The question asks to find the missing term in the letter series: KDN, JEO, GHQ, ?, UTX, LCC.

We need to identify the pattern governing the sequence by analyzing the position of each letter in the alphabet (A=1, B=2, ..., Z=26).

Analyze Letter Series Pattern

Let's break down the pattern for each position in the three-letter terms:

Pattern for the First Letter

• K (11), J (10), G (7), ?, U (21), L (12)
• The differences between consecutive terms are:
• $10 - 11 = -1$
• $7 - 10 = -3$
• The pattern of differences is $-1, -3, -5, -7, -9$.
• Applying this pattern:
• $7 - 5 = 2$. The 2nd letter is B.
• Check subsequent terms: $2 - 7 = -5 \rightarrow 26 - 5 = 21$ (U). $21 - 9 = 12$ (L). The pattern holds.
• The missing first letter is B.

Pattern for the Second Letter

• D (4), E (5), H (8), ?, T (20), C (3)
• The differences between consecutive terms are:
• $5 - 4 = +1$
• $8 - 5 = +3$
• The pattern of differences is $+1, +3, +5, +7, +9$.
• Applying this pattern:
• $8 + 5 = 13$. The 13th letter is M.
• Check subsequent terms: $13 + 7 = 20$ (T). $20 + 9 = 29 \rightarrow 29 - 26 = 3$ (C). The pattern holds.
• The missing second letter is M.

Pattern for the Third Letter

• N (14), O (15), Q (17), ?, X (24), C (3)
• The differences between consecutive terms are:
• $15 - 14 = +1$
• $17 - 15 = +2$
• The pattern of differences is $+1, +2, +3, +4, +5$.
• Applying this pattern:
• $17 + 3 = 20$. The 20th letter is T.
• Check subsequent terms: $20 + 4 = 24$ (X). $24 + 5 = 29 \rightarrow 29 - 26 = 3$ (C). The pattern holds.
• The missing third letter is T.

Conclusion

Combining the missing letters for each position, we get BMT.

This corresponds to Option 1.