Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 23 May 2017, 15:09

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 June
Open Detailed Calendar

If n is a non-negative integer such that 12^n is a divisor

Author Message
Intern
Joined: 09 Dec 2007
Posts: 29
Location: China
WE: Investment Banking (Investment Banking)
Followers: 0

Kudos [?]: 9 [0], given: 1

If n is a non-negative integer such that 12^n is a divisor [#permalink]

Show Tags

14 May 2008, 10:42
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If n is a non-negative integer such that 12^n is a divisor of 3,176,793, what is the value of n^12 – 12^n ?
- 11
- 1
0
1
11

Why oh Why does n equals to zero if 12^n cannot be divided by 3,176,793? Are u allowed to assume n = 0? please explain!

Intern
Joined: 26 Feb 2008
Posts: 8
Followers: 0

Kudos [?]: 1 [0], given: 0

Re: PS - Exponents and Roots [#permalink]

Show Tags

14 May 2008, 10:49
3,176,793 is NOT divisible by 12
since remainder is 3

so, n has to be 0

when u plug 0 in n^12 – 12^n,

you get 0-1 = -1
Senior Manager
Joined: 19 Apr 2008
Posts: 318
Followers: 3

Kudos [?]: 84 [0], given: 0

Re: PS - Exponents and Roots [#permalink]

Show Tags

14 May 2008, 11:01
rw6183 wrote:
If n is a non-negative integer such that 12^n is a divisor of 3,176,793, what is the value of n^12 – 12^n ?
- 11
- 1
0
1
11

Why oh Why does n equals to zero if 12^n cannot be divided by 3,176,793? Are u allowed to assume n = 0? please explain!

zero is an even integer but it is neighther positive nor negative

so in this case you can assume n=0 . since it is given n is a non-negative integer . With the condition n=positive you can not assume n=0 .
Director
Joined: 14 Jan 2007
Posts: 775
Followers: 2

Kudos [?]: 148 [0], given: 0

Re: PS - Exponents and Roots [#permalink]

Show Tags

14 May 2008, 16:03
As 3,176,793 is an odd number, it will not be divisible by 2. Hence not by 12.
so n=0
n^12 - 12^n = 0-1 = -1
Re: PS - Exponents and Roots   [#permalink] 14 May 2008, 16:03
Display posts from previous: Sort by