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If each vowel in the word ARTICULATE is changed to the letter immediately following it in the English alphabetical order and each consonant is changed to the letter immediately preceding it in the English alphabetical order, then which of the following letters will appear more than twice in the group of letters thus formed?
J
K
S
B
B
Identify vowels and consonants immediately. Vowels move +1 (A → B, E → F, I → J, O → P, U → V) and consonants move -1 (A → Z, B → A, C → B...)
Identify vowels and consonants immediately. Vowels move +1 (A → B, E → F, I → J, O → P, U → V) and consonants move -1 (A → Z, B → A, C → B...)
Mapping the letters of ARTICULATE
Word: A(V), R(C), T(C), I(V), C(C), U(V), L(C), A(V), T(C), E(V). Rules: Vowels +1, Consonants -1.
Applying the transformation rules
A(V+1)=B, R(C-1)=Q, T(C-1)=S, I(V+1)=J, C(C-1)=B, U(V+1)=V, L(C-1)=K, A(V+1)=B, T(C-1)=S, E(V+1)=F. The resulting sequence is B, Q, S, J, B, V, K, B, S, F.
Counting the frequency of letters
The letters are B, Q, S, J, B, V, K, B, S, F. B appears 3 times. Q appears 1 time. S appears 2 times. J appears 1 time. V appears 1 time. K appears 1 time. F appears 1 time. The letter appearing more than twice is B.
A: J appears only once; B: K appears only once; C: S appears exactly twice, not more than twice.
D is correct because the letter B appears 3 times in the transformed sequence, satisfying the condition of appearing more than twice.
When asked for frequencies, perform the transformation for all characters first, then quickly tally them using a frequency table (tally marks) to avoid missing duplicates.
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