6
Problems(2)
1997 MMO Grade 8 #6
Source:
10/3/2016
A banker learned that among similarly looking golden coins, exactly one is counterfeit and has less weight.
The banker asked an expert to determine the coin by means of a balance, and demanded each coin should participate in no more than two weightings in order to not wear out the coin, thereby losing market value. What is the largest number of coins the banker could have had, given that the expert successfully completed his task?
Grade 81997
1997 MMO Grade 10 #6
Source:
10/4/2016
Consider the sequence formed by the first digits of the powers of : Prove any segment in this sequence, when written in reversed order, will be encountered in the sequence of the first digits of the powers of
Grade 101997