Each vowel in the word BACHELOR is changed to the letter following it in the English alphabetical order and each consonant is changed to the letter preceding it in the English alphabetical order. If each letter, thus formed is arranged in alphabetical order, which letter will be fourth from the Left?
F
BACHELOR Word Transformation Rules
The problem asks us to modify the letters in the word BACHELOR based on specific rules for vowels and consonants and then find the fourth letter from the left after arranging the modified letters alphabetically.
- Vowel Rule: Each vowel (A, E, I, O, U) is replaced by the letter that immediately follows it in the English alphabet.
- Consonant Rule: Each consonant (all other letters) is replaced by the letter that immediately precedes it in the English alphabet.
Applying Rules to BACHELOR Letters
Let's apply these rules to each letter in the word BACHELOR:
| Original Letter | Type | Transformation Rule | New Letter |
| B | Consonant | Preceding letter | A |
| A | Vowel | Following letter | B |
| C | Consonant | Preceding letter | B |
| H | Consonant | Preceding letter | G |
| E | Vowel | Following letter | F |
| L | Consonant | Preceding letter | K |
| O | Vowel | Following letter | P |
| R | Consonant | Preceding letter | Q |
After applying the rules, the letters derived from BACHELOR are: A, B, B, G, F, K, P, Q.
Alphabetical Arrangement of New Letters
Now, we need to arrange these new letters in alphabetical order:
A, B, B, F, G, K, P, Q
Fourth Letter Identification
We need to find the letter that is fourth from the left in this alphabetically arranged list.
- 1st letter from left: A
- 2nd letter from left: B
- 3rd letter from left: B
- 4th letter from left: F
- 5th letter from left: G
- 6th letter from left: K
- 7th letter from left: P
- 8th letter from left: Q
Therefore, the fourth letter from the left after arranging the modified letters alphabetically is F.
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If in the word "SPIRITUAL", position of second and fifth letter is interchanged, similarly position of fourth and sixth letter is interchanged with seventh and ninth letters respectively, then how many pair of letters in the new word have as many letters between them (either forward or backward) as they have in the English alphabet series?
