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

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Senior Manager
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What is the value of x + 7 ? (1) x + 3 = 14 (2) (x + 2)^2 = [#permalink] New post 02 Nov 2008, 11:11
What is the value of │x + 7│?
(1) │x + 3│= 14
(2) (x + 2)^2 = 169

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
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Re: face value [#permalink] New post 02 Nov 2008, 11:19
Nihit wrote:
What is the value of │x + 7│?
(1) │x + 3│= 14
(2) (x + 2)^2 = 169

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

I'm going for C.

(1) x=11 or -17, hence insufficient
(2) restate as | x + 2 | = 13, therefore x=11 or -15 insufficient

(1) and (2) overlap on x=11, therefore sufficient. C.
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Re: face value [#permalink] New post 02 Nov 2008, 11:23
Well the OA is D , thats why i posted this one here !
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Re: face value [#permalink] New post 02 Nov 2008, 11:38
it may sound dumb .. but can we do |x+3| + |4| to get |x+7| ???

i know we cant ... i am asking just in case
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Re: face value [#permalink] New post 02 Nov 2008, 22:17
Nihit wrote:
Well the OA is D , thats why i posted this one here !


wow! OA is D !!!
Can't see how...this one will be interesting...
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Re: face value [#permalink] New post 02 Nov 2008, 22:28
amitdgr wrote:
it may sound dumb .. but can we do |x+3| + |4| to get |x+7| ???

i know we cant ... i am asking just in case


Yes, you can, provided x >= 0. Otherwise, no.
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Re: face value [#permalink] New post 02 Nov 2008, 22:29
Nihit wrote:
Well the OA is D , thats why i posted this one here !


Nihit, what is the source and what is the OE? Unless something is missing in the question (e.g. x is >=0, etc.), I do not see how D can be the answer.
Re: face value   [#permalink] 02 Nov 2008, 22:29
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