In a certain code language, ‘GALE’ is coded as ‘7513’ and ‘FLEA’ is coded as ‘5197’. What is the code for ‘F’ in that language?

The correct option is 9.

To find the code for the letter 'F', let us analyze the given coded words step-by-step by comparing their letters and corresponding code digits.

1. We are given:
'GALE' is coded as '7513'
'FLEA' is coded as '5197'

2. Identify the common letters between both words 'GALE' and 'FLEA':
The common letters present in both 'GALE' and 'FLEA' are 'G', 'A', 'L', and 'E' except for 'G' and 'F'.
Specifically, the letters 'A', 'L', and 'E' appear in both words.

3. Identify the common digits between both numerical codes '7513' and '5197':
The common digits present in both '7513' and '5197' are 7, 5, and 1.

4. Determine the unique letter and digit:
Since the letters 'A', 'L', and 'E' correspond to the set of digits {7, 5, 1}, the remaining unique letter in 'FLEA' must correspond to the remaining unique digit in its code ('5197').

In 'FLEA', the unique letter not found in 'GALE' is 'F'.
In the code '5197', the unique digit not present in '7513' is 9.

Therefore, the code for the letter 'F' is 9.