Last visit was: 19 Nov 2025, 09:25 It is currently 19 Nov 2025, 09:25
Home
GMAT
Messages
Tests
Schools
Events
Rewards
Chat
My Profile
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
User avatar
yezz
User avatar
Retired Moderator
Joined: 05 Jul 2006
Last visit: 26 Apr 2022
Posts: 833
Own Kudos:
1,661
Given Kudos: 49
Posts: 833
Kudos: 1,661
a and be are positive integers, Is a^b>10,000? 1) a+b = 21 Sep 2006, 11:21
Kudos
Add Kudos
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
N
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

History

Date
Time
Result
Not Attempted Yet
a and be are positive integers, Is a^b>10,000?

1) a+b = 20

2) b^a > 10,000

Can anyone solve this without plugging numbers



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
paddyboy
User avatar
Joined: 06 May 2006
Last visit: 27 Nov 2016
Posts: 387
Own Kudos:
79
Given Kudos: 2
Posts: 387
Kudos: 79
a and be are positive integers, Is a^b>10,000? 1) a+b = 21 Sep 2006, 13:20
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Is it C?

I think it may be done without plugging numbers thru some convoluted process involving logarithms... not sure though...
User avatar
rkatl
User avatar
Joined: 03 Jul 2006
Last visit: 17 Oct 2008
Posts: 128
Own Kudos:
316
Posts: 128
Kudos: 316
a and be are positive integers, Is a^b>10,000? 1) a+b = 21 Sep 2006, 20:14
Kudos
Add Kudos
Bookmarks
Bookmark this Post
It is 'E'

2^18 > 10,000, but 18 ^2 is <10000

11^9 > 10000 and 9^11 > 10000
User avatar
yezz
User avatar
Retired Moderator
Joined: 05 Jul 2006
Last visit: 26 Apr 2022
Posts: 833
Own Kudos:
1,661
Given Kudos: 49
Posts: 833
Kudos: 1,661
a and be are positive integers, Is a^b>10,000? 1) a+b = 22 Sep 2006, 15:23
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Can we please have an answer without plugging in numbers



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
Moderators:
Bunuel
Math Expert
105389 posts
GMATBusters
GMAT Tutor
1924 posts