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

It is currently 19 Sep 2018, 13:42

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

When p is divided by 9, the remainder is 4. All of the following are

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49251
When p is divided by 9, the remainder is 4. All of the following are  [#permalink]

Show Tags

New post 11 Apr 2016, 04:02
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

88% (00:38) correct 12% (00:31) wrong based on 253 sessions

HideShow timer Statistics

Manager
Manager
avatar
B
Status: One Last Shot !!!
Joined: 04 May 2014
Posts: 241
Location: India
Concentration: Marketing, Social Entrepreneurship
GMAT 1: 630 Q44 V32
GMAT 2: 680 Q47 V35
GMAT ToolKit User Reviews Badge
Re: When p is divided by 9, the remainder is 4. All of the following are  [#permalink]

Show Tags

New post 11 Apr 2016, 07:40
Bunuel wrote:
When p is divided by 9, the remainder is 4. All of the following are possible values of p, except for which of the following?

A. 13
B. 31
C. 49
D. 57
E. 67


(Answer_choice - 4) should NOT be divisible by 9.

Only 57 follows.

hence D
_________________

One Kudos for an everlasting piece of knowledge is not a bad deal at all... :thanks

------------------------------------------------------------------------------------------------------------------------
Twenty years from now you will be more disappointed by the things you didn't do than by the ones you did do. So throw off the bowlines. Sail away from the safe harbor. Catch the trade winds in your sails. Explore. Dream. Discover.
-Mark Twain

SC Moderator
User avatar
D
Joined: 13 Apr 2015
Posts: 1706
Location: India
Concentration: Strategy, General Management
GMAT 1: 200 Q1 V1
GPA: 4
WE: Analyst (Retail)
GMAT ToolKit User Premium Member CAT Tests
When p is divided by 9, the remainder is 4. All of the following are  [#permalink]

Show Tags

New post 11 Apr 2016, 08:10
1
If a number is divisible by 9, the sum of its digits must be divisible by 9. --> If a number leaves a remainder 4 when divided by 9 the sum of its digits must be 4.

57 = 5 + 7 = 12--> 1 + 2 = 3

Answer: D
CEO
CEO
User avatar
D
Joined: 12 Sep 2015
Posts: 2854
Location: Canada
Re: When p is divided by 9, the remainder is 4. All of the following are  [#permalink]

Show Tags

New post 11 Apr 2016, 08:25
Bunuel wrote:
When p is divided by 9, the remainder is 4. All of the following are possible values of p, except for which of the following?

A. 13
B. 31
C. 49
D. 57
E. 67


When it comes to remainders, we have a nice rule that says:
If N divided by D, leaves remainder R, then the possible values of N are R, R+D, R+2D, R+3D,. . . etc.
For example, if k divided by 5 leaves a remainder of 1, then the possible values of k are: 1, 1+5, 1+(2)(5), 1+(3)(5), 1+(4)(5), . . . etc.

So, if p is divided by 9, leaves a remainder 4, then the possible values of p are: 4, 4+9, 4+(2)(9), 4+(3)(9), ...etc
In other words, the possible values of p are 4, 13, 22, 31, 40, 49, 58, 67...
As you can see, 57 is not in the list.
Answer: D

Related Resource
The following free video covers the concepts/strategies that are useful for answering this question:
- Remainders: https://www.gmatprepnow.com/module/gmat ... /video/842

Cheers,
Brent
_________________

Brent Hanneson – GMATPrepNow.com
Image
Sign up for our free Question of the Day emails

SVP
SVP
avatar
B
Joined: 06 Nov 2014
Posts: 1887
Re: When p is divided by 9, the remainder is 4. All of the following are  [#permalink]

Show Tags

New post 11 Apr 2016, 09:17
Bunuel wrote:
When p is divided by 9, the remainder is 4. All of the following are possible values of p, except for which of the following?

A. 13
B. 31
C. 49
D. 57
E. 67


P is of the form 9n + 4

On checking the options:

A. 13 = 9 + 4
B. 31 = 9*3 + 4
C. 49 = 9*5 + 4
D. 57. This cannot be expressed as 9n + 4
E. 67 = 9*7 + 4

Correct Option: D
Intern
Intern
avatar
B
Joined: 11 Mar 2014
Posts: 29
Schools: HEC Montreal '20
Reviews Badge
Re: When p is divided by 9, the remainder is 4. All of the following are  [#permalink]

Show Tags

New post 11 Apr 2016, 10:42
d is answer 9*6=54
54+4=58
Intern
Intern
avatar
Joined: 05 Feb 2016
Posts: 9
GMAT 1: 510 Q39 V21
Re: When p is divided by 9, the remainder is 4. All of the following are  [#permalink]

Show Tags

New post 13 Apr 2016, 02:06
p / 9 = k (4) with k the quotient and 4 the remainder
--> p = 9k + 4
--> possible value of p : 4, 13, 22, 31, 40, 49, 58, 67...
All answer choices fit, except 57...

answer D
_________________

What we do in life, echoes in eternity...

Director
Director
User avatar
G
Joined: 24 Nov 2015
Posts: 544
Location: United States (LA)
Reviews Badge
Re: When p is divided by 9, the remainder is 4. All of the following are  [#permalink]

Show Tags

New post 14 Jun 2016, 04:38
The number can be expressed in the form of 9x+4 where x can 0,1,2,3,4....
by evaluating the answer choices carefully we can clearly observe that 57 is the only number which can't be expressed in the form of 9x+4
In other words we can also say that the (answer - 4) will not be divisible by 9.57 is the number which doesn't follow this condition
Correct Answer - D
Director
Director
User avatar
G
Joined: 20 Feb 2015
Posts: 728
Concentration: Strategy, General Management
Premium Member CAT Tests
Re: When p is divided by 9, the remainder is 4. All of the following are  [#permalink]

Show Tags

New post 14 Jun 2016, 07:01
p=9k+4
13=9*1+4
31=9*3+4
49=9*5+4
57=9*6+3
so D !!
Senior Manager
Senior Manager
User avatar
S
Joined: 25 Mar 2013
Posts: 256
Location: United States
Concentration: Entrepreneurship, Marketing
GPA: 3.5
GMAT ToolKit User Reviews Badge
Re: When p is divided by 9, the remainder is 4. All of the following are  [#permalink]

Show Tags

New post 26 Jan 2017, 13:40
Check multiples of 9 in options
Only option is D reminds 3
_________________

I welcome analysis on my posts and kudo +1 if helpful. It helps me to improve my craft.Thank you

VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1087
Re: When p is divided by 9, the remainder is 4. All of the following are  [#permalink]

Show Tags

New post 06 Nov 2017, 21:10
Bunuel wrote:
When p is divided by 9, the remainder is 4. All of the following are possible values of p, except for which of the following?

A. 13
B. 31
C. 49
D. 57
E. 67


p-4 has to be a multiple of 9
57-4=53, which isn't
D
Manager
Manager
avatar
G
Joined: 31 Jul 2017
Posts: 122
Location: Tajikistan
Concentration: Finance, Economics
Schools: Booth '21, CBS '21
GMAT 1: 690 Q48 V35
GRE 1: Q164 V162
GPA: 3.85
WE: Accounting (Investment Banking)
Premium Member CAT Tests
Re: When p is divided by 9, the remainder is 4. All of the following are  [#permalink]

Show Tags

New post 18 Jun 2018, 08:49
we need to check nultiples of 9, only D is not
Re: When p is divided by 9, the remainder is 4. All of the following are &nbs [#permalink] 18 Jun 2018, 08:49
Display posts from previous: Sort by

When p is divided by 9, the remainder is 4. All of the following are

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

Events & Promotions

PREV
NEXT


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.