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Junior | Next Rank: 30 Posts
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by cool_sni » Sat Jun 20, 2009 4:38 pm
What is x?

(1) |x| < 2

(2) |x| = 3x – 2

OA B

Not convinced with MGMAT explanation. Someone please explain.
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Source: — Data Sufficiency |
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by SanjeevK » Sat Jun 20, 2009 4:55 pm
IMO B

A: |x| < 2. It means -2<x<2. Doesn't give us the unique value of x. Insufficient

B: |x| = 3x – 2. Here we have two cases.
Case 1: x>0 => x = 3x-2 => x=1.
Case 2: x<0 => -x = 3x-2 => x=1/2. Since x<0, x can't be 1/2.
So we have only one solution x=1. Sufficient.

Hope this helps
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by ghacker » Sun Jun 21, 2009 10:48 am
What is X --- this means X has a specific value

so statement I is out ( -2<X<2)

Look at statement II

It gives an alternative representation of mod X

We can look at the two givens as graphs one is y = /x/ and the other one is y = 3x-2

but we know the shape of y=/x/ ( its a " V" shaped function )
the only value for which y=/x/ = 3x-2 is x= 1 , hence the value is 1

sufficient

answer is B [/img]
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by cool_sni » Sun Jun 21, 2009 4:07 pm
Got it, Thanks guys
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