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)
Each of the digits in the number 8642571 is arranged in ascending order from left to right. What will be the sum of the digits which are fourth from the left and second from the right in the new number thus formed?
- 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. - Arrange the steps of research in a sequential order
(1) Identifying a research problem
(2) Specifying the purpose for research
(3) Reviewing the literature
(4) Collecting the data
(5) Reporting and evaluating research
(6) Analysing and interpreting the data
Choose the correct sequence. Refer to the following letter, number, symbol series and answer the question that follows.
(Left) C H * * 8 5 9 * 4 9 1 6 5 L # 5 6 5 £ * K B (Right)
If all the numbers are dropped from the series, which of the following will be fifth from the left?Refer to the following letter, 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 only.)
(Left) N R B C & 1 J 5 ! $ 7 S K 9 3 # (Right)
How many such numbers are there which are immediately preceded by a symbol and also immediately followed by a letter?
