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by Troika » Wed Feb 29, 2012 5:15 pm
If n and as are two numbers on a number line, what is the value of s?

1. The distance between s and 0 is one half the distance between n and 0.
2. -4 is halfway between n and s.

OA: E
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Source: — Data Sufficiency |
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by pemdas » Wed Feb 29, 2012 5:41 pm
HG10 wrote:If n and as are two numbers on a number line, what is the value of s?

1. The distance between s and 0 is one half the distance between n and 0.
2. -4 is halfway between n and s.

OA: E
st(1) suggests distance but not direction - i.e. to the left or right from zero Not Sufficient
st(2) half-way means the side values could be anything, Not Sufficient
combining st(1&2): different possibilities exist for two values n and s, Not Sufficient

e
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by GMATGuruNY » Wed Feb 29, 2012 7:20 pm
HG10 wrote:If n and as are two numbers on a number line, what is the value of s?

1. The distance between s and 0 is one half the distance between n and 0.
2. -4 is halfway between n and s.

OA: E
Statement 1: |s| = (1/2)*|n|
|n| = 2|s|.
No way to determine the value of s.
INSUFFICIENT.

Statement 2: -4 is halfway between n and s
(n+s)/2 = -4
n+s = -8.
No way to determine the value of s.
INSUFFICIENT.

Statements 1 and 2 combined:
Substituting n=-s-8 into |n| = 2|s|, we get:
|-s-8| = 2|s|.

Case 1: -s-8 = 2s
-8 = 3s
s = -8/3

Case 2: s+8 = 2s
s=8.

Since it's possible that s = -8/3 or that s=8, INSUFFICIENT.

The correct answer is E.
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by Troika » Thu Mar 01, 2012 6:49 am
Guys, thank you for the explanations!
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