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In the word TRANSPORT, the following transformation rule is applied: Vowels are changed to the next letter, and Consonants are changed to the preceding letter. How many letters will appear exactly twice in the group of letters thus formed?
0
1
2
3
1
Map vowels to next letter (+1) and consonants to previous letter (-1), then group the result to count frequency by simply listing them in sorted order.
Map vowels to next letter (+1) and consonants to previous letter (-1), then group the result to count frequency by simply listing them in sorted order.
Mapping Transformation
Original letters: T(C), R(C), A(V), N(C), S(C), P(C), O(V), R(C). Applying the rules (Consonant-1, Vowel+1): T тЖТ S, R тЖТ Q, A тЖТ B, N тЖТ M, S тЖТ R, P тЖТ O, O тЖТ P, R тЖТ Q.
Final Group and Counting
The transformed letters are: S, Q, B, M, R, O, P, Q. The frequency of each letter is: S(1), Q(2), B(1), M(1), R(1), O(1), P(1). Only 'Q' appears exactly twice.
A: Incorrect as Q appears twice; C: Incorrect as only Q repeats, not two distinct letters; D: Incorrect as no other letters repeat besides Q.
B is correct because after performing the transformation, the resulting set is S, Q, B, M, R, O, P, Q, where only the letter Q appears exactly twice.
Always list the transformed results alphabetically to quickly spot frequency counts; common traps involve misidentifying vowels (e.g., forgetting Y or assuming O follows P incorrectly).