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3-digit perfect, increase by 1 each digit and remain perfect (HOMC 2013 Q1)

Source:

July 28, 2019
number theoryPerfect Square

Problem Statement

How many three-digit perfect squares are there such that if each digit is increased by one, the resulting number is also a perfect square?
(A): 11, (B): 22, (C): 44, (D): 88, (E) None of the above.