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# If x and y are positive integers, what is the

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Manager
Joined: 12 Feb 2017
Posts: 71
If x and y are positive integers, what is the [#permalink]

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03 Dec 2017, 08:34
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75% (hard)

Question Stats:

44% (01:38) correct 56% (01:28) wrong based on 27 sessions

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If x and y are positive integers, what is the value of x^y?

1) y^x= 9
2) x^(2y)= 64

Kudos if it helps.
[Reveal] Spoiler: OA

Last edited by pushkarajnjadhav on 03 Dec 2017, 09:12, edited 1 time in total.
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Location: India
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Re: If x and y are positive integers, what is the [#permalink]

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03 Dec 2017, 08:53
2
KUDOS
If x and y are positive integers, what is the value of x^y?

1) y^x= 9
2) x^(2y)= 64

I do not agree with the Official answer provided for this question. That is why I am posting this one to have a discussion.
Kudos if it helps.

Statement 1: if $$y=9$$ & $$x=1$$, then $$x^y=1$$

and if $$y=3$$ & $$x=2$$, then $$x^y=8$$. Hence Insufficient

Statement 2: $$x^{2y}=(x^y)^2=64$$

Taking square root of both sides $$x^y=8$$ (as $$x$$ & $$y$$ are positive so $$-8$$ is not possible). Sufficient

Option B
Re: If x and y are positive integers, what is the   [#permalink] 03 Dec 2017, 08:53
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