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Difficulty:
75%
(hard)
Question Stats:
53% (02:09) correct
47%
(02:13)
wrong
based on 256
sessions
History
Date
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If x and y are integers, what is the value of y ?
(1) 2x = y, and x^3 = y^2
(2) y - x = 4, and x^2= 2y
(1) 2x = y, and x^3 = y^2
(2) y - x = 4, and x^2= 2y
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
11 Jun 2014, 03:43
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If x and y are integers, what is the value of y ?
(1) 2x = y, and x^3 = y^2 --> \(x^3 = (2x)^2\) --> \(x^2(x-4)=0\) --> \(x=0\) and \(y=0\) OR \(x=4\) and \(y=8\). Not sufficient.
(2) y - x = 4, and x^2= 2y --> \(x^2=2(x+4)\) --> \(x=-2\) and \(y=2\) OR \(x=4\) and \(y=8\). Not sufficient.
(1)+(2) Common solutions are \(x=4\) and \(y=8\). Sufficient.
Answer: C.
(1) 2x = y, and x^3 = y^2 --> \(x^3 = (2x)^2\) --> \(x^2(x-4)=0\) --> \(x=0\) and \(y=0\) OR \(x=4\) and \(y=8\). Not sufficient.
(2) y - x = 4, and x^2= 2y --> \(x^2=2(x+4)\) --> \(x=-2\) and \(y=2\) OR \(x=4\) and \(y=8\). Not sufficient.
(1)+(2) Common solutions are \(x=4\) and \(y=8\). Sufficient.
Answer: C.
13 Jun 2014, 07:29
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Bunuel
Why statement 1 is not enough ?
as per statement 1, 2x=y i.e. x=y/2 ---1
statement 1 also says, x^3 = y^2, so if we substitute 1 here, we get (y/2)^3 = y^2, solving this we get y = 8.
