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If the product of 6 integers is negative, at most how many of the inte

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If the product of 6 integers is negative, at most how many of the inte [#permalink]

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New post 17 Dec 2014, 07:57
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1. If the product of 6 integers is negative, at most how many of the integers can be negative?

A. 2
B. 3
C. 4
D. 5
E. 6
[Reveal] Spoiler: OA

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Re: If the product of 6 integers is negative, at most how many of the inte [#permalink]

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New post 17 Dec 2014, 08:01
product of even number of -ve numbers is positive so it cant be 6 .
So ans D
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Re: If the product of 6 integers is negative, at most how many of the inte [#permalink]

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New post 20 Dec 2014, 20:20
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Hi All,

The Number Property that uday1409 is talking about can be proven by TESTing Values:

We're told that the product of 6 numbers is negative (the fact that they're integers is actually irrelevant). We're asked for the MAXIMUM number of those 6 that COULD be negative. We'll start with the largest and work our way down..

6 are negative: (-1)(-1)(-1)(-1)(-1)(-1) = + 1...which is NOT a negative product

5 are negative: (-1)(-1)(-1)(-1)(-1)(+1) = -1...which IS a negative product

Final Answer:
[Reveal] Spoiler:
D


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Re: If the product of 6 integers is negative, at most how many of the inte [#permalink]

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New post 20 Mar 2018, 10:52
uday1409 wrote:
1. If the product of 6 integers is negative, at most how many of the integers can be negative?

A. 2
B. 3
C. 4
D. 5
E. 6


Positive * Positive = Positive
Positive * Negative = Negative

Here in this question , if there are 5 negative numbers, result will be negative

Further Negative * Positive = Negative, so there can be maximum of 5 negative numbers, Answer must be (D)
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Re: If the product of 6 integers is negative, at most how many of the inte [#permalink]

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New post 21 Mar 2018, 16:09
uday1409 wrote:
1. If the product of 6 integers is negative, at most how many of the integers can be negative?

A. 2
B. 3
C. 4
D. 5
E. 6


The general rule is that, in order to have a negative product, we must have an odd number of negative factors. Since we have 6 total integers and a negative product, we can have 1, 3, or 5 negative integers. Thus, we can have at most 5 negative integers to yield a negative product.

Answer: D
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Re: If the product of 6 integers is negative, at most how many of the inte   [#permalink] 21 Mar 2018, 16:09
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