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

It is currently 16 Nov 2018, 19:27

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.

If n is a non-negative integer such that 6^n is a divisor of

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

Hide Tags

Senior Manager
Senior Manager
avatar
B
Joined: 31 Aug 2009
Posts: 386
Location: Sydney, Australia
If n is a non-negative integer such that 6^n is a divisor of  [#permalink]

Show Tags

New post Updated on: 06 Oct 2009, 14:24
2
20
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

70% (01:03) correct 30% (01:35) wrong based on 606 sessions

HideShow timer Statistics

If n is a non-negative integer such that 6^n is a divisor of 5,178,791, what is the value of n^6 – 6^n?

A. - 11
B. - 1
C. 0
D. 1
E. 11

Originally posted by yangsta8 on 06 Oct 2009, 02:46.
Last edited by yangsta8 on 06 Oct 2009, 14:24, edited 2 times in total.
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50619
If n is a non-negative integer such that 6^n is a divisor of  [#permalink]

Show Tags

New post 06 Oct 2009, 14:15
7
3
If n is a non-negative integer such that 6^n is a divisor of 5,178,791, what is the value of n^6 – 6^n?

A. - 11
B. - 1
C. 0
D. 1
E. 11


6^n is a divisor of 5,178,791 --> as far as n is non-negative integer (given) the only value of n is 0 (5,178,791 is not even, thus it can not be divided by 6 in any power but 0)

n = 0

0^6 - 6^0 = 0 - 1 = -1

Answer: B.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

General Discussion
Manager
Manager
User avatar
Joined: 20 Dec 2013
Posts: 123
Re: If n is a non-negative integer such that 6^n is a divisor of  [#permalink]

Show Tags

New post 19 Jul 2014, 01:10
1
yangsta8 wrote:
If n is a non-negative integer such that 6^n is a divisor of 5,178,791, what is the value of n^6 – 6^n?

A. - 11
B. - 1
C. 0
D. 1
E. 11


Let us say that n = 0 then 6^0 = 1 which is a divisor of any number.

Now the question is asking the value of 0^6 - 6^0 = -1
_________________

76000 Subscribers, 7 million minutes of learning delivered and 5.6 million video views

Perfect Scores
http://perfectscores.org
http://www.youtube.com/perfectscores

Intern
Intern
avatar
Joined: 02 Feb 2011
Posts: 38
Re: If n is a non-negative integer such that 6^n is a divisor of  [#permalink]

Show Tags

New post 14 Dec 2015, 02:47
Dear Bunuel/Others

When its 'non-negative' in the question ; dosent this mean '0' or other positive values?
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50619
Re: If n is a non-negative integer such that 6^n is a divisor of  [#permalink]

Show Tags

New post 14 Dec 2015, 03:51
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: If n is a non-negative integer such that 6^n is a divisor of  [#permalink]

Show Tags

New post 31 Aug 2017, 09:25
yangsta8 wrote:
If n is a non-negative integer such that 6^n is a divisor of 5,178,791, what is the value of n^6 – 6^n?

A. - 11
B. - 1
C. 0
D. 1
E. 11


Since 5,178,791 is odd, it is not divisible by 6^n (which is an even number), except when n = 0.

Therefore, 0^6 - 6^0 = 0 - 1 = -1.

Answer: B
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Manager
Manager
User avatar
B
Joined: 12 Dec 2016
Posts: 69
Re: If n is a non-negative integer such that 6^n is a divisor of  [#permalink]

Show Tags

New post 04 Oct 2017, 19:31
So the most important thing is to determine divisibility by 6.
_________________

Give me kudos and see what happens to your GMAT score :-)

Manager
Manager
avatar
B
Joined: 29 May 2017
Posts: 102
Location: Pakistan
Concentration: Social Entrepreneurship, Sustainability
Re: If n is a non-negative integer such that 6^n is a divisor of  [#permalink]

Show Tags

New post 07 Nov 2018, 23:54
JeffTargetTestPrep wrote:
yangsta8 wrote:
If n is a non-negative integer such that 6^n is a divisor of 5,178,791, what is the value of n^6 – 6^n?

A. - 11
B. - 1
C. 0
D. 1
E. 11


Since 5,178,791 is odd, it is not divisible by 6^n (which is an even number), except when n = 0.

Therefore, 0^6 - 6^0 = 0 - 1 = -1.

Answer: B


if this question had asked for the remainder, how would we calculate it?

regards
GMAT Club Bot
Re: If n is a non-negative integer such that 6^n is a divisor of &nbs [#permalink] 07 Nov 2018, 23:54
Display posts from previous: Sort by

If n is a non-negative integer such that 6^n is a divisor of

  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®.