In a certain code language, MOAT’ is coded as ‘8652’ and ‘TRAM’ is coded as ‘4256’.
What is the code for ‘R’ in the given code language?

The correct answer is 4.

To find the code for the letter ‘R’, let us compare the letters and their corresponding numeric codes given for the two words:

Word 1: ‘MOAT’ is coded as ‘8652’.
Word 2: ‘TRAM’ is coded as ‘4256’.

Let us identify the common letters present in both words:

1. The common letters between ‘MOAT’ and ‘TRAM’ are ‘M’, ‘A’, and ‘T’.
2. The digits present in both numeric codes ‘8652’ and ‘4256’ are ‘6’, ‘5’, and ‘2’ (in no particular order).

Therefore, the set of letters {M, A, T} corresponds to the set of digits {6, 5, 2}.

Now, look at the remaining unique letter and digit in the word ‘TRAM’ (coded as ‘4256’):

The only remaining letter in ‘TRAM’ is ‘R’.
The only remaining digit in ‘4256’ that is not shared with ‘MOAT’ is ‘4’.

Thus, the code for the letter ‘R’ must be 4.