Choose the 4-letter block that continues the visible chunk pattern so each segment keeps the n/m counts and order: — n m m n — m m n n — m n n m —
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An n m m
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Bn m n m
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Cm n n m
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Dn m m n
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ENone of these
Answer
Correct Answer: n m m n
Explanation
Introduction / Context:This is a block-based letter series built from n and m only. Each visible chunk shows a pattern of two letters and their counts (e.g., n m m n). The aim is to select the next 4-letter block that keeps the evolving order without breaking the count symmetry.
Given Data / Assumptions:
- Template of 4-letter chunks: nmmn, mmnn, mnnm, …
- Exactly four letters are to be inserted as the next block.
- Valid blocks must be permutations with two n’s and two m’s, preserving the progression by rotation.
Concept / Approach:Observe that the chunks cycle by shifting the leading letter toward the back while preserving the 2n/2m composition: nmmn → mmnn → mnnm → (back to) nmmn. Hence the appropriate next block is again nmmn.
Step-by-Step Solution:
Identify the 3rd visible chunk: mnnm.Apply the same rotation used earlier to return to the first chunk.Therefore the next block is nmmn.Verification / Alternative check:Listing the cycle explicitly: nmmn → mmnn → mnnm → nmmn … confirms the 4-term loop.
Why Other Options Are Wrong:
- n n m m: Breaks the observed internal order within the chunk.
- n m n m: Alternating sequence, not consistent with the given blocks.
- m n n m: Represents the third chunk, not the next after it.
- None of these: Invalid because nmmn appears among the options.
Common Pitfalls:Mistaking any 2n/2m permutation as valid; the sequence also encodes order/rotation, not just counts.
Final Answer:n m m n