x>y^2>z^4

[Nailya]

If x>y^2>z^4, which of the following can be true?

1) x>y>z
2) z>y>x
3) x>z>y

OA is all of them can be true.

[cramya]

I

x=1/2 y=1/4 z=1/5

II

z>y>x

z-> 7/10 y-> 6/10 x->5/10

III

x>z>y

X=2 Z=9/10 Y=2/10

Hence I II III

[cramya]

For these type of questions the numberS between 0 and 1covering both extremes are good ones to test with.

9/10 and 1/10 etc...


Good luck.

Regards,
CR

[Nailya]

Thanks, guys.

I tried picking numbers and eventually came to same answer but it took long time as I got totally confused picking fractions that satisfy the condition.