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Find the next term in the series: BEH, KNQ, TWZ, ( ? ). Each position advances by +9 in the alphabet with wrap-around.

Difficulty: Easy

Correct Answer: CFI

Explanation:


Introduction / Context:
Here, each of the three letter positions undergoes the same forward shift by a fixed value across terms.


Given Data / Assumptions:

  • Series: B E H; K N Q; T W Z; next = ?
  • Alphabet indices with wrap-around (A=1 … Z=26).


Concept / Approach:
Compute letter-to-letter jumps across terms for each position; a constant +9 emerges.


Step-by-Step Solution:

First letters: B(2) → K(11) (+9) → T(20) (+9) → C(3) (+9 wrap).Second letters: E(5) → N(14) (+9) → W(23) (+9) → F(6) (+9 wrap).Third letters: H(8) → Q(17) (+9) → Z(26) (+9) → I(9) (+9 wrap).


Verification / Alternative check:
Reversing from CFI by −9 retrieves TWZ, confirming the fixed-shift pattern.


Why Other Options Are Wrong:
IJL, BDF, ADG use different step sizes and do not preserve the +9 rule in all three positions.


Common Pitfalls:
Missing wrap-around arithmetic when passing Z to A.


Final Answer:
CFI.

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