The number of positive integers not exceeding $100$ that are either odd or the square of an integer is _______
Required numbers = n(Odd numbers) + n(Square of integers) – n(odd number & square of integer)
From $1$ to $100$ there are $50$ odd and $50$ even numbers
Square of integers = $1,4,9,16,25,64,49,64,81,100$ = $10$ numbers
Both odd & square of integer= $1,9,25,49,81 = 5$ numbers
Hence required numbers= $50+10-5 = 55$
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