Complex Modulo

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Complex Modulo
Found by Rosalinchrest
City
State Minnesota
Country United States
Continent North America
Posted on Mar 7, 2005
Map Location 46° 1' 42" N, 95° 48' 55" W
Numbers 76, 77, 78, 10, 1
Type Advanced
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The sign below was found by my mother on a recent drive down I-94. She was doing some Road Sign Math hunting and came across this sign and found the combination of numbers very compelling. This had to be a winning sign she thought, but she didn't see how. Not one to give up quickly she took the picture anyway and decided to leave it to further analysis.

20050307-Complex-Modulo.gif

Did you find it yet? This one is not easy. There are a lot of numbers here, rather big numbers at that. Too many numbers to just subtract two and get 1 as we can do on many signs. The answer to this sign eludes you for a long time. However, there are two numbers on here that ultimately give us the solution. The 1 is always tempting in Road Sign Math. There are many ways to get to a one, but nothing seemed to fit here. The 10 is also very compelling since it can be used in so many ways. The answer then becomes clear!

(76 + 77 + 78) \bmod 10 = 1

The 10 and the 1 are the key. Adding 76, 77 and 78 yields 231 which results in 1 after applying modulo 10. Voila! Valid sign.

This sign was found on I-94 westbound in Minnesota.

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