Difficulty: Medium
Correct Answer: WCZ
Explanation:
Introduction / Context:
The series SUN, TWQ, UYT, VAW, ? is a three letter series where each letter position follows its own systematic change. These kinds of questions test your ability to track multiple alphabetic progressions at once and to handle wrap around from Z back to A correctly.
Given Data / Assumptions:
Concept / Approach:
We extract three sequences from the first, second, and third letters of each triplet. Then we convert letters into positions and look for constant steps. First and second letters normally use small positive steps, while third letters may use slightly larger steps. Once we know the step size for each column, we extend each sequence by one term to construct the missing triplet.
Step-by-Step Solution:
Step 1: First letters: S, T, U, V.
Step 2: Positions: S 19, T 20, U 21, V 22, which clearly increase by 1.
Step 3: The next first letter is 22 plus 1 equals 23, which is W.
Step 4: Second letters: U, W, Y, A.
Step 5: Positions: U 21, W 23, Y 25, A 1. Differences are plus 2, plus 2, and plus 2 using wrap around (25 plus 2 equals 27, minus 26 equals 1).
Step 6: Continue this pattern: 1 plus 2 equals 3, which is C. So the next second letter is C.
Step 7: Third letters: N, Q, T, W.
Step 8: Positions: N 14, Q 17, T 20, W 23. Differences are plus 3 each time.
Step 9: Continue this pattern: 23 plus 3 equals 26, which is Z.
Step 10: Therefore the missing triplet is WCZ.
Verification / Alternative check:
Write all five triplets with positions: SUN 19,21,14; TWQ 20,23,17; UYT 21,25,20; VAW 22,1,23; WCZ 23,3,26. The first column follows plus 1, the second column follows plus 2 modulo 26, and the third column follows plus 3. None of the other answer options match W for the first letter, C for the second, and Z for the third simultaneously.
Why Other Options Are Wrong:
XBY starts with X 24 instead of W 23, breaking the plus 1 pattern in the first column. WCY has the correct first two letters but uses Y instead of Z, which breaks the plus 3 pattern of the third letters. XBZ deviates in the first column, and WBZ alters the second letter from C to B, which does not follow the plus 2 rule.
Common Pitfalls:
Learners sometimes check only one column and pick an option that partially fits, ignoring mismatches in other positions. Another mistake is forgetting that letters can wrap around from Z back to A when applying a constant step. For robust solutions, always check all three positions and verify that one single triplet fits every column rule.
Final Answer:
The triplet that correctly continues the series is WCZ.
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