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

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

by Vincen » Fri Jul 09, 2021 11:07 am

00:00

A

B

C

D

E

## Global Stats

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.

Source: GMAT Prep

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

by swerve » Wed Jul 14, 2021 4:04 pm

00:00

A

B

C

D

E

## Global Stats

Vincen wrote:
Fri Jul 09, 2021 11:07 am
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.

Source: GMAT Prep
(1)
Case I: $$a=-2, b=1,$$ then sum $$a+b=-1$$ and $$0$$ Is between them.
Case II: $$a=-2, b=-1,$$ then sum $$a+b=-3,$$ but $$0$$ is NOT between them.
Not Sufficient $$\Large{\color{red}\chi}$$

(2)
Either $$a$$ or $$b$$ has to be negative, but not both
$$0$$ MUST like between $$a, b$$
Sufficient $$\Large{\color{green}\checkmark}$$

Therefore, B

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