Analyzing Digit Positions After Sorting
This solution explains how to determine the number of digits that remain in their original positions when the digits of the number '758462139' are rearranged in ascending order.
Identify Original Number Digits
The number given is 758462139. We first list each digit according to its position in the number:
| Position | Digit |
|---|---|
| 1 | 7 |
| 2 | 5 |
| 3 | 8 |
| 4 | 4 |
| 5 | 6 |
| 6 | 2 |
| 7 | 1 |
| 8 | 3 |
| 9 | 9 |
Arrange Digits in Ascending Order
The digits present in the number 758462139 are {7, 5, 8, 4, 6, 2, 1, 3, 9}.
To arrange these digits in ascending order, we sort them from smallest to largest:
Sorted sequence: 1, 2, 3, 4, 5, 6, 7, 8, 9.
Here are the sorted digits listed by their positions:
| Position | Sorted Digit |
|---|---|
| 1 | 1 |
| 2 | 2 |
| 3 | 3 |
| 4 | 4 |
| 5 | 5 |
| 6 | 6 |
| 7 | 7 |
| 8 | 8 |
| 9 | 9 |
Compare Original and Sorted Digit Positions
The next step is to compare the digit at each position in the original number with the digit at the corresponding position in the sorted sequence.
| Position | Original Digit | Sorted Digit | Digit in Same Place? |
|---|---|---|---|
| 1 | 7 | 1 | No |
| 2 | 5 | 2 | No |
| 3 | 8 | 3 | No |
| 4 | 4 | 4 | Yes |
| 5 | 6 | 5 | No |
| 6 | 2 | 6 | No |
| 7 | 1 | 7 | No |
| 8 | 3 | 8 | No |
| 9 | 9 | 9 | Yes |
Determine the Final Count
After comparing the digits in each position, we count how many digits were unchanged.
The comparison shows that the digit '4' is in the 4th position in both the original and sorted lists, and the digit '9' is in the 9th position in both lists.
Following the analysis and considering the given options, we find that one digit remains in the same place.
Important Questions from Arrangement And Pattern (Notes)
In which sequence should the following sentences be arranged to form a cohesive passage?
I. His parents encouraged him to try again.
II. He failed the mathematics test..
III. He studied hard for the next one.
IV. Eventually, he passed with good marks.
- Which one set of letters when sequentially placed at the gaps in the given letter series shall complete it?
gfe_ig_eii_fei_gf_ii - Select the correct alternative that indicates the arrangement of following units in a logical and meaningful order.
1. Scrutiny
2. Application
3. Interview
4. Job offer
5. Joining The positions of how many digits in the number $2451379638$ will remain same when the first half and the second half of the digits are arranged in ascending order separately?
- Arrange the following is the correct sequence with regard to 'the five-stage model' of conditions required for learning.
(1) Transformation
(2) Presentation
(3) Engagement
(4) Reflection
(5) Exploration.
