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If x is a nonzero integer, what is the value of xy?
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06 Nov 2014, 08:20
Question Stats:
69% (01:53) correct 31% (02:13) wrong based on 194 sessions
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Re: If x is a nonzero integer, what is the value of xy?
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06 Nov 2014, 09:24
Statement 1 is clearly insufficient. Statement 2: You can combine all the bases with the exponent "x". They all end up cancelling out and yielding 6^y=1^x. Here, 1^x is always equal to 1, so 6^y=1 and that should be sufficient.
Answer B



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Re: If x is a nonzero integer, what is the value of xy?
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06 Nov 2014, 12:15
Statement 1 not sufficient since we clearly dont know value of y Statement 2 can be simplified to reach 2^y*3^y=1, 6^y=1 This means y=0 This is enough to find xy that is 0
Answer B



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Re: If x is a nonzero integer, what is the value of xy?
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06 Nov 2014, 19:06
Statement 1 is clearly insufficient, since we don't know the value of y
Statement 2: 128^x*6^(x + y) = 48^(2x)*3^(x)
This can be simplified as
2^8x * 2^y * 3^x*3^y = 2^8x*3^x => 2^y *3^y=1 Only possible if y = 0
Therefore xy = 0. Sufficient
Hence B) is the answer



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Re: If x is a nonzero integer, what is the value of xy?
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06 Nov 2014, 22:58
Bunuel wrote: Tough and Tricky questions: Algebra. If x is a nonzero integer, what is the value of xy? (1) x = 2 (2) 128^x*6^(x + y) = 48^(2x)*3^(x) Kudos for a correct solution.Statmnt1) Nothing we know about Y...Insuff Statmnt2) 2^7x * 2^(x+y) * 3^(x+y) = 3^2x*2^8x*3^(x) 2^8x+y * 3^(x+y) = 3^x * 2^8x so y=0 > xy=0 Suff, IMO B



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Re: If x is a nonzero integer, what is the value of xy?
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20 Jan 2017, 21:10
There is another thread on this post which is actually locked. In that question says to find the value of x^y and here it says to find xy though it doesn't matter which one you find as answer will be same. I just want to clarify which question is correct. Below is the link of that locked thread. ifxisanonzerointegerwhatisthevalueofxy1x30817.html
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Re: If x is a nonzero integer, what is the value of xy?
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21 Jan 2017, 00:06
anairamitch1804 wrote: There is another thread on this post which is actually locked. In that question says to find the value of x^y and here it says to find xy though it doesn't matter which one you find as answer will be same. I just want to clarify which question is correct. Below is the link of that locked thread. ifxisanonzerointegerwhatisthevalueofxy1x30817.htmlHi, Both the questions are correct. If you solve the equation in statement 2. You get y=0 This is sufficient to get the value of xy and x^y, as we are already given that x is a non zero integer in both the questions. Given y=0, xy = 0 and x^y = 1.



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Re: If x is a nonzero integer, what is the value of xy?
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29 Jan 2017, 02:50
If x is a nonzero integer, what is the value of xy?
x could negative or positive integer. y could be any number
(1) x = 2
No info about y.
Insufficient
(2) 128^x*6^(x + y) = 48^(2x)*3^(x)
Simplifying the equation above keeping an eye of 3 as it has x & y......... 3^(x+y) = 3^x
x+y=x............then y=0
xy=0
Sufficient
Answer: B



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Re: If x is a nonzero integer, what is the value of xy?
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29 Nov 2018, 16:19
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: If x is a nonzero integer, what is the value of xy? &nbs
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