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21 Jan 2020, 04:29
Kudos
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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:
5%
(low)
Question Stats:
86% (00:51) correct
14%
(01:27)
wrong
based on 202
sessions
History
Date
Time
Result
Not Attempted Yet
What is the value of (x + y)^2
(1) x^2 + xy = 3
(2) y^2 + yx = 5
(1) x^2 + xy = 3
(2) y^2 + yx = 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
21 Jan 2020, 04:34
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Bunuel
Question: Value of \((x+y)^2 =\) ?
Statement 1: x^2 + xy = 3
i.e. x(x+y) = 3
But we don't know whether x and y are integers or not hence
NOT SUFFICIENT
Statement 2: y^2 + yx = 5
i.e. y(x+y) = 5
But we don't know whether x and y are integers or not hence
NOT SUFFICIENT
Combining the two statements
x(x+y) = 3 and y(x+y) = 5
Adding both equations
\(x^2 + y^2 + 2xy = 3+5 = 8\)
i.e. \((x+y)^2 = 8\)
SUFFICIENT
Answer: Option C
03 Jun 2024, 00:20
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