2021 JMPSC Sprint Problems/Problem 15: Difference between revisions
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==See also== | |||
#[[2021 JMPSC Sprint Problems|Other 2021 JMPSC Sprint Problems]] | |||
#[[2021 JMPSC Sprint Answer Key|2021 JMPSC Sprint Answer Key]] | |||
#[[JMPSC Problems and Solutions|All JMPSC Problems and Solutions]] | |||
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Revision as of 16:15, 11 July 2021
Problem
Find the last two digits of 
Solution
Note that 
and 
.
. 
Solution 2
By multiplying out several powers of 
, we can observe that the last 
digits are always 
(with the exception of 
where 
). Also, 
ends with several zeros, so the answer is 
.
~Mathdreams
See also
The problems on this page are copyrighted by the Junior Mathematicians' Problem Solving Competition. 
