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m03 #25

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m03 #25 [#permalink]

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New post 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

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Re: m03 #25 [#permalink]

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New post 16 Apr 2009, 09:40
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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.
Thus, C is the answer.

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Re: m03 #25 [#permalink]

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New post 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.

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New post 28 Sep 2010, 07:30
Forgetting that these numbers are all positive, I jumped to E. But C is correct.

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Re: m03 #25 [#permalink]

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New post 28 Sep 2010, 09:56
I too selected option E without paying attention to the question.

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Re: m03 #25 [#permalink]

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New post 28 Sep 2010, 16:13
Answer C.
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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New post 28 Sep 2010, 18:22
This one got me. :( Didn't focus enough on the question stem.

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New post 28 Sep 2010, 20:23
Its C. Great question to let us know the significance of question stem.
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Re: m03 #25 [#permalink]

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New post 28 Sep 2010, 20:35
Did not write down +ve next to p=q=r?... and chose E :cry:

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Re: m03 #25 [#permalink]

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New post 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.

So answer is C.
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New post 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.

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New post 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.

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Re: m03 #25 [#permalink]

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New post 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

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Re: m03 #25 [#permalink]

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


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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Re: m03 #25 [#permalink]

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New post 30 Sep 2010, 00:18

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Re: m03 #25 [#permalink]

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

C is Answer.
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Re: m03 #25 [#permalink]

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New post 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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New post 01 Oct 2011, 03:18
C is the answer. Positive numbers in question is the clue.
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
MGMAT 6 650 (51,31) on 31/8/11
MGMAT 1 670 (48,33) on 04/9/11
MGMAT 2 670 (47,34) on 07/9/11
MGMAT 3 680 (47,35) on 18/9/11
GMAT Prep1 680 ( 50, 31) on 10/11/11

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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

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Re: m03 #25 [#permalink]

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New post 02 Oct 2011, 01:26
I fell into the same trap as everyone else. Definitely learned to review the questions!

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New post 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.

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Re: m03 #25   [#permalink] 04 Oct 2011, 04:18

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