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

It is currently 15 Oct 2019, 04:32

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 the remainder is 7 when positive integer n is divided by

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

Hide Tags

Find Similar Topics 
Manager
Manager
avatar
Joined: 31 Oct 2011
Posts: 213
If the remainder is 7 when positive integer n is divided by  [#permalink]

Show Tags

New post 06 Mar 2012, 23:28
3
17
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

89% (00:50) correct 11% (01:10) wrong based on 642 sessions

HideShow timer Statistics

If the remainder is 7 when positive integer n is divided by 18, what is the remainder when n is divided by 6?

A. 0
B. 1
C. 2
D. 3
E. 4
Most Helpful Expert Reply
Veritas Prep GMAT Instructor
User avatar
V
Joined: 16 Oct 2010
Posts: 9701
Location: Pune, India
Re: If the remainder is 7 when positive integer n is divided by  [#permalink]

Show Tags

New post 08 Mar 2012, 05:39
27
7
eybrj2 wrote:
If the remainder is 7 when positive integer n is divided by 18, what is the remainder when n is divided by 6?

A. 0
B. 1
C. 2
D. 3
E. 4


Answer in less than 10 secs once you understand the theory of divisibility and remainders. Check out the theory on this link and then read the explanation given below:
http://www.veritasprep.com/blog/2011/04 ... unraveled/

When you divide by 6, you further divide the groups of 18 in 3 groups. The last group of 7 will form another group of 6 and you will have 1 leftover. Answer should be (B)
_________________
Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
Most Helpful Community Reply
Intern
Intern
User avatar
Joined: 20 Feb 2012
Posts: 28
Re: If the remainder is 7 when positive integer n is divided by  [#permalink]

Show Tags

New post 13 Mar 2012, 13:58
5
1
4
B) by taking numbers we can solve this easily

multiples of 18 are 18,36,54....etc

so to get a remainder of 7 we add 7 to multiples so the integer may be 25,43,61..etc

so if we divide these numbers with 6.. remainder is 1..
General Discussion
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58327
Re: PT #11 PS 3 Q 11  [#permalink]

Show Tags

New post 07 Mar 2012, 01:02
8
9
eybrj2 wrote:
If the remainder is 7 when positive integer n is divided by 18, what is the remainder when n is divided by 6?

A. 0
B. 1
C. 2
D. 3
E. 4


When positive integer n is dived by 18 the remainder is 7: \(n=18q+7=(18q+6)+1=6(3q+1)+1\) --> since first term \(6(3q+1)\) is divisible by 6 then the remainder will only be from the second term 1 --> 1 divided by 6 yields remainder of 1.

Answer: B.
_________________
Senior Manager
Senior Manager
User avatar
Joined: 23 Oct 2010
Posts: 324
Location: Azerbaijan
Concentration: Finance
Schools: HEC '15 (A)
GMAT 1: 690 Q47 V38
GMAT ToolKit User
Re: If the remainder is 7 when positive integer n is divided by  [#permalink]

Show Tags

New post 14 Mar 2012, 02:07
3
1
the remainder is 7 when positive integer n is divided by 18
it means that n could be 7.

7/6; remainder=1
_________________
Happy are those who dream dreams and are ready to pay the price to make them come true

I am still on all gmat forums. msg me if you want to ask me smth
Intern
Intern
avatar
Joined: 31 Aug 2013
Posts: 12
Re: If the remainder is 7 when positive integer n is divided by  [#permalink]

Show Tags

New post 17 Nov 2013, 13:06
2
If the remainder is 7 when positive integer n is divided by 18, what is the remainder when n is divided by 6?

A. 0
B. 1
C. 2
D. 3
E. 4

According to the question,
Assume x is quotient here,

n=18x+7 ----------(1)
and n=16x+ ?

We can also write equation (1) as:
n=(18x+6)+1.

ie 6(3x+1)+1 ie the first term is perfectly divisible by 6.
So,the remainder left is 1.
So,answer (B) is right choice.
Intern
Intern
avatar
Joined: 02 Jul 2013
Posts: 1
Concentration: Human Resources, General Management
GMAT Date: 08-14-2014
GMAT ToolKit User
Re: If the remainder is 7 when positive integer n is divided by  [#permalink]

Show Tags

New post 13 Jul 2014, 04:06
what if the question is reversed, example if 23 is the remainder when n is divided by 36, what is the remainder when n is divided by 72?
Veritas Prep GMAT Instructor
User avatar
V
Joined: 16 Oct 2010
Posts: 9701
Location: Pune, India
Re: If the remainder is 7 when positive integer n is divided by  [#permalink]

Show Tags

New post 13 Jul 2014, 20:16
3
2
Ritikadhir wrote:
what if the question is reversed, example if 23 is the remainder when n is divided by 36, what is the remainder when n is divided by 72?


When you divide n by 36, you have groups of 36 balls each and 23 balls leftover. If you want to divide by 72 now, you will join two groups of 36 to make groups of 72. You don't know whether you have even number of groups or odd number of groups of 36.
If the number of groups of 36 is even (quotient is even), you will be able to pair them all up to make groups of 72 such that remainder is 23 only.
If the number of groups of 36 is odd (quotient is odd), you will not be able to pair them all up. One group will be leftover and the remainder will be 36+23 = 59.
_________________
Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
Director
Director
User avatar
B
Status: I don't stop when I'm Tired,I stop when I'm done
Joined: 11 May 2014
Posts: 526
Location: Bangladesh
Concentration: Finance, Leadership
GPA: 2.81
WE: Business Development (Real Estate)
Re: If the remainder is 7 when positive integer n is divided by  [#permalink]

Show Tags

New post 01 Sep 2015, 01:52
1
BANON wrote:
B) by taking numbers we can solve this easily

multiples of 18 are 18,36,54....etc

so to get a remainder of 7 we add 7 to multiples so the integer may be 25,43,61..etc

so if we divide these numbers with 6.. remainder is 1..



If numerator is smaller than Denominator then the numerator could be a remainder also...example 7/18(here 7 is remainder),6/15(here 6 is remainder)
_________________
Md. Abdur Rakib

Please Press +1 Kudos,If it helps
Sentence Correction-Collection of Ron Purewal's "elliptical construction/analogies" for SC Challenges
Board of Directors
User avatar
D
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4762
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User
If the remainder is 7 when positive integer n is divided by  [#permalink]

Show Tags

New post 05 Sep 2016, 12:17
2
eybrj2 wrote:
If the remainder is 7 when positive integer n is divided by 18


Let possible value of n = 25

Check 25/18 will have quotient as 1and remainder 7

eybrj2 wrote:
what is the remainder when n is divided by 6?


25/6 will have quotient as 4 and remainder 1

Hence answer will be (B)

_________________
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 )
Intern
Intern
avatar
B
Joined: 17 Dec 2016
Posts: 38
GMAT 1: 540 Q38 V26
Reviews Badge
Re: If the remainder is 7 when positive integer n is divided by  [#permalink]

Show Tags

New post 25 Jan 2017, 07:59
Abhishek009 wrote:
eybrj2 wrote:
If the remainder is 7 when positive integer n is divided by 18


Least possible value of n = 25

Check 25/18 will have quotient as 1and remainder 7

eybrj2 wrote:
what is the remainder when n is divided by 6?


25/6 will have quotient as 4 and remainder 1

Hence answer will be (B)



Thank you so much - why didn't I think earlier of simply Plugging-in?! :/
Intern
Intern
avatar
B
Joined: 17 Dec 2016
Posts: 38
GMAT 1: 540 Q38 V26
Reviews Badge
Re: If the remainder is 7 when positive integer n is divided by  [#permalink]

Show Tags

New post 25 Jan 2017, 08:01
Ritikadhir wrote:
what if the question is reversed, example if 23 is the remainder when n is divided by 36, what is the remainder when n is divided by 72?



n=36x+23
n=72y+r2

In how far is this question (despite different numbers) different from the stated example?
Manager
Manager
avatar
S
Joined: 08 Oct 2016
Posts: 201
Location: United States
Concentration: General Management, Finance
GPA: 2.9
WE: Engineering (Telecommunications)
Re: If the remainder is 7 when positive integer n is divided by  [#permalink]

Show Tags

New post 19 Feb 2017, 23:05
I think easiest way to tackle this question is to find least possible value of n which 25 for 18 to get remainder 7 then check 25/6 remainder will be 1
_________________
Got Q42,V17
Target#01 Q45,V20--April End
Intern
Intern
avatar
B
Joined: 14 Jan 2014
Posts: 15
Re: If the remainder is 7 when positive integer n is divided by  [#permalink]

Show Tags

New post 23 Sep 2017, 07:34
Hi,

I solved this in equation form, not sure if this is the right approach but it helped me.

n= 18q +7 --> n = 6(3q) +7

n = 6q1 + r

6(3q) +7 = 6q1 +r

6(3q-q1) = r - 7

LHS(Multiple of 6) = RHS(has to be multiple of 6)

only the value which satisfies this is r= 1.
Intern
Intern
avatar
B
Joined: 16 Jul 2015
Posts: 15
GMAT 1: 710 Q49 V38
Re: If the remainder is 7 when positive integer n is divided by  [#permalink]

Show Tags

New post 19 May 2018, 13:46
It says the remainder is 7

we know by divisibility that if x is divided by y with remainder z then the equation will be x= ky +z where k is an integer. taking k as zero

ie- if we divide 7/18 the remainder will be 7 and the value of k will be zero. so 7 is a number which will give the remainder of 7 when divided by 18.

if we change values of k we will get more such numbers such as (18+7), (2*18 +7)...

so if we divide 7/6 the remainder is 1 ... it will be valid for other numbers as well.
so the answer is r=1
IIMA, IIMC School Moderator
User avatar
V
Joined: 04 Sep 2016
Posts: 1366
Location: India
WE: Engineering (Other)
CAT Tests
Re: If the remainder is 7 when positive integer n is divided by  [#permalink]

Show Tags

New post 15 Jun 2018, 04:51
Bunuel niks18 gmatbusters pushpitkc GMATPrepNow

Quote:
If the remainder is 7 when positive integer n is divided by 18, what is the remainder when n is divided by 6?


I understood approach by Abhishek009 but if I want to use alternate basic approach of rebuilding the dividend,
why am I faltering:

D: dividend
d: divisor
r: remainder
q: integer quotient

D = (q)*d + r
n = 18q + 7 . . .(1)

Question: r = ? n = 6.

I ended up with far too many variables in the approach.
_________________
It's the journey that brings us happiness not the destination.

Feeling stressed, you are not alone!!
Retired Moderator
avatar
D
Joined: 25 Feb 2013
Posts: 1179
Location: India
GPA: 3.82
GMAT ToolKit User Reviews Badge
Re: If the remainder is 7 when positive integer n is divided by  [#permalink]

Show Tags

New post 15 Jun 2018, 05:01
1
adkikani wrote:
Bunuel niks18 gmatbusters pushpitkc GMATPrepNow

Quote:
If the remainder is 7 when positive integer n is divided by 18, what is the remainder when n is divided by 6?


I understood approach by Abhishek009 but if I want to use alternate basic approach of rebuilding the dividend,
why am I faltering:

D: dividend
d: divisor
r: remainder
q: integer quotient

D = (q)*d + r
n = 18q + 7 . . .(1)

Question: r = ? n = 6.

I ended up with far too many variables in the approach.


Hi adkikani,

you did everything right there but you stopped before the finish line.

\(n=18q+7=18q+6+1=6(3q+1)+1\)

so, \(\frac{n}{6}=\frac{6(3q+1)}{6}+\frac{1}{6}\). Clearly the remainder here is 1
Manager
Manager
avatar
S
Joined: 07 Feb 2017
Posts: 176
Re: If the remainder is 7 when positive integer n is divided by  [#permalink]

Show Tags

New post 15 Jun 2018, 15:16
n = 18a + 7
n/6 = 3a + 7/6
Answer B
Senior Manager
Senior Manager
avatar
P
Joined: 26 Jun 2017
Posts: 399
Location: Russian Federation
Concentration: General Management, Strategy
WE: Information Technology (Other)
Re: If the remainder is 7 when positive integer n is divided by  [#permalink]

Show Tags

New post 17 Jun 2018, 14:14
eybrj2 wrote:
If the remainder is 7 when positive integer n is divided by 18, what is the remainder when n is divided by 6?

A. 0
B. 1
C. 2
D. 3
E. 4


When the question is asked such way, it means that any number satisfying to condition "If the remainder is 7 when positive integer n is divided by 18"
will be good for checking.
25:18 - remainder will be 7
25:6 - remainder will be 1

B
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13155
Re: If the remainder is 7 when positive integer n is divided by  [#permalink]

Show Tags

New post 24 Jun 2019, 05:49
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 the remainder is 7 when positive integer n is divided by   [#permalink] 24 Jun 2019, 05:49
Display posts from previous: Sort by

If the remainder is 7 when positive integer n is divided by

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





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