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A even not divisible by 10, last 2 digits of A^20 (HOMC 2013 J Q4)

Source:

July 25, 2019
lastDigitsnumber theory

Problem Statement

Let AA be an even number but not divisible by 1010. The last two digits of A20A^{20} are:
(A): 4646, (B): 5656, (C): 6666, (D): 7676, (E): None of the above.