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

It is currently 16 Nov 2018, 16:30

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
  • Free GMAT Strategy Webinar

     November 17, 2018

     November 17, 2018

     07:00 AM PST

     09:00 AM PST

    Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
  • GMATbuster's Weekly GMAT Quant Quiz # 9

     November 17, 2018

     November 17, 2018

     09:00 AM PST

     11:00 AM PST

    Join the Quiz Saturday November 17th, 9 AM PST. The Quiz will last approximately 2 hours. Make sure you are on time or you will be at a disadvantage.

What is the value of the positive integer n? What is the va

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

Hide Tags

Manager
Manager
avatar
Joined: 31 Oct 2011
Posts: 240
What is the value of the positive integer n? What is the va  [#permalink]

Show Tags

New post 18 Feb 2012, 00:55
2
3
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

76% (01:39) correct 24% (02:11) wrong based on 191 sessions

HideShow timer Statistics

What is the value of the positive integer n?

1) If 31, 32, and 33 are each divided by n, the reminders are 7, 0, and 1, respectively.

2) n is an even number.
Manager
Manager
User avatar
Status: Employed
Joined: 17 Nov 2011
Posts: 80
Location: Pakistan
Concentration: International Business, Marketing
GMAT 1: 720 Q49 V40
GPA: 3.2
WE: Business Development (Internet and New Media)
Re: PT #2 DS 12  [#permalink]

Show Tags

New post 18 Feb 2012, 01:24
2
2
Ok. Finally a simple question.

What is the value of the positive integer \(n\)?

Statement A: If \(31\), \(32\), and \(33\) are each divided by \(n\), the reminders are \(7\), \(0\), and \(1\), respectively.

Let's check \(31\) . Since remainder is \(7\), the number has to be bigger than \(7\).

Hence for \(31\) the positive integer could be \(8\), \(12\), or \(24\). So three possibilities so far.

Let's check \(32\) . Since remainder is \(0\), the number can be any fraction of \(32\) .

Let's check \(33\) . Since remainder is \(1\), the number can be 2, 4, 8, or any factor of \(32\) for that matter .

The only overlap is the number \(8\) so \(n\) must be \(8\) or to see it in a different light (and that is why i mentioned factors of 32 in the first instance), the only factor of \(32\) that fits the bill for \(31\) is \(8\). Hence Sufficient.

Statement 2: n is an even number. Can be any even number. Hence Insufficient.

Answer: A
_________________

"Nowadays, people know the price of everything, and the value of nothing." Oscar Wilde

Director
Director
avatar
Joined: 03 Aug 2012
Posts: 744
Concentration: General Management, General Management
GMAT 1: 630 Q47 V29
GMAT 2: 680 Q50 V32
GPA: 3.7
WE: Information Technology (Investment Banking)
Premium Member
Re: What is the value of the positive integer n? What is the va  [#permalink]

Show Tags

New post 11 Aug 2013, 08:23
Easiest I must say:

Remainders

31 - 7
32 - 0
33 - 1

REM(31/8) = 7
REM(32/8) = 0
REM(33/8) = 1

Hence (A) it is
Intern
Intern
avatar
Joined: 13 Jul 2016
Posts: 38
GMAT 1: 770 Q50 V44
GMAT ToolKit User
Re: What is the value of the positive integer n? What is the va  [#permalink]

Show Tags

New post 01 Nov 2016, 09:56
1
1
eybrj2 wrote:
What is the value of the positive integer n?

1) If 31, 32, and 33 are each divided by n, the reminders are 7, 0, and 1, respectively.

2) n is an even number.


The number n has to be greater than 7, since it leaves a remainder 7.

Now 31/n has remainder 7, so 31 is 7 greater than a multiple of n. => 31-7 = 24 is a multiple of n.
on similar lines 32 is a multiple of n.
The greatest number that can divide 24 and 32 is HCF(24,32) = 8
Hence the maximum possible value of n = 8, also since n > 7 so it is the only value.
therefore n = 8
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 8792
Premium Member
Re: What is the value of the positive integer n? What is the va  [#permalink]

Show Tags

New post 09 Dec 2017, 04:27
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: What is the value of the positive integer n? What is the va &nbs [#permalink] 09 Dec 2017, 04:27
Display posts from previous: Sort by

What is the value of the positive integer n? What is the va

  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®.