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# What is the value of integer q?

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What is the value of integer q? [#permalink]

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07 Mar 2016, 09:13
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Question Stats:

57% (00:34) correct 43% (00:27) wrong based on 112 sessions

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What is the value of integer q?

(1) qr + qs = r + s
(2) r ≠ -s
[Reveal] Spoiler: OA

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Re: What is the value of integer q? [#permalink]

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07 Mar 2016, 23:58
qr+qs = r+s
q(r+s) = (r+s)
(q-1)(r+s) = 0
q = 1

St 2: insufficient

Ans; A

Ans :

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What is the value of integer q? [#permalink]

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09 Mar 2016, 02:46
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Bunuel wrote:
What is the value of integer q?

(1) qr + qs = r + s
(2) r ≠ -s

Required: q = ?

Statement 1: qr + qs = r + s
Or q (r + s) = (r+s)
(q-1)(r+s) = 0 (i)
Either q = 1 or r = -s
INSUFFICIENT

Statement 2: r ≠ -s (ii)
INSUFFICIENT

Combining Statement 1 and Statement 2:
From (i), we have (q-1)(r+s) = 0 (i)
And from (ii) r ≠ -s

Hence q = 1
SUFFICIENT

Option C
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Last edited by TeamGMATIFY on 09 Mar 2016, 04:04, edited 1 time in total.

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What is the value of integer q? [#permalink]

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09 Mar 2016, 03:10
TeamGMATIFY wrote:
Bunuel wrote:
What is the value of integer q?

(1) qr + qs = r + s
(2) r ≠ -s

Required: q = ?

Statement 1: qr + qs = r + s
Or q (r + s) = (r+s)
(q-1)(r+s) = 0 (i)
Either q = 1 or r = -s
INSUFFICIENT

Statement 2: r ≠ -s (ii)
INSUFFICIENT

Combining Statement 1 and Statement 2:
From (i), we have (q-1)(r+s) = 0 (i)
And from (ii) r ≠ -s

Hence q = -1
SUFFICIENT

Option C

Hi
$$q=1$$ and not -1 as shown in Red coloured portion, although the same will not effect the answer
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Re: What is the value of integer q? [#permalink]

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09 Mar 2016, 04:02
chetan2u wrote:
Hi
$$q=1$$ and not -1 as shown in Red coloured portion, although the same will not effect the answer

Thanks a lot for pointing it out.
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What is the value of integer q? [#permalink]

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30 Oct 2016, 11:47
I'm confused why the answer is not (E).

From Statement (1):
q(r+s) = r +s
Therefore q = 1 or 0

From Statement (2):
We know (r+s) ≠ 0

Statements (1) + (2) - couldn't variable q still be 1 or 0?

Edit: Annnnnd, I just realized that q cannot be 0 because it were, statement (1) would not hold true. Too quick to post.

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Re: What is the value of integer q? [#permalink]

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21 Sep 2017, 19:22
stephyw wrote:
I'm confused why the answer is not (E).

From Statement (1):
q(r+s) = r +s
Therefore q = 1 or 0

From Statement (2):
We know (r+s) ≠ 0

Statements (1) + (2) - couldn't variable q still be 1 or 0?

Edit: Annnnnd, I just realized that q cannot be 0 because it were, statement (1) would not hold true. Too quick to post.

q=1 or r=-s; How are you calculating q=0? Had the equation been q(r+s)=0 then q=0, r=-s would have been the solution.

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Re: What is the value of integer q?   [#permalink] 21 Sep 2017, 19:22
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# What is the value of integer q?

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