Difficulty: Medium
Correct Answer: FL
Explanation:
Introduction / Context:Paired-letter sequences often evolve each letter independently with different step sizes, sometimes including wrap-around from Z back to A. Here the first and second letters grow by increasing steps.
Given Data / Assumptions:
Concept / Approach:Track the first letters as one subsequence and the second letters as another. Look for increasing step sizes (+3, +4, +5, …) and apply modular arithmetic for wrap-around.
Step-by-Step Solution:
First letters: G(7) → J(10) +3; J→N(14) +4; N→S(19) +5; S→Y(25) +6. Next step should be +7: 25 + 7 = 32 → wrap 32 − 26 = 6 → F.Second letters: H(8) → L(12) +4; L→Q(17) +5; Q→W(23) +6; W→(23+7=30 → wrap 4) which is D. Next step should be +8: 4 + 8 = 12 → L.Therefore the next pair is F (first letter) and L (second letter): FL.Verification / Alternative check:Write the step ladders explicitly: first-letter increments 3,4,5,6,7; second-letter increments 4,5,6,7,8. Both sequences are consistent and reproduce the given terms including the wrap to D, then to L.
Why Other Options Are Wrong:
Common Pitfalls:Forgetting to apply wrap-around arithmetic and thus misreading W→D; assuming constant steps rather than increasing ones.
Final Answer:FL
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