If the product of 6 integers is positive, at most how many of the integers can be negative?
A. 2
B. 3
C. 4
D. 5
E. 6
The OA is D.
I'm really confused with this PS question. Please, can any expert assist me with it? Thanks in advanced.
If the product of 6 integers is positive...
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Hello LUANDATO.
First, I think there is a mistake in the OA, because if we consider the set
$$A=\left\{-1,-2,-3,-4,-5,1\right\}$$
then A has 5 integers and the product of these 6 integers is negative.
The correct answer is E . At most, all the 6 integers can be negative, and their product is positive.
Because, the product of each pair of negative integers will be positive.
I hope this answer may help you.
Regards.
First, I think there is a mistake in the OA, because if we consider the set
$$A=\left\{-1,-2,-3,-4,-5,1\right\}$$
then A has 5 integers and the product of these 6 integers is negative.
The correct answer is E . At most, all the 6 integers can be negative, and their product is positive.
Because, the product of each pair of negative integers will be positive.
I hope this answer may help you.
Regards.
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If all 6 integers are negative, the product will be positive. Therefore, at most 6 integers can be negative.BTGmoderatorLU wrote:If the product of 6 integers is positive, at most how many of the integers can be negative?
A. 2
B. 3
C. 4
D. 5
E. 6
The OA is D.
I'm really confused with this PS question. Please, can any expert assist me with it? Thanks in advanced.
Answer: E
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