Analogy Logic Explained: POLICE to KLORXV

The relationship between POLICE and KLORXV is based on the reverse alphabet substitution, also known as the Atbash cipher.

In this cipher, each letter is replaced by the letter in the corresponding position from the end of the alphabet:

• A becomes Z, B becomes Y, C becomes X, and so on.
• Mathematically, if a letter is the N^th letter from the start, its reverse counterpart is the N^th letter from the end. The sum of their positions in the alphabet is 27 (e.g., P(16) + K(11) = 27).

Applying this to POLICE:

• P (16^th letter) → K (11^th letter, since 16 + 11 = 27)
• O (15^th letter) → L (12^th letter, since 15 + 12 = 27)
• L (12^th letter) → O (15^th letter, since 12 + 15 = 27)
• I (9^th letter) → R (18^th letter, since 9 + 18 = 27)
• C (3^rd letter) → X (24^th letter, since 3 + 24 = 27)
• E (5^th letter) → V (22^nd letter, since 5 + 22 = 27)

This confirms the transformation POLICE → KLORXV.

Applying the Logic to BURDEN

Now, we apply the same reverse alphabet substitution logic to the word BURDEN:

• B (2^nd letter) → Y (25^th letter, since 2 + 25 = 27)
• U (21^st letter) → F (6^th letter, since 21 + 6 = 27)
• R (18^th letter) → I (9^th letter, since 18 + 9 = 27)
• D (4^th letter) → W (23^rd letter, since 4 + 23 = 27)
• E (5^th letter) → V (22^nd letter, since 5 + 22 = 27)
• N (14^th letter) → M (13^th letter, since 14 + 13 = 27)

Therefore, BURDEN transforms into YFIWVM.

Identifying the Correct Option

The calculated word YFIWVM corresponds to Option 3 (C).