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If wx = y, then what is the value of xy?
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31 Dec 2010, 04:51
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63% (01:04) correct 37% (01:38) wrong based on 269 sessions
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If wx = y, then what is the value of xy? (1) w*x^2 = 16 (2) y = 4
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Re: If wx = y, then what is the value of xy?
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31 Dec 2010, 06:22
jonblazon wrote: Could someone please help me with this one?
if wx=y, then what is the value of xy?
1) wx^2= 16 (w times x squared)
2) y= 4
thanks! If wx=y, then what is the value of xy?(1) wx^2 = 16 > \(x*(wx)=16\) > as given that \(wx=y\) then \(x*y=16\). Sufficient. (2) y = 4 > clearly insufficient: question becomes \(4x=?\), and all we know is that \(wx=4\). Answer: A.
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Re: If wx = y, then what is the value of xy?
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31 Dec 2010, 07:08
super thanks! should have seen it was that easy



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Re: If wx = y, then what is the value of xy?
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01 Jan 2011, 08:45
+1 for Jonblazon for good question. I got C for uncareful observation +1 for Bunuel: you are amazing Thanks once again for your good question, at least to me.
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Re: If wx = y, then what is the value of xy?
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05 Mar 2014, 09:45
Usually when I have a DS question I try to come up with the equations and respective variables that I need. Then I count the equations and unknowns and if I have more unknowns than I have equations I know it's not sufficient. Here I'm not sure if the approach is feasible, but I'd like to give it a try. Please give me your opinions on the approach:
1. We have the equation wx = y and we need to find xy = ?. In order to do so we don't need to know x or y, but only w (if we have w, we're able to find xy, as wx = y is given). Therefor w is our only unknown.
(1) we get wx^2=16. As we don't need to handle x as an unknown (see above) we can count what we have: here it's 1 unknown (w) and 1 equation => sufficient (2) we get y=4. y isn't an unknown in this approach, so when we count: 1 unknown (w) and 0 equations => not sufficient
So it's A.



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Re: If wx = y, then what is the value of xy?
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28 Oct 2015, 21:27
i mistakenly took it as (wx)^2 and got wx = +4 which is insufficient; 2 is as well insufficient.. eh..can't say it's not my fault, but the topic starter should have put the math code here :D



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Re: If wx = y, then what is the value of xy?
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29 Oct 2015, 00:22
mvictor wrote: i mistakenly took it as (wx)^2 and got wx = +4 which is insufficient; 2 is as well insufficient.. eh..can't say it's not my fault, but the topic starter should have put the math code here :D The point is that wx^2 mathematically can only mean w*x^2. If it were (wx)^2 it would be written that way. Still edited to avoid confusion.
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Re: If wx = y, then what is the value of xy?
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29 Oct 2015, 06:55
Bunuel wrote: mvictor wrote: i mistakenly took it as (wx)^2 and got wx = +4 which is insufficient; 2 is as well insufficient.. eh..can't say it's not my fault, but the topic starter should have put the math code here :D The point is that wx^2 mathematically can only mean w*x^2. If it were (wx)^2 it would be written that way. Still edited to avoid confusion. Thanks bunuel, but it was not needed. I admit that it was my mistake, and that I should have been more attentive. Indeed wx^2 represents w*x^2 I was speaking about \(wx^2\) rewriting in this format



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Re: If wx = y, then what is the value of xy?
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10 Dec 2017, 03:22
I'm sorry, I've spent 20 mins trying to puzzle this out but just can't get it.
What if we were to pick numbers?
WX=Y
If W were 1 and X were 4, then Y would be 4.
Using statement 1; WX^2 = 16 would mean 1 x 4^2 = 16
This satisfied the number I'd picked earlier and Y remains 4.
But if I had chosen W as 16 and X as 1, then WX = 16
Using statement one > 16 x 1^2 = 16
This also satisfied picking W as 16 and X as 1, but now the value of WX is 16 wich means that Y is also 16.
So i get two different possible values for Y: 4 and 16.
What am I doing wrong?



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Re: If wx = y, then what is the value of xy?
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10 Dec 2017, 04:09
calappa1234 wrote: I'm sorry, I've spent 20 mins trying to puzzle this out but just can't get it.
What if we were to pick numbers?
WX=Y
If W were 1 and X were 4, then Y would be 4.
Using statement 1; WX^2 = 16 would mean 1 x 4^2 = 16
This satisfied the number I'd picked earlier and Y remains 4.
But if I had chosen W as 16 and X as 1, then WX = 16
Using statement one > 16 x 1^2 = 16
This also satisfied picking W as 16 and X as 1, but now the value of WX is 16 wich means that Y is also 16.
So i get two different possible values for Y: 4 and 16.
What am I doing wrong? What question are you answering? The question asks: what is the value of xy? In both of your examples xy comes to be 16.
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Re: If wx = y, then what is the value of xy?
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10 Dec 2017, 10:25
Oh my, never mind! I've been trying to read way to deep into this question and have in turn, contorted it into something else entirely in my mind. I see now, how simple it actually is. Sorry for the confusion, and thanks for clearing it up!



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Re: If wx = y, then what is the value of xy?
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22 Mar 2018, 21:31
If wx = y, then what is the value of xy?
(1) w*x^2 = 16 (2) y = 4
I solved it like this 1) w*x^2 /x^2 = 16/x^2 (divide by x^2 on both side) w= 16/x^2 Put this in original equation wx = y > (16/x^2)*x = y >16/x = y So, xy = x* (16/x) = 16 Hence, sufficient.
Can we solve it this way aswell??



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Re: If wx = y, then what is the value of xy?
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22 Mar 2018, 22:15
RashmiT wrote: If wx = y, then what is the value of xy?
(1) w*x^2 = 16 (2) y = 4
I solved it like this 1) w*x^2 /x^2 = 16/x^2 (divide by x^2 on both side) w= 16/x^2 Put this in original equation wx = y > (16/x^2)*x = y >16/x = y So, xy = x* (16/x) = 16 Hence, sufficient.
Can we solve it this way aswell?? Hello Yes, I think we can do it this way as well.



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Re: If wx = y, then what is the value of xy?
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09 Apr 2019, 09:46
jonblazon wrote: If wx = y, then what is the value of xy?
(1) w*x^2 = 16 (2) y = 4 Given: wx = y Target question: What is the value of xy ? Statement 1: wx²= 16 We can rewrite this as: (wx)(x) = 16 Since wx = y, we can replace wx with y to get: ( y)(x) = 16 So, the answer to the target question is xy = 16Since we can answer the target question with certainty, statement 1 is SUFFICIENT Statement 2: y = 4There are several values of w, x and y that satisfy statement 2. Here are two: Case a: w = 1, x = 4 and y = 4. In this case, the answer to the target question is xy = 16Case b: w = 2, x = 2 and y = 4. In this case, the answer to the target question is xy = 8Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT Answer: A Cheers, Brent
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Re: If wx = y, then what is the value of xy?
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09 Apr 2019, 10:57
Good question,
just needed presence of mind ...
IMO A
put wx= y in statement 1
we get xy = 16
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Re: If wx = y, then what is the value of xy?
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09 Apr 2019, 10:57






