Question

a , b , c , d are four consecutive perfect squares. What is the number of odd numbers in between a and d?

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

Number whole numbers between two consecutive perfect squares m and n is $2\sqrt{m}$ in that half of the numbers are odd and the rest are even.
So, number of odd numbers $=\sqrt{m}$
So, in the given problem between perfect squares a and d, there will be $\sqrt{a}+\sqrt{b}+\sqrt{c}$ non - perfect odd number squares.
Between a and d, either b or c will be odd.
So the total number of odd numbers between a and d is $\sqrt{a}+\sqrt{b}+\sqrt{c}+1$.