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

 It is currently 20 Jan 2019, 03:19

### 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

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

## Events & Promotions

###### Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### FREE Quant Workshop by e-GMAT!

January 20, 2019

January 20, 2019

07:00 AM PST

07:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.
• ### GMAT Club Tests are Free & Open for Martin Luther King Jr.'s Birthday!

January 21, 2019

January 21, 2019

10:00 PM PST

11:00 PM PST

Mark your calendars - All GMAT Club Tests are free and open January 21st for celebrate Martin Luther King Jr.'s Birthday.

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

Author Message
TAGS:

### Hide Tags

Senior CR Moderator
Status: Long way to go!
Joined: 10 Oct 2016
Posts: 1373
Location: Viet Nam
If n is an integer, is (100-n)/n an integer?  [#permalink]

### Show Tags

Updated on: 31 Oct 2018, 08:42
2
00:00

Difficulty:

5% (low)

Question Stats:

94% (00:36) correct 6% (00:41) wrong based on 67 sessions

### HideShow timer Statistics

If n is an integer, is $$\frac{(100-n)}{n}$$ an integer?

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

_________________

Originally posted by broall on 04 Feb 2018, 02:13.
Last edited by carcass on 31 Oct 2018, 08:42, edited 1 time in total.
Edited by Carcass
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3334
Location: India
GPA: 3.12
Re: If n is an integer, is (100-n)/n an integer?  [#permalink]

### Show Tags

04 Feb 2018, 03:36
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
Joined: 21 Aug 2013
Posts: 1432
Location: India
Re: If n is an integer, is (100-n)/n an integer?  [#permalink]

### Show Tags

04 Feb 2018, 22:10
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.

Re: If n is an integer, is (100-n)/n an integer? &nbs [#permalink] 04 Feb 2018, 22:10
Display posts from previous: Sort by