Find the sum of different 10th place digits of all perfect square numbers whose unit's place digits are perfect square.
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Sum of different 10th place digits would be 24.
Step-by-step explanation:
Get the two digit perfect square number as
4² = 16
5² = 25
6² = 36
7² = 49
8² = 64
9² = 81
Out of these perfect square numbers 16, 25, 36, ........
49 is the number in which 9 is the number at unit place is a perfect square of 3.
Similarly 64 is the second number in which 4 is the number at unit place is a perfect square of 2.
and 81 is the third number in which 1 is the number at unit place is a perfect square of 1.
Now the sum of different 10th place digits = 1 + 2 + 3 + 4 + 6 + 8 = 24
Therefore, sum of different 10th place digits would be 24.
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