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# If xy≠0, is |x|>|y|？ 1) x=-2y 2) x=y^4

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 5662
GMAT 1: 800 Q59 V59
GPA: 3.82
If xy≠0, is |x|>|y|？ 1) x=-2y 2) x=y^4 [#permalink]

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17 Aug 2017, 00:52
00:00

Difficulty:

45% (medium)

Question Stats:

61% (01:12) correct 39% (01:23) wrong based on 114 sessions

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If xy≠0, is |x|>|y|？

1) x=-2y
2) x=y^4

_________________

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" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Senior Manager Joined: 05 Dec 2016 Posts: 260 Concentration: Strategy, Finance GMAT 1: 620 Q46 V29 Re: If xy≠0, is |x|>|y|？ 1) x=-2y 2) x=y^4 [#permalink] ### Show Tags 17 Aug 2017, 01:03 (1) from x=-2y it follows that in all cases |x|>|y| (2) x=y^4 case 1: 16=2^4 => |16|>|2| then YES case 2: 1/16=(1/2)^4 => |1/16|<|1/2| then NO Answer A. Manager Joined: 06 Jul 2014 Posts: 102 Location: India Concentration: Finance, Entrepreneurship GMAT 1: 640 Q48 V30 Re: If xy≠0, is |x|>|y|？ 1) x=-2y 2) x=y^4 [#permalink] ### Show Tags 17 Aug 2017, 01:14 If xy≠0, is |x|>|y|？ 1) x=-2y 2) x=y^4 Statement 1: How is the first statement sufficient? Director Status: I don't stop when I'm Tired,I stop when I'm done Joined: 11 May 2014 Posts: 553 Location: Bangladesh Concentration: Finance, Leadership GPA: 2.81 WE: Business Development (Real Estate) Re: If xy≠0, is |x|>|y|？ 1) x=-2y 2) x=y^4 [#permalink] ### Show Tags 17 Aug 2017, 04:58 1 Top Contributor Bounce1987 wrote: If xy≠0, is |x|>|y|？ 1) x=-2y 2) x=y^4 Statement 1: How is the first statement sufficient? Here is my point: Statement 1 : x=-2y ,or $$\frac{x}{y}$$=-2 ;here x is divided by y and the remainder =0,so y must be a factor of x and whether x or y is positive or negative, |x|>|y| ;Sufficient Thanks. _________________ Md. Abdur Rakib Please Press +1 Kudos,If it helps Sentence Correction-Collection of Ron Purewal's "elliptical construction/analogies" for SC Challenges Senior Manager Joined: 06 Jul 2016 Posts: 421 Location: Singapore Concentration: Strategy, Finance Re: If xy≠0, is |x|>|y|？ 1) x=-2y 2) x=y^4 [#permalink] ### Show Tags 17 Aug 2017, 05:15 MathRevolution wrote: If xy≠0, is |x|>|y|？ 1) x=-2y 2) x=y^4 1) x = -2y => x = 2, y = -1 => x = -1, y = $$\frac{1}{2}$$ In both cases |x| > |y| Hence, Sufficient. 2) x = $$y^4$$ x = 16, y = 2 => |x| > |y| -> YES x = 1, y = 1 => |x| = |y| -> NO Insufficient. A is the answer _________________ Put in the work, and that dream score is yours! Intern Joined: 15 Mar 2017 Posts: 42 Location: India Concentration: International Business, Strategy GMAT 1: 720 Q50 V37 GPA: 4 Re: If xy≠0, is |x|>|y|？ 1) x=-2y 2) x=y^4 [#permalink] ### Show Tags 17 Aug 2017, 07:40 Statement 1: x= -2y Therefore |-2y| will always be greater than y Sufficient Statement 2: x=y^4 2 cases: y>1, y<1 when y>1 |x|>|y| when y<1 |x|<|y| Not sufficient Hence A _________________ You give kudos, you get kudos. :D Manager Joined: 12 Feb 2017 Posts: 71 Re: If xy≠0, is |x|>|y|？ 1) x=-2y 2) x=y^4 [#permalink] ### Show Tags 17 Aug 2017, 11:15 xy≠0 ---- (given) we have to find whether |x|>|y| Now consider |x|>|y| |x|>|y| can also be written as |x|/|y| > 1 i.e. x/y > +1 or x/y < -1 Now, 1) x= -2y X/y = -2. here x/y is less than -1; this information is sufficient to answer the question. Hence 1) is sufficient. 2) x=y^4 therefore x/y = y^3. as we don't know anything about y, we can not predict value of x/y. Hence 2) is insufficient. Therefore Answer is A. Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 5662 GMAT 1: 800 Q59 V59 GPA: 3.82 Re: If xy≠0, is |x|>|y|？ 1) x=-2y 2) x=y^4 [#permalink] ### Show Tags 20 Aug 2017, 19:07 =>Condition 1) |x| = |-2y| = 2|y| > |y|. Thus this is sufficient. Condition 2) If y = 2, then x = 16 and so |x| > |y|. If y = ½, then x = 1/16 and so |x| < |y|. This is not sufficient. Ans: A _________________ 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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SVP
Joined: 26 Mar 2013
Posts: 1682
Re: If xy≠0, is |x|>|y|？ 1) x=-2y 2) x=y^4 [#permalink]

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18 Jun 2018, 03:16
MathRevolution wrote:
If xy≠0, is |x|>|y|？

1) x=-2y
2) x=y^4

1) x=-2y

the question is : |-2y|>|y|?

Sufficient

2) x=y^4

the question is : |y^4|>|y|......It depends

If y is integer..........Answer is Yes

If y is fraction..........Answer is No

Insufficient

Re: If xy≠0, is |x|>|y|？ 1) x=-2y 2) x=y^4   [#permalink] 18 Jun 2018, 03:16
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