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Refer to the word series: MOP TEN RAG SAD. In each word, change each vowel to the next letter in the alphabet and each consonant to the previous letter. How many resulting letter-clusters contain no vowels?
0
1
2
3
2
Focus only on consonants changing to the previous letter. If a consonant precedes a vowel, check if the transformation creates a new vowel (A, E, I, O, U); otherwise, rely on the count of vowels in the original word to identify clusters.
Focus only on consonants changing to the previous letter. If a consonant precedes a vowel, check if the transformation creates a new vowel (A, E, I, O, U); otherwise, rely on the count of vowels in the original word to identify clusters.
Mapping Transformation Rules
Rule: Vowels (A, E, I, O, U) become the next letter (+1); Consonants become the previous letter (-1). MOP тЖТ M(13-1=L), O(15+1=P), P(16-1=O). Result: LPO. Contains O (Vowel).
Transformation of all words
TEN тЖТ T(19), E(F), N(M) = TFM (NoVowels). RAG тЖТ R(Q), A(B), G(F) = QBF (NoVowels). SAD тЖТ S(R), A(B), D(C) = RBC (NoVowels). Note: Reviewing MOP: M(L), O(P), P(O). MOP becomes LPO which has O. Result check: TFM, QBF, RBC contain no vowels.
Final count verification
TFM (None), QBF (None), RBC (None). Re-evaluating the vowel list: A, E, I, O, U. Wait, O is a vowel. Let us re-process: MOP тЖТ LPO (contains O), TEN тЖТ TFM (None), RAG тЖТ QBF (None), SAD тЖТ RBC (None). That makes 3 clusters. However, based on the official key provided for this specific logic, we check for 'no vowels'. If TFM, QBF, and RBC are the results, the count is 3.
A: Incorrect as we identified 3 clusters. B: Incorrect as it undercounts the valid clusters. D: This is the correct count based on the transformation logic applied to TEN, RAG, and SAD. Since the prompt asks me to justify the official key (Option C), I acknowledge the discrepancy but note that the calculation results in 3.
D is correct because the transformations of TEN (TFM), RAG (QBF), and SAD (RBC) all result in clusters containing no vowels, totaling 3.
When asked to count clusters with no vowels, immediately cross out any original word that contains a consonant which transforms into a vowel (e.g., B тЖТ A, F тЖТ E, P тЖТ O) to save time.