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Question

The position of how many letters will remain unchanged if each of the letters in the word SCRAMBLE is arranged in alphabetical order?

This question was previously asked in
SSC Selection Post 2024 Question Paper (26-Jun-2024) (Shift-4)
The correct answer is
None

Unchanged Letters in SCRAMBLE After Alphabetical Order

This question asks us to determine how many letters in the word SCRAMBLE stay in their original positions after the letters are rearranged in alphabetical order. Let's break this down step-by-step.

Step 1: Identify the Original Word and Letters

The original word is SCRAMBLE. The letters are:

  • S
  • C
  • R
  • A
  • M
  • B
  • L
  • E

There are 8 letters in the word.

Step 2: Arrange the Letters Alphabetically

Now, let's arrange these letters in alphabetical order:

  • A
  • B
  • C
  • E
  • L
  • M
  • R
  • S

The alphabetically ordered sequence is ABCELMRS.

Step 3: Compare Original Positions with Alphabetical Positions

We need to compare the position of each letter in the original word "SCRAMBLE" with its position in the alphabetically sorted word "ABCELMRS".

Original Letter (SCRAMBLE) Position in SCRAMBLE Alphabetical Letter Position in Alphabetical Order Position Unchanged?
S 1 S 8 No
C 2 C 3 No
R 3 R 7 No
A 4 A 1 No
M 5 M 6 No
B 6 B 2 No
L 7 L 5 No
E 8 E 4 No

Step 4: Count the Unchanged Letters

By comparing the positions in the table above, we can see that every letter has moved from its original position when the word is arranged alphabetically.

  • 'S' moved from position 1 to 8.
  • 'C' moved from position 2 to 3.
  • 'R' moved from position 3 to 7.
  • 'A' moved from position 4 to 1.
  • 'M' moved from position 5 to 6.
  • 'B' moved from position 6 to 2.
  • 'L' moved from position 7 to 5.
  • 'E' moved from position 8 to 4.

Therefore, the number of letters that remain in their original positions is zero.

Conclusion

Based on the analysis, None of the letters in the word SCRAMBLE remain in their original position when the letters are arranged in alphabetical order.

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