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

It is currently 13 Dec 2019, 02:53

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 n divided by 7 has a remainder of 2, what is the remainder when 3

  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: 59722
If n divided by 7 has a remainder of 2, what is the remainder when 3  [#permalink]

Show Tags

New post 21 Mar 2016, 07:28
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

91% (00:50) correct 9% (00:48) wrong based on 134 sessions

HideShow timer Statistics

Current Student
User avatar
D
Joined: 12 Aug 2015
Posts: 2550
Schools: Boston U '20 (M)
GRE 1: Q169 V154
GMAT ToolKit User
If n divided by 7 has a remainder of 2, what is the remainder when 3  [#permalink]

Show Tags

New post Updated on: 02 Apr 2016, 12:02
2
As per question => N=7P+2 for some integer p
hence 3N => 21Q + 6 => remainder => 6 for some integer Q
Alternatively => N=2 > 3N=> 6 => 6 divided by 7 will leave a remainder 6
hence E
I hope it helps.
Peace Out ..
NO KUDOS NEEDED :)
_________________

Originally posted by stonecold on 21 Mar 2016, 09:02.
Last edited by stonecold on 02 Apr 2016, 12:02, edited 1 time in total.
Manager
Manager
avatar
Joined: 01 Mar 2014
Posts: 107
Schools: Tepper '18
Re: If n divided by 7 has a remainder of 2, what is the remainder when 3  [#permalink]

Show Tags

New post 02 Apr 2016, 11:20
Chiragjordan wrote:
As per question => N=7P+2 for some integer p
hence 3N => &Q + 6 => remainder => 6 for some integer Q
Alternatively => N=2 > 3N=> 6 => 6 divided by 7 will leave a remainder 6
hence E
I hope it helps.
Peace Out ..
NO KUDOS NEEDED :)


Is it ok to multiply the entire equation by 3, like you did. I plugged in the values and got the right answer because was not sure of the multiplication approach. Can this be used a s a rule?
Current Student
User avatar
D
Joined: 12 Aug 2015
Posts: 2550
Schools: Boston U '20 (M)
GRE 1: Q169 V154
GMAT ToolKit User
Re: If n divided by 7 has a remainder of 2, what is the remainder when 3  [#permalink]

Show Tags

New post 02 Apr 2016, 11:28
MeghaP wrote:
Chiragjordan wrote:
As per question => N=7P+2 for some integer p
hence 3N => &Q + 6 => remainder => 6 for some integer Q
Alternatively => N=2 > 3N=> 6 => 6 divided by 7 will leave a remainder 6
hence E
I hope it helps.
Peace Out ..
NO KUDOS NEEDED :)


Is it ok to multiply the entire equation by 3, like you did. I plugged in the values and got the right answer because was not sure of the multiplication approach. Can this be used a s a rule?


It is completely Fine to multiply the equation by any integer as long as it is not zero.
here since it is a P.S question you can plug in the values to.
However by using the basic mathematical logic => it can be done in a few seconds.
Now your approach is absolutely fine ; Although i would recommend using the above technique so that you become more familiar with the concept of remainders.
During the exam =>Use the approach that you feel is the easiest .
Feel free to ask any more Questions
Peace Out
S.C.S.A



If you feel I helped Go tap that lil Kudos button
_________________
Manager
Manager
avatar
Joined: 01 Mar 2014
Posts: 107
Schools: Tepper '18
Re: If n divided by 7 has a remainder of 2, what is the remainder when 3  [#permalink]

Show Tags

New post 02 Apr 2016, 11:37
Chiragjordan wrote:
MeghaP wrote:
Chiragjordan wrote:
As per question => N=7P+2 for some integer p
hence 3N => &Q + 6 => remainder => 6 for some integer Q
Alternatively => N=2 > 3N=> 6 => 6 divided by 7 will leave a remainder 6
hence E
I hope it helps.
Peace Out ..
NO KUDOS NEEDED :)


Is it ok to multiply the entire equation by 3, like you did. I plugged in the values and got the right answer because was not sure of the multiplication approach. Can this be used a s a rule?


It is completely Fine to multiply the equation by any integer as long as it is not zero.
here since it is a P.S question you can plug in the values to.
However by using the basic mathematical logic => it can be done in a few seconds.
Now your approach is absolutely fine ; Although i would recommend using the above technique so that you become more familiar with the concept of remainders.
During the exam =>Use the approach that you feel is the easiest .
Feel free to ask any more Questions
Peace Out
S.C.S.A



If you feel I helped Go tap that lil Kudos button


N=7P+2, Multiply by 3 -> 3N = 21Q + 6
Is this correct? I ask because you put & instead of 21. not sure if that is a typo?
Thanks
Current Student
User avatar
D
Joined: 12 Aug 2015
Posts: 2550
Schools: Boston U '20 (M)
GRE 1: Q169 V154
GMAT ToolKit User
Re: If n divided by 7 has a remainder of 2, what is the remainder when 3  [#permalink]

Show Tags

New post 02 Apr 2016, 12:02
Intern
Intern
avatar
B
Joined: 01 May 2017
Posts: 12
Re: If n divided by 7 has a remainder of 2, what is the remainder when 3  [#permalink]

Show Tags

New post 03 Jun 2017, 03:31
What is the level of these question ?
Board of Directors
User avatar
D
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4834
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User
Re: If n divided by 7 has a remainder of 2, what is the remainder when 3  [#permalink]

Show Tags

New post 03 Jun 2017, 09:42
Bunuel wrote:
If n divided by 7 has a remainder of 2, what is the remainder when 3 times n is divided by 7?

A. 1
B. 2
C. 3
D. 5
E. 6


Least possible value of n = 2
Quote:
what is the remainder when 3 times n is divided by 7

Thus, the remainder will be 6

Hence, answer will be (E) 6

_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1217
If n divided by 7 has a remainder of 2, what is the remainder when 3  [#permalink]

Show Tags

New post 03 Jun 2017, 10:28
Bunuel wrote:
If n divided by 7 has a remainder of 2, what is the remainder when 3 times n is divided by 7?

A. 1
B. 2
C. 3
D. 5
E. 6


let n=2
if 2/7 gives a remainder of 2,
then (2*3)/7 gives a remainder of 6
E
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15716
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: If n divided by 7 has a remainder of 2, what is the remainder when 3  [#permalink]

Show Tags

New post 01 Dec 2019, 15:33
Hi All,

We're told that when N is divided by 7, the remainder is 2. We're asked for the remainder when 3N is divided by 7. This question can be solved rather easily by TESTing VALUES.

N can actually be lots of different values, so I'll list out the first several: N/7 = __ r 2...... N = 2, 9, 16, 23, 30, etc.

IF.... N=9...
3(9)/7 = 27/7 = 3 r 6

So the remainder is 6.

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________
Contact Rich at: Rich.C@empowergmat.com
Image


The Course Used By GMAT Club Moderators To Earn 750+

souvik101990 Score: 760 Q50 V42 ★★★★★
ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★
GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 12 Sep 2015
Posts: 4145
Location: Canada
Re: If n divided by 7 has a remainder of 2, what is the remainder when 3  [#permalink]

Show Tags

New post 06 Dec 2019, 08:13
Top Contributor
Bunuel wrote:
If n divided by 7 has a remainder of 2, what is the remainder when 3 times n is divided by 7?

A. 1
B. 2
C. 3
D. 5
E. 6


----ASIDE-------------------------
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.
-----------------------------

In this case we are told that n divided by 7 leaves a remainder of 2
So the possible values of n are: 2, 9, 16, 23, etc....

So let's say n equals 2
The question becomes "What is the remainder when 3 times 2 is divided by 7?"
In other words, "What is the remainder when 6 is divided by 7?"
7 divides into 6 zero times, leaving a remainder of 6

Answer: E


Cheers,
Brent

RELATED VIDEO FROM MY COURSE

_________________
Test confidently with gmatprepnow.com
Image
SVP
SVP
User avatar
D
Joined: 03 Jun 2019
Posts: 1884
Location: India
Premium Member Reviews Badge CAT Tests
Re: If n divided by 7 has a remainder of 2, what is the remainder when 3  [#permalink]

Show Tags

New post 06 Dec 2019, 10:23
Bunuel wrote:
If n divided by 7 has a remainder of 2, what is the remainder when 3 times n is divided by 7?

A. 1
B. 2
C. 3
D. 5
E. 6


n= 7x+2
3n = 21x + 6

IMO E

Posted from my mobile device
Target Test Prep Representative
User avatar
V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8692
Location: United States (CA)
Re: If n divided by 7 has a remainder of 2, what is the remainder when 3  [#permalink]

Show Tags

New post 08 Dec 2019, 20:21
Bunuel wrote:
If n divided by 7 has a remainder of 2, what is the remainder when 3 times n is divided by 7?

A. 1
B. 2
C. 3
D. 5
E. 6


We can let n = 2. Thus:

(3 x 2)/7 = 6/7 = 0 remainder 6.

Answer: E
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Bot
Re: If n divided by 7 has a remainder of 2, what is the remainder when 3   [#permalink] 08 Dec 2019, 20:21
Display posts from previous: Sort by

If n divided by 7 has a remainder of 2, what is the remainder when 3

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





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