Question


The remainder of k69=1 how many values are possible for k if k is a natural number less than 50


Options:
A .   6
B .   20
C .   15
D .   32
E .   34
Answer: Option E
:
E

Option (e)


6 is the Euler’s number of 9 ,if you divide the 6th power of any number which is relatively prime with 9 , the remainder will be 1. answer = all numbers which are non-multiples of 3. there will be 503 multiples of 3. 50-16= 34 non-multiples of 3, which is the answer



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