Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 18 Jul 2019, 10:34 ### 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

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.  # If |x – 6| = 3, what is the value of x?

Author Message
TAGS:

### Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 56256
If |x – 6| = 3, what is the value of x?  [#permalink]

### Show Tags

3
1 00:00

Difficulty:   15% (low)

Question Stats: 71% (00:46) correct 29% (01:02) wrong based on 292 sessions

### HideShow timer Statistics If |x – 6| = 3, what is the value of x?

(1) x is divisible by 9
(2) x is divisible by 3

_________________
Intern  B
Joined: 04 Apr 2017
Posts: 20
Re: If |x – 6| = 3, what is the value of x?  [#permalink]

### Show Tags

5
so answer is A was my first thought.

|x-6| = 3

so obv x = 9 or - 3

1) x dvble 9 : so I substituted

|9-6| = 3; also |27/9 - 6| as both are dvble by 9. so X i thought could be either 27 or 9 . Insuff

2) x dvble by 3.

|x-6| =3
I put x as 9 and 18 --> |18/3 - 6| and |9/3 - 6| . so x again had two values

Answer is A. can you explain what is wrong above?

Also, based on reading the explanations above, it appears we consider x as dvble by something when it leaves behind a remainder one (that is why 9/3 = 3 and 3/3 = 1 hence insufficient; while 9/9 = 1 was seen as sufficient. But why can't we consider 27/9 here?)Would appreciate any reply to this!

Solving Question stem gives:

|x-6| = 3
x-6=3 OR x-6=-3
x=9 OR x=3
So, possible value of X can be 9 or 3, any condition which makes one value as certain will be true.

1. Div by 9 means X=9 it can't be 3 - So, it is sufficient
2. Div by 3 means X=9 or X=3 - So, it is insufficient

##### General Discussion
Retired Moderator B
Joined: 05 Jul 2006
Posts: 1641
Re: If |x – 6| = 3, what is the value of x?  [#permalink]

### Show Tags

1
1
Bunuel wrote:
If |x – 6| = 3, what is the value of x?

(1) x is divisible by 9
(2) x is divisible by 3

from stem

x is either = 9 or 3

from 1

x = 9 ... suff

from 2

x= 9 or 3 .. insuff

A
Manager  B
Joined: 02 Nov 2013
Posts: 81
Location: India
Re: If |x – 6| = 3, what is the value of x?  [#permalink]

### Show Tags

I don't know whether this is even 600 level.
Given that |x – 6| = 3. Removing modulus, We will get two equation, x-6=3 or x-6=-3.
Solving the two equation we will two values of X. i.e. 9 or 3.
Option 1: x is divisible by 9. Sufficient.
Option 2: x is divisible by 3. Both the values 3 and 9 are divisible by 3. Not sufficient.

Intern  Joined: 14 Oct 2015
Posts: 6
Re: If |x – 6| = 3, what is the value of x?  [#permalink]

### Show Tags

Bunuel wrote:
If |x – 6| = 3, what is the value of x?

(1) x is divisible by 9
(2) x is divisible by 3

From stmt 1

X=9 only - sufficient

From Stmt2

X=3 or 9 - not Sufficient

Ans- A
Senior Manager  S
Joined: 15 Jan 2017
Posts: 348
Re: If |x – 6| = 3, what is the value of x?  [#permalink]

### Show Tags

so answer is A was my first thought.

|x-6| = 3

so obv x = 9 or - 3

1) x dvble 9 : so I substituted

|9-6| = 3; also |27/9 - 6| as both are dvble by 9. so X i thought could be either 27 or 9 . Insuff

2) x dvble by 3.

|x-6| =3
I put x as 9 and 18 --> |18/3 - 6| and |9/3 - 6| . so x again had two values

Answer is A. can you explain what is wrong above?

Also, based on reading the explanations above, it appears we consider x as dvble by something when it leaves behind a remainder one (that is why 9/3 = 3 and 3/3 = 1 hence insufficient; while 9/9 = 1 was seen as sufficient. But why can't we consider 27/9 here?)Would appreciate any reply to this!
Math Expert V
Joined: 02 Sep 2009
Posts: 56256
Re: If |x – 6| = 3, what is the value of x?  [#permalink]

### Show Tags

1
1
so answer is A was my first thought.

|x-6| = 3

so obv x = 9 or - 3

1) x dvble 9 : so I substituted

|9-6| = 3; also |27/9 - 6| as both are dvble by 9. so X i thought could be either 27 or 9 . Insuff

2) x dvble by 3.

|x-6| =3
I put x as 9 and 18 --> |18/3 - 6| and |9/3 - 6| . so x again had two values

Answer is A. can you explain what is wrong above?

Also, based on reading the explanations above, it appears we consider x as dvble by something when it leaves behind a remainder one (that is why 9/3 = 3 and 3/3 = 1 hence insufficient; while 9/9 = 1 was seen as sufficient. But why can't we consider 27/9 here?)Would appreciate any reply to this!

The logic there is not right.

If |x – 6| = 3, what is the value of x?

|x – 6| = 3 means that x is either 9 or 3. So, the question asks to find out which one of them is x.

(1) x is divisible by 9. x must be 9 because out of 9 and 3 only 9 is divisible by 9. Sufficient.

(2) x is divisible by 3. Both 9 and 3 are divisible by 3, so we cannot say whether x is 9 or 3. Not sufficient.

_________________
Director  S
Joined: 12 Nov 2016
Posts: 713
Location: United States
Schools: Yale '18
GMAT 1: 650 Q43 V37 GRE 1: Q157 V158 GPA: 2.66
Re: If |x – 6| = 3, what is the value of x?  [#permalink]

### Show Tags

Bunuel wrote:
If |x – 6| = 3, what is the value of x?

(1) x is divisible by 9
(2) x is divisible by 3

two ways to approach abs. value

Positive
1. x-6 = 3

Negative
- lx -6l =3
-x+6 =3
-x=-3
x= 3

A
Non-Human User Joined: 09 Sep 2013
Posts: 11700
Re: If |x – 6| = 3, what is the value of x?  [#permalink]

### Show Tags

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.
_________________ Re: If |x – 6| = 3, what is the value of x?   [#permalink] 24 Dec 2018, 21:01
Display posts from previous: Sort by

# If |x – 6| = 3, what is the value of x?  