2005 iTest Problems/Problem 50
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Problem
When 
is divided by 
, a remainder of 
is obtained such that is between 
and 
inclusive. Find .
Solution 1
We notice a pattern: since remainders when divided by 5 repeat in cycles of 4 and there are 5 possible remainders the remainders of terms repeat every 20 terms. The remainder we seek will be 5 times this sum. Since the sum we seek is a multiple of 5, the we seek is equal to 
.
See Also
| 2005 iTest (Problems, Answer Key) | ||
| Preceded by: Problem 49 |
Followed by: Problem 51 | |
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