Solving the Number Digit Transformation Problem
This problem requires us to modify a given number based on whether its digits are even or odd, and then perform a specific calculation on the resulting number. Let's break down the process step-by-step.
Understanding the Number Transformation Rules
We are given the number $7145362$. The rules for transformation are:
- If a digit is even, we add 2 to it.
- If a digit is odd, we add 2 to it.
We need to apply these rules to each digit of the number $7145362$.
Applying the Digit Rules
Let's identify each digit, its type (odd or even), and the result after applying the rule:
| Original Digit | Type | Operation | New Digit |
|---|---|---|---|
| 7 | Odd | $7 + 2$ | 9 |
| 1 | Odd | $1 + 2$ | 3 |
| 4 | Even | $4 + 2$ | 6 |
| 5 | Odd | $5 + 2$ | 7 |
| 3 | Odd | $3 + 2$ | 5 |
| 6 | Even | $6 + 2$ | 8 |
| 2 | Even | $2 + 2$ | 4 |
Forming the New Number
By replacing the original digits with the new digits in the same order, we form the new number. The original number was $7145362$. The transformed digits are $9, 3, 6, 7, 5, 8, 4$.
Therefore, the new number formed is $9367584$.
Calculating the Sum of Specific Digits
The question asks for the sum of the last two and first two digits in the new number.
- The new number is $9367584$.
- The first two digits are $9$ and $3$.
- The last two digits are $8$ and $4$.
Now, we calculate the sum:
Sum = (First two digits sum) + (Last two digits sum)
Sum = $ (9 + 3) + (8 + 4) $
Sum = $ 12 + 12 $
Sum = $ 24 $
Final Answer Verification
The calculated sum is $24$. This matches one of the options provided.
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 1 is subtracted from each odd digit in the number 29134576, then what will be the difference between the greatest and smallest digit in the 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?
