In the letter series LOQ, SVX, ZCE, which of the following three letter combinations should appear next to continue the pattern correctly?

Difficulty: Medium

Correct Answer: GJL

Explanation:


Introduction / Context:
This question presents a series of three letter groups and asks you to find the next group that continues the pattern. These problems are common in reasoning tests and require careful observation of the movement of letters in each position, often with wraparound at the end of the alphabet.


Given Data / Assumptions:
Series: LOQ, SVX, ZCE, ?
We must find the fourth group.
We assume alphabet positions from A as 1 to Z as 26 and allow movement beyond Z to wrap back from A.


Concept / Approach:
The standard approach is to separate the first, second, and third letters and study how they progress through the series. In many such questions, each position follows its own arithmetic pattern. Because letters can wrap around, we treat the alphabet cyclically when necessary, subtracting 26 if we exceed 26.


Step-by-Step Solution:
Step 1: Convert the first letters: L, S, Z. Positions are L is 12, S is 19, Z is 26. The differences are +7 and +7. Step 2: To extend the pattern, we add 7 to 26. This gives 33. Subtract 26 to wrap around, giving 7. Position 7 corresponds to the letter G. Step 3: Convert the second letters: O, V, C. Positions are O is 15, V is 22, C is 3. The moves are 15 to 22 (+7), then 22 to 3 (+7 with wrap around). Adding 7 to 3 gives 10, which is J. Step 4: Convert the third letters: Q, X, E. Positions are Q is 17, X is 24, E is 5. The moves are +7 (17 to 24) and +7 with wrap (24 to 5). Adding 7 to 5 gives 12, which is L. Step 5: Combine the new letters to get G, J, and L, forming the group GJL.


Verification / Alternative check:
Let us rewrite the complete series with numeric positions to confirm: LOQ (12, 15, 17), SVX (19, 22, 24), ZCE (26, 3, 5), GJL (7, 10, 12). Every move between consecutive terms is +7 in each position, with wraparound handled correctly. The pattern is therefore consistent across all terms. No other option matches this structure in all three positions.


Why Other Options Are Wrong:
GLJ, GTL, and JLG: These groups have shuffled letters that do not follow a pure +7 progression from ZCE when tested position by position.
HMQ: This group also fails to show the same increase from the previous term and does not align with the letter positions verified above.


Common Pitfalls:
A typical mistake is to track only one letter in each group and ignore the others, leading to an incomplete or incorrect pattern. Another is to forget about the wraparound from Z back to A when adding fixed steps. Correct handling of wraparound is crucial in cyclic alphabet series.


Final Answer:
The next term in the series is GJL.

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