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• ### $450 Tuition Credit & Official CAT Packs FREE January 15, 2019 January 15, 2019 10:00 PM PST 11:00 PM PST EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth$100 with the 3 Month Pack ($299) • ### The winning strategy for a high GRE score January 17, 2019 January 17, 2019 08:00 AM PST 09:00 AM PST Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL. # Is |x-z| > |x-y| ?  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: ### Hide Tags Retired Moderator Status: The last round Joined: 18 Jun 2009 Posts: 1220 Concentration: Strategy, General Management GMAT 1: 680 Q48 V34 Is |x-z| > |x-y| ? [#permalink] ### Show Tags 14 Jul 2010, 10:18 6 00:00 Difficulty: 45% (medium) Question Stats: 65% (01:55) correct 35% (01:39) wrong based on 380 sessions ### HideShow timer Statistics Is |x-z| > |x-y| ? (1) |z| > |y| (2) 0 > x _________________ CEO Status: Nothing comes easy: neither do I want. Joined: 12 Oct 2009 Posts: 2593 Location: Malaysia Concentration: Technology, Entrepreneurship Schools: ISB '15 (M) GMAT 1: 670 Q49 V31 GMAT 2: 710 Q50 V35 Re: Inequality problem DS [#permalink] ### Show Tags 14 Jul 2010, 10:54 Hussain15 wrote: Is $$|x-z| > |x-y|$$ ? 1. $$|z| > |y|$$ 2. $$0 > x$$ IMO C |x-z| means distance between point x and z on number line |x-y| means distance between point x and y on number line thus overall question is simply asking whether x is closer to z or y Statement 1 means -z , -y , 0 , y , z these are the points in the order on the number line. if x <0 then answer is yes , if x >z the answer is no thus not sufficient. Statement 2 is not sufficient as it does not talk about z and y now if you combine both of them...x<0 then it will be always closer to y than z. Thus both taken together are sufficient. Hence C But since your answer is E....this is possible if 2nd statement is x>0 rather than x<0 as for x >0 ..the answer to the question is yes for 0<x<y and no for x>z. _________________ Fight for your dreams :For all those who fear from Verbal- lets give it a fight Money Saved is the Money Earned Jo Bole So Nihaal , Sat Shri Akaal Support GMAT Club by putting a GMAT Club badge on your blog/Facebook GMAT Club Premium Membership - big benefits and savings Gmat test review : http://gmatclub.com/forum/670-to-710-a-long-journey-without-destination-still-happy-141642.html Math Expert Joined: 02 Sep 2009 Posts: 52108 Re: Inequality problem DS [#permalink] ### Show Tags 14 Jul 2010, 11:17 2 2 Hussain15 wrote: Is $$|x-z| > |x-y|$$ ? 1. $$|z| > |y|$$ 2. $$0 > x$$ "Is $$|x-z|>|x-y|$$", means is the distance between $$x$$ and $$z$$ more than the distance between $$x$$ and $$y$$. The best way would be just to draw the number line and consider several examples: ------x------0--y------z- satisfies both statements and the answer to the question is YES (or consider the following numbers: $$x=-10$$, $$y=2$$ and $$z=12$$); --z--x------0--y-------- satisfies both statements and the answer to the question is NO (or consider the following numbers: $$x=-10$$, $$y=2$$ and $$z=-12$$). Answer: E. Hope it's clear. _________________ Senior Manager Joined: 25 Feb 2010 Posts: 343 Re: Inequality problem DS [#permalink] ### Show Tags 14 Jul 2010, 19:25 1 Bunuel wrote: Hussain15 wrote: Is $$|x-z| > |x-y|$$ ? 1. $$|z| > |y|$$ 2. $$0 > x$$ "Is $$|x-z|>|x-y|$$", means is the distance between $$x$$ and $$z$$ more than the distance between $$x$$ and $$y$$. The best way would be just to draw the number line and consider several examples: ------x------0--y------z- satisfies both statements and the answer to the question is YES (or consider the following numbers: $$x=-10$$, $$y=2$$ and $$z=12$$); --z--x------0--y-------- satisfies both statements and the answer to the question is NO (or consider the following numbers: $$x=-10$$, $$y=2$$ and $$z=-12$$). Answer: E. Hope it's clear. Can you please explain again. unable to understand .... _________________ GGG (Gym / GMAT / Girl) -- Be Serious Its your duty to post OA afterwards; some one must be waiting for that... Math Expert Joined: 02 Sep 2009 Posts: 52108 Re: Inequality problem DS [#permalink] ### Show Tags 14 Jul 2010, 19:39 onedayill wrote: Bunuel wrote: Hussain15 wrote: Is $$|x-z| > |x-y|$$ ? 1. $$|z| > |y|$$ 2. $$0 > x$$ "Is $$|x-z|>|x-y|$$", means is the distance between $$x$$ and $$z$$ more than the distance between $$x$$ and $$y$$. The best way would be just to draw the number line and consider several examples: ------x------0--y------z- satisfies both statements and the answer to the question is YES (or consider the following numbers: $$x=-10$$, $$y=2$$ and $$z=12$$); --z--x------0--y-------- satisfies both statements and the answer to the question is NO (or consider the following numbers: $$x=-10$$, $$y=2$$ and $$z=-12$$). Answer: E. Hope it's clear. Can you please explain again. unable to understand .... Can you please specify what part didn't you understand? 2 number lines represent possible position of the numbers $$x$$, $$y$$ and $$z$$ on them, these positioning satisfy both statement 1 and 2 and give different answer to the question "is the distance between $$x$$ and $$z$$ more than the distance between $$x$$ and $$y$$" thus statenment taken together are not sufficient: answer E. Also possible values of $$x$$, $$y$$ and $$z$$ are given (which also satisfy both statement 1 and 2). If you condsider these examples you'll see that the answer to the question "is $$|x-z|>|x-y|$$" will be in one case YES and in another NO. Two different answers, hence not sufficient. _________________ Intern Joined: 19 Sep 2014 Posts: 21 Concentration: Finance, Economics GMAT Date: 05-05-2015 Is |x - z| > |x - y|? [#permalink] ### Show Tags 04 Feb 2015, 05:11 Is $$|x - z| > |x - y|$$ ? (1) $$|z| > |y|$$ (2) $$x < 0$$ Could someone please explain the answer to this question. Thanks Intern Joined: 19 Sep 2014 Posts: 21 Concentration: Finance, Economics GMAT Date: 05-05-2015 Re: Is |x - z| > |x - y|? [#permalink] ### Show Tags 04 Feb 2015, 05:18 kdatt1991 wrote: Is $$|x - z| > |x - y|$$ ? (1) $$|z| > |y|$$ (2) $$x < 0$$ Could someone please explain the answer to this question. Thanks Actually it's fine... I have found the answer to this question on another forum: http://gmatclub.com/forum/is-x-z-x-y-97235.html?fl=similar http://gmatclub.com/forum/is-x-y-x-z-88818.html?fl=similar EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 13325 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: Is |x-z| > |x-y| ? [#permalink] ### Show Tags 04 Feb 2015, 11:39 1 Hi All, This DS question can be solved by TESTing VALUES. You'll have to be thorough with your thinking though (the absolute value signs *hint* that you'll need to consider 0 and negative values as part of your work). We're asked if |X-Z| > |X-Y|. This is a YES/NO question. Fact 1: |Z| >|Y| Since there's no mention of X, you might instinctively think that this is insufficient, but here's the PROOF: IF... X = 1 Y = 0 Z = 1 |1-1| is NOT > |1-0| so the answer to the question is NO. IF... X = -1 Y = 0 Z = 1 |-1-1| IS > |-1-0| so the answer to the question is YES. Fact 2: 0 > X This Fact doesn't mention Y or Z, so you might also instinctively think that this is insufficient, but here's the PROOF: IF... X = -1 Y = 0 Z = 1 |-1-1| IS > |-1-0| so the answer to the question is YES. IF... X = -1 Y = 0 Z = -2 Then |-1-(-2)| is NOT > |-1-0| so the answer to the question is NO. Fact 2 is INSUFFICIENT. Combined, we know... |Z| > |Y| 0 > X Thankfully, we already have all of the proof that we need (in the above examples)... IF... X = -1 Y = 0 Z = 1 |-1-1| IS > |-1-0| so the answer to the question is YES. IF... X = -1 Y = 0 Z = -2 Then |-1-(-2)| is NOT > |-1-0| so the answer to the question is NO. Combined, INSUFFICIENT. Final Answer: GMAT assassins aren't born, they're made, Rich _________________ 760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com # Rich Cohen Co-Founder & GMAT Assassin Special Offer: Save$75 + GMAT Club Tests Free
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Is |x – z| > |x – y|?  [#permalink]

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15 Aug 2015, 07:12
Is |x – z| > |x – y|?

(1) |z| > |y|
(2) 0 > x
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Re: Is |x – z| > |x – y|?  [#permalink]

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15 Aug 2015, 08:20
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Re: Is |x – z| > |x – y|?  [#permalink]

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15 Aug 2015, 08:25
Mascarfi wrote:
Is |x – z| > |x – y|?

(1) |z| > |y|
(2) 0 > x

Hello @
Here this topic was discussed.
is-x-z-x-y-97235.html?fl=similar

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Is |x – z| > |x – y|?  [#permalink]

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15 Aug 2015, 08:25
This topic have been merged with: http://gmatclub.com/forum/topic-97235.html
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Is |x-z| > |x-y| ?  [#permalink]

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01 Oct 2015, 11:59

Let us consider the following value :-

x z y |x-z| |x-y| |x-z|>|x-y|
3 2 1 1 2 NO
3 -2 -1 5 4 YES
-3 2 1 5 4 YES
-3 -2 -1 1 2 NO

For statement 1. |z| > |x| --> We are getting Yes and NO. Which implies that this statement is insufficient.
And for Statement 2. 0>x --> Which activate x's two value (-3 ), which again don't satisfy, as they are giving two value.
Now when you combine --> Which again give two value
x z y |x-z|>|x-y|
-3 2 1 YES
-3 -1 -2 NO.

Sumit kumar
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Re: Is |x-z| > |x-y| ?  [#permalink]

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