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# What is the value of x + 7 ? (1) x + 3 = 14 (2) (x+2) 2 =

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What is the value of x + 7 ? (1) x + 3 = 14 (2) (x+2) 2 = [#permalink]  13 May 2010, 10:36
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What is the value of │x + 7│?
(1) │x + 3│= 14
(2) (x+2)2 = 169

[Reveal] Spoiler:
OA: C
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Re: Data Sufficiency Problem. [#permalink]  13 May 2010, 10:42
ajitsah wrote:
What is the value of │x + 7│?
(1) │x + 3│= 14
(2) (x+2)2 = 169

[Reveal] Spoiler:
OA: D

Am I missing something here. My ans was C.
Stat 1 gives two results; x= 11,-17
Stat 2 gives two results; x= 11,-15

Combining these two, we get that x=11 satisfies the statements and answers the question.
I have read this reasoning somewhere. Pls suggest whether the logic is correct or not, or what should be the strategy behind these type of questions when one variable satisfies both statements and in turn becomes sufficient to answer the question.
Thanks
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Re: Data Sufficiency Problem. [#permalink]  13 May 2010, 10:44
ajitsah wrote:
What is the value of │x + 7│?
(1) │x + 3│= 14
(2) (x+2)2 = 169

One unknown, two equations.

Start with either one and you realize there are two possible values.

For (1): 11 and -17
For (2): 11 and -15

Thus each alone are not sufficient (knock off A, B and D).

Put the together and you see 11 is the only outcome in both that is the same.

The answer is C - together sufficient.

Yeah something is wrong with the OA (typo maybe)
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Re: Data Sufficiency Problem. [#permalink]  13 May 2010, 10:47
yeah I just had that exact same reaction...

Statement One X = 11 or -17 plugging it back into the equation X+7= 18 or,10 So NS

Statement Two X=11 or -15 plugging it back into the equation X+7 = 18 or 8

X=11 and X+7 is the only solution that is a constant and thus the answer C

There is no way this can be D unless you forgot to include a clause about X>0
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Re: Data Sufficiency Problem. [#permalink]  13 May 2010, 11:29
Even I got C !

11 is the common value after solving the equations in Sts. 1 & 2..
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Re: Data Sufficiency Problem. [#permalink]  14 May 2010, 00:40
can you please quote the source ..the answer should not be D it should be C

1) x = 11 or x = -17
so |x + 7 | = 18 or x= 10

so 1 is not sufficient ...and if 1 is not sufficient how can the answer be D ??
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Re: Data Sufficiency Problem. [#permalink]  14 May 2010, 03:32
neoreaves wrote:
can you please quote the source ..the answer should not be D it should be C

1) x = 11 or x = -17
so |x + 7 | = 18 or x= 10

so 1 is not sufficient ...and if 1 is not sufficient how can the answer be D ??

It was from a question set, I got from my friend; don't know the source.
Sorry!!
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Re: Data Sufficiency Problem. [#permalink]  15 May 2010, 09:27
might be OA is not right.
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Re: Data Sufficiency Problem. [#permalink]  08 Nov 2010, 06:59
I've changed OA in the first post. It's clearly C.
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Re: Data Sufficiency Problem.   [#permalink] 08 Nov 2010, 06:59
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