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31 Dec 2022, 03:43
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
76% (01:39) correct
24%
(01:57)
wrong
based on 50
sessions
History
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Time
Result
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Is |x^2 - y^2| < 15?
(1) |x - y| < 3
(2) |x + y| < 5
(1) |x - y| < 3
(2) |x + y| < 5
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
04 Jan 2023, 12:33
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statement I
|x+y|<5
i.e x+y<5------------1
-x-y<5--------------2
no info about individual value of x and y
insufficient
Statement II
|x-y|<3
i.e
x-y<3----------3
-x+y<3------------4
no individual value of x and y
insufficient
statement I & II
solving eq 1,2,3,and 4
we get -4<x<4 and 1<y<4
for any value of x and y satisfying inequality
we get |x^2 - y^2| < 15
therefore sufficient
OPTION C correct
|x+y|<5
i.e x+y<5------------1
-x-y<5--------------2
no info about individual value of x and y
insufficient
Statement II
|x-y|<3
i.e
x-y<3----------3
-x+y<3------------4
no individual value of x and y
insufficient
statement I & II
solving eq 1,2,3,and 4
we get -4<x<4 and 1<y<4
for any value of x and y satisfying inequality
we get |x^2 - y^2| < 15
therefore sufficient
OPTION C correct
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