If the 3 digit number AB9 is a perfect square then is A an odd digit?

If the 3 digit number AB9 is a perfect square then is A an odd digit?

Ques:- If the 3 digit number AB9 is a perfect square then is A an odd digit?
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One Answer on this Question

  1. A perfect square is a square number of a digit. eg 64 is a perfect number, a square of 8
    Now digits AB9 is a square number of a number.
    AB9 Can also be written as A multiply by B multiply by 9
    Get the Square root of AB9
    Assumption, A=1, B=1
    1*1=1=A, 1*1=1=B Therefore,
    Square root of A = A, B = B and 9=3
    Therefore
    An odd number is a number indivisible by 2.
    for example 1,3,5,7…….
    Therefore Squares A*B*9= AB9
    Where a=1, b=1, 3 as digits.
    Conclusion
    A=1 is an odd number

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