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If x > y^2 > z^4, which of the following statements could be true? [#permalink]
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19 Apr 2009, 01:21
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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 OPEN DISCUSSION OF THIS QUESTION IS HERE: ifxy2z4whichofthefollowingstatementscouldbe100465.html
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Re: If x > y^2 > z^4, which of the following statements could be true? [#permalink]
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19 Apr 2009, 09:24
(c) if x, y & z are positive (I) is true if x, y & z are negative (III) is true
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Re: If x > y^2 > z^4, which of the following statements could be true? [#permalink]
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20 Apr 2009, 10:14
Can anybody give an example of option 2. Also is there any formula to pick numbers so that the question can be slolved within 2 mins.



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Re: If x > y^2 > z^4, which of the following statements could be true? [#permalink]
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21 Apr 2009, 20:31
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Please see my video solution. http://www.gmatquantum.com/sharedposts ... blem5.htmlDabral mavesum wrote: 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 only c. I and III only d. II and III only e. I,II and III
Last edited by dabral on 24 May 2011, 20:12, edited 2 times in total.



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Re: If x > y^2 > z^4, which of the following statements could be true? [#permalink]
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20 Aug 2009, 04:38
case 1 x=10 y=(+/)3 z=(+/)1 case 2 x=10 y=(+/)1/2 z=(+/)1/4
work out it will give you I and III true hence ans=c



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Re: If x > y^2 > z^4, which of the following statements could be true? [#permalink]
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20 Aug 2009, 08:31
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use examples: x=100 y= 2 z=1 then I is correct x=0.1 y=0.2 z=0.3 then II is correct x=0.5 y=0.2 z=0.3 then III is correct therefore answer is e.
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Re: If x > y^2 > z^4, which of the following statements could be true? [#permalink]
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21 Aug 2009, 00:15
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mavesum wrote: 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 only c. I and III only d. II and III only e. I,II and III E for me. I. x > y > z If x = 0.3, y can be 0.03 & z can be 0.003 and still satisfy \(x > y^2 > z^4\). II. z > y > x If x = 0.4, y can be 0.45 & z can be 0.5 and still satisfy \(x > y^2 > z^4\). III. x > z > y If x = 3, z can be 1, y can be 3 and still satisfy \(x > y^2 > z^4\). Hope this makes sense.
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Re: If x > y^2 > z^4, which of the following statements could be true? [#permalink]
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16 Sep 2009, 09:52
E. Question asks what could be true, not what must be. in second choice the only way is to pick fractions. a very good explanation dabral gives on the link, he gave in the post above. kudos for you.
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Re: If x > y^2 > z^4, which of the following statements could be true? [#permalink]
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29 Oct 2009, 14:38
Hi guys,
Came across this problem in GMAT prep. Could not understand why my answer was incorrect.
Given that 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 only C. I and III only D. II and III only E. I, II and III
Pls explain.



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Re: If x > y^2 > z^4, which of the following statements could be true? [#permalink]
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29 Oct 2009, 15:06
I think the answer is E and I don't have much time to explain, so what I'll say is think of fractions. kalpeshchopada7 wrote: Hi guys,
Came across this problem in GMAT prep. Could not understand why my answer was incorrect.
Given that 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 only C. I and III only D. II and III only E. I, II and III
Pls explain.
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Re: If x > y^2 > z^4, which of the following statements could be true? [#permalink]
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29 Oct 2009, 16:26
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All you have to do is to pick numbers. Let's test... Given \(x>y^2>z^4\) I.\(x>y>z\): pick \(x=9\), \(y=2\), \(z=1\). Check \(9>4>1\). So, it could be true. II. \(z>y>x\): pick \(z=8/10\), \(y=7/10\) and \(x=6/10\). Check \(\frac{6}{10}>\frac{49}{100}>\frac{4,096}{10,000}\). So, it also could be true. III. \(x>z>y\): pick \(x=1\), \(z=8/10\) and \(y=7/10\). Checking... \(1>\frac{49}{100}>\frac{4,096}{10,000}\). And this one could be true. Hint: Solving this question, you should remember that \(x^2<x^1\), for all \(0<x<1\). Therefore, the answer should be E. KUDOS it you find it helpful
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Re: If x > y^2 > z^4, which of the following statements could be true? [#permalink]
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15 Jun 2010, 12:25
IF x>y^2>z^4 then which of hte following is true? x>y>z z>y>x x>z>y OA is Could somebody provide an explanation that for the 3rd one to be correct?



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Re: If x > y^2 > z^4, which of the following statements could be true? [#permalink]
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Re: If x > y^2 > z^4, which of the following statements could be true? [#permalink]
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16 Oct 2016, 12:55
mavesum 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. 1 and III only D. II and III only E. I, II and II As this is a COULD be true question then even one set of numbers proving that statement holds true is enough to say that this statement should be part of correct answer choice. Given: \(x > y^2 > z^4\). 1. \(x>y>z\) > the easiest one: if \(x=100\), \(y=2\) and \(z=1\) > this set satisfies \(x > y^2 > z^4\) as well as given statement \(x>y>z\). So 1 COULD be true. 2. \(z>y>x\) > we have reverse order than in stem (\(x > y^2 > z^4\)), so let's try fractions: if \(x=\frac{1}{5}\), \(y=\frac{1}{4}\) and \(z=\frac{1}{3}\) then again the stem and this statement hold true. So 2 also COULD be true. 3. \(x>z>y\) > let's make \(x\) some big number, let's say 1,000. Next, let's try the fractions for \(z\) and \(y\) for the same reason as above (reverse order of \(y\) and \(z\)): \(y=\frac{1}{3}\) and \(z=\frac{1}{2}\). The stem and this statement hold true for this set of numbers. So 3 also COULD be true. Answer: E. OPEN DISCUSSION OF THIS QUESTION IS HERE: ifxy2z4whichofthefollowingstatementscouldbe100465.html
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