DS = Modulus : DS Archive
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# DS = Modulus

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Director
Joined: 12 Oct 2008
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19 Sep 2009, 12:31
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what is the value of |x|

1. x = - |x|
2. x^2 = 4

[Reveal] Spoiler:
OA B IMO D
Intern
Joined: 20 Aug 2009
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19 Sep 2009, 12:38
Answer would be B (2) alone is sufficient.

1. x = - |x| that means x < 0 ..insufficient..for example lets say x=-2 , then |x| = 2 so in order for the condition to match x has to be negative. this will not work for x = 2

2. x square = 4. i.e x= 2 or x = -2 but |x| = 2 ...sufficient..
Intern
Joined: 03 Sep 2009
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Kudos [?]: 14 [0], given: 1

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19 Sep 2009, 12:42
Agree with your solution. Ans: B

keys wrote:
Answer would be B (2) alone is sufficient.

1. x = - |x| that means x < 0 ..insufficient..for example lets say x=-2 , then |x| = 2 so in order for the condition to match x has to be negative. this will not work for x = 2

2. x square = 4. i.e x= 2 or x = -2 but |x| = 2 ...sufficient..
Director
Joined: 12 Oct 2008
Posts: 554
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Kudos [?]: 424 [0], given: 2

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19 Sep 2009, 12:44
OA is B

my thinking is x = -|x|

|x| will always +ve it means x = -x only 0 can satisfy this condition, therefore x = 0

what is wrong here?

keys wrote:
Whats OA?
Intern
Joined: 03 Sep 2009
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19 Sep 2009, 12:51
|x| >= 0 with all x
but |x| = x only with x >=0
so when you say "it means x = -x " you only think about x>=0 and you forgot the case x <0.
when x <0 => |x| = -x with all x <=0

OA is B

my thinking is x = -|x|

|x| will always +ve it means x = -x only 0 can satisfy this condition, therefore x = 0

what is wrong here?

keys wrote:
Whats OA?
Manager
Joined: 15 Sep 2009
Posts: 137
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20 Sep 2009, 03:32
statement 1 is insuff

statement 2 : x can be either 2 or -2. So |x| = 2.suff

I wud go with option 2
Re: DS = Modulus   [#permalink] 20 Sep 2009, 03:32
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