The even square numbers between 20 and 120 are 36, 64, and 100. These correspond to the squares of the even integers 6, 8, and 10, respectively.
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The subset of counting numbers between 0 and 120, inclusive, that are even, divisible by 5, and the square of one of the counting numbers are 0 and 100.Zero is included in this answer because, as of around the 1900's, it was added to the set of counting numbers, said set originally starting with one.
The even numbers between 110 and 125 are: 110, 112, 114, 116, 118, 120, 122, 124
There are no numbers between 108 and 120 that have an even ten's digit. If you call 'zero' an even number, then ' 109 ' would qualify. But the whole exercise is still not too satisfying.
If you calculate those square roots, you can count the integers in between pretty fast.
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