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23 Dec 2010, 18:39
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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:
5%
(low)
Question Stats:
82% (00:30) correct
18%
(01:02)
wrong
based on 179
sessions
History
Date
Time
Result
Not Attempted Yet
If \(n=15!+13\), which of the following is a divisor of \(n\)?
A. 15
B. 14
C. 13
D. 7
E. 2
M03-20
A. 15
B. 14
C. 13
D. 7
E. 2
M03-20
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23 Dec 2010, 19:29
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rtaha2412
When we say 15!, it just means 1*2*3*4*5*...*13*14*15
So you need to find the integer which is a divisor of
(1*2*3*4*5*...*13*14*15 + 13) = 13 (1*2*3*4*5*...*12*14*15 + 1) We obtain this by taking 13 common.
Hence 13 is definitely a divisor of (15! + 13).
23 Dec 2010, 19:34
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It should be C. 15!+13= 13( 1*2*3*....12*14*15+1)
Therefore 13 is the answer
Therefore 13 is the answer
