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How many distinct digits can appear as the units digit of an integral perfect-square number?

 Apr 25, 2019

E.g. 64, 144, 484 all are Perfect Square having the unit digit 4 and the tens digit is even. E.g. 25, 225, 625,1225 all are Perfect Square having the unit digit 5 and the tens digit is 2. – If unit digit of a perfect square is 6 then ten's digit has to be Odd.

What 2-digit number is the square of its units digit? You know the number is a two-digit and has to be the square of a 1 digit number, so there are six possible numbers.16, 25, 36, 49, 64, and 81 all other squares of one digit numbers are 1 digit numbers.

or go here https://wordpandit.com/unit-digit-of-perfect-square/.

 Apr 25, 2019

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