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If each vowel in the word FRIENDLY is changed to the letter immediately preceding it in the English alphabetical order and each consonant is changed to the letter immediately following it in the English alphabetical order, then how many letters will appear twice in the group of letters thus formed?
3
2
0
1
0
Apply the rule to each letter individually and list the result to easily spot duplicates.
Apply the rule to each letter individually and list the result to easily spot duplicates.
Mapping the letters
The word is FRIENDLY. Vowels (I, E) change to the preceding letter (-1). Consonants (F, R, N, D, L, Y) change to the following letter (+1). F+1=G, R+1=S, I-1=H, E-1=D, N+1=O, D+1=E, L+1=M, Y+1=Z.
Forming the new group
The transformed letters are: G, S, H, D, O, E, M, Z.
Identifying duplicates
Looking at the set {G, S, H, D, O, E, M, Z}, we check for any recurring letters. None of the letters appear more than once.
A: The calculation shows 0 letters, so 2, 3, and 1 are incorrect.
0 is correct because after performing the transformations F → G, R → S, I → H, E → D, N → O, D → E, L → M, and Y → Z, all resulting letters (G, S, H, D, O, E, M, Z) are distinct.
When asked to count occurrences in transformed words, write the result clearly in a line and scan carefully from left to right to avoid missing subtle repetitions.
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