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Number Properties

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Number Properties

by zagcollins » Mon Jul 28, 2008 9:12 am
If a and b are nonzero numbers on the number line, is 0 between a and b?
1)The distance between 0 and a is greater than the distance between 0 and b.
2)The sum of the distances between 0 and A and between 0 and b is greater than the distance between 0 and the sum of a+b

OA is B..this is a GPREP question...
Last edited by zagcollins on Tue Jul 29, 2008 4:37 am, edited 1 time in total.
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Source: — Data Sufficiency |
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by dandillion » Mon Jul 28, 2008 9:50 am
I think the answer should be B.

If |a|+|b|>|a+b|, then either a or b has to be negative, while the other number positive.
Therefore, the second condition is sufficient.

The first is not sufficient because both numbers can be positive, or negative, or have different signs.
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by ricky » Mon Jul 28, 2008 9:59 am
IMO B.The question ask us to find out if a is (-) and b (+
), or vice versa.

Let a = -3, b= 2

(i)OA=|a| = 3 and OB =|b| =3

But if a= 2 and b = 1 then again OA>OB; So insufficient.

(ii) |a| +|b| > |a+b|; which is only possible if one of them is negative and other positive.

If a=-3, b=2 then |a|+|b| =3+2=5 > |a+b|(which is |-1|)
If a= 3, b=2 then |a|+|b|=3+2 =5 , but |a+b|= 1

So eithern a or b has to negative and other positive.
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