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# If x=y-z, is x>y?

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8013
GMAT 1: 760 Q51 V42
GPA: 3.82

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09 Mar 2018, 00:21
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Difficulty:

55% (hard)

Question Stats:

54% (01:18) correct 46% (01:31) wrong based on 78 sessions

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[GMAT math practice question]

If $$x=y-z$$, is $$x>y$$?

$$1) y<0$$
$$2) z<0$$

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Senior PS Moderator Joined: 26 Feb 2016 Posts: 3335 Location: India GPA: 3.12 If x=y-z, is x>y? [#permalink] ### Show Tags 09 Mar 2018, 05:52 If $$x=y-z$$, is $$x>y$$? $$1) y<0$$ If y = -4 < 0. Case 1: x = -5, z = -1 Case 2: x = -4, z = 0 In Case 1, x>y but in second case, x=y (Insuffiicient) $$2) z<0$$ If z is negative, the only possibility when x = y-z is when $$x > y$$ (Sufficient - Option B) _________________ You've got what it takes, but it will take everything you've got CEO Status: GMATINSIGHT Tutor Joined: 08 Jul 2010 Posts: 2978 Location: India GMAT: INSIGHT Schools: Darden '21 WE: Education (Education) If x=y-z, is x>y? [#permalink] ### Show Tags 09 Mar 2018, 10:49 MathRevolution wrote: [GMAT math practice question] If $$x=y-z$$, is $$x>y$$? $$1) y<0$$ $$2) z<0$$ Given, x = y - z i.e. x - y = -z Question : Is x > y? Question : Is x - y > 0? Question : Is -z > 0? Question : Is z < 0? Statement 1: y < 0 No Information about z hence NOT SUFFICIENT Statement 2: z < 0 SUFFICIENT Answer: Option B Key Take Away: Always rephrase the question in the simplest possible form so that we can objectively look at the information "actually needed" to solve the question _________________ Prosper!!! GMATinsight Bhoopendra Singh and Dr.Sushma Jha e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772 Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi http://www.GMATinsight.com/testimonials.html ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 8013 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: If x=y-z, is x>y? [#permalink] ### Show Tags 11 Mar 2018, 18:30 1 => Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first step of the VA (Variable Approach) method is to modify the original condition and the question. We then recheck the question. We can modify the question as follows: $$x>y$$ $$⇔ x-y > 0$$ $$⇔ -z > 0$$ by the original condition $$⇔ z < 0$$ This is the same as condition 2). Condition 1) If $$x = -1, y = -2$$, and $$z = -1, x > y$$, and the answer is ‘yes’. If $$x = -2, y = -1$$, and $$z = 1, x < y$$, and the answer is ‘no’. Condition 1) is not sufficient since the question does not have a unique answer. Therefore, B is the answer. Answer: B _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 1 month Online Course"
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Re: If x=y-z, is x>y?  [#permalink]

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29 Mar 2019, 00:24
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Re: If x=y-z, is x>y?   [#permalink] 29 Mar 2019, 00:24
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