Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 20 Jul 2019, 11:05

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 5^n > 10,000, and n is an integer, the smallest possible value of n

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56304
If 5^n > 10,000, and n is an integer, the smallest possible value of n  [#permalink]

Show Tags

New post 24 Dec 2018, 23:38
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

58% (01:02) correct 42% (00:58) wrong based on 108 sessions

HideShow timer Statistics


GMAT Club Legend
GMAT Club Legend
User avatar
D
Joined: 18 Aug 2017
Posts: 4252
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
If 5^n > 10,000, and n is an integer, the smallest possible value of n  [#permalink]

Show Tags

New post Updated on: 06 Jan 2019, 06:56
Bunuel wrote:
If 5^n > 10,000, and n is an integer, the smallest possible value of n is


A. 4
B. 5
C. 6
D. 7
E. 8

5^n > 10,000,

10,000 = 5^4*2^4

so n has to be >5

IMO C 6
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.

Originally posted by Archit3110 on 25 Dec 2018, 08:08.
Last edited by Archit3110 on 06 Jan 2019, 06:56, edited 1 time in total.
Manager
Manager
avatar
S
Joined: 12 Dec 2017
Posts: 79
Location: India
Schools: Yale '19, GMBA '20, XLRI
GMAT 1: 660 Q46 V35
GPA: 3.8
Re: If 5^n > 10,000, and n is an integer, the smallest possible value of n  [#permalink]

Show Tags

New post 06 Jan 2019, 06:53
If 5^n > 10,000, and n is an integer, the smallest possible value of n is

10,000= (2*5)^4

5^4= 625
5^5= 3125
5^6= 15515

answer= 6
Manager
Manager
avatar
B
Joined: 01 May 2017
Posts: 82
Location: India
If 5^n > 10,000, and n is an integer, the smallest possible value of n  [#permalink]

Show Tags

New post 06 Jan 2019, 07:22
If \(5^n > 10,000\), and n is an integer, the smallest possible value of n is

\(10,000 = 5^4*2^4\)
\(2^4 = 16 >5 But 16 < 25 i.e., 5^2\)
implies 5^4 * 5^2 i.e., \(5* 5^4 < 16 * 5^4 < 25* 5^4\)

minimum value of n is 6
Option C is correct
GMAT Club Bot
If 5^n > 10,000, and n is an integer, the smallest possible value of n   [#permalink] 06 Jan 2019, 07:22
Display posts from previous: Sort by

If 5^n > 10,000, and n is an integer, the smallest possible value of n

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne