The position of how many letters will remain unchanged if each of the letters in the word STRANGE is arranged in alphabetical order?
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Analyzing the STRANGE Word Arrangement Problem
The question asks us to find out how many letters in the word STRANGE stay in their original position when the letters are rearranged in alphabetical order.
To solve this, we need to follow these steps:
- Write down the original word and the position of each letter.
- Arrange the letters of the word STRANGE in alphabetical order.
- Compare the position of each letter in the original word with its position in the alphabetically sorted word.
- Count how many letters are in the same position in both arrangements.
Step 1: Original Word and Positions
The original word is STRANGE.
| Position | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|---|---|---|---|---|---|---|
| Letter | S | T | R | A | N | G | E |
Step 2: Arranging in Alphabetical Order
Let's arrange the letters S, T, R, A, N, G, E in alphabetical order. The alphabetical order is A, E, G, N, R, S, T.
| Position | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|---|---|---|---|---|---|---|
| Sorted Letter | A | E | G | N | R | S | T |
Step 3 & 4: Comparing Positions and Counting Unchanged Letters
Now, let's compare the letter at each position in the original word with the letter at the same position in the alphabetically sorted word.
| Position | Original Letter | Sorted Letter | Position Unchanged? |
|---|---|---|---|
| 1 | S | A | No |
| 2 | T | E | No |
| 3 | R | G | No |
| 4 | A | N | No |
| 5 | N | R | No |
| 6 | G | S | No |
| 7 | E | T | No |
As we can see from the comparison, for every position, the original letter is different from the letter in the alphabetically sorted word. Therefore, none of the letters remain in their original position.
The number of letters whose position remains unchanged is zero.
Revision Table: STRANGE Word Analysis
| Concept | Description | Application to STRANGE |
|---|---|---|
| Alphabetical Order | Arranging letters based on the standard English alphabet sequence (A-Z). | Used to sort the letters S, T, R, A, N, G, E into A, E, G, N, R, S, T. |
| Position Comparison | Checking if an element at a specific index in one sequence is the same as the element at the same index in another sequence. | Comparing the letter at each position (1 through 7) in the original word "STRANGE" with the sorted word "AEGNRST". |
| Unchanged Position | A position where the element remains the same after rearrangement. | Occurs if the letter at position 'i' in the original word is the same as the letter at position 'i' in the sorted word. For STRANGE, this happened 0 times. |
Additional Information: Permutations and Anagrams
This type of problem is related to permutations and anagrams. An anagram is a word, phrase, or name formed by rearranging the letters of another, such as "STRANGE" and "GRENATS" (if it were a word).
When we arrange the letters of a word in alphabetical order, we are performing a specific type of rearrangement. Comparing the original positions with the new positions helps us understand how the relative positions of letters change during sorting.
Problems like this test your ability to follow instructions (alphabetical sorting) and perform careful comparison.
Important Questions from General Series of Alphabets
How many L's are there in the following series, that is preceded by an R and followed by a T?
Z Q S T L R M N Q N R T U V X R L T A L T Q L T
Select the letter-cluster from among the given options that can replace the question mark (?) in the following series.
RIN, TFR, VCV, ?, ZWD
Each of the letters in the word STRANGE are arranged in alphabetical order. How many letters are there in the English alphabetical series between the letter which is fourth from the left and the one which is second from the right in the new letter-cluster thus formed?
Which of the following options is fourth to the right of the twelfth letter from the right in a forward alphabet series?
Which of the following options is sixth to the right of the nineteenth letter from the right in a forward alphabet series?
