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If each vowel in the word TEACHING is changed to the letter following it in the English alphabetical order and each consonant is changed to the letter following it in the English alphabetical order and then arrange the letters in alphabetical order, then which of the following letters will be fourth from the right in the group of letters thus formed?
J
I
F
H
I
First classify each letter in TEACHING as vowel or consonant. Apply the respective transformation rules (+1 for vowels, +1 for consonants as per the problem statement), then sort the resulting letters alphabetically to find the required position.
First classify each letter in TEACHING as vowel or consonant. Apply the respective transformation rules (+1 for vowels, +1 for consonants as per the problem statement), then sort the resulting letters alphabetically to find the required position.
Step 1: Identify Letters and Apply Transformation
The given word is T E A C H I N G. Each vowel (E, A, I) and each consonant (T, C, H, N, G) is changed to the letter following it in alphabetical order (i.e., +1 shift). T тЖТ U, E тЖТ F, A тЖТ B, C тЖТ D, H тЖТ I, I тЖТ J, N тЖТ O, G тЖТ H. The new group of letters is U, F, B, D, I, J, O, H.
Step 2: Arrange in Alphabetical Order
Sorting the transformed letters U, F, B, D, I, J, O, H in alphabetical order yields: B, D, F, H, I, J, O, U.
Step 3: Find the Fourth from the Right
Counting from the right end of the sorted series (B, D, F, H, I, J, O, U): 1st from right is U, 2nd is O, 3rd is J, and 4th from right is I.
A: J is 3rd from the right, not 4th. C: F is 6th from the right. D: H is 5th from the right.
B is correct because sorting the transformed letters (B, D, F, H, I, J, O, U) alphabetically makes the 4th letter from the right equal to I.
Always pay close attention to whether the question asks to count from the left or right after rearranging, as a simple reversal of direction leads to common errors.
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