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?
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
Greatest possible value?
This topic has expert replies
-
neerajkumar1_1
- Master | Next Rank: 500 Posts
- Posts: 270
- Joined: Wed Apr 07, 2010 9:00 am
- Thanked: 24 times
- Followed by:2 members
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
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
