Each vowel in the word TRAJECTORIES is changed to the second letter immediately following it in the English alphabetical order, and each consonant is changed to the second letter immediately preceding it in the English alphabetical order. How many letters will appear exactly twice in the new group of letters thus formed?
Four
Rule: each vowel moves +2 forward, each consonant moves −2 backward. Transform TRAJECTORIES letter by letter.
T(cons)→R, R(cons)→P, A(vowel)→C, J(cons)→H, E(vowel)→G, C(cons)→A.
T(cons)→R, O(vowel)→Q, R(cons)→P, I(vowel)→K, E(vowel)→G, S(cons)→Q.
The new group of letters is: R, P, C, H, G, A, R, Q, P, K, G, Q.
Counting occurrences: R appears twice, P appears twice, G appears twice, Q appears twice; while C, H, A, K each appear once.
So four letters (R, P, G, Q) appear exactly twice.
Hence, the number of letters appearing exactly twice is Four.
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