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> Just Math> Science> Algorithms
Let N(x) be the number 122....221 where the digit 2 occurs x times.

Twice in the past we have determined the highest power of 11 that divides N(2001) is 11^3.

What is the smallest x for N(x) to be a multiple of 11^3? What about multiples of 11^4 and 11^5?
(No Solution Yet, 1 Comments) Submitted on 2017-05-24 by Brian Smith   
Difficulty: 3 of 5 Bonus: Mike and the Bike (in Logic) Rating: 2.29
Mike wanted to buy a bike, and he found one he liked at $20, so he bought it. The next day, a friend saw it and offered $30 dollars for it so Mike agreed. He later bought it back for $40. Again someone saw it and offered $50 and again Mike sold it. Mike finally rebought the bike for good for $60. Mike then took it to a bike show where a man told him the bike was worth $40.

Deciding to keep it, did Mike gain or lose money on the transactions? Count the bikes worth in the problem.

(Solution Posted, 42 Comments) Submitted on 2003-07-26 by Jon   
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