Letter Analogy Pattern Identification

The question presents a letter analogy: DF : GI :: KM : ? We need to find the relationship between the first pair (DF and GI) and apply it to the second pair (KM).

Analyzing the First Pair (DF : GI)

• Identify the position of each letter in the alphabet: D (4), F (6), G (7), I (9).
• Calculate the difference between the letters in the first part: F is 2 positions after D ($6 - 4 = 2$).
• Calculate the difference between the letters in the second part: I is 2 positions after G ($9 - 7 = 2$). The internal gap is consistent.
• Calculate the shift between the first letters of each pair: G (7) is 3 positions after D (4) ($7 - 4 = 3$).
• Calculate the shift between the second letters of each pair: I (9) is 3 positions after F (6) ($9 - 6 = 3$).
• Pattern: Each letter in the first pair is shifted forward by 3 positions to get the corresponding letter in the second pair. The gap between letters within each pair remains 2.

Applying the Pattern to the Second Pair (KM : ?)

• Identify the position of the letters in the second pair: K (11), M (13). The gap is $13 - 11 = 2$, consistent with the first pair.
• Apply the shift of +3 positions to the first letter (K): The 11th letter (K) shifted by 3 becomes the 14th letter.
• Apply the shift of +3 positions to the second letter (M): The 13th letter (M) shifted by 3 becomes the 16th letter.
• Determine the resulting letters: The 14th letter is N, and the 16th letter is P.

Conclusion

Therefore, the missing pair is NP.