Select the option that displays a different numerical pattern from the rest.

The correct answer is 8 : 54.

Step-by-step Explanation:

Let us analyze the numerical pattern followed by each pair:

1. First pair 4 : 16:

$4^2=16$

Here, the second number is the square of the first number.

2. Third pair 5 : 25:

$5^2=25$

Here again, the second number is the square of the first number.

3. Fourth pair 6 : 36:

$6^2=36$

This also follows the pattern where the second number is the square of the first number.

4. Second pair 8 : 54:

$8^2=64\ne 54$

The square of 8 is 64, not 54. Therefore, this pair does not follow the same pattern as the rest.

Thus, 8 : 54 displays a different numerical pattern from the rest.