Difficulty: Medium
Correct Answer: J
Explanation:
Introduction / Context:
At first sight this series looks confusing because it mixes two letter terms and single letter terms: SQ, R, XV, W, IK, ?. The task is to find the missing single letter. Series of this kind often hide a neat structural relationship between the pairs and the single letters that stand between them.
Given Data / Assumptions:
Concept / Approach:
The key observation is that each single letter appears between the two letters of the previous or next pair when you look at alphabetical order. In other words, for each pair like SQ, there is a natural middle letter R between Q and S. The question is constructed so that the single letters are exactly those middle letters. We only need to extend this idea to the last pair IK.
Step-by-Step Solution:
Step 1: Look at the first pair SQ. In alphabet positions, Q is 17 and S is 19. The letter in between them is R with position 18.
Step 2: Notice that the series goes SQ, R, which matches that idea: the single letter R lies exactly between S and Q in alphabetical order.
Step 3: Now consider the second two letter term XV. X is 24 and V is 22. The middle letter between 22 and 24 is W at position 23.
Step 4: The sequence shows XV followed by W, so again the single letter is the alphabetical middle between the pair XV.
Step 5: Apply the same logic to the last given pair IK. I has position 9 and K has position 11.
Step 6: The middle letter between 9 and 11 is J with position 10.
Step 7: Therefore the missing single letter after IK must be J.
Verification / Alternative check:
We can rewrite the whole pattern as triples of the form pair, middle letter: SQ R, XV W, IK J. In each triple, the middle letter is the unique letter lying between the two letters in the pair. This pattern is consistent and elegant, and there is no contradiction. Thus J is the only letter that fits the established rule.
Why Other Options Are Wrong:
Letters L, M, N, and O do not lie between I and K in the alphabet. L is after K, and M, N, O are even further away. Using any of them would break the symmetric structure where the single letter is the exact middle between the two letters of the preceding pair.
Common Pitfalls:
A common error is to treat the series as a simple sequence of all letters taken together and search for fixed numeric differences. Because the pattern is structural, not purely arithmetic, that approach becomes confusing. Another pitfall is to ignore the special role of the single letters standing between the pairs. Focusing on local groups of three (pair plus middle letter) reveals the pattern quickly.
Final Answer:
The letter that should replace the question mark is J.
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