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What is the value of x + 7 ?

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What is the value of x + 7 ? [#permalink] New post 06 Sep 2010, 14:00
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What is the value of │x + 7│?

(1) │x + 3│= 14
(2) (x + 2)^2 = 169
[Reveal] Spoiler: OA

Last edited by Bunuel on 03 Apr 2013, 00:17, edited 1 time in total.
Edited the OA.
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Re: nightmare :) [#permalink] New post 06 Sep 2010, 14:05
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Are you sure?
What is the source?

For example, in the case of (1), x could be 11 or -17.
So │x + 7│ could be 18 or 10.

The same in (2).

IMO, the answer is C.
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Re: nightmare :) [#permalink] New post 06 Sep 2010, 14:10
I totally agree but this is making me crazy :)
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Re: nightmare :) [#permalink] New post 06 Sep 2010, 14:14
Expert's post
mehdiov wrote:
What is the value of │x + 7│?
(1) │x + 3│= 14
(2) (x + 2)2 = 169


OA must be wrong here.

(1) |x+3|=14 --> x=11 or x=-17, so |x+7|=18 or |x+7|=10;
(2) (x+2)^2=169 --> x=11 or x=-15, so |x+7|=18 or |x+7|=8;

(1)+(2) |x+7|=18. Sufficient.

Answer: C.
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Re: nightmare :) [#permalink] New post 06 Sep 2010, 14:16
Bunuel wrote:
mehdiov wrote:
What is the value of │x + 7│?
(1) │x + 3│= 14
(2) (x + 2)2 = 169


OA must be wrong here.

(1) |x+3|=14 --> x=11 or x=-17, so |x+7|=18 or |x+7|=10;
(2) (x+2)^2=169 --> x=11 or x=-15, so |x+7|=18 or |x+7|=8;

(1)+(2) |x+7|=18. Sufficient.

Answer: C.


Many thanks again ... I this the OA I have are definitly wrong :(
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Re: nightmare :) [#permalink] New post 06 Sep 2010, 15:54
Please, repost the question, in the second stem, I can not see that (x+2)2 is equal to (x+2)^2
Thank you
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Re: nightmare :) [#permalink] New post 06 Sep 2010, 19:50
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it should be C.....Since the master Bunuel himself says the OA must be C , M all but sure it is C :-)
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DS Question please help [#permalink] New post 02 Apr 2013, 19:33
What is the value of │x + 7│?
(1) │x + 3│= 14
(2) (x + 2)2 = 169


I feel the answer should be E as in both the option we will get 2 different values of x.

Am I going wrong?
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Re: DS Question please help [#permalink] New post 02 Apr 2013, 21:05
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akshayb2 wrote:
What is the value of │x + 7│?
(1) │x + 3│= 14
(2) (x + 2)2 = 169


I feel the answer should be E as in both the option we will get 2 different values of x.

Am I going wrong?


STAT1
|x+3| = 14
will give you two solutions
x+3 = 14 and x+3 = -14
x = 11, -17
SO, NOT SUFFICIENT

STAT2
(x+2)^2 = 169
x+2 = +-13
x = -15, 11
So, NOT SUFFICIENT

If you take STAT1 and STAT2 together then there is only one value of x which satisfies both the Statements and is x=11
so, x=11
Hence, Answer will be C

Hope it helps!
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Re: DS Question please help [#permalink] New post 02 Apr 2013, 21:40
Guess I made calculation mistake....Anyways thanks a lot Ankit.. Its very clear explanation
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Re: DS Question please help [#permalink] New post 03 Apr 2013, 00:18
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Expert's post
akshayb2 wrote:
What is the value of │x + 7│?
(1) │x + 3│= 14
(2) (x + 2)2 = 169


I feel the answer should be E as in both the option we will get 2 different values of x.

Am I going wrong?


Merging similar topics.

Please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: What is the value of x + 7 ? [#permalink] New post 26 Jun 2013, 09:17
What is the value of │x + 7│?

Two cases:

If x≥7: (x+7) ===> x+7
if x≤7: -(x+7) ===> -x-7

(1) │x + 3│= 14

Two cases:

If x≥-3: (x+3) = 14 ===> x=11
Valid, as 11 falls within the range of x≥-2

If x<-3: -(x+3)=14 ===> -x-3=14 ===> -x=17 ===> x=-17
Valid, as -17 falls within the range of x≤-3

This presents us with two valid solutions for x.
INSUFFICIENT

(2) (x + 2)^2 = 169

(x + 2)^2 = 169
√(x + 2)^2 = √169
(square root of a function squared results in the absolute value of said function)
|x+2|=13

Two cases:

If x≥-2: |x+2|=13 ===> x+2=13 ===> x=11
Valid, as 11 falls within the range x≥-2

If x<-2: -(x+2)=13 ===> -x-2=13 ===> -x=15 ===> x=-15
Valid, as -15 falls within the range of x<-2
INSUFFICIENT

1+2) 1 and 2 share one identical answer (11)
SUFFICIENT

(C)
Re: What is the value of x + 7 ?   [#permalink] 26 Jun 2013, 09:17
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