gmatprep official question...

[givinggmat]

1. If X > Y^2 > Z^4, which of the following could be true?
(i) x > y > z
(ii) z > y > x
(iii) x > z > y

a) i only
b) i and ii
c) i and iii
d)ii and iii
e)i, ii and iii

[clock60]

it seems like e

[sg_berries]

The answer is e.
Given Equation: X > Y^2 > Z^4
Take values to prove that the options COULD be true for the given equation.

(i) let x = 30, y=5, z =2, here x> y> z and the values satisfy the given equation. Therefore (i) is true.

(ii) Let z = 1/2, y = 1/3, x=1/5 , z > y > x and satisfies the given equation. Hence (ii) is true.

(iii) Let x = 30, z = -2, y = -5 , x> z>y and it also satisfies the given equation. Hence (iii) is also true.

Therefore the answer is e.

[givinggmat]

Originally Posted by sg_berries

The answer is e.
Given Equation: X > Y^2 > Z^4
Take values to prove that the options COULD be true for the given equation.

(i) let x = 30, y=5, z =2, here x> y> z and the values satisfy the given equation. Therefore (i) is true.

(ii) Let z = 1/2, y = 1/3, x=1/5 , z > y > x and satisfies the given equation. Hence (ii) is true.

(iii) Let x = 30, z = -2, y = -5 , x> z>y and it also satisfies the given equation. Hence (iii) is also true.

Therefore the answer is e.

oh yes... it is E

i forgot to take the fractions and missed on ii.

[kssshah]

Originally Posted by sg_berries

The answer is e.
Given Equation: X > Y^2 > Z^4
Take values to prove that the options COULD be true for the given equation.

(i) let x = 30, y=5, z =2, here x> y> z and the values satisfy the given equation. Therefore (i) is true.

(ii) Let z = 1/2, y = 1/3, x=1/5 , z > y > x and satisfies the given equation. Hence (ii) is true.

(iii) Let x = 30, z = -2, y = -5 , x> z>y and it also satisfies the given equation. Hence (iii) is also true.

Therefore the answer is e.

great explanation sg_berries. I got the 3 "types" of #s that form the base of this question - +ve, -ve, +ve <1. However, I was find it difficult to pick numbers to prove or disprove these statements. Did you have the difficulty? if not, what logic did you use in picking #s.