Alphabet series with repeating step pattern – fill the last two letters: Z, Y, X, U, T, S, P, O, N, K, ?, ?
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AH, G
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BH, I
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CI, H
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DJ, I
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EL, J
Answer
Correct Answer: J, I
Explanation
Introduction / Context:Here the alphabet sequence mixes small and larger backward steps, repeating a short cycle. Recognizing the cycle and continuing it yields the final two letters.
Given Data / Assumptions:
- Sequence: Z, Y, X, U, T, S, P, O, N, K, ?, ?
- We must find the last two letters.
Concept / Approach:Convert letters to positions and examine pairwise differences. A common motif is a cycle like −1, −1, −3 repeated throughout. Check whether this holds from the beginning and, if so, apply it to the tail.
Step-by-Step Solution:Z(26) → Y(25): −1; Y(25) → X(24): −1; X(24) → U(21): −3.U(21) → T(20): −1; T(20) → S(19): −1; S(19) → P(16): −3.P(16) → O(15): −1; O(15) → N(14): −1; N(14) → K(11): −3.The cycle −1, −1, −3 repeats perfectly. Continue it: K(11) → J(10): −1; J(10) → I(9): −1.
Verification / Alternative check:Mapping all steps confirms three complete repetitions of the −1, −1, −3 motif, and the final application gives J then I without any conflict.
Why Other Options Are Wrong:
- H, G or I, H break the exact step-by-step cycle visible across the entire sequence.
- H, I skips the necessary intermediate −3 that would follow after two −1 steps elsewhere in the pattern.
Common Pitfalls:
- Losing track of the repeating 3-step cycle and trying to invent a new rule at the end.
Final Answer:J, I