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6
6
Part of
2002 Stanford Mathematics Tournament
Problems
(1)
SMT 2002 Algebra #6
Source:
6/27/2012
How many integers
x
x
x
, from
10
10
10
to
99
99
99
inclusive, have the property that the remainder of
x
2
x^2
x
2
divided by
100
100
100
is equal to the square of the units digit of
x
x
x
?
modular arithmetic