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Find the next triple in the series: ABD, DGK, HMS, MTB, SBL, ( ? ). Per-position jumps increase by +1 each time (wrapping at Z).

Difficulty: Medium

Correct Answer: ZKW

Explanation:


Introduction / Context:
Three synchronous letter streams evolve with steadily increasing forward jumps; wrap-around arithmetic applies at Z→A.


Given Data / Assumptions:

  • Series: A B D; D G K; H M S; M T B; S B L; next = ?
  • Alphabet indices A=1 … Z=26; after 26, continue from 1.


Concept / Approach:
Observe jump sizes in each column: they grow by +1 each step (e.g., +3, +4, +5, +6, +7 … for 1st column), with similar patterns in other columns but starting at different offsets.


Step-by-Step Solution:

1st letters: A(1) → D(4) +3 → H(8) +4 → M(13) +5 → S(19) +6 → Z(26) +7.2nd letters: B(2) → G(7) +5 → M(13) +6 → T(20) +7 → B(2) +8 wrap → K(11) +9.3rd letters: D(4) → K(11) +7 → S(19) +8 → B(2) +9 wrap → L(12) +10 → W(23) +11.Thus the next triple is Z K W.


Verification / Alternative check:
Subtracting the same jumps in reverse retrieves SBL, confirming pattern integrity.


Why Other Options Are Wrong:
XKW breaks the +7 requirement for the first column; ZKU/ZAB fail other column jumps.


Common Pitfalls:
Not accounting for wrap-around when sums exceed 26.


Final Answer:
ZKW.

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