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Question

Each of the digits in the number 7812345 is arranged in ascending order from left to right. The position(s) of how many digits will remain unchanged as compared to that in the original number?

The correct answer is
None

Number Digit Position Analysis

The question asks us to compare the positions of digits in the original number with their positions after the digits are arranged in ascending order.

Original Number Digits and Positions

The original number given is 7812345. Let's list the digits and their original positions (from left to right, starting at position 1):

  • Position 1: Digit 7
  • Position 2: Digit 8
  • Position 3: Digit 1
  • Position 4: Digit 2
  • Position 5: Digit 3
  • Position 6: Digit 4
  • Position 7: Digit 5

Arranging Digits in Ascending Order

Now, let's take the digits from the number 7812345 (which are 7, 8, 1, 2, 3, 4, 5) and arrange them in ascending (smallest to largest) order:

The sorted sequence of digits is: 1, 2, 3, 4, 5, 7, 8.

Comparing Positions

Let's create a comparison table to see if any digit's position remains unchanged:

Original Position Original Digit New Position (Ascending Order) New Digit Position Unchanged?
1 7 6 7 No (1 → 6)
2 8 7 8 No (2 → 7)
3 1 1 1 No (3 → 1)
4 2 2 2 No (4 → 2)
5 3 3 3 No (5 → 3)
6 4 4 4 No (6 → 4)
7 5 5 5 No (7 → 5)

Conclusion on Unchanged Positions

By comparing the 'Original Position' column with the 'New Position (Ascending Order)' column, we can see that every digit has moved from its original spot.

  • The digit 7 moved from position 1 to position 6.
  • The digit 8 moved from position 2 to position 7.
  • The digit 1 moved from position 3 to position 1.
  • The digit 2 moved from position 4 to position 2.
  • The digit 3 moved from position 5 to position 3.
  • The digit 4 moved from position 6 to position 4.
  • The digit 5 moved from position 7 to position 5.

Therefore, the number of digits whose positions remain unchanged is zero.

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Important Questions from Arrangement and Pattern

  1. Study the following information carefully to answer the question given below-
    B S 5 % T P 2 @ K L 0 Y 8 N G H * 9 X D 3 & J @ C M ! 1 A ^ E V Z < U $ O Q W N
    Which of the following is seventeen to the left of nine from the right?

  2. Each of the digits in the number 4512689 is arranged in ascending order from left to right. The position(s) of how many digits will remain unchanged as compared to that in the original number?
  3. Refer to the following number and symbol series and answer the question that follows. Counting to be done from left to right only. (Note: All numbers are single digit numbers only).
    (Left) 9 # 8 $ 1 * £ 3 4 7 + Ω 6 2 & % 5 @ (Right)
    How many such symbols are there each of which is immediately preceded by another symbol and also immediately followed by another symbol?

  4. Refer to the following number and symbol series and answer the question that follows. 

    Counting to be done from left to right only. All numbers are single-digit numbers.  

    (Left) 4 6 % Ω 9 # @ 8 $ 7 1 * £ 5 & + 3 2 (Right) 

    How many such symbols are there each of which is immediately preceded by a number and also immediately followed by another symbol?

  5. Refer to the following number and symbol series and answer the question that follows. Counting to be done from left to right only.
    (Left) 2 4 & # $ 4 7 6 6 & 1 * $ 2 © 9 4 8 € $ * 4 (Right)
    How many such numbers are there each of which is immediately preceded by a symbol and also immediately followed by a symbol?

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