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If a < b < c, which of the following must be true? I.

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Manager
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If a < b < c, which of the following must be true? I. [#permalink] New post 05 Mar 2007, 08:58
00:00
A
B
C
D
E

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If a < b < c, which of the following must be true?
I. a < b^2
II. b – a < c
III. a^2< b^2< c^2

a) None
b) I only
c) II only
d) III only
e) II and III
Senior Manager
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Re: DS - Number Substitution [#permalink] New post 05 Mar 2007, 09:46
rdg wrote:
If a < b < c, which of the following must be true?
I. a < b^2
II. b – a < c
III. a^2< b^2< c^2

a) None
b) I only
c) II only
d) III only
e) II and III


A.

1) ex: a = 1/3, b = 1/2
2) ex: [a,b,c] = [-5,2,3]
3) ex: [a,b,c] = [-100,-10,0]
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 [#permalink] New post 06 Mar 2007, 20:41
Yeah, I agree with A.

I use the same approach as CookieMonster (i.e. picking numbers)
  [#permalink] 06 Mar 2007, 20:41
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If a < b < c, which of the following must be true? I.

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