Forum Home > GMAT > Quantitative > Problem Solving (PS)
Events & Promotions
|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Dec 1511:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease.
Dec 1410:00 AM EST
-12:00 PM EST
Think a 100% GMAT Verbal score is out of your reach? Target Test Prep will make you think again! Our course uses techniques such as topical study and spaced repetition to maximize knowledge retention and make studying simple and fun.- Dec 14
11:00 AM IST
-01:00 PM IST
Attend this session to learn how to Deconstruct arguments, Pre-Think Author’s Assumptions, and apply Negation Test. 
Dec 1608:00 AM PST
-11:59 PM PST
GMAT Club 12 Days of Christmas is a 4th Annual GMAT Club Winter Competition based on solving questions. This is the Winter GMAT competition on GMAT Club with an amazing opportunity to win over $40,000 worth of prizes!- Dec 17
09:00 AM PST
-10:00 AM PST
Join Manhattan Prep instructor Whitney Garner for a fun—and thorough—review of logic-based (non-math) problems, with a particular emphasis on Data Sufficiency and Two-Parts. - Dec 18
10:00 AM PST
-11:00 AM PST
Here is the essential guide to securing scholarships as an MBA student! In this video, we explore the various types of scholarships available, including need-based and merit-based options.
23 Nov 2017, 08:46
Kudos
Bookmarks
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
70% (01:12) correct
30%
(01:06)
wrong
based on 43
sessions
History
Date
Time
Result
Not Attempted Yet
23 Nov 2017, 09:08
Kudos
Bookmarks
(1) x-5 > y-5 .. we can cancel -5 from both sides. This gives us x > y. Sufficient.
(2) x^2 > xy or x^2 - xy > 0 or x*(x-y) > 0
This means either both x>0 and x-y>0 OR both x<0 and x-y<0
So either x>0 & x>y OR x<0 and x<y. So we cannot be sure whether x>y or x<y. Not sufficient.
So A answer
(2) x^2 > xy or x^2 - xy > 0 or x*(x-y) > 0
This means either both x>0 and x-y>0 OR both x<0 and x-y<0
So either x>0 & x>y OR x<0 and x<y. So we cannot be sure whether x>y or x<y. Not sufficient.
So A answer
Updated on: 17 May 2021, 08:32
Originally posted by BrentGMATPrepNow on 03 Apr 2020, 10:55.
Last edited by BrentGMATPrepNow on 17 May 2021, 08:32, edited 1 time in total.
Last edited by BrentGMATPrepNow on 17 May 2021, 08:32, edited 1 time in total.
Kudos
Bookmarks
Bunuel
Is x > y?
(1) x - 5 > y - 5
(2) x²> xy
(1) x - 5 > y - 5
(2) x²> xy
Target question: Is x > y?
Statement 1: x - 5 > y - 5
Add 5 to both sides of the inequality to get: x > y
The answer to the target question is YES!
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: x² > xy
Important: It may be tempting to divide both sides of the inequality by x. However, since we don't know whether x is POSITIVE or NEGATIVE, we don't know whether we need to REVERSE the direction of the inequality symbol.
For more on this see the video below
There are several values of x and y that satisfy statement 2. Here are two:
Case a: x = 2 and y = 1. In this case, the answer to the target question is YES, it's true that x > y
Case b: x = -2 and y = 1. In this case, the answer to the target question is NO, it's not true that x > y
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT
Answer: A
Cheers,
Brent
RELATED VIDEO
