GMAT Prep

[lokesh r]

Please help me in analyzing statement 3

[Rahul@gurome]

Solution:
It is given that x > (y^2) > (z^4).

Let x = 65, y = 8 and z = 2.
y^2 = 64 and z^4 = 16.
Here x > (y^2) > (z^4), and x > y > z.
So I can be true.
Next let x = 1/8, y = 1/3, z = ½.
y^2 = 1/9 and z^4 = 1/16.
Now again x > (y^2) > (z^4), and x < y < z.
So II can be true.
Next let x = 1, y = -1/2, z = -1/3.
y^2 = 1/4, z^4 = 1/81.
Here x > (y^2) > (z^4). and x > z > y.
So even III can be true.

Since all three can be true correct answer is (E).

[lokesh r]

Solution:
It is given that x > (y^2) > (z^4).

Let x = 65, y = 8 and z = 2.
y^2 = 64 and z^4 = 16.
Here x > (y^2) > (z^4), and x > y > z.
So I can be true.
Next let x = 1/8, y = 1/3, z = ½.
y^2 = 1/9 and z^4 = 1/16.
Now again x > (y^2) > (z^4), and x < y < z.
So II can be true.
Next let x = 1, y = -1/2, z = -1/3.
y^2 = 1/4, z^4 = 1/81.
Here x > (y^2) > (z^4). and x > z > y.
So even III can be true.


Thanks a lot for solving this question for me..

Since all three can be true correct answer is (E).

[nasir]

i tried to plug in same values for the given options and got the answer incorrect. i couldn't figure out that i have to plug in different values. sometimes its difficult to understand the " Question "