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Integers remainder

Expert replies
by heshamelaziry » Fri Aug 28, 2009 10:34 am
WHEN THE POSITIVE INTEGER N IS DIVIDED BY 25, THE REMAINDER IS 13. WHAT IS THE THE VALUE OF N?

1) N < 100
2) WHEN N IS DIVIDED BY 20, THE REMAINDER IS 3.
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Source: — Problem Solving |

by bharathh » Fri Aug 28, 2009 11:03 am
Ans C

Statement I

13,38,63,88 all meet the conditions ... So insufficient

Statement II

63 meets the condition from above ... but who knows how many more numbers in the equation 25x + 13 where x >= 0 give a reminder of 3

So insufficient

However if n < 100 we know that only 63 meets all the given conditions. Using both I and II we know the value of N

Thus C
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by tohellandback » Tue Sep 01, 2009 12:03 am
IMO C
1)numbers 13,38,63,88 are possible
NOT SUFF

2) all numbers 63+ 100n are possible where n>=0
NOT SUFF
when combined
only 63 is possible
SUFF
The powers of two are bloody impolite!!
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