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n when divided by 5

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by sanju09 » Fri Feb 27, 2009 4:55 am
A certain integer n when divided by 5 yields a remainder of 4. Which of these cannot be an integer?

A. n / 9
B. n / 10
C. n / 14
D. n / 19
E. n / 24
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by mjjking » Fri Feb 27, 2009 5:05 am
Answer is n/10, because if n/5 is not an integer, n divided by any number whose factors contain a 5 cannot possibly be an integer.
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by krisraam » Fri Feb 27, 2009 2:39 pm
we can write n as

n = 5q+4

5q+4 is not divisible by 10. It will always be leave a remainder of 9 and 4

Thanks
raama
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