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

It is currently 13 Oct 2019, 16:58

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 n is an integer, what is the least value of n such that 1/3^n < 0.0

  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: 58335
If n is an integer, what is the least value of n such that 1/3^n < 0.0  [#permalink]

Show Tags

New post Updated on: 06 Jul 2019, 23:29
1
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

58% (00:59) correct 42% (00:54) wrong based on 91 sessions

HideShow timer Statistics


Originally posted by Bunuel on 24 Jun 2017, 07:36.
Last edited by SajjadAhmad on 06 Jul 2019, 23:29, edited 1 time in total.
Added Source
Current Student
User avatar
P
Joined: 18 Aug 2016
Posts: 612
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
GMAT ToolKit User Reviews Badge
Re: If n is an integer, what is the least value of n such that 1/3^n < 0.0  [#permalink]

Show Tags

New post 24 Jun 2017, 07:50
Bunuel wrote:
If n is an integer, what is the least value of n such that \(\frac{1}{3^n} < 0.01\) ?

(A) 2
(B) 3
(C) 4
(D) 5
(E) 6


1/3^n = 1/100

for n=4 1/3^n will be 1/81
for n=5 it will be 1/243
Least value of n will be 5 for which equation holds
hence D
_________________
We must try to achieve the best within us


Thanks
Luckisnoexcuse
Intern
Intern
avatar
B
Joined: 13 Dec 2016
Posts: 6
Re: If n is an integer, what is the least value of n such that 1/3^n < 0.0  [#permalink]

Show Tags

New post 25 Jun 2017, 13:25
1
to make 1/3^n < 1/100 we will take a value of 3^n that is more than 100

3^4 = 81 not sufficient
3^5 = 243 sufficient

so n=5 .. answer D
VP
VP
User avatar
D
Status: Learning
Joined: 20 Dec 2015
Posts: 1002
Location: India
Concentration: Operations, Marketing
GMAT 1: 670 Q48 V36
GRE 1: Q157 V157
GPA: 3.4
WE: Engineering (Manufacturing)
Reviews Badge
Re: If n is an integer, what is the least value of n such that 1/3^n < 0.0  [#permalink]

Show Tags

New post 26 Jun 2017, 00:15
Imo D
When n=5 we have 3^5 = 243
1/243=0.00411 which is less than 0.01
_________________
Please give kudos if you find my answers useful
Director
Director
User avatar
V
Joined: 04 Dec 2015
Posts: 745
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)
GMAT ToolKit User
Re: If n is an integer, what is the least value of n such that 1/3^n < 0.0  [#permalink]

Show Tags

New post 26 Jun 2017, 00:28
2
Bunuel wrote:
If n is an integer, what is the least value of n such that \(\frac{1}{3^n} < 0.01\) ?

(A) 2
(B) 3
(C) 4
(D) 5
(E) 6


\(\frac{1}{3^n} < 0.01\)

\(3^n >\frac{1}{0.01}\)

\(3^n >\frac{1}{10^{(-2)}}\)

\(3^n > 10^{2}\)

\(3^n > 100\)

\(3^4 = 81\) , \(3^5 = 243\)

\(3^5 > 100\)

Since \(3^n\) should be greater than \(100\). Therefore \(3 ^n = 3^5. n = 5\) . Answer (D)...
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13076
Re: If n is an integer, what is the least value of n such that 1/3^n < 0.0  [#permalink]

Show Tags

New post 18 Jan 2019, 08:30
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 Club Bot
Re: If n is an integer, what is the least value of n such that 1/3^n < 0.0   [#permalink] 18 Jan 2019, 08:30
Display posts from previous: Sort by

If n is an integer, what is the least value of n such that 1/3^n < 0.0

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





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