Each vowel in the word WORTHLESSLY is changed to the second letter 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?
Four
Rule: each vowel moves +2 places, each consonant moves −1 place.
W(consonant) −1 → V; O(vowel) +2 → Q; R(consonant) −1 → Q; T −1 → S; H −1 → G; L −1 → K; E(vowel) +2 → G; S −1 → R; S −1 → R; L −1 → K; Y −1 → X.
Transformed group: V Q Q S G K G R R K X.
Tally the letters: Q appears twice, G appears twice, R appears twice, K appears twice; V, S and X appear once each.
So the letters appearing exactly twice are Q, G, R and K — four letters.
Hence, four letters appear exactly twice.
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