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

It is currently 21 Oct 2018, 09:52

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 is an integer, is (100-n)/n an integer?

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

Hide Tags

Senior CR Moderator
User avatar
V
Status: Long way to go!
Joined: 10 Oct 2016
Posts: 1381
Location: Viet Nam
GMAT ToolKit User Premium Member
If n is an integer, is (100-n)/n an integer?  [#permalink]

Show Tags

New post 04 Feb 2018, 03:13
1
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

92% (00:59) correct 8% (00:54) wrong based on 54 sessions

HideShow timer Statistics

Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3191
Location: India
GPA: 3.12
Premium Member CAT Tests
If n is an integer, is (100-n)/n an integer?  [#permalink]

Show Tags

New post 04 Feb 2018, 04:36
broall wrote:
If n is an integer, is (100-n)/n an integer?

(1) n > 4
(2) n^2 = 25



1. If n is greater than 4, it could be 5 or 6

If n=5, \(\frac{100-n}{n} = \frac{95}{5} = 19\)

If n=6, \(\frac{100-n}{n} = \frac{94}{6} = \frac{47}{3}\) which is not an integer (Insufficient)

2. If n^2 = 25, n can be 5 or -5

If n=5, \(\frac{100-n}{n} = \frac{95}{5} = 19\)

If n=-5, \(\frac{100-n}{n} = \frac{105}{-5} = -21\) (Sufficient - Option B)
_________________

You've got what it takes, but it will take everything you've got

DS Forum Moderator
avatar
P
Joined: 22 Aug 2013
Posts: 1348
Location: India
Premium Member
Re: If n is an integer, is (100-n)/n an integer?  [#permalink]

Show Tags

New post 04 Feb 2018, 23:10
broall wrote:
If n is an integer, is (100-n)/n an integer?

(1) n > 4
(2) n^2 = 25


(100-n)/n can also be written as = 100/n - n/n = 100/n - 1
1 is an integer, so the above will be an integer only if 100 is divisible by n.

(1) n > 4, but we dont know whether n is a factor of 100 or not. If n=5 or say 10, then this will be an integer. But if n = 6 or 7 say, then not an integer.
So not sufficient.

(2) n^2 = 25 means that n = 5 or n = -5.
100/5 will give an integer (20) and 100/-5 will also give an integer (-20). In either case, 100/n - 1 will be an integer. So this is sufficient.

Hence B answer
GMAT Club Bot
Re: If n is an integer, is (100-n)/n an integer? &nbs [#permalink] 04 Feb 2018, 23:10
Display posts from previous: Sort by

If n is an integer, is (100-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®.