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Solution
Let the perfect square numbers be 9,16,25,49,64,...
If 9 is divided by 6, then remainder = 3.
If 16 is divided by 6, then remainder = 4.
If 25 is divided by 6, then remainder = 1.
If 64 is divided by 6, then remainder = 4.
If 81 is divided by 6, then remainder = 3.
Hence, If a perfect square, not divisible by 6, be divided by 6, the remainder will be 1, 3 or 4.
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