Select the letter-cluster from among the given options that can replace the question mark (?) and continue the given series. KWX, NSA, QOD, TKG, WGJ, ?
Letter Series Analysis
The question asks to find the next letter cluster in the series: KWX, NSA, QOD, TKG, WGJ, ? We need to identify the pattern governing each position in the clusters.
Pattern Identification
We analyze the position of each letter in the English alphabet (A=1, B=2, ..., Z=26).
- First Letter Pattern: K, N, Q, T, W, ?
- K (11) to N (14) is a jump of +3.
- N (14) to Q (17) is a jump of +3.
- Q (17) to T (20) is a jump of +3.
- T (20) to W (23) is a jump of +3.
- The pattern is adding 3 to the position of the previous letter.
- The next letter's position is $23 + 3 = 26$. The 26th letter is Z.
- Second Letter Pattern: W, S, O, K, G, ?
- W (23) to S (19) is a decrease of -4.
- S (19) to O (15) is a decrease of -4.
- O (15) to K (11) is a decrease of -4.
- K (11) to G (7) is a decrease of -4.
- The pattern is subtracting 4 from the position of the previous letter.
- The next letter's position is $7 - 4 = 3$. The 3rd letter is C.
- Third Letter Pattern: X, A, D, G, J, ?
- X (24) to A (1) involves wrapping around the alphabet. The difference is $+3$ (X -> Y -> Z -> A).
- A (1) to D (4) is a jump of +3.
- D (4) to G (7) is a jump of +3.
- G (7) to J (10) is a jump of +3.
- The pattern is adding 3 to the position of the previous letter.
- The next letter's position is $10 + 3 = 13$. The 13th letter is M.
Conclusion
Combining the letters found for each position, the next cluster in the series is ZCM.
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