Understanding the Digit Transformation Process
The problem asks us to modify a given number, $29134576$, based on specific rules applied to its digits. We need to apply these rules and then find the difference between the largest and smallest digits in the newly formed number.
Applying Transformation Rules to Digits
The rules are:
- Add 2 to each even digit.
- Subtract 1 from each odd digit.
Let's apply these rules to each digit in the number $29134576$:
| Original Digit | Digit Type | Operation | New Digit |
|---|---|---|---|
| 2 | Even | $2 + 2$ | 4 |
| 9 | Odd | $9 - 1$ | 8 |
| 1 | Odd | $1 - 1$ | 0 |
| 3 | Odd | $3 - 1$ | 2 |
| 4 | Even | $4 + 2$ | 6 |
| 5 | Odd | $5 - 1$ | 4 |
| 7 | Odd | $7 - 1$ | 6 |
| 6 | Even | $6 + 2$ | 8 |
Forming the New Number
After applying the transformations, the sequence of digits becomes $4$, $8$, $0$, $2$, $6$, $4$, $6$, $8$. The new number formed is $48026468$.
Calculating the Difference
Now, we need to find the difference between the greatest and smallest digits in this new number, $48026468$.
- The greatest digit in $48026468$ is $8$.
- The smallest digit in $48026468$ is $0$.
The difference is calculated as:
Difference = Greatest Digit - Smallest Digit
Difference = $8 - 0$
Difference = $8$
Final Result
The difference between the greatest and smallest digit in the number formed after the transformations is 8.
Important Questions from Number Arrangement
- If 2 is added to each even digit and 1 is subtracted from each odd digit in the number 5672493, then which of the following digits will be third from the left in the new number thus formed?
- If 2 is added to each even digit and 2 is added to each odd digit in the number 7145362, what will be the sum of the last two and first two digits in the new number thus formed?
- This question is based on the five, three-digit numbers given below.
(Left) 267 513 671 895 729 (Right)
(Example: 697 - First digit = 6, second digit = 9 and third digit = 7)
(NOTE: All operations to be done from left to right.)
If the digits of each number are added and their respective resultants are arranged in the ascending order, what is the number placed 4th from the right end? - Each of the digits in the number 7231456 is arranged in ascending order from left to right. What will be the sum of the digits which are second from the left and second from the right in the new number thus formed?
Refer to the following number and symbol series and answer the question that follows.
All numbers are single-digits. Counting to be done from left to right only.
(Left) & 1 # 6 * ^ @ 3 & $ 7 Ω $ 2 # 6 @ 2 % 9 (Right)
If all the symbols are dropped from the series, which of the following will be third from the left?
