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Set Q contains n non-zero numbers. Does set Q contain an even number

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Bunuel
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Set Q contains n non-zero numbers. Does set Q contain an even number [#permalink] New post   13 May 2021, 19:00
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Set Q contains n non-zero numbers. Does set Q contain an even number of negative numbers?

(1) n is even.

(2) The product of all the numbers in Q is 100,000
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Bunuel
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Re: Set Q contains n non-zero numbers. Does set Q contain an even number [#permalink] New post   22 May 2021, 04:15
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Bunuel wrote:
Set Q contains n non-zero numbers. Does set Q contain an even number of negative numbers?

(1) n is even.

(2) The product of all the numbers in Q is 100,000


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Hope this helps.
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chetan2u
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Re: Set Q contains n non-zero numbers. Does set Q contain an even number [#permalink] New post   13 May 2021, 20:23
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Set Q contains n non-zero numbers. Does set Q contain an even number of negative numbers?

(1) n is even.
Doesn’t tell anything about how many of these are negative integers.

(2) The product of all the numbers in Q is 100,000
As the product is positive, the number of negative integers have to be even.
It could be 0, 2, 100 or 700 and so on. But in each case it has to be even number of negative integers.
Sufficient

B
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TarunKumar1234
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Re: Set Q contains n non-zero numbers. Does set Q contain an even number [#permalink] New post   13 May 2021, 21:06
Set Q contains n non-zero numbers. Does set Q contain an even number of negative numbers?

Stat1: n is even.
Not sufficient to say, if negative numbers are even or odd.

Stat2: The product of all the numbers in Q is 100,000
Product is positive so, it must have even nos. of negative nos. Sufficient

So, I think B. :)
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armaan112
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Re: Set Q contains n non-zero numbers. Does set Q contain an even number [#permalink] New post   14 May 2021, 07:02
Its possible the set doesnt contain negative integers at all
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Re: Set Q contains n non-zero numbers. Does set Q contain an even number [#permalink] New post   14 May 2021, 08:02
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armaan112 wrote:
Its possible the set doesnt contain negative integers at all


Yes, that is possible. But 0 is also even.
So, this case too will give an answer yes.
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Re: Set Q contains n non-zero numbers. Does set Q contain an even number [#permalink] New post   14 May 2021, 11:57
1) doesn't tell us anything about the presence of negative numbers at all. Insufficient
2) A positive product means there is an even number of negative numbers (including none) and none of the numbers is 0. Sufficient
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Re: Set Q contains n non-zero numbers. Does set Q contain an even number [#permalink]
14 May 2021, 11:57
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Bunuel
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