ACF, GIL, ?, SUX
Letter Series Pattern Analysis
The question asks us to identify the missing letter cluster in the given series: ACF, GIL, ?, SUX.
Step 1: Identify the Pattern
We need to determine the rule connecting consecutive clusters by examining the alphabetical positions of the letters.
- Compare the first cluster (ACF) with the second cluster (GIL).
- A (position 1) $\rightarrow$ G (position 7): The difference is $7 - 1 = 6$.
- C (position 3) $\rightarrow$ I (position 9): The difference is $9 - 3 = 6$.
- F (position 6) $\rightarrow$ L (position 12): The difference is $12 - 6 = 6$.
The pattern is a consistent shift of +6 positions in the alphabet for each corresponding letter.
Step 2: Calculate the Missing Cluster
Apply the identified '+6' pattern to the letters of the cluster GIL to find the missing cluster.
- First letter: G (position 7) + 6 = 13. The 13th letter is M.
- Second letter: I (position 9) + 6 = 15. The 15th letter is O.
- Third letter: L (position 12) + 6 = 18. The 18th letter is R.
Based on this calculation, the missing cluster is MOR.
Step 3: Verify the Sequence
To confirm, check if the '+6' pattern applied to MOR results in the final cluster, SUX.
- M (position 13) + 6 = 19, which is S.
- O (position 15) + 6 = 21, which is U.
- R (position 18) + 6 = 24, which is X.
The pattern holds true, confirming that MOR is the correct cluster.
Conclusion
The letter cluster that replaces the question mark (?) is MOR.
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