Last visit was: 23 Apr 2026, 11:52 It is currently 23 Apr 2026, 11:52
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
User avatar
zerotoinfinite2006
Joined: 17 Aug 2010
Last visit: 28 Jun 2011
Posts: 45
Own Kudos:
330
 [4]
Given Kudos: 18
Posts: 45
Kudos: 330
 [4]
2
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
User avatar
shrouded1
User avatar
Retired Moderator
Joined: 02 Sep 2010
Last visit: 29 Apr 2018
Posts: 608
Own Kudos:
3,230
 [2]
Given Kudos: 25
Location: London
Products:
Posts: 608
Kudos: 3,230
 [2]
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
User avatar
nov79
Joined: 03 Sep 2010
Last visit: 30 Mar 2012
Posts: 52
Own Kudos:
95
 [1]
Given Kudos: 2
Location: Israel
GMAT 1: 660 Q47 V34
GMAT 2: 670 Q48 V34
GPA: 3.2
WE:Operations (Non-Profit and Government)
GMAT 2: 670 Q48 V34
Posts: 52
Kudos: 95
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
EMPOWERgmatRichC
User avatar
Major Poster
Joined: 19 Dec 2014
Last visit: 31 Dec 2023
Posts: 21,777
Own Kudos:
Given Kudos: 450
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Expert
Expert reply
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Posts: 21,777
Kudos: 13,047
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hi All,

This question can be solved with a combination of Exponent Rules and TESTing VALUES.

We're told that B is an INTEGER. We're asked if 2^44 < B^11. This is a YES/NO question.

Fact 1: B is EVEN

IF....
B = 0
Then 2^44 is NOT < 0^11 and the answer to the question is NO

IF....
B = 10,000,0000
Then 2^44 is < 10,000,000^11 and the answer to the question is YES
Fact 1 is INSUFFICIENT

Fact 2: B is greater than 16

This Fact is more about knowing how to 'rewrite' exponents than anything else.

16^11 can be rewritten as (2^4)^11, which is equal to 2^44.

Since we now know that B is GREATER than 16, B^11 will be GREATER than 2^44. The answer to the question is ALWAYS YES.
Fact 2 is SUFFICIENT

Final Answer:
GMAT assassins aren't born, they're made,
Rich
User avatar
preetamsaha
Joined: 14 Oct 2019
Last visit: 18 Jan 2025
Posts: 337
Own Kudos:
Given Kudos: 127
Status:Today a Reader; Tomorrow a Leader.
Location: India
GPA: 4
WE:Engineering (Energy)
Posts: 337
Kudos: 563
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Is a^44 < b^11, given that a =2 and b is an integer ?

(1) b is even
b can be any large even integer. Is a^44 < b^11? answer will be yes.
but if b=2 . answer will be no. insufficient
(2) b is greater than 16
so, B=17,18,19..... 17^11>(2^44=16^11). sufficient

correct answer B
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,964
Own Kudos:
Posts: 38,964
Kudos: 1,117
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Math Expert
109783 posts
498 posts
212 posts