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

It is currently 21 Nov 2018, 02:01

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)
  • Free lesson on number properties

     November 23, 2018

     November 23, 2018

     10:00 PM PST

     11:00 PM PST

    Practice the one most important Quant section - Integer properties, and rapidly improve your skills.

If n is the greatest integer such that 6^n is a divisor of 86,420, the

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

Hide Tags

CEO
CEO
User avatar
D
Joined: 11 Sep 2015
Posts: 3130
Location: Canada
If n is the greatest integer such that 6^n is a divisor of 86,420, the  [#permalink]

Show Tags

New post 26 Aug 2016, 11:51
Top Contributor
7
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

71% (01:16) correct 29% (01:55) wrong based on 165 sessions

HideShow timer Statistics

If n is the greatest integer such that \(6^n\)is a divisor of 86,420, then \(2^n - n^2\) =
A) 0
B) 1
C) 7
D) 28
E) 79


_________________

Test confidently with gmatprepnow.com
Image

Manager
Manager
avatar
Joined: 04 Jan 2014
Posts: 118
GMAT 1: 660 Q48 V32
GMAT 2: 630 Q48 V28
GMAT 3: 680 Q48 V35
Re: If n is the greatest integer such that 6^n is a divisor of 86,420, the  [#permalink]

Show Tags

New post 26 Aug 2016, 18:37
1
2
86420 is divisible by 2 but not by 3. There is only one possibility for 6^n to be a factor of 86420:

If n = 0, 6^n = 6^0 = 1
1 is a factor of every integer.

Plugging n = 0 in the formula:

2^n - n^2
= 2^0 - 0^2
= 1 - 0
= 1

Answer (B).
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50727
Re: If n is the greatest integer such that 6^n is a divisor of 86,420, the  [#permalink]

Show Tags

New post 27 Aug 2016, 01:17
GMATPrepNow wrote:
If n is the greatest integer such that \(6^n\)is a divisor of 86,420, then \(2^n - n^2\) =
A) 0
B) 1
C) 7
D) 28
E) 79



Similar question to practice: if-n-is-a-non-negative-integer-such-that-6-n-is-a-divisor-of-84885.html
_________________

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

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 8870
Premium Member
Re: If n is the greatest integer such that 6^n is a divisor of 86,420, the  [#permalink]

Show Tags

New post 27 Oct 2018, 06:48
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: If n is the greatest integer such that 6^n is a divisor of 86,420, the &nbs [#permalink] 27 Oct 2018, 06:48
Display posts from previous: Sort by

If n is the greatest integer such that 6^n is a divisor of 86,420, the

  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®.