X^4 + y^4=100. What would be the highest possible value for : Quant Question Archive [LOCKED]
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 16 Jan 2017, 18:03

### 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

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

# X^4 + y^4=100. What would be the highest possible value for

Author Message
Current Student
Joined: 11 May 2008
Posts: 556
Followers: 8

Kudos [?]: 173 [0], given: 0

X^4 + y^4=100. What would be the highest possible value for [#permalink]

### Show Tags

03 Aug 2008, 17:37
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

X^4 + y^4=100. What would be the highest possible value for X?

A 0-3
B 3-6
C 6-9
D 9-12
E 12 –15
Senior Manager
Joined: 23 May 2006
Posts: 326
Followers: 2

Kudos [?]: 292 [0], given: 0

### Show Tags

03 Aug 2008, 18:30
To maximize X we will need to minimize Y. The lowest value that y can have here is 0
Hence x^4 = 100
Now 10^4(1/2) = 10^2 = 100

IMO B
Senior Manager
Joined: 18 Jun 2007
Posts: 294
Followers: 2

Kudos [?]: 56 [0], given: 0

### Show Tags

03 Aug 2008, 21:01
agree with x97agarwal.
to get the highest value of x, we need to give y, the lowest value. i.e. 0

now x^4 = 100
x^2 = 10

since 3^2 = 9, X has to be higher than 3 but lower than 4.

so, the correct option is B
SVP
Joined: 07 Nov 2007
Posts: 1820
Location: New York
Followers: 34

Kudos [?]: 860 [0], given: 5

### Show Tags

04 Aug 2008, 11:06
arjtryarjtry wrote:
X^4 + y^4=100. What would be the highest possible value for X?

A 0-3
B 3-6
C 6-9
D 9-12
E 12 –15

B.
Y has to be zero for max 'X'
3^4 = 81
4^4= 256

x shoube > 3 AND <4
_________________

Smiling wins more friends than frowning

VP
Joined: 17 Jun 2008
Posts: 1397
Followers: 8

Kudos [?]: 290 [0], given: 0

### Show Tags

04 Aug 2008, 11:17
arjtryarjtry wrote:
X^4 + y^4=100. What would be the highest possible value for X?

A 0-3
B 3-6
C 6-9
D 9-12
E 12 –15

put y=0 for x as highest
hence x^4=100 => x^2=10 => x ~ 3.3 or -3.3

hence IMO B
_________________

cheers
Its Now Or Never

Re: highest power   [#permalink] 04 Aug 2008, 11:17
Display posts from previous: Sort by