grandh01 wrote:If x + y >0, is x > |y|?
If x+y>0 then either x, y or both will be positive. (at least one will positive and greater than zero)
(1) x > y
If x >y then x is positive. Y can be either negative or positive
If y>0 then x would have to be greater than absolute value of y for example x is 36 whereas y is 15.
If y<0 then it cannot be greater than the absolute value of x. For example if x is 36 then y cannot be less than -36 as it would not satisfy the x+y statement. Hence absolute value of y would be less than 36. Therefore x>abs y
(2) y <0
Since y <0 then x would be positive and absolute value of y cannot be less than x
Therefore both equations are sufficient on their own.
OA is D
BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course
Redeem
Featured Course
Target Test Prep GMAT OnDemand
Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.
- 715+ score guarantee — highest in the industry (99th percentile)
- 52 chapters · 1,500+ lessons · 4,000+ practice questions
- 400 hours of video · 1,500+ instructor-led HD smartboard lessons
- 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
- 24/7 live support + weekly Zoom office hours with GMAT instructors
- TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
- 1,200+ flashcards + AI-powered study assistant & daily calendar
- OnDemand, LiveTeach & GMAT Bootcamp formats available
- Also: GRE, SAT Math & Executive Assessment courses
- MBA Admissions Consulting now available
- 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
- 200,000+ students served
- 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★
5.0
(559 reviews)
130-pt guarantee
$0 to start
then $127/mo
x > |y|?
Source: Beat The GMAT — Data Sufficiency |
GMAT/MBA Expert
-
Anurag@Gurome
- GMAT Instructor
- Posts: 3835
- Location: Milpitas, CA
- Thanked: 1854 times
- GMAT Score:770
given: x + y > 0.
let us take the 1st option x > y.
1. if x > 0, y >= 0 then x + y > 0. As x > y so will be x > |y|.
if x > 0, y < 0. for x + y > 0. positive value should be more than negative value.
x + y > 0 can be written as X - |y| > 0 -> x > |y|
2. if x < 0, y will be less than zero (as x > y). so x + y will be negative. so you can eliminate this case.
so it can be answered by option 1 alone.
let us take the 2nd option y < 0.
x + y > 0. Only when x is positive.
so x + y > 0 can be written as x - |y| > 0. => x > |y|
so it can be answered by option 2 alone.
hence, it is D
let us take the 1st option x > y.
1. if x > 0, y >= 0 then x + y > 0. As x > y so will be x > |y|.
if x > 0, y < 0. for x + y > 0. positive value should be more than negative value.
x + y > 0 can be written as X - |y| > 0 -> x > |y|
2. if x < 0, y will be less than zero (as x > y). so x + y will be negative. so you can eliminate this case.
so it can be answered by option 1 alone.
let us take the 2nd option y < 0.
x + y > 0. Only when x is positive.
so x + y > 0 can be written as x - |y| > 0. => x > |y|
so it can be answered by option 2 alone.
hence, it is D
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
