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

It is currently 21 Nov 2018, 12:17

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
  • All GMAT Club Tests are Free and open on November 22nd in celebration of Thanksgiving Day!

     November 22, 2018

     November 22, 2018

     10:00 PM PST

     11:00 PM PST

    Mark your calendars - All GMAT Club Tests are free and open November 22nd to celebrate Thanksgiving Day! Access will be available from 0:01 AM to 11:59 PM, Pacific Time (USA)
  • Key Strategies to Master GMAT SC

     November 24, 2018

     November 24, 2018

     07:00 AM PST

     09:00 AM PST

    Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

If n is an integer, is (29 - n)/n an integer?

  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: 50730
If n is an integer, is (29 - n)/n an integer?  [#permalink]

Show Tags

New post 10 Dec 2017, 00:06
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

54% (01:28) correct 46% (01:36) wrong based on 33 sessions

HideShow timer Statistics

PS Forum Moderator
avatar
D
Joined: 25 Feb 2013
Posts: 1217
Location: India
GPA: 3.82
GMAT ToolKit User Premium Member Reviews Badge
If n is an integer, is (29 - n)/n an integer?  [#permalink]

Show Tags

New post 10 Dec 2017, 05:34
Bunuel wrote:
If n is an integer, is (29 - n)/n an integer?

(1) n is prime.
(2) n is an odd factor of 116.


\(\frac{(29-n)}{n}=\frac{29}{n}-\frac{n}{n}=\frac{29}{n}-1\)

so we need to know whether \(n=29\) or \(1\)

Statement 1: \(n\) can be any prime number. Insufficient

Statement 2: factors of \(116 = 1*2*2*29\). as \(1\) & \(29\) are the only odd factors so \(n=1\) or \(29\). Sufficient

Option B
Manager
Manager
avatar
B
Joined: 24 Nov 2016
Posts: 152
Re: If n is an integer, is (29 - n)/n an integer?  [#permalink]

Show Tags

New post 10 Dec 2017, 05:54
Bunuel wrote:
If n is an integer, is (29 - n)/n an integer?

(1) n is prime.
(2) n is an odd factor of 116.


(1) n is prime. If n = 2, \(\frac{(29 - 2)}{2}\) = not integer. If n = 29, \(\frac{(29 - 29)}{29}\) = integer, not suf.

(2) n is an odd factor of 116. The prime factors of 116 are \(2^2*29\), and 116 has 6 factors of which only {1,29} are odd.

If n = 1, \(\frac{(29 - 1)}{1}\) = integer, and if n = 29, \(\frac{(29 - 29)}{29}\) = integer, sufficient.

(B) is the answer.
Manager
Manager
avatar
B
Joined: 14 Jun 2016
Posts: 67
Location: India
GMAT 1: 610 Q49 V21
WE: Engineering (Manufacturing)
Reviews Badge
If n is an integer, is (29 - n)/n an integer?  [#permalink]

Show Tags

New post 10 Dec 2017, 06:44
Bunuel wrote:
If n is an integer, is (29 - n)/n an integer?

(1) n is prime.
(2) n is an odd factor of 116.


Actually we need to find out whether 29/n is an integer.

1. n can be any prime number - so A is insufficient.
2. The odd factors of 116 are 1 & 29- hence the required expression comes out to be an integer in each case.

So B is the answer.
_________________

If you appreciate my post then please click +1Kudos :)

GMAT Club Bot
If n is an integer, is (29 - n)/n an integer? &nbs [#permalink] 10 Dec 2017, 06:44
Display posts from previous: Sort by

If n is an integer, is (29 - n)/n an integer?

  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®.