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• ### $450 Tuition Credit & Official CAT Packs FREE December 15, 2018 December 15, 2018 10:00 PM PST 11:00 PM PST Get the complete Official GMAT Exam Pack collection worth$100 with the 3 Month Pack ($299) # If y ≠ 0, is y > 0? (1) |y| > 1 (2) y^2 + y/y^2 > 1  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: ### Hide Tags Math Expert Joined: 02 Sep 2009 Posts: 51218 If y ≠ 0, is y > 0? (1) |y| > 1 (2) y^2 + y/y^2 > 1 [#permalink] ### Show Tags 13 Apr 2018, 01:10 00:00 Difficulty: 25% (medium) Question Stats: 73% (01:11) correct 27% (01:34) wrong based on 106 sessions ### HideShow timer Statistics If y ≠ 0, is y > 0? (1) $$|y| > 1$$ (2) $$\frac{y^2 + y}{y^2} > 1$$ _________________ Intern Joined: 28 Apr 2014 Posts: 49 GMAT 1: 640 Q50 V25 If y ≠ 0, is y > 0? (1) |y| > 1 (2) y^2 + y/y^2 > 1 [#permalink] ### Show Tags Updated on: 13 Apr 2018, 02:19 IMO B St1 y>1 or y<-1 insufficient St2 y^2+y>y^2 (sq quantity is +ve) y>0 sufficient Originally posted by NiharikaR on 13 Apr 2018, 01:13. Last edited by NiharikaR on 13 Apr 2018, 02:19, edited 1 time in total. Math Expert Joined: 02 Aug 2009 Posts: 7107 Re: If y ≠ 0, is y > 0? (1) |y| > 1 (2) y^2 + y/y^2 > 1 [#permalink] ### Show Tags 13 Apr 2018, 02:15 Bunuel wrote: If y ≠ 0, is y > 0? (1) $$|y| > 1$$ (2) $$\frac{y^2 + y}{y^2} > 1$$ NiharikaR, ans should be B.. (1) $$|y| > 1$$ tells us that y<-1 or y>1 insuff (2) $$\frac{y^2 + y}{y^2} > 1$$.. Cross multiply as y^2 is POSITIVE $$y^2 + y > y^2.............y>y^2-y^2.......y>0$$.. suff B _________________ 1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html GMAT online Tutor Intern Joined: 28 Apr 2014 Posts: 49 GMAT 1: 640 Q50 V25 If y ≠ 0, is y > 0? (1) |y| > 1 (2) y^2 + y/y^2 > 1 [#permalink] ### Show Tags 13 Apr 2018, 02:27 Thanks. I read the question wrong. I thought its asking y>1. Though I got y>0, I wrote insufficient. I have to avoid such silly mistakes during exam Intern Joined: 10 Jan 2017 Posts: 7 Location: India Concentration: Social Entrepreneurship, General Management WE: Information Technology (Computer Software) Re: If y ≠ 0, is y > 0? (1) |y| > 1 (2) y^2 + y/y^2 > 1 [#permalink] ### Show Tags 13 Apr 2018, 05:12 I ) |y| > 1 y>1 y <-1 not sufficient II) $$y^2+y/y^2$$ > 1 y^2/y^2 + y/y^2 > 1 1 + 1/y >1 ==> 1/y >0 ==> y>0 sufficient Therefore B Director Joined: 02 Oct 2017 Posts: 728 Re: If y ≠ 0, is y > 0? (1) |y| > 1 (2) y^2 + y/y^2 > 1 [#permalink] ### Show Tags 28 Apr 2018, 05:29 I) y could be 2 or -2 Insufficient II) rewriting eqn 1+(1/y)>1 1/y>0 Y>0 So b is ANS Posted from my mobile device _________________ Give kudos if you like the post Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6639 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: If y ≠ 0, is y > 0? (1) |y| > 1 (2) y^2 + y/y^2 > 1 [#permalink] ### Show Tags 30 Apr 2018, 11:39 Bunuel wrote: If y ≠ 0, is y > 0? (1) $$|y| > 1$$ (2) $$\frac{y^2 + y}{y^2} > 1$$ 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. Since we have 1 variable (y) and 0 equations, D is most likely to be the answer. So, we should consider each of the conditions on their own first. Condition 1) If $$y = 1$$, then $$y > 0$$. The answer is "yes". If $$y = -1$$, then $$y < 0$$. The answer is "no". Since we don't have a unique solution, the condition 1) is not sufficient. Condition 2) $$\frac{y^2 + y}{y^2} > 1$$ $$⇔ y^2 + y > y^2$$ $$⇔ y > 1$$ Then we have $$y > 0$$. Condition 2) is sufficient. Therefore, B is the answer. If the original condition includes “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations” etc., one more equation is required to answer the question. If each of conditions 1) and 2) provide an additional equation, there is a 59% chance that D is the answer, a 38% chance that A or B is the answer, and a 3% chance that the answer is C or E. Thus, answer D (conditions 1) and 2), when applied separately, are sufficient to answer the question) is most likely, but there may be cases where the answer is A,B,C or E. _________________ 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$99 for 3 month Online Course"
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Re: If y ≠ 0, is y > 0? (1) |y| > 1 (2) y^2 + y/y^2 > 1 &nbs [#permalink] 30 Apr 2018, 11:39
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