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Bunuel
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Bunuel
How many non-negative integers less than 81 are NOT equal to squares of non-negative integers ?

(A) 9
(B) 70
(C) 71
(D) 72
(E) 73

­
Key things to note:

Non negative numbers start from 0 till positive infinity.

Perfect square includes number of the form n^2 , and where n is a non negative number. So, it includes Zero (0).

List of non negative numbers less than 81 include all numbers from 0 ( non negative ) to 80 (Less Than 81).

Total numbers = (80-0)+1 = 81 numbers.

Lets now look at the squares less than 81 = 0, 1, 4, 9, 16, 25, 36, 49, 64

A total of 9 such numbers exists.

Non negative numbers less than 80, but that are not perfect squares = 81 - 9= 72 numbers.

Option D
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