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

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Manager
Joined: 09 Jan 2007
Posts: 240
If a < b < c, which of the following must be true? I. [#permalink]

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05 Mar 2007, 09:58
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If a < b < c, which of the following must be true?
I. a < b^2
II. b â€“ 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
Joined: 18 Feb 2007
Posts: 253
Re: DS - Number Substitution [#permalink]

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05 Mar 2007, 10:46
rdg wrote:
If a < b < c, which of the following must be true?
I. a < b^2
II. b â€“ 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]
Manager
Joined: 12 Feb 2006
Posts: 115

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06 Mar 2007, 21:41
Yeah, I agree with A.

I use the same approach as CookieMonster (i.e. picking numbers)
06 Mar 2007, 21:41
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# If a < b < c, which of the following must be true? I.

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