Oct 18 08:00 AM PDT  09:00 AM PDT Learn an intuitive, systematic approach that will maximize your success on Fillintheblank GMAT CR Questions. Oct 19 07:00 AM PDT  09:00 AM PDT Does GMAT RC seem like an uphill battle? eGMAT is conducting a free webinar to help you learn reading strategies that can enable you to solve 700+ level RC questions with at least 90% accuracy in less than 10 days. Sat., Oct 19th at 7 am PDT Oct 20 07:00 AM PDT  09:00 AM PDT Get personalized insights on how to achieve your Target Quant Score. Oct 22 08:00 PM PDT  09:00 PM PDT On Demand for $79. For a score of 4951 (from current actual score of 40+) AllInOne Standard & 700+ Level Questions (150 questions)
Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 29 Mar 2010
Posts: 35
Location: Leeds
Schools: SBS, JBS(ding w/o interview), HEC
WE 1: SCI12 yrs

What is the value of │x + 7│?
[#permalink]
Show Tags
13 May 2010, 10:36
Question Stats:
67% (01:30) correct 33% (01:35) wrong based on 451 sessions
HideShow timer Statistics
What is the value of │x + 7│? (1) x + 3│= 14 (2) (x + 2)^2 = 169
Official Answer and Stats are available only to registered users. Register/ Login.



Intern
Joined: 29 Mar 2010
Posts: 35
Location: Leeds
Schools: SBS, JBS(ding w/o interview), HEC
WE 1: SCI12 yrs

Re: What is the value of │x + 7│?
[#permalink]
Show Tags
13 May 2010, 10:42
ajitsah wrote: What is the value of │x + 7│? (1) │x + 3│= 14 (2) (x+2)\(2\) = 169 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



Retired Moderator
Status: Accepting donations for the mohater MBA debt repayment fund
Joined: 05 Feb 2008
Posts: 1835
Location: United States (CA)
Concentration: Operations, Finance
GPA: 3.54
WE: Accounting (Manufacturing)

Re: What is the value of │x + 7│?
[#permalink]
Show Tags
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)
_________________



Manager
Joined: 02 Aug 2009
Posts: 96

Re: What is the value of │x + 7│?
[#permalink]
Show Tags
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



Intern
Joined: 09 Apr 2010
Posts: 46

Re: What is the value of │x + 7│?
[#permalink]
Show Tags
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 ??



Manager
Joined: 24 Dec 2009
Posts: 154

Re: What is the value of │x + 7│?
[#permalink]
Show Tags
18 Aug 2010, 12:43
Answer D is correct.
A. gives us two values of x i.e. x = 11 or x = 11. However when you substitute these values back into equation given in A, x = 11 is the only valid value. Hence we can find mod ( x + 7 ) = 18
Hence A sufficient.
B. also gives us two values of x, i.e. 11 and 11. Resubstitute both values and validate the equation given in B. It holds true only for x = 11. Hence we are able to find mod (x + 7).
Hence B is sufficient as well.
Hence D is correct answer. Thank You.
Thanks, Akhil M.Parekh



Manager
Joined: 25 Jun 2009
Posts: 231

Re: What is the value of │x + 7│?
[#permalink]
Show Tags
18 Aug 2010, 19:14
amp0201 wrote: Answer D is correct.
A. gives us two values of x i.e. x = 11 or x = 11. However when you substitute these values back into equation given in A, x = 11 is the only valid value. Hence we can find mod ( x + 7 ) = 18
Hence A sufficient.
B. also gives us two values of x, i.e. 11 and 11. Resubstitute both values and validate the equation given in B. It holds true only for x = 11. Hence we are able to find mod (x + 7).
Hence B is sufficient as well.
Hence D is correct answer. Thank You.
Thanks, Akhil M.Parekh B gives 2 values as 11 and 15 \((x+2)^2= 13 ^2\) \((x+2)=+13\) x=11 , 15 Hence 2 different values Can you explain how did you get values as 11 and 11 in statement B?



Intern
Joined: 16 Aug 2010
Posts: 4

Re: What is the value of │x + 7│?
[#permalink]
Show Tags
18 Aug 2010, 21:15
amp0201 wrote: Answer D is correct.
A. gives us two values of x i.e. x = 11 or x = 11. However when you substitute these values back into equation given in A, x = 11 is the only valid value. Hence we can find mod ( x + 7 ) = 18
Hence A sufficient.
B. also gives us two values of x, i.e. 11 and 11. Resubstitute both values and validate the equation given in B. It holds true only for x = 11. Hence we are able to find mod (x + 7).
Hence B is sufficient as well.
Hence D is correct answer. Thank You.
Thanks, Akhil M.Parekh I think its C. 1) This raises two values, X=11 and 17. Therefore, insufficient. 2) This again raises to two values, X=11 and 15. Therefore, insufficient. Considering 1 and 2, the common value X=11 is considered. Therefore, sufficient.



Manager
Joined: 24 Dec 2009
Posts: 154

Re: What is the value of │x + 7│?
[#permalink]
Show Tags
18 Aug 2010, 22:11
Sorry my bad. Yes I calculated it wrong.
For B  it is 11 and 15. Hence insufficient.
Together A and B > x = 11. Hence C is correct answer.
Thanks for pointing out the mistake.
Akhil M.Parekh



Joined: 31 Dec 1969
Location: Russian Federation
Concentration: Entrepreneurship, International Business
WE: Supply Chain Management (Energy and Utilities)

Re: What is the value of │x + 7│?
[#permalink]
Show Tags
03 Sep 2010, 10:40
Answer must be C.
Statement (1) gives two values, x = 11, and x = 17. Both of these values adequately satisfy the equation x+3=14. Plug them into x+7 to get 11+7=18 and 17+7=10. Two different values, thus we can't determine a single solution for x.
Statement (2) also gives two values, x = 11 and x = 15. Both of these values satisfy the equation (x+2)^2=169. Plug them into x+7 to get 11+7=18 and 15+7=8. Two different values again, thus we can't determine a single solution for x.
Combine (1) and (2) to get x = 11, which results in a single value for x+7.



Math Expert
Joined: 02 Sep 2009
Posts: 58411

Re: What is the value of │x + 7│?
[#permalink]
Show Tags
09 Sep 2010, 11:47
What is the value of x + 7?(1) \(x+3=14\) > \(x=11\) or \(x=17\), so \(x+7=18\) or \(x+7=10\). Not sufficient. (2) \((x+2)^2=169\) > \(x=11\) or \(x=15\), so \(x+7=18\) or \(x+7=8\). Not sufficient. (1)+(2) \(x+7=18\). Sufficient. Answer: C.
_________________



Intern
Joined: 11 Feb 2018
Posts: 34

Re: What is the value of │x + 7│?
[#permalink]
Show Tags
07 Apr 2018, 01:01
Bunuel wrote: What is the value of x + 7?
(1) \(x+3=14\) > \(x=11\) or \(x=17\), so \(x+7=18\) or \(x+7=10\). Not sufficient.
(2) \((x+2)^2=169\) > \(x=11\) or \(x=15\), so \(x+7=18\) or \(x+7=8\). Not sufficient.
(1)+(2) \(x+7=18\). Sufficient.
Answer: C. The working is fairly simple here. My only doubt is we getting lX+7l=18 in each of the statement 1 and 2. So, the answer is C But we also getting lX+7l = 10 (from statement 1 ) and lX+7l=8 (statement 2). So why we ignoring this values of lX+7l. And both of these are different values of lX+7l Thanks



Math Expert
Joined: 02 Sep 2009
Posts: 58411

Re: What is the value of │x + 7│?
[#permalink]
Show Tags
07 Apr 2018, 01:34
cruiseav wrote: Bunuel wrote: What is the value of x + 7?
(1) \(x+3=14\) > \(x=11\) or \(x=17\), so \(x+7=18\) or \(x+7=10\). Not sufficient.
(2) \((x+2)^2=169\) > \(x=11\) or \(x=15\), so \(x+7=18\) or \(x+7=8\). Not sufficient.
(1)+(2) \(x+7=18\). Sufficient.
Answer: C. The working is fairly simple here. My only doubt is we getting lX+7l=18 in each of the statement 1 and 2. So, the answer is C But we also getting lX+7l = 10 (from statement 1 ) and lX+7l=8 (statement 2). So why we ignoring this values of lX+7l. And both of these are different values of lX+7l Thanks In DS when you have say a = 1 or a = 2 in (1) and a = 1 or a = 3 in (2), then when considering (1)+(2) you are taking the common value, so a = 1. The same in the given question, both (1) and (2) give two possible values of x+7. When considering (1)+(2) x+7 could only be one of those value, the one which is common for (1) and (2).
_________________



SVP
Joined: 03 Jun 2019
Posts: 1696
Location: India

Re: What is the value of │x + 7│?
[#permalink]
Show Tags
10 Jul 2019, 22:41
ajitsah wrote: What is the value of │x + 7│?
(1) x + 3│= 14 (2) (x + 2)^2 = 169 S1: x+3 =14 => x = 3 +/ 14 => x = 17 or x = 11 NOT SUFFICIENT S2: \((x + 2)^2 = 169\) => x+2 = 13 => x =2 +/13 => x = 15 or x = 11 NOT SUFFICIENT Combining S1 & S2 x = 11 SUFFICIENT IMO C
_________________
"Success is not final; failure is not fatal: It is the courage to continue that counts." Please provide kudos if you like my post. Kudos encourage active discussions. My GMAT Resources:  Efficient LearningAll you need to know about GMAT quantTele: +911140396815 Mobile : +919910661622 Email : kinshook.chaturvedi@gmail.com




Re: What is the value of │x + 7│?
[#permalink]
10 Jul 2019, 22:41






