In a certain code language, 'BEAK' is coded as '4392' and 'RAKE' is coded as '9034'. What is the code for 'B' in the given code language?

The two words and their numerical codes are:
  BEAK → 4392
  RAKE → 9034

Step 1 : Separate the common and the unique letters.
  • Common letters in both words: A, E, K
  • Letters that appear in only one word: B (only in BEAK) and R (only in RAKE)

Step 2 : Do the same for the digits.
  • Write all four digits of each code: 4 3 9 2 and 9 0 3 4.
  • The digits common to both codes are 4, 3 and 9.
  • The digits that occur in only one code are 2 (only in 4392) and 0 (only in 9034).

Step 3 : Match uniques with uniques and commons with commons.
  • Since A, E, K are common letters, they must correspond to the common digits 4, 3 and 9 (order not needed here).
  • Therefore the remaining unique digit 2 must correspond to the remaining unique letter B, while the unique digit 0 must correspond to R.

Hence, the code for the letter B is 2.

Option B which is: 2