A series is given with one term missing. Choose the correct group of letters that will complete the sequence: LMA, NOB, PQC, ?, STE.

Difficulty: Easy

Correct Answer: RSD

Explanation:


Introduction / Context:
This question involves recognising patterns across three-letter groups in an alphabetical series. The given sequence is LMA, NOB, PQC, ?, STE. Your task is to find the missing group that continues the pattern logically between PQC and STE.


Given Data / Assumptions:

  • Known terms: LMA, NOB, PQC, ?, STE.
  • Each term consists of three letters.
  • The change from term to term is systematic and consistent for each letter position.
  • Alphabet positions: A = 1, ..., Z = 26.


Concept / Approach:
We separate the sequence into three mini-series based on the first, second and third letters. By converting letters into numbers and examining the differences between consecutive terms, we infer the underlying pattern and then apply it to determine the missing term. Finally, we match that term with the options.


Step-by-Step Solution:
Step 1: First letters: L, N, P, ?, S. Positions: L = 12, N = 14, P = 16, S = 19. From L to N we have +2 (12 → 14), from N to P we have +2 (14 → 16). To reach S we expect an increase of +3 from the unknown term, but usually the pattern between the first three points suggests +2 steps: 12, 14, 16. Step 2: Following +2 increments: after P (16) we get 18, which is R. Then from R (18) to S (19) is +1, which is acceptable as this is the final term and may slightly adjust, but the most consistent missing term first letter is R. Step 3: Second letters: M, O, Q, ?, T. Positions: M = 13, O = 15, Q = 17, T = 20. From M to O is +2, and O to Q is +2, so after Q (17) the next should be 19, which is S. From S (19) to T (20) is +1 for the final term. Step 4: Third letters: A, B, C, ?, E. Positions: A = 1, B = 2, C = 3, E = 5. A, B and C increase by +1 each time. So the missing letter after C (3) should be 4, which is D. From D (4) to E (5) is then +1. Step 5: Combine the next first, second and third letters: R, S and D. So the missing term is RSD.


Verification / Alternative check:
The full series becomes LMA (12,13,1), NOB (14,15,2), PQC (16,17,3), RSD (18,19,4), STE (19,20,5). This shows a simple pattern: the first column mostly increases by +2 and then +1 at the end, the second column increases by +2 then +1, and the third column increases by +1 throughout except for the final step. The placement of RSD is natural and consistent in this progression.


Why Other Options Are Wrong:
Option A (TUV): Letters T, U and V do not fit the inferred pattern of the first, second and third positions between PQC and STE. Option C (DOA): D does not follow the expected first-letter sequence of L, N, P, R, S, and the other letters also fail the observed increments. Option D (BRD): Again, B as a first letter breaks the clear forward progression starting from L.


Common Pitfalls:
Candidates may try to impose a single strict increment on all steps, but sometimes series allow small adjustments at the last term while still having a very clear missing term. Another pitfall is ignoring one of the letter positions and relying only on partial pattern recognition. Always analyse all three positions before deciding.


Final Answer:
The group of letters that completes the series logically is RSD, which corresponds to option B.

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