The position of how many letters will remain unchanged if each of the letters in the word ANOTHER is arranged in reversed alphabetical order. i.e. starting from the last letter (Z)?
Three
Finding Unchanged Letter Positions in ANOTHER
Let's break down the problem of finding how many letters keep their position when the word ANOTHER is rearranged in reverse alphabetical order.
Understanding the Original Word: ANOTHER
The word we are working with is ANOTHER. It has 7 letters:
- A
- N
- O
- T
- H
- E
- R
These letters are currently in specific positions from 1 to 7.
Arranging Letters in Reversed Alphabetical Order
Now, we take the unique letters from the word ANOTHER (A, N, O, T, H, E, R) and arrange them from the end of the alphabet (Z) towards the beginning (A).
The letters are: A, E, H, N, O, R, T.
Arranging these in reverse alphabetical order gives us:
- T
- R
- O
- N
- H
- E
- A
So, the new arrangement of the letters is TRONHEA.
Comparing Original and New Positions
We need to compare the original word ANOTHER with the new arrangement TRONHEA, position by position, to see which letters remain in the same spot.
| Position | Original Letter | New Letter (Reverse Alphabetical) | Position Unchanged? |
|---|---|---|---|
| 1 | A | T | No |
| 2 | N | R | No |
| 3 | O | O | Yes |
| 4 | T | N | No |
| 5 | H | H | Yes |
| 6 | E | E | Yes |
| 7 | R | A | No |
Counting Unchanged Positions
Looking at the comparison table, we can see the positions where the original letter and the new letter are the same:
- Position 3: O remains O
- Position 5: H remains H
- Position 6: E remains E
There are exactly 3 positions where the letter remained unchanged after rearranging the letters of ANOTHER in reverse alphabetical order.
Conclusion
Therefore, the position of three letters will remain unchanged.
Revision Table: Letter Arrangement Analysis
| Concept | Description |
|---|---|
| Original Word | ANOTHER |
| Letters | A, N, O, T, H, E, R |
| Reverse Alphabetical Order | T, R, O, N, H, E, A |
| New Arrangement | TRONHEA |
| Unchanged Letters | O (Position 3), H (Position 5), E (Position 6) |
| Count of Unchanged Letters | Three |
Additional Information: Alphabetical and Reverse Alphabetical Order
Understanding alphabetical order is key to solving these types of rearrangement problems.
- Alphabetical Order: Arranging letters from A to Z. For example, the letters A, C, B arranged alphabetically would be A, B, C.
- Reverse Alphabetical Order: Arranging letters from Z to A. For example, the letters A, C, B arranged in reverse alphabetical order would be C, B, A.
When solving letter position questions, always clearly list the letters in the specified order (alphabetical or reverse alphabetical) and then compare them to the original positions.
Important Questions from Dictionary or Alphabet Based
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?
Write the following words in the order they appear in the dictionary.
1. Wailer
2. Wader
3. Waking
4. Waling
5. Waggon
Write the following words according to the order in which they appear in the dictionary.
1. Lamellosities
2. Lamellibranch
3. Lamprophonies
4. Lamprophonias
5. Laminectomies
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?
The position of how many letters will remain unchanged if each letter in the word AMPLIFY is arranged in alphabetical order?
