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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
Followers: 1

Kudos [?]: 7 [0], given: 0

If a < b < c, which of the following must be true? I. [#permalink]  05 Mar 2007, 08:58
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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
Followers: 1

Kudos [?]: 1 [0], given: 0

Re: DS - Number Substitution [#permalink]  05 Mar 2007, 09:46
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
Followers: 1

Kudos [?]: 26 [0], given: 0

Yeah, I agree with A.

I use the same approach as CookieMonster (i.e. picking numbers)
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