¶ 1994 AMC8 Problem 15
¶ nan
Problem:
If this path is to continue in the same pattern:
then which sequence of arrows goes from point to point
Answer Choices:
A. 
B. 
C. 
D. 
E. 
Solution:
The path repeats every four numbers. Since leaves a remainder of when divided by and leaves a remainder of when divided by , it follows that the pattern from point to point is the same as that from point to point .
The pattern starts over every four numbers, that is, at , etc. All the multiples of are in the same position in their section of the pattern, so draw the portion of the diagram using the multiple of just less than .
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Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions