In a certain code language, ‘HEN’ is coded as ‘9’ and ‘AFTER’ is coded as ‘25’. How will ‘SMALLEST’ be coded in that language?

The correct option is 64.

To find the logic behind the coding language, let's analyze the relationship between the words and their corresponding codes:
1. ‘HEN’ is coded as ‘9’.
The word ‘HEN’ contains 3 letters (H, E, N).
Squaring the number of letters:
$3^2=9$

2. ‘AFTER’ is coded as ‘25’.
The word ‘AFTER’ contains 5 letters (A, F, T, E, R).
Squaring the number of letters:
$5^2=25$

Thus, the coding logic is that a word is coded as the square of the total number of letters it contains.

Applying this same logic to the word ‘SMALLEST’:
The word ‘SMALLEST’ consists of 8 letters (S, M, A, L, L, E, S, T).
Squaring the number of letters:
$8^2=64$

Therefore, ‘SMALLEST’ will be coded as 64.