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Register now and save up to $200 Available with Beat the GMAT members only code ## Are we really sure? XY>0 issue tagged by: Brent@GMATPrepNow This topic has 3 expert replies and 3 member replies matteomasciotti Junior | Next Rank: 30 Posts Joined 18 Sep 2012 Posted: 15 messages Followed by: 1 members #### Are we really sure? XY>0 issue Thu Jan 17, 2013 3:53 am Hi guys, I came across this easy DS problem on the Official Gmat Quant. Review, #80. it states the following: if xy>0 is (x-1)(y-1)=1? 1)x+y=xy 2)x=y I'am not going to go through the first statement,but rather, I would like to draw your attention towards statement number 2. if x=y , then the expression (x-1)(y-1)=1 can be written in this way: xy-y-x+1=1 substituing x with y we get: y^2-2y=0 (which is the same result showed at the end of the book) Now, the solution at the back tells us that, since y^2-2y=0 has not gotten only one solution we can't tell whether (x-1)(y-1) is equal to 1. but ...are we really sure? If we solve for y the equation y^2-2y=0 we can have two solutions, either y is 0 or y is 2. Fine..but the initial statement tells us that XY>0 which means that y could not be 0, and therefore, in my humple opinion, y can only be 2, hence, if y=2 then (x-1)(y-1) is actually equal to 1. But ..unfortunately this is not the case...why is my assumption flawed? matteomasciotti Junior | Next Rank: 30 Posts Joined 18 Sep 2012 Posted: 15 messages Followed by: 1 members Sat Jan 19, 2013 5:29 am Thanks a lot Ceilidh. I found your suggestion very helpful. It is a very common mistake I make, I take the question as an answer... ### GMAT/MBA Expert Brent@GMATPrepNow GMAT Instructor Joined 08 Dec 2008 Posted: 11275 messages Followed by: 1225 members Upvotes: 5254 GMAT Score: 770 Sat Jan 19, 2013 7:44 am ceilidh.erickson wrote: On any DS question, the best approach is to simplify the question as much as possible before looking at the statements. I wholeheartedly agree! If anyone would like to learn more about rephrasing the target question, we have a free video on this topic: http://www.gmatprepnow.com/module/gmat-data-sufficiency?id=1100 Cheers, Brent _________________ Brent Hanneson â€“ Founder of GMATPrepNow.com Use our video course along with Check out the online reviews of our course Come see all of our free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert Jim@StratusPrep MBA Admissions Consultant Joined 11 Nov 2011 Posted: 2278 messages Followed by: 265 members Upvotes: 660 GMAT Score: 770 Thu Jan 17, 2013 5:33 am Take a step back. You are using the question. To prove itself right. If x=y they can be any set of values, all of which. (Except 2) do not give you 1 for the statement in question. _________________ GMAT Answers provides a world class adaptive learning platform. -- Push button course navigation to simplify planning -- Daily assignments to fit your exam timeline -- Organized review that is tailored based on your abiility -- 1,000s of unique GMAT questions -- 100s of handwritten 'digital flip books' for OG questions -- 100% Free Trial and less than$20 per month after.
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hemant_rajput Master | Next Rank: 500 Posts
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Thu Jan 17, 2013 6:09 am
Sometimes substituting the number into the equation is the quick and easy way to verify your approach. It so happen in GMAT question that you come to a conclusion after some deduction and inferences, but if we go the beginning and take other approach now our conclusion will be false.

for ex :- if we put 3 for both x and y , we'll find that it is not equal to 2. here we got one more answer so we can not say for sure about this approach.

Hope it make it more clear.

matteomasciotti Junior | Next Rank: 30 Posts
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Thu Jan 17, 2013 6:29 am
Yeah sorry...I made it too complicated

### GMAT/MBA Expert

ceilidh.erickson GMAT Instructor
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Thu Jan 17, 2013 12:26 pm
On any DS question, the best approach is to simplify the question as much as possible before looking at the statements.

(x - 1)(y - 1) = 1 ?
xy - x - y + 1 = 1 ?
xy - x - y = 0 ?
xy = x + y ?

This is the most simplified version of our question - does xy equal x + y? If we simplify the question, we can see that statement (1) answers it exactly, so that's sufficient.

With statement (2), does knowing that x and y are equal tell us whether xy equals x + y? Well, does x^2 always equal 2x? Only if x (and therefore y) is equal to 2 or 0. You were doing the right math, but not asking yourself the right question! It's a really common mistake to treat the question as the thing you know, rather than the thing you're wondering.

This may seem overly simplistic, but I find that it's really helpful to keep a question mark attached to the question in your own notes. That way it's clear that it's something you're wondering, not something you know! Simplifying the question as much as possible will make it all the more clear.

_________________

Ceilidh Erickson
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