Question

How many non-perfect squares lie in between ${75}^2$ and ${76}^2$ ?

• A. 75
• B. 100
• C. 125
• D. 150

Answer 1

The correct option is D

150

Between the squares of any two consecutive numbers n and (n+1), lie 2n non-perfect squares.
Therefore between squares of 75 and 76 (n = 75 and n + 1 = 76), lie (2 x 75) = 150 non-perfect squares.