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Which pair of consecutive squares has exactly 24 non-square numbers between them?

Class 8Properties of Square NumbersSquares and Roots

A $1 2^{2}$ and $1 3^{2}$
B $1 1^{2}$ and $1 2^{2}$
C $1 3^{2}$ and $1 4^{2}$
D $1 0^{2}$ and $1 1^{2}$

Step-by-Step Solution

Between

n^{2}

and

(n + 1)^{2}

there are

2 n

numbers.

2 n = 24

gives

n = 12

, i.e. between

1 2^{2}

and

1 3^{2}

.

Answer: A)

1 2^{2}

and

1 3^{2}

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