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Each letter in the word DEARTHS is changed to the letter immediately following it in the English alphabetical order and then all the letters thus formed are arranged in alphabetical order. Which of the following letters will be fourth from the right in the new group of letters thus formed?
E
F
I
S
I
Apply the successor operation to each letter first, then ignore the transformation and list the letters in alphabetical order to count from the right.
Apply the successor operation to each letter first, then ignore the transformation and list the letters in alphabetical order to count from the right.
Apply Successor Operation
Map each letter of DEARTHS to its following letter: D тЖТ E, E тЖТ F, A тЖТ B, R тЖТ S, T тЖТ U, H тЖТ I, S тЖТ T. The transformed letters are E, F, B, S, U, I, T.
Alphabetical Ordering
Arrange {E, F, B, S, U, I, T} in alphabetical order: B, E, F, I, S, T, U.
Identify 4th from Right
Counting from the right: 1st=U, 2nd=T, 3rd=S, 4th=I. The letter at the 4th position from the right is I.
A: E is 6th from the right; B: F is 5th from the right; D: S is 3rd from the right.
C is correct because the alphabetically sorted list of the transformed letters is B, E, F, I, S, T, U, and the 4th letter from the right is I.
When asked for Nth from the right, always list the full sequence in order; do not try to guess by skipping steps as it often leads to off-by-one errors.
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