of all integers is -6. hence not sufficient.

Statement 2. (2) There is an even number of integers in the list.

take numbers -1, -2, -3, 4 (so we have even # of integers)

The product of these numbers can be negative (-1) *(-2)* (-3)* (4) = - 24 or can be positive (1) *(-2)* (-3)* (4 ) =24

As you see from second statement for the product of integers to be positive the product of the greatest and smallest of the integers must be positive (in other words (the smallest and greatest integers must be positive)


Hence combining two options together is sufficient.

Option C :-) YAY! :)
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Re: A certain list consists of several different integers  [#permalink]

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New post 27 Jul 2018, 10:01
I would disagree with the solution given, because

1) we do not know the sign of all the integers present, yes they're even but that doesn't mean that their end product will be positive.

I went through all the explanations given above, but sadly neither one made sense to me.

Please correct me if I am wrong.

I think the answer should be E.
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Re: A certain list consists of several different integers &nbs [#permalink] 27 Jul 2018, 10:01

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