BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Greatest possible value?

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Senior | Next Rank: 100 Posts
Posts: 52
Joined: Sat Aug 14, 2010 9:24 pm

Greatest possible value?

by vongdn » Wed Oct 06, 2010 7:56 pm
uIf x^4 + y^4 = 100, then the greatest possible value of x is between...

0 and 3
3 and 6
6 and 9
9 and 12
12 and 15


ANSWER --> 3 and 6

I get it so x^2 + y^2 = 10, but from there, now what?
Top
Source: — Problem Solving |
User avatar
Master | Next Rank: 500 Posts
Posts: 270
Joined: Wed Apr 07, 2010 9:00 am
Thanked: 24 times
Followed by:2 members

by neerajkumar1_1 » Wed Oct 06, 2010 8:17 pm
the greatest possible value for x will be when y is minimum...

so let y=0, such that y^4 is min...

so x^4 = 100
now closest integer for x we get is 3, where 3^4 = 81 and is closest to 100...
4 will be bigger than 100...
Hence some non-integer value above 3 and less than 4 will give the greatest possible value...

hence x lies between 3 and 6

IMO: B
Top
Post new topic Post Reply
• Page 1 of 1