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Is the value of x equal to the value of y?
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24 May 2013, 17:32
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63% (01:18) correct 38% (01:23) wrong based on 505 sessions
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Is the value of x equal to the value of y? (1) xy = yx (2) xy not equal to zero
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Re: Is the value of x equal to the value of y?
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24 May 2013, 17:46
Is the value of x equal to the value of y?(1) \(xy = yx\)Elaborate it : \(yx=(xy)=xy\) So \(xy = xy\) This is true for every combination of \(x,y\): equal or not. x=3, y=1 31=31 x=3, y=3 33=33 Not sufficient (2) xy not equal to zeroSo both \(x,y\) do not equal \(0\). Not sufficient to say that they are the same. (1)+(2) The cases in 1 are still valid because \(x,y\neq{0}\) x=3, y=1 31=31 x=3, y=3 33=33 Not sufficient E
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Re: Is the value of x equal to the value of y?
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18 Sep 2013, 07:39
+1 for E!
Stat 1: True whenever x and y both have same size, no matter they are same or not. Also true, when x and y are same...so clearly not sufficient.
Stat 2: Just tells x and y both can not be 0, so not sufficient.
Together: Still no new information.. Not sufficient.
E for me! Let me know if my reasoning is correct.



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Re: Is the value of x equal to the value of y?
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10 Nov 2013, 03:25
Individual value of x and y is not equal. If we assume any value of x and y for stm1, result will be equal but not individual value. thanks.
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Re: Is the value of x equal to the value of y?
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Re: Is the value of x equal to the value of y?
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11 Jun 2015, 10:22
Bunuel wrote: pikachu wrote: Is the value of x equal to the value of y?
(1) xy = yx
(2) xy not equal to zero I'm surprised that almost 50% of users got this question wrong! First statement is absolutely useless. xy = yx is true for any values of x and y: both LHS and RHS are the distances between x and y, so no surprise that they are equal. Second statement also does not give us much  it implies that none of them is 0. Together, the same story, nothing to determine whether x = y or not. For example, consider x = y = 1 and x = 1 and y = 2. Answer: E. Bunuel , I am badly struggling with Modulus/absoulate value questions ... I completed Mgmat book for same topic also went through gmat club book for this topic ... but accuracy is damn low .. I freak out whenever i see this Mod sign .. please suggest something !!
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Re: Is the value of x equal to the value of y?
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11 Jun 2015, 10:31
adityadon wrote: Bunuel wrote: pikachu wrote: Is the value of x equal to the value of y?
(1) xy = yx
(2) xy not equal to zero I'm surprised that almost 50% of users got this question wrong! First statement is absolutely useless. xy = yx is true for any values of x and y: both LHS and RHS are the distances between x and y, so no surprise that they are equal. Second statement also does not give us much  it implies that none of them is 0. Together, the same story, nothing to determine whether x = y or not. For example, consider x = y = 1 and x = 1 and y = 2. Answer: E. Bunuel , I am badly struggling with Modulus/absoulate value questions ... I completed Mgmat book for same topic also went through gmat club book for this topic ... but accuracy is damn low .. I freak out whenever i see this Mod sign .. please suggest something !! Try practicing easy modulus questions first and post doubts you'll have: Sub600 PS absolute value questionsSub600 DS absolute value questionsAlso check Absolute Value Tips and articles on modulus in our Important Topics Directory. Hope it helps.
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Re: Is the value of x equal to the value of y?
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12 Jun 2015, 18:03
Hi adityadon, Absolute Value questions (Modulus questions) are relatively rare on the GMAT  you'll probably see the concept just once or twice on Test Day, so you don't have to worry too much about it. Most Absolute Value questions can be solved by TESTing VALUES or by doing a bit of 'brute force' arithmetic, so dealing with this category using complex mathematics is not a good idea (and is NEVER necessary). GMAT assassins aren't born, they're made, Rich
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Re: Is the value of x equal to the value of y?
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12 Jun 2015, 19:32
The strategy you should use on absolute value questions is totally leveldependent. If you're just aiming for an average Quant score, testing values should be fine  on easier questions it often works, and it's often fast. But if you're aiming for a high Quant score, you'll be seeing harder questions on test day, and on hard absolute value questions, testing numbers will either take far too long, or will simply not get you the answer. There are two mathematical approaches that can be used. The 'distance approach', the approach Bunuel used above to solve this question in 5 seconds, is most often the best approach. The 'cases method', which is what most people learn in school, can always be used, but it's often very awkward, so is best avoided unless strictly necessary. But it is necessary on occasion  I've seen a small number of real GMAT questions where the cases method is the only way to get an answer, so test takers aiming for Q51 scores probably should know how to use it.
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Re: Is the value of x equal to the value of y?
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13 Jun 2015, 15:02
Hi adityadon, As you continue to study, you should take full advantage of these Forums. If you come across any additional Absolute Value questions that give you trouble (or any other types of questions, for that matter), then you should post them here. I'm sure the group will show you every possible way to approach the question. GMAT assassins aren't born, they're made, Rich
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Re: Is the value of x equal to the value of y?
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16 Aug 2016, 04:59
St1. xy is equal to yx by definition. INSUFF
St.2 only know that none of x and y or both are not equal to 0.INSUFF
st1+st2. INSUFF
E



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Re: Is the value of x equal to the value of y?
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