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# If 1 < p < 3, then which of the following could be true?

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Intern
Joined: 10 Jun 2018
Posts: 32
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Kudos [?]: 15 [0], given: 4

If 1 < p < 3, then which of the following could be true? [#permalink]  10 Aug 2018, 15:13
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Question Stats:

81% (01:03) correct 18% (01:07) wrong based on 16 sessions
If $$1 < p < 3$$, then which of the following could be true?

(I) $$p^2 < 2p$$

(II) $$p^2= 2p$$

(III) $$p^2 > 2p$$

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I, II, and III

Source : GRE Math Bible
[Reveal] Spoiler: OA

Last edited by Carcass on 11 Aug 2018, 02:36, edited 2 times in total.
Edited by Carcass
Intern
Joined: 07 Jul 2018
Posts: 9
Followers: 0

Kudos [?]: 5 [1] , given: 1

Re: If 1 < p < 3, then which of the following could be true? [#permalink]  10 Aug 2018, 16:49
1
KUDOS
I think E is the answer??
Moderator
Joined: 18 Apr 2015
Posts: 5917
Followers: 96

Kudos [?]: 1158 [0], given: 5488

Re: If 1 < p < 3, then which of the following could be true? [#permalink]  11 Aug 2018, 02:38
Expert's post
Since Question says "could be true"

(I) $$p^2 < 2$$p ------ True for $$p=\frac{3}{2}$$

(II)$$p^2 = 2p$$ ------ True for $$p=2$$

(III) $$p^2 > 2p$$ ------ True for $$p=\frac{5}{2}$$

E is the amswer
_________________
Re: If 1 < p < 3, then which of the following could be true?   [#permalink] 11 Aug 2018, 02:38
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