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13 Apr 2022, 05:30
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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:
78% (01:01) correct
22%
(02:27)
wrong
based on 27
sessions
History
Date
Time
Result
Not Attempted Yet
What is the value of x^2 ?
(1) y(2x + y) = 32
(2) (x + y)^2 = 36
(1) y(2x + y) = 32
(2) (x + y)^2 = 36
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
14 Apr 2022, 10:16
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Step 1: Analyse Question Stem
We need to find the value of \(x^2\).
Step 2: Analyse Statements Independently (And eliminate options) – AD / BCE
Statement 1: y(2x + y) = 32
Simplifying the LHS, 2xy + \(y^2\) = 32.
We have no information about y or x, therefore, the value of x^2 cannot be calculated.
Statement 1 alone is insufficient. Answer options A and D can be eliminated.
Statement 2:\( (x + y)^2\) = 36
Expanding using standard algebraic identities, \(x^2\) + 2xy + \(y^2\) = 36
\(x^2\) = 36 – (2xy + \(y^2\))
Without data about (2xy + \(y^2\)), the value of \(x^2\) cannot be calculated.
Statement 2 alone is insufficient. Answer option B can be eliminated.
Step 3: Analyse Statements by combining
From statement 1: 2xy + \(y^2\) = 32
From statement 2: \(x^2\) = 36 – (2xy + \(y^2\)\(\))
Substituting the value of the expression as 32, we have \(x^2\) = 4.
The combination of statements is sufficient. Answer option E can be eliminated.
The correct answer option is C.
We need to find the value of \(x^2\).
Step 2: Analyse Statements Independently (And eliminate options) – AD / BCE
Statement 1: y(2x + y) = 32
Simplifying the LHS, 2xy + \(y^2\) = 32.
We have no information about y or x, therefore, the value of x^2 cannot be calculated.
Statement 1 alone is insufficient. Answer options A and D can be eliminated.
Statement 2:\( (x + y)^2\) = 36
Expanding using standard algebraic identities, \(x^2\) + 2xy + \(y^2\) = 36
\(x^2\) = 36 – (2xy + \(y^2\))
Without data about (2xy + \(y^2\)), the value of \(x^2\) cannot be calculated.
Statement 2 alone is insufficient. Answer option B can be eliminated.
Step 3: Analyse Statements by combining
From statement 1: 2xy + \(y^2\) = 32
From statement 2: \(x^2\) = 36 – (2xy + \(y^2\)\(\))
Substituting the value of the expression as 32, we have \(x^2\) = 4.
The combination of statements is sufficient. Answer option E can be eliminated.
The correct answer option is C.
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