In the alphabet series WYV, ?, IKH, BDA, which of the following three letter groups should replace the question mark so that the pattern in all positions is preserved?

Difficulty: Medium

Correct Answer: PRO

Explanation:


Introduction / Context:
This three letter alphabet series question gives the sequence WYV, ?, IKH, BDA. We must find which term fits in the blank so that the series follows a clear and consistent pattern in each of the three letter positions. Because the letters move in non trivial ways, including jumps backward through the alphabet, the problem tests a candidate's ability to notice constant differences and handle wrap around behaviour in a descending series.


Given Data / Assumptions:

    • Known terms: WYV, ?, IKH, BDA.• First letters: W, ?, I, B.• Second letters: Y, ?, K, D.• Third letters: V, ?, H, A.• Alphabet positions: A=1, B=2, ..., Z=26.


Concept / Approach:
To reveal the pattern, we treat each column of letters as its own numeric series. Because the known first letters change significantly from W to I to B, a constant negative step is a strong candidate. Once we find that each of the three columns uses the same negative step, we can extend the series backwards to compute the missing letters in the second term. This approach ensures that the chosen answer satisfies all three column wise rules simultaneously.


Step-by-Step Solution:
Step 1: First letters: W, ?, I, B.Positions: W=23, I=9, B=2.Step 2: Differences from I to B: 9 − 2 = 7; this suggests that from the missing first letter to I we likely subtract 7, and from W to the missing letter we also subtract 7.Step 3: Apply −7 from I (9) to get the missing first letter: 9 + 7 = 16 going backward, or equivalently 16 − 7 = 9. In position terms, going back 7 from 16 gives 9. Therefore, the missing first letter is P (16).Step 4: Check the step from W to P: W=23 and P=16 give a difference of −7, confirming that each step decreases the first letters by 7: 23 → 16 → 9 → 2 (W → P → I → B).Step 5: Second letters: Y, ?, K, D.Positions: Y=25, K=11, D=4.Step 6: Again, the step from K (11) to D (4) is −7. Applying −7 from Y (25) gives 25 − 7 = 18 which is R.Step 7: Third letters: V, ?, H, A.Positions: V=22, H=8, A=1.Step 8: The step H to A is 8 − 1 = 7, so we infer a constant −7 difference. Apply −7 from V=22: 22 − 7 = 15, which is O.Step 9: Thus the missing term must be PRO.


Verification / Alternative check:
Now write the whole series with PRO included: WYV, PRO, IKH, BDA. The first letters become 23 (W), 16 (P), 9 (I), 2 (B), each time decreasing by 7. The second letters become 25 (Y), 18 (R), 11 (K), 4 (D), again each time decreasing by 7. The third letters become 22 (V), 15 (O), 8 (H), 1 (A), also 7 less at each step. This consistent −7 pattern across all three columns confirms that PRO is the only term that fits the series perfectly.


Why Other Options Are Wrong:
OPR, ROP and OQH all fail to satisfy the −7 rule in one or more letter positions. For example, if the missing term were OPR, its letters would correspond to positions 15, 16 and 18, which do not produce a descending sequence by 7 when placed between WYV and IKH. Similarly, ROP would alter the column wise sequences in ways that break the constant −7 pattern. OQH also misplaces letters in each column and cannot be reconciled with the precise step sizes we observed.


Common Pitfalls:
One common error is to treat the series as ascending or irregular when in fact it is descending with a constant step. Another pitfall is focusing on only one column, perhaps the first, and then choosing an answer that appears to work there while ignoring inconsistencies in the second and third columns. For accurate solutions on three letter series, always compute numeric positions for each letter and verify that the same difference applies consistently in each column before finalising the answer.


Final Answer:
PRO

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