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B
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Difficulty:
55%
(hard)
Question Stats:
57% (01:37) correct
43%
(01:57)
wrong
based on 391
sessions
History
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If \(y = \sqrt{5-x}\) where x and y are positive integers, what is the remainder when x is divided by 5?
(1) x < 5
(2) y > 1
Another question from me. No OA as this is my own question. Please let me know if you dont agree with my answer and if so, the reason..
. Here goes..
Source : Me..
(1) x < 5
(2) y > 1
Another question from me. No OA as this is my own question. Please let me know if you dont agree with my answer and if so, the reason..
. Here goes..Source : Me..
My Answer is B
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 Dec 2012, 04:52
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If \(y = \sqrt{5-x}\) where x and y are positive integers, what is the remainder when x is divided by 5?
Since square root from a negative number is undefined and \(y\) is a positive integer, then \(5-x>0\) --> \(x<5\). Since also given that \(x\) is positive, then \(0<x<5\), thus \(x\) could be 1, 2, 3 or 4. Now, \(y\) would be an integer only for \(x=1\) or \(x=4\).
If \(x=1\), then \(y=2\).
If \(x=4\), then \(y=1\).
(1) x < 5. Not sufficient.
(2) y > 1 --> \(y=2\) --> \(x=1\). Sufficient.
Answer: B.
Since square root from a negative number is undefined and \(y\) is a positive integer, then \(5-x>0\) --> \(x<5\). Since also given that \(x\) is positive, then \(0<x<5\), thus \(x\) could be 1, 2, 3 or 4. Now, \(y\) would be an integer only for \(x=1\) or \(x=4\).
If \(x=1\), then \(y=2\).
If \(x=4\), then \(y=1\).
(1) x < 5. Not sufficient.
(2) y > 1 --> \(y=2\) --> \(x=1\). Sufficient.
Answer: B.
11 Dec 2012, 10:47
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MacFauz
Sq root of a neg number is not defined, hence 5-x >0 or x<5 now x is a positive integer hence X lies between 1 & 5 .
1) X<5 - Already determined , but not sufficient
2) y>1 - next integer y= 2 ; => x = 1
Hence remainder when X divided by 5 is 1
Ans B
