Alphabet pairs – determine the next pair Sequence: GH, JL, NQ, SW, YD, ?

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:

  • Pairs: GH, JL, NQ, SW, YD, ?
  • Alphabet positions A=1, …, Z=26 with wrap for sums beyond 26.


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:

  • EJ or EL: first letter would require +? that does not match +7; EJ also breaks the second-letter stepping.
  • FJ: second letter J (10) would imply 4→10 is +6, not the required +8.
  • GL: first letter would be +? from Y that is not +7; it would mean moving forward 5, breaking the pattern.


Common Pitfalls:
Forgetting to apply wrap-around arithmetic and thus misreading W→D; assuming constant steps rather than increasing ones.


Final Answer:
FL

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion