If X^4+Y^4=100, then the greatest possible value of X is : Quant Question Archive [LOCKED]
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 23 Jan 2017, 10:18

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If X^4+Y^4=100, then the greatest possible value of X is

 post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
Director
Joined: 25 Oct 2006
Posts: 648
Followers: 13

Kudos [?]: 507 [0], given: 6

If X^4+Y^4=100, then the greatest possible value of X is [#permalink]

### Show Tags

05 Jun 2007, 10:58
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If X^4+Y^4=100, then the greatest possible value of X is between:
A. 0 and 3
B. 3 and 6
C. 6 and 9
D. 9 and 12
E. 12 and 15

Please state your view...
Manager
Joined: 22 May 2007
Posts: 121
Followers: 1

Kudos [?]: 4 [0], given: 0

### Show Tags

05 Jun 2007, 11:09
B for me.

y=0

x must be between 3 (3^4=81) and 6 (6^4=not even gonna bother with this one).
VP
Joined: 08 Jun 2005
Posts: 1146
Followers: 7

Kudos [?]: 189 [0], given: 0

### Show Tags

05 Jun 2007, 12:03
My two cents:

If x^4+y^4=100 then the least y^4 will be the greater x^4 will be.
Since y^4 cannot be negative, the least y^4 can be is 0 (when y = 0) so x^4 can be at most x^4=100.

x^4=100 can be simplified to x^2=10 and then to x=sqrt10 = ~ 3.33.

The answer is then (B).

Manager
Joined: 14 Mar 2007
Posts: 235
Followers: 1

Kudos [?]: 8 [0], given: 0

### Show Tags

05 Jun 2007, 12:58
For me: to make the greatest possible value for X we have to make the least possible value for Y, considering any possible number. for that reason, will be x^4 = 100 something around 3 and 4.
05 Jun 2007, 12:58
Display posts from previous: Sort by

# If X^4+Y^4=100, then the greatest possible value of X is

 post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group and phpBB SEO 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®.