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23 Nov 2017, 08:46
Kudos
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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
Is x > y?
(1) x - 5 > y - 5
(2) x^2> xy
(1) x - 5 > y - 5
(2) x^2> xy
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
23 Nov 2017, 09:08
Kudos
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(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.
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Bunuel
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
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