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Indices - Explanation

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by chintudave » Mon Jan 19, 2009 5:23 pm
Hey Guys,
I stumbled upon this problem. Per my understanding the answer should have been option c. However the GMAT Prep software says option e.

Will appreciate if someone can elaborate on option 5 with an example.

If x > y^2 > z^4, which of the following statements could be true ? (Have used ^ as a "raise to" operator)

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
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Re: Indices - Explanation

by aroon7 » Mon Jan 19, 2009 6:42 pm
chintudave wrote:Hey Guys,
I stumbled upon this problem. Per my understanding the answer should have been option c. However the GMAT Prep software says option e.

Will appreciate if someone can elaborate on option 5 with an example.

If x > y^2 > z^4, which of the following statements could be true ? (Have used ^ as a "raise to" operator)

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
the question says "could be true". so if you can find a set of values for each option u can include it in the list.

Set 1: x=10, y=3, z=1 (fits option I)
Set 2: z=1/2, y=1/3,x=1/7 (fits option II)
Set 3: x=10, z= 1/2, y= 1/3 (fits option III)

so E
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