Letter code analogy: “AF is to CH as KT is to ______”. Choose the pair of letters that follows the same alphabetic shifting pattern used from AF to CH.

Introduction / Context:
This is a letter analogy and coding question. You are given one example of how a pair of letters is transformed: “AF” becomes “CH”. You must identify the rule that relates the original pair to the new pair, and then apply that same rule to “KT” to find the correct answer. Such questions test your ability to follow patterns in the alphabet and perform simple mental arithmetic with letter positions.

Given Data / Assumptions:

• First pair: AF is related to CH. • Second pair to be transformed: KT. • Options: MU, LU, LV, MV. • We assume the standard English alphabet with A as 1, B as 2, and so on up to Z as 26.

Concept / Approach:
In many letter coding questions, each letter is shifted forward or backward by a fixed number of positions in the alphabet. The same shift is applied to each letter of the pair. Therefore, the strategy is to convert letters to their numeric positions, find the difference between original and new letters, and check whether the shift is consistent across both letters. Once we know the size and direction of the shift, we apply it to the letters in KT and then match the result with an option.

Step-by-Step Solution:
Step 1: Write AF and CH with positions. A is 1, F is 6, C is 3, and H is 8. Step 2: Calculate the shifts. From A (1) to C (3) is a shift of +2. From F (6) to H (8) is also +2. This confirms that the rule is to add 2 to each letter position. Step 3: Apply this rule to KT. K is 11 and T is 20. Step 4: Add 2 to each position. For K (11), 11 + 2 = 13, which corresponds to M. For T (20), 20 + 2 = 22, which corresponds to V. Step 5: The resulting pair of letters is MV. Step 6: Compare with the options. MV matches option D.

Verification / Alternative check:
To verify, we can also check the other options by reversing the operation. If KT mapped to MU, this would mean K to M is +2, which is correct, but T to U is only +1, so the shift is inconsistent. For LU, K to L is +1 and T to U is +1, which does not match the original example that uses +2. For LV, K to L is +1 while T to V is +3, again inconsistent. Only MV is produced by adding 2 to both letters, which exactly mirrors how AF became CH. This confirms that our pattern identification and application are correct.

Why Other Options Are Wrong:
• MU: First letter shift matches the pattern but second letter does not; the rule is not applied consistently. • LU: Both letters shift by +1 rather than +2, so it reflects a different pattern from the original pair. • LV: The shifts are different for each letter, breaking the uniform shift rule used in AF to CH.

Common Pitfalls:
A typical mistake is to observe only one of the letters and overlook whether the same shift applies to the second letter. Another common error is miscounting letter positions, especially around the middle of the alphabet. Writing down the alphabet or thinking carefully about each step helps avoid such small mistakes. Always confirm that the pattern you find fits all parts of the example pair before applying it to the new pair.

Final Answer:
The pair of letters that correctly completes the analogy is MV.