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Updated on: 02 Sep 2019, 23:55
Originally posted by freedom128 on 01 Sep 2019, 16:35.
Last edited by freedom128 on 02 Sep 2019, 23:55, edited 3 times in total.
Last edited by freedom128 on 02 Sep 2019, 23:55, edited 3 times in total.
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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)!
Difficulty:
65%
(hard)
Question Stats:
54% (01:41) correct
46%
(02:01)
wrong
based on 137
sessions
History
Date
Time
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Not Attempted Yet
If \(n\) is a non-zero integer, is \(\frac{2n^2+n+1}{n}\) an integer?
(1) 4 is divisible by \(n\)
(2) \(n\) is an even integer
(1) 4 is divisible by \(n\)
(2) \(n\) is an even integer
Updated on: 03 Sep 2019, 03:20
Originally posted by freedom128 on 01 Sep 2019, 16:55.
Last edited by freedom128 on 03 Sep 2019, 03:20, edited 12 times in total.
Last edited by freedom128 on 03 Sep 2019, 03:20, edited 12 times in total.
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First, simplify \(\frac{2n^2+n+1}{n} = 2n+1+\frac{1}{n}\).
In order \((2n+1+\frac{1}{n})\) to be an integer, \(\frac{1}{n}\) has to be integer. This can only be achieved if \(n\) is \(-1\) or \(1\) since \(n\) has to be a non-zero integer.
(1) 4 is divisible by \(n\)
This statement implies that \(n\) can be \(-4,-2,-1,1,2,4\). No additional information to ascertain whether \(n\) is either \(-1\) or \(1\).
NOT SUFFICIENT
(2) \(n\) is an even integer
This statement implies that \(n\) must not be either \(-1\) or \(1\).
SUFFICIENT
Answer is (B)
In order \((2n+1+\frac{1}{n})\) to be an integer, \(\frac{1}{n}\) has to be integer. This can only be achieved if \(n\) is \(-1\) or \(1\) since \(n\) has to be a non-zero integer.
(1) 4 is divisible by \(n\)
This statement implies that \(n\) can be \(-4,-2,-1,1,2,4\). No additional information to ascertain whether \(n\) is either \(-1\) or \(1\).
NOT SUFFICIENT
(2) \(n\) is an even integer
This statement implies that \(n\) must not be either \(-1\) or \(1\).
SUFFICIENT
Answer is (B)
01 Sep 2019, 17:02
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chondro48
Statement 2 says: n is an even integer. But If I use n=2 in the equation it does not result in an integer (4+2+1)/2=7/2=3.5.
So how is B sufficient ?
is humbly welcome 
