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For a certain pair of non zero numbers on the number line

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For a certain pair of non zero numbers on the number line [#permalink]

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For a certain pair of non zero numbers on the number line,is 0 between the two numbers?

(1) the sum of two non zero numbers is negative
(2) the product of two no zero numbers is negative

IMO
[Reveal] Spoiler:
A


Please explain
[Reveal] Spoiler: OA

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Re: For a certain pair of non zero numbers on the number line [#permalink]

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For a certain pair of non zero numbers on the number line, is 0 between the two numbers?

(1) the sum of two non zero numbers is negative. If both numbers are negative (say -1 and -2), then 0 is NOT between them BUT if one number is negative and the other is positive so that it's magnitude is less than that of the first one (say -10 and 1), then 0 is between them. Not sufficient.

(2) the product of two no zero numbers is negative --> the product of any two numbers to be negative, one must be negative and the other positive. Sufficient.

Answer: B.
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Re: For a certain pair of non zero numbers on the number line [#permalink]

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New post 24 Sep 2013, 01:45
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Thanks

I over looked the question. Thought zero should be in middle of two numbers.

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Re: For a certain pair of non zero numbers on the number line [#permalink]

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New post 24 Sep 2013, 01:49
gvinay15 wrote:
Thanks

I over looked the question. Thought zero should be in middle of two numbers.


In this case the question would had been: is 0 halfway between the two numbers? And in this case the answer would indeed be A, because for (1) we would have a definite NO answer to the question.

Hope it helps.
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Re: For a certain pair of non zero numbers on the number line [#permalink]

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New post 11 Dec 2017, 05:51
gvinay15 wrote:
For a certain pair of non zero numbers on the number line,is 0 between the two numbers?

(1) the sum of two non zero numbers is negative
(2) the product of two no zero numbers is negative

IMO
[Reveal] Spoiler:
A


Please explain

Need to know if one of the numbers is positive or negative or if both have the same sign.

(1) the sum of two non zero numbers is negative
Not sufficient because both numbers could be negative or one could be negative and the other could be positive.
-7+-3= -10
7+-8=-1

(2) the product of two no zero numbers is negative
Sufficient because a negative number multiplied by a positive number is negative whereas if it were two negative numbers or two positive numbers the result would positive.

-2 * 5= -10
-2*-5= 10
2*5=10

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Re: For a certain pair of non zero numbers on the number line   [#permalink] 11 Dec 2017, 05:51
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