GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 17 Aug 2019, 14:05

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

If |x – 6| = 5, what is the value of x?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 57025
If |x – 6| = 5, what is the value of x?  [#permalink]

Show Tags

New post 02 Dec 2016, 06:50
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

65% (00:56) correct 35% (01:02) wrong based on 141 sessions

HideShow timer Statistics

VP
VP
User avatar
D
Joined: 05 Mar 2015
Posts: 1007
Re: If |x – 6| = 5, what is the value of x?  [#permalink]

Show Tags

New post 02 Dec 2016, 07:43
1
Bunuel wrote:
If |x – 6| = 5, what is the value of x?

(1) x > 0
(2) x^2 = 121

|x – 6| = 5
means x-6=5 or x-6=-5
solving both x=11 or 1----(a)

(1) x=11 , 1....not suff..
(2) x=11 , -11
but from (a) x= 11,1
thus x=11---------> suff

Ans B
Manager
Manager
avatar
B
Joined: 02 Nov 2013
Posts: 79
Location: India
Re: If |x – 6| = 5, what is the value of x?  [#permalink]

Show Tags

New post 02 Dec 2016, 09:17
If |x – 6| = 5
By removing the modulus we will have,
x-6 = 5 or x-6=-5. It will have two values of X i.e. 1 and 11.
Coming to options,
Option 1: x>0. As both the values are greater than 0. Option is not sufficient.
Option 2: x^2 = 121. X will have two values either 11 or -11. Sufficient.

Answer B.
Intern
Intern
avatar
B
Joined: 04 Sep 2017
Posts: 18
Re: If |x – 6| = 5, what is the value of x?  [#permalink]

Show Tags

New post 15 Mar 2018, 04:29
Can someone explain to me how the answer is B?

Statement 2 gives us two answers: -11 and 11, therefore it should be NS.

If we combine both statements we get 11. So shouldnt the answer be C?
Board of Directors
User avatar
V
Status: Stepping into my 10 years long dream
Joined: 18 Jul 2015
Posts: 3605
Reviews Badge
Re: If |x – 6| = 5, what is the value of x?  [#permalink]

Show Tags

New post 15 Mar 2018, 04:33
1
teamryan15 wrote:
Can someone explain to me how the answer is B?

Statement 2 gives us two answers: -11 and 11, therefore it should be NS.

If we combine both statements we get 11. So shouldnt the answer be C?


Hi teamryan15 ,

Answer is B because even though you got x = 11 or -11, only x = 11 will satisfy the original condition given |x-6| = 5.

Does that make sense?
_________________
My GMAT Story: From V21 to V40
My MBA Journey: My 10 years long MBA Dream
My Secret Hacks: Best way to use GMATClub | Importance of an Error Log!
Verbal Resources: All SC Resources at one place | All CR Resources at one place
Blog: Subscribe to Question of the Day Blog
GMAT Club Inbuilt Error Log Functionality - View More.
New Visa Forum - Ask all your Visa Related Questions - here.
New! Best Reply Functionality on GMAT Club!
Find a bug in the new email templates and get rewarded with 2 weeks of GMATClub Tests for free
Check our new About Us Page here.
Intern
Intern
avatar
B
Joined: 04 Sep 2017
Posts: 18
Re: If |x – 6| = 5, what is the value of x?  [#permalink]

Show Tags

New post 15 Mar 2018, 04:43
abhimahna wrote:
teamryan15 wrote:
Can someone explain to me how the answer is B?

Statement 2 gives us two answers: -11 and 11, therefore it should be NS.

If we combine both statements we get 11. So shouldnt the answer be C?


Hi teamryan15 ,

Answer is B because even though you got x = 11 or -11, only x = 11 will satisfy the original condition given |x-6| = 5.

Does that make sense?


It does. Looks like I should have read the question stem more closely.
Intern
Intern
avatar
B
Joined: 09 May 2015
Posts: 5
Re: If |x – 6| = 5, what is the value of x?  [#permalink]

Show Tags

New post 20 Mar 2018, 03:59
i am still unable to understand why the answer is not D but B.
We should check for both the negative and positive values of x.For x<0,-(x-6)=5 or -x+6=5 or x=1.hence not satisfied.
For x>0,(x-6)=5 or x=11.
from statement 1: only x=11 will satisfy the value.
from statement 2 also: x=11 will satisfy the value.
hence D.
can someone please help where am i going wrong?
Board of Directors
User avatar
V
Status: Stepping into my 10 years long dream
Joined: 18 Jul 2015
Posts: 3605
Reviews Badge
If |x – 6| = 5, what is the value of x?  [#permalink]

Show Tags

New post 20 Mar 2018, 04:05
1
kuldeepdubai1986 wrote:
i am still unable to understand why the answer is not D but B.
We should check for both the negative and positive values of x.For x<0,-(x-6)=5 or -x+6=5 or x=1.hence not satisfied.
For x>0,(x-6)=5 or x=11.
from statement 1: only x=11 will satisfy the value.
from statement 2 also: x=11 will satisfy the value.
hence D.
can someone please help where am i going wrong?


Hey kuldeepdubai1986 ,

You missed very important point of modulus.

|x - 6 | = x - 6 if x >= 6
|x - 6 | = -(x-6) if x < 6

Now, in option A. We are told x > 0. That could mean x could be 1,2 or value more than 6.

Hence, when you open the modulus, you will get

|x-6| = 5

x-6 = 5 => x = 11

or -(x-6) = 5 => -x+6=5 => x = 1

Hence, two values of x for x > 0. Therefore, A is insufficient.

Does that make sense?
_________________
My GMAT Story: From V21 to V40
My MBA Journey: My 10 years long MBA Dream
My Secret Hacks: Best way to use GMATClub | Importance of an Error Log!
Verbal Resources: All SC Resources at one place | All CR Resources at one place
Blog: Subscribe to Question of the Day Blog
GMAT Club Inbuilt Error Log Functionality - View More.
New Visa Forum - Ask all your Visa Related Questions - here.
New! Best Reply Functionality on GMAT Club!
Find a bug in the new email templates and get rewarded with 2 weeks of GMATClub Tests for free
Check our new About Us Page here.
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 7728
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: If |x – 6| = 5, what is the value of x?  [#permalink]

Show Tags

New post 21 Mar 2018, 21:19
Bunuel wrote:
If |x – 6| = 5, what is the value of x?

(1) x > 0
(2) x^2 = 121


Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.

The first step of the VA (Variable Approach) method is to modify the original condition and the question. We then recheck the question.

\(|x-6| = 5\)
\(⇔ x-6 = ±5\)
\(⇔ x = 6 ±5\)
\(⇔ x = 11\) or \(x = 1\)

Condition 1)
Since we have \(x = 11\) or \(x = 1\) from \(x > 0\), we don't have a unique solution.
Thus condition 1) is not sufficient.

Condition 2)
\(x^2 = 121\)
\(⇔ x = ± 11\)
Since we have a solution 11 only, condition 2) is sufficient.

Therefore, B is the answer.
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $79 for 1 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 12006
Re: If |x – 6| = 5, what is the value of x?  [#permalink]

Show Tags

New post 08 Aug 2019, 12:47
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Bot
Re: If |x – 6| = 5, what is the value of x?   [#permalink] 08 Aug 2019, 12:47
Display posts from previous: Sort by

If |x – 6| = 5, what is the value of x?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne