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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## If x>y^2>z^4, which of the following statements... tagged by: BTGmoderatorLU ##### This topic has 1 expert reply and 0 member replies ### Top Member ## If x>y^2>z^4, which of the following statements... 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. 1 and III only D. II and III only E. I, II and II The OA is E. I'm really confused with this PS question. Please, can any expert assist me with it? Thanks in advanced. ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Hello LUANDATO. We will solve this PS question taking particular numbers. The hypothesis is $$x>y^2>z^4.$$ $$I.\ \ x>y>z$$ Let's set x=10, y=3 and z=1. Then $$10>3^2>1^4\ and\ 10>3>1.\$$ So, option I could be true. $$II.\ \ z>y>x$$ Let's set $$x=\frac{1}{4},\ y=\frac{1}{3}\ and\ z=\frac{1}{2},$$ then $$\frac{1}{4}>\left(\frac{1}{3}\right)^2\ >\left(\frac{1}{2}\right)^4\ and\ \frac{1}{2}>\frac{1}{3}>\frac{1}{4}.$$ So, option II could be true. $$III.\ \ x>z>y$$ Let's set $$x=10,\ y=\frac{1}{3}\ and\ z=\frac{1}{2},$$ then $$10>\left(\frac{1}{3}\right)^2\ >\left(\frac{1}{2}\right)^4\ and\ \ 10>\frac{1}{2}>\frac{1}{3}.$$ So, option III could be true. That is why the correct answer is E . I hope this examples can help you. I'm available if you'd like a follow up. Regards. _________________ GMAT Prep From The Economist We offer 70+ point score improvement money back guarantee. Our average student improves 98 points. Free 7-Day Test Prep with Economist GMAT Tutor - Receive free access to the top-rated GMAT prep course including a 1-on-1 strategy session, 2 full-length tests, and 5 ask-a-tutor messages. Get started now. • FREE GMAT Exam Know how you'd score today for$0

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