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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
Joined: 02 Dec 2007
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What is the value of x + 7 ? (1) x + 3 = 14 (2) (x + 2)^2 = [#permalink]  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.
Manager
Joined: 23 Aug 2008
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Re: face value [#permalink]  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.
Senior Manager
Joined: 02 Dec 2007
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Re: face value [#permalink]  02 Nov 2008, 11:23
Well the OA is D , thats why i posted this one here !
VP
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Re: face value [#permalink]  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
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Intern
Joined: 03 Mar 2008
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Re: face value [#permalink]  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...
SVP
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Re: face value [#permalink]  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.
SVP
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Re: face value [#permalink]  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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