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

It is currently 18 Nov 2018, 23:20

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
Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • How to QUICKLY Solve GMAT Questions - GMAT Club Chat

     November 20, 2018

     November 20, 2018

     09:00 AM PST

     10:00 AM PST

    The reward for signing up with the registration form and attending the chat is: 6 free examPAL quizzes to practice your new skills after the chat.
  • The winning strategy for 700+ on the GMAT

     November 20, 2018

     November 20, 2018

     06:00 PM EST

     07:00 PM EST

    What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.

When n is divided by 5, the remainder is 3, and when n is divided by

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

Hide Tags

Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 6524
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
When n is divided by 5, the remainder is 3, and when n is divided by  [#permalink]

Show Tags

New post 08 Dec 2017, 00:10
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

62% (01:27) correct 38% (02:03) wrong based on 87 sessions

HideShow timer Statistics

[GMAT math practice question]

When \(n\) is divided by \(5\), the remainder is \(3\), and when \(n\) is divided by \(6\), the remainder is \(3\). What is the remainder when the smallest possible integer value of n is divided by \(7\)?

A. \(0\)
B. \(1\)
C. \(2\)
D. \(3\)
E. \(4\)

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7037
Re: When n is divided by 5, the remainder is 3, and when n is divided by  [#permalink]

Show Tags

New post 08 Dec 2017, 00:27
MathRevolution wrote:
[GMAT math practice question]

When \(n\) is divided by \(5\), the remainder is \(3\), and when \(n\) is divided by \(6\), the remainder is \(3\). What is the remainder when the smallest possible integer value of n is divided by \(7\)?

A. \(0\)
B. \(1\)
C. \(2\)
D. \(3\)
E. \(4\)



since the remainder is same, 3, and the divisors, 6 & 5, both are greater than 3, the smallest INTEGER will be 0.
And whatever be the divisor > 3, the Remainder will always be 3

D
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Intern
Intern
avatar
B
Joined: 26 Mar 2017
Posts: 18
Location: India
Schools: Great Lakes '19
GMAT 1: 580 Q47 V23
GPA: 3.1
Re: When n is divided by 5, the remainder is 3, and when n is divided by  [#permalink]

Show Tags

New post 08 Dec 2017, 00:51
Answer is 3

If the options had answer 5, then it would have confused few ppl by taking 33 as n value ( missing to consider 0 )


Sent from my iPhone using GMAT Club Forum
VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1116
Re: When n is divided by 5, the remainder is 3, and when n is divided by  [#permalink]

Show Tags

New post 08 Dec 2017, 09:28
MathRevolution wrote:
[GMAT math practice question]

When \(n\) is divided by \(5\), the remainder is \(3\), and when \(n\) is divided by \(6\), the remainder is \(3\). What is the remainder when the smallest possible integer value of n is divided by \(7\)?

A. \(0\)
B. \(1\)
C. \(2\)
D. \(3\)
E. \(4\)


n=5q+3
n=6p+3
q/p=6/5
n=33
33-(6*5)=3=least integer value of n
3/7 leaves a remainder of 3
D
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 6524
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
When n is divided by 5, the remainder is 3, and when n is divided by  [#permalink]

Show Tags

New post Updated on: 10 Dec 2017, 22:25
1
1
=>

Plugging in numbers is the recommended approach for remainder questions.
The integers that have a remainder of \(3\) when they are divided by \(5\) are \(3, 8, 13, 18, 23, 28, 33, 38, …\)
The integers that have a remainder of \(3\) when they are divided by \(6\) are \(3, 9, 15, 21, 27, 33, 39, …\)
The smallest integer \(n\) that occurs in both lists is \(3\).
Since \(3 = 7 ∙0 + 3\), this value of n has a remainder of \(3\) when it is divided by \(7\).
Therefore, the answer is D.

Answer : D
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"


Originally posted by MathRevolution on 10 Dec 2017, 17:15.
Last edited by MathRevolution on 10 Dec 2017, 22:25, edited 2 times in total.
Intern
Intern
avatar
B
Joined: 23 Jan 2016
Posts: 1
Re: When n is divided by 5, the remainder is 3, and when n is divided by  [#permalink]

Show Tags

New post 10 Dec 2017, 18:31
MathRevolution wrote:
=>

Plugging in numbers is the recommended approach for remainder questions.
The integers that have a remainder of \(3\) when they are divided by \(5\) are \(3, 8, 13, 18, 23, 28, 33, 38, …\)
The integers that have a remainder of \(3\) when they are divided by \(6\) are \(3, 9, 15, 21, 27, 33, 39, 38, …\)
The smallest integer \(n\) that occurs in both lists is \(38\).
Since \(38 = 7 ∙5 + 3\), this value of n has a remainder of \(3\) when it is divided by \(7\).
Therefore, the answer is D.

Answer : D



Is it a right solution? As per above, the smallest integer will be 33 not 38.
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 6524
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
Re: When n is divided by 5, the remainder is 3, and when n is divided by  [#permalink]

Show Tags

New post 10 Dec 2017, 22:26
saleemc wrote:
MathRevolution wrote:
=>

Plugging in numbers is the recommended approach for remainder questions.
The integers that have a remainder of \(3\) when they are divided by \(5\) are \(3, 8, 13, 18, 23, 28, 33, 38, …\)
The integers that have a remainder of \(3\) when they are divided by \(6\) are \(3, 9, 15, 21, 27, 33, 39, 38, …\)
The smallest integer \(n\) that occurs in both lists is \(38\).
Since \(38 = 7 ∙5 + 3\), this value of n has a remainder of \(3\) when it is divided by \(7\).
Therefore, the answer is D.

Answer : D



Is it a right solution? As per above, the smallest integer will be 33 not 38.


The solution is fixed. The smallest integer is 3.
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

GMAT Club Bot
Re: When n is divided by 5, the remainder is 3, and when n is divided by &nbs [#permalink] 10 Dec 2017, 22:26
Display posts from previous: Sort by

When n is divided by 5, the remainder is 3, and when n is divided by

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


Copyright

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®.