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805+ Level|   Algebra|      
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duahsolo
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If x is an integer, is √(3x - y) = √(2x – 2y)? (1) x – y = 2 (2) x + Updated on: 21 Feb 2017, 04:59
Originally posted by duahsolo on 26 Oct 2016, 03:32.
Last edited by Bunuel on 21 Feb 2017, 04:59, edited 1 time in total.
Edited the OA.
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

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95% (hard)

Question Stats:

36% (02:02) correct 64% (02:30) wrong based on 87 sessions

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If x is an integer, is √(3x - y) = √(2x – 2y)? (Source: Bell Curves)

(1) x – y = 2
(2) x + y = 4
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B
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If x is an integer, is √(3x - y) = √(2x – 2y)? (1) x – y = 2 (2) x + Updated on: 21 Feb 2017, 04:30
Originally posted by GMATinsight on 26 Oct 2016, 06:53.
Last edited by GMATinsight on 21 Feb 2017, 04:30, edited 1 time in total.
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duahsolo
If x is an integer, is √(3x - y) = √(2x – 2y)? (Source: Bell Curves)

(1) x – y = 2
(2) x + y = 4
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Question: is √(3x - y) = √(2x – 2y)?

Is (3x - y) = (2x – 2y)?
Is (x) = (–y)?
Is x+y = 0?

Statement 1: x – y = 2
Case 1: x=1 and y=-1 i.e. x+y = 0
Case 2: x=3 and y=1 i.e. x+y = 4
NOT SUFFICIENT

Statement 2: x + y = 4
SUFFICIENT

Answer: Option B
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If x is an integer, is √(3x - y) = √(2x – 2y)? (1) x – y = 2 (2) x + 21 Feb 2017, 04:24
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Hi,

The official answer is given as D but gmatinsight has written A.what is the correct answer?
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If x is an integer, is √(3x - y) = √(2x – 2y)? (1) x – y = 2 (2) x + 21 Feb 2017, 04:32
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Ghu
Hi,

The official answer is given as D but gmatinsight has written A.what is the correct answer?
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The answer should be Option B for the given question. I typed A instead of B earlier. have made correction
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If x is an integer, is √(3x - y) = √(2x – 2y)? (1) x – y = 2 (2) x + 21 Feb 2017, 04:37
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What is the OE? I think the answer should be C. Bunuel can you help.?
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If x is an integer, is √(3x - y) = √(2x – 2y)? (1) x – y = 2 (2) x + 21 Feb 2017, 04:52
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adityapareshshah
What is the OE? I think the answer should be C. Bunuel can you help.?
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Ho ahead and post your solution please.
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If x is an integer, is √(3x - y) = √(2x – 2y)? (1) x – y = 2 (2) x + 21 Feb 2017, 04:59
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Ghu
Hi,

The official answer is given as D but gmatinsight has written A.what is the correct answer?
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The OA is B. GMATinsight's solution above is spot on.
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If x is an integer, is √(3x - y) = √(2x – 2y)? (1) x – y = 2 (2) x + 01 Nov 2019, 07:23
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If x is an integer, is √(3x - y) = √(2x – 2y)? (Source: Bell Curves)

(1) x – y = 2
(2) x + y = 4
Show more

Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.
Visit https://www.mathrevolution.com/gmat/lesson for details.

The first step of the VA (Variable Approach) method is to modify the original condition and the question. We then recheck the question. We should simplify conditions if necessary.

The question asks if \(x + y = 0\).

\(\sqrt{3x-y} = \sqrt{2x-2y}\)
\(⇔ 3x-y = 2x - 2y\)
\(⇔ x + y = 0\)

Since condition 2) "\(x+y=4\)" tells the answer is 'no' and 'no' is also a unique answer by CMT (Common Mistake Type) 1, condition 2) is sufficient.

Condition 1)
If \(x = 1\) and \(y = -1\), then we have \(x + y = 0\) and the answer is 'yes'.
If \(x = 2\) and \(y = 0\), then we have \(x + y = 2\) and the answer is 'no'.

Since condition 1) does not yield a unique solution, it is not sufficient

Therefore, B is the answer.
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If x is an integer, is √(3x - y) = √(2x – 2y)? (1) x – y = 2 (2) x + 05 Aug 2023, 01:32
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