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

 It is currently 21 Feb 2019, 16:09

### 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

## Events & Promotions

###### Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar

February 21, 2019

February 21, 2019

10:00 PM PST

11:00 PM PST

Kick off your 2019 GMAT prep with a free 7-day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.
• ### Free GMAT RC Webinar

February 23, 2019

February 23, 2019

07:00 AM PST

09:00 AM PST

Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT

# Is x divisible by 9?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 53063
Is x divisible by 9?  [#permalink]

### Show Tags

07 Feb 2016, 09:49
1
00:00

Difficulty:

25% (medium)

Question Stats:

73% (01:01) correct 27% (00:51) wrong based on 138 sessions

### HideShow timer Statistics

Is x divisible by 9?

(1) x is divisible by 3.
(2) When x is divided by 6, the remainder is 3.

_________________
Verbal Forum Moderator
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 2232
Location: India
Concentration: General Management, Strategy
Schools: Kelley '20, ISB '19
GPA: 3.2
WE: Information Technology (Consulting)
Re: Is x divisible by 9?  [#permalink]

### Show Tags

07 Feb 2016, 19:17
Is x divisible by 9 =3^2
that x should have at least 2 factors of 3
(1) x is divisible by 3.
If x= 3 or 6 , then it won't be divisible by 9
If x= 9 or 18 , then it would be divisible by 9
Not sufficient.
(2) When x is divided by 6, the remainder is 3
x= 6n + 3
where n is quotient
If x= 3 , it is not divisible by 9 .
If x=9 , it is divisible by 9.
Not sufficient.
Combining 1 and 2 ,
If x= 3 , it is not divisible by 9 .
If x=9 , it is divisible by 9.
Not sufficient.

_________________

When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long
+1 Kudos if you find this post helpful

Current Student
Joined: 12 Aug 2015
Posts: 2621
Schools: Boston U '20 (M)
GRE 1: Q169 V154
Re: Is x divisible by 9?  [#permalink]

### Show Tags

16 Mar 2016, 04:13
Nice Question
Here we can see that x=3 and x=9 is satisfied by both the statements
hence E
_________________
DS Forum Moderator
Joined: 21 Aug 2013
Posts: 1431
Location: India
Re: Is x divisible by 9?  [#permalink]

### Show Tags

18 Dec 2017, 21:57
Bunuel wrote:
Is x divisible by 9?

(1) x is divisible by 3.
(2) When x is divided by 6, the remainder is 3.

(1) A multiple of 3 may or may not be a multiple of 9 (eg, 27 is but 24 is not), so this statement is Insufficient.

(2) x is of the form '6k + 3', where k is a non-negative integer. If we put k=1, we get 9 which is a multiple of 9. But if we put k=2, we get 15 which is not a multiple of 9. So this statement is Insufficient.

Combining the two, a number of the form '6k + 3' is anyway a multiple of 3, and from statement 2 we have seen that this information is not sufficient to know whether the number is divisible by 9 or not. Hence E answer
Re: Is x divisible by 9?   [#permalink] 18 Dec 2017, 21:57
Display posts from previous: Sort by