1.

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Answer»

Number divisible by 5 can be of the form:-

d = 5p + r,

where 0 ≤ r <5

If d = 5p, d² = 5m,

where m is some integer and m = 5p²

If d = 5p + 1, d² = 5m + 1

If d = 5p + 2, d² = 5m + 4

If d = 5p + 3, d² = 5m + 4

If d = 5p + 4, d² = 5m + 1

Therefore, the square of any positive integer cannot be in the form of 5m + 2 or 5m + 3 for any integer "m".



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