Data Sufficiency

VyDinh wrote:If x>y^2>z^4, which of the following statements could be true?

I.x>y>z
II. z>y>x
III. x>z>y

A. I only
B. I and II only
C. I and III only
D. II and III only
E. I, II and III

If we CAN find a set of values that satisfies a statement AND yields values such that x > y^2 > z^4, then we'll keep that statement.

Statement I. x > y > z
If x = 2, y = 1, and z = 0, then x > y^2 > z^4
KEEP statement I

Statement II. z > y > x
If x = 1/4, y = 1/3, and z = 1/2, then x > y^2 > z^4
KEEP statement II

Statement III. x > z > y
If x = 2, y = -1, and z = 0, then x > y^2 > z^4
KEEP statement III

Answer: E

Cheers,
Brent

VyDinh wrote:Thanks Brent.

Is this because the question said "could be true" so in each case, we only need to find one case that satisfies the statement?

Exactly.
If the question had read "MUST be true" then none of the statements would have worked.

Cheers,
Brent