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

It is currently 16 Oct 2018, 20:08

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

Is 3^x greater than 100?

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49915
Is 3^x greater than 100?  [#permalink]

Show Tags

New post 23 Aug 2016, 02:45
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

76% (00:55) correct 24% (00:56) wrong based on 58 sessions

HideShow timer Statistics

Intern
Intern
avatar
Joined: 18 Aug 2013
Posts: 12
Re: Is 3^x greater than 100?  [#permalink]

Show Tags

New post 23 Aug 2016, 04:54
(1) 9x = 36 => x = 4

3^4 = 81 is NOT greater than 100 => Sufficient

(2) (1/3^x) > 0.01

(1/3^x) > (1/100) => 3^x < 100 => Sufficient

--> Option D
CEO
CEO
User avatar
D
Joined: 12 Sep 2015
Posts: 3000
Location: Canada
Re: Is 3^x greater than 100?  [#permalink]

Show Tags

New post 24 Sep 2018, 13:43
1
Top Contributor
Bunuel wrote:
Is 3^x greater than 100?

(1) 9x = 36
(2) 1/(3^x) > 0.01


Target question: Is 3^x greater than 100?

Statement 1: 9x = 36
This tells us that x = 4
Once we know the value of x, we can definitely determine whether 3^x is greater than 100
Are we going to waste any time evaluating 3^4? No!
Since we COULD answer the target question with certainty, statement 1 is SUFFICIENT

ASIDE: Spoiler alert: If x = 4, then 3^x = 3^4 = 81. So, the answer to the target question is NO, 3^x is NOT greater than 100

Statement 2: 1/(3^x) > 0.01
Since 3^x is POSITIVE for all values of x, we can safely multiply both sides of the inequality by 3^x
When we do so, we get: 1 > (0.01)(3^x)
Now multiply both sides by 100 to get: 100 > 3^x
o, the answer to the target question is NO, 3^x is NOT greater than 100
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: D

RELATED VIDEO FROM OUR COURSE

_________________

Brent Hanneson – GMATPrepNow.com
Image
Sign up for our free Question of the Day emails

GMAT Club Bot
Re: Is 3^x greater than 100? &nbs [#permalink] 24 Sep 2018, 13:43
Display posts from previous: Sort by

Is 3^x greater than 100?

  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®.