In a certain coded language, 'FATE' is coded as '4265' and 'FALE' is coded as…

2026

In a certain coded language, 'FATE' is coded as '4265' and 'FALE' is coded as '2145'. What is the code for 'L' in that language?

  1. A.

    1

  2. B.

    6

  3. C.

    3

  4. D.

    4

Attempted by 108 students.

Show answer & explanation

Correct answer: A

Step 1: Compare the letters in the words 'FATE' and 'FALE'. The letters common to both are F, A, and E.
Step 2: Compare their corresponding number codes '4265' and '2145'. The numbers common to both are 4, 2, and 5. This tells us that the codes for {F, A, E} are {4, 2, 5} in no particular order.
Step 3: Look specifically at the word 'FALE'. After removing the common letters and their codes (4, 2, and 5), the only letter left is 'L' and the only number left is 1. Therefore, L = 1.

Final Answer: Option A

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