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Each vowel in the word FRAGILE 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. How many letters will appear exactly twice in the group of letters thus formed?
0
1
2
3
0
Map each letter individually based on the rule immediately, then list the resulting letters in alphabetical order to identify duplicates at a glance.
Map each letter individually based on the rule immediately, then list the resulting letters in alphabetical order to identify duplicates at a glance.
Mapping the letters
Word: F(Consonant), R(Consonant), A(Vowel), G(Consonant), I(Vowel), L(Consonant), E(Vowel). Rules: Consonant - 1, Vowel + 1. Mapping: F → E, R → Q, A → B, G → F, I → J, L → K, E → F.
Listing the group
The transformed letters are: E, Q, B, F, J, K, F. The set of letters is {E, Q, B, F, J, K, F}.
Counting duplicates
The letter F appears twice. All other letters (E, Q, B, J, K) appear once. Therefore, there is exactly one letter (F) that appears twice.
A is incorrect because there is one letter that repeats (F). C is incorrect because there are not two letters that repeat. D is incorrect because there are not three letters that repeat.
B is correct because the transformed letters are E, Q, B, F, J, K, F, and the letter F appears exactly twice in this sequence.
When dealing with character frequency problems, always write out the transformed sequence in a straight line to avoid missing letters or miscounting duplicates.