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# m03 #25

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Director
Joined: 18 Feb 2008
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16 Apr 2009, 03:57
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Are positive integers $$P$$ , $$Q$$ , and $$R$$ equal?

1. $$P = Q$$
2. $$Q^2 = R^2$$

Source: GMAT Club Tests - hardest GMAT questions

REVISED VERSION OF THIS QUESTION IS HERE: m03-77840-20.html#p1272933
Manager
Joined: 08 Feb 2009
Posts: 146
Schools: Anderson
Followers: 3

Kudos [?]: 44 [1] , given: 3

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16 Apr 2009, 09:40
1
KUDOS
Hi,

You took the value of R = -2. The question specifies that all of them are Positive integers. That is where you went wrong.

2) Q^2 = R^2
Q=-3 and R=+3 will satisfy this condition and disprove the question. But we cannot assume Q=-3 because Question specifies it is positive.

Combining both, P=Q=R.
Intern
Joined: 22 Jun 2010
Posts: 15
Location: Dominican Republic
Schools: Rochester Institute of Technology
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Kudos [?]: 0 [0], given: 4

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28 Sep 2010, 05:21
1. Has no R info
2. Has no P info

Combining them we have P=Q and Q=R, so P= R, sufficient.
Intern
Joined: 17 May 2010
Posts: 19
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Kudos [?]: 4 [0], given: 0

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28 Sep 2010, 07:30
Forgetting that these numbers are all positive, I jumped to E. But C is correct.
Intern
Joined: 30 Aug 2010
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Location: INDIA
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Kudos [?]: 1 [0], given: 0

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28 Sep 2010, 09:56
I too selected option E without paying attention to the question.
Senior Manager
Status: Time to step up the tempo
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Schools: ISB, Tepper - CMU, Chicago Booth, LSB
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Kudos [?]: 185 [0], given: 50

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28 Sep 2010, 16:13
Easy one, though the key take away from this question would be to keep up the focus and read the question carefully.
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Intern
Joined: 04 Sep 2009
Posts: 7
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Kudos [?]: 1 [0], given: 0

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28 Sep 2010, 18:22
This one got me. Didn't focus enough on the question stem.
Intern
Joined: 02 Apr 2010
Posts: 48
Location: Mumbai
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Kudos [?]: 6 [0], given: 0

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28 Sep 2010, 20:23
Its C. Great question to let us know the significance of question stem.
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Manager
Joined: 07 Aug 2010
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Kudos [?]: 18 [0], given: 9

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28 Sep 2010, 20:35
Did not write down +ve next to p=q=r?... and chose E
Manager
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Kudos [?]: 216 [0], given: 21

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29 Sep 2010, 09:58
1st option P=Q is not sufficient.
2nd option Q2=R2 is also not sufficient.

now take the case of both the options
Since q and R are postive so combining both will give p=q=r hence it is possible to deduce the answer whether p,q and r are equal or not.

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Intern
Joined: 25 Aug 2010
Posts: 46
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Kudos [?]: 12 [0], given: 3

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29 Sep 2010, 18:24
q^2=r^2
=> q=+r or q=-r

as it is mentioned in the problem that p,q,r are all positive integer, q and r should be greater than zero, that is, q=r>0 (q=-r is eliminated; q=+r<0 is eliminated)

since statement one tells that p=q, then if we combine statement one and two, we get p=q=r>0.

that's the result.
Manager
Joined: 13 Jul 2010
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Kudos [?]: 59 [0], given: 7

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29 Sep 2010, 19:49
I also selected E. Need to pay more attention to the question stem. Does anyone write down the question before solving as a best practice? I think that is absolutely critical, and essentially is the reason this question is hard.
Senior Manager
Joined: 20 Jul 2010
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Kudos [?]: 66 [0], given: 9

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29 Sep 2010, 20:13
I had picked e and then realised mistake I felt happy that many thought the same.atleat I am like many others

Posted from my mobile device
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Manager
Joined: 25 Jun 2008
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Kudos [?]: 25 [0], given: 5

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29 Sep 2010, 23:11
BlitzHN wrote:
Did not write down +ve next to p=q=r?... and chose E

what does +ve stand for? I've seen this a few times however i'm uncertain on what the definition is.
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Kudos [?]: 79534 [0], given: 10021

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30 Sep 2010, 00:18
GZR4DR wrote:
BlitzHN wrote:
Did not write down +ve next to p=q=r?... and chose E

what does +ve stand for? I've seen this a few times however i'm uncertain on what the definition is.

+ve ~ positive;
-ve ~ negative.
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Senior Manager
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Kudos [?]: 73 [0], given: 44

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30 Sep 2011, 06:11
easy one but i missed the Positive part. and got E.

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Manager
Affiliations: University of Tehran
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Kudos [?]: 36 [0], given: 57

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30 Sep 2011, 08:53
Of course GC needs time to choose a good question. Question of the day is the day for us to solve the question, not the day the question was posted. i mean seeing it in the inbox.
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Manager
Joined: 20 Nov 2010
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Kudos [?]: 19 [0], given: 38

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01 Oct 2011, 03:18
C is the answer. Positive numbers in question is the clue.
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CR notes
http://gmatclub.com/forum/massive-collection-of-verbal-questions-sc-rc-and-cr-106195.html#p832142
http://gmatclub.com/forum/1001-ds-questions-file-106193.html#p832133
http://gmatclub.com/forum/gmat-prep-critical-reasoning-collection-106783.html
http://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html
http://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html?hilit=chineseburned

Manager
Joined: 21 Nov 2010
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Kudos [?]: 5 [0], given: 12

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02 Oct 2011, 01:26
I fell into the same trap as everyone else. Definitely learned to review the questions!
Intern
Joined: 24 May 2010
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Kudos [?]: 5 [0], given: 6

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04 Oct 2011, 04:18
my pick is C.

S1; no info about R . not sufficient

S2: Q=R, even though the squares are equal, its said all are +ve integers. but, no info about P. not sufficient

Both: As all 3 are positive integers, P, Q, R has to be equal.
Re: m03 #25   [#permalink] 04 Oct 2011, 04:18

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# m03 #25

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