Word Rearrangement Analysis: Counting Vowels

To solve this question, we need to apply the given rule to each of the five words and then count the number of vowels in the newly formed words. The rule states that the first and last letters of each word are replaced by their immediate preceding letter in the alphabetical series.

Alphabetical Preceding Letters

Let's list a few immediate preceding letters for clarity, keeping in mind the standard English alphabet where 'A' is the first letter and has no preceding letter within the series context:

• Letter 'B' becomes 'A'.
• Letter 'C' becomes 'B'.
• Letter 'D' becomes 'C'.
• ...
• Letter 'X' becomes 'W'.
• Letter 'Y' becomes 'X'.
• Letter 'Z' becomes 'Y'.

The standard vowels in the English alphabet are A, E, I, O, U.

Step-by-Step Word Transformation and Vowel Count

We will now apply the operation to each of the five words given, letter by letter, and identify the resulting vowels:

NGX Word Transformation

• The first letter 'N' is replaced by its immediate preceding letter, which is 'M'.
• The middle letter 'G' remains unchanged.
• The last letter 'X' is replaced by its immediate preceding letter, which is 'W'.
• The new word formed is MGW.
• Checking for vowels in MGW: M, G, W are all consonants. Therefore, zero vowels are present.

FHZ Word Transformation

• The first letter 'F' is replaced by its immediate preceding letter, which is 'E'.
• The middle letter 'H' remains unchanged.
• The last letter 'Z' is replaced by its immediate preceding letter, which is 'Y'.
• The new word formed is EHY.
• Checking for vowels in EHY: 'E' is a vowel, while H and Y are consonants. Therefore, there is one vowel.

TJU Word Transformation

• The first letter 'T' is replaced by its immediate preceding letter, which is 'S'.
• The middle letter 'J' remains unchanged.
• The last letter 'U' is replaced by its immediate preceding letter, which is 'T'.
• The new word formed is SJT.
• Checking for vowels in SJT: S, J, T are all consonants. Therefore, zero vowels are present.

DOU Word Transformation

• The first letter 'D' is replaced by its immediate preceding letter, which is 'C'.
• The middle letter 'O' remains unchanged.
• The last letter 'U' is replaced by its immediate preceding letter, which is 'T'.
• The new word formed is COT.
• Checking for vowels in COT: 'O' is a vowel, while C and T are consonants. Therefore, there is one vowel.

WCM Word Transformation

• The first letter 'W' is replaced by its immediate preceding letter, which is 'V'.
• The middle letter 'C' remains unchanged.
• The last letter 'M' is replaced by its immediate preceding letter, which is 'L'.
• The new word formed is VCL.
• Checking for vowels in VCL: V, C, L are all consonants. Therefore, zero vowels are present.

Summary of Rearranged Words and Vowel Counts

Let's compile the results for easy understanding:

Final Vowel Count Conclusion

Based on our detailed analysis, the words that have only one vowel after the rearrangement are EHY and COT.

Therefore, there are exactly two words that meet the condition of having only one vowel after the specified rearrangement.