Solving the Number Digit Transformation Problem
The problem asks us to modify a given number, $5187463$, based on specific rules for its digits and then find the second digit from the left in the new number formed.
Applying Digit Transformation Rules
We need to process each digit of the number $5187463$. The rules are:
- If a digit is odd, add 1 to it.
- If a digit is even, subtract 2 from it.
Step-by-Step Digit Modification
Let's go through the digits of the number $5187463$ one by one:
| Original Digit | Odd/Even | Operation | New Digit |
|---|---|---|---|
| 5 | Odd | \( 5 + 1 \) | 6 |
| 1 | Odd | \( 1 + 1 \) | 2 |
| 8 | Even | \( 8 - 2 \) | 6 |
| 7 | Odd | \( 7 + 1 \) | 8 |
| 4 | Even | \( 4 - 2 \) | 2 |
| 6 | Even | \( 6 - 2 \) | 4 |
| 3 | Odd | \( 3 + 1 \) | 4 |
Forming the New Number
By replacing the original digits with their modified values in the same order, we get the new number.
Original Number: $5 1 8 7 4 6 3$
New Number: $6 2 6 8 2 4 4$
So, the new number formed is $6268244$.
Finding the Second Digit from the Left
The question asks for the second digit from the left in the newly formed number $6268244$.
- The first digit from the left is $6$.
- The second digit from the left is $2$.
Conclusion
After applying the given operations (add 1 to odd digits, subtract 2 from even digits) to the number $5187463$, the resulting number is $6268244$. The second digit from the left in this new number is $2$.
Important Questions from Sequence & Series
4 is related to 64 following a certain logic. Following the same logic, 9 is related to 729. To which of the following is 12 related following the same logic?
(NOTE: Operations should be performed on whole numbers without breaking down the numbers into their constituent digits. E.g., 13 – Operations on 13 such as adding/multiplying, etc., to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)What should come in place of ? in the given series based on the English alphabetical order?
ACE, FHJ, KMO, PRT, ?
Two sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number result(s) in the second number. Similarly, certain mathematical operation(s) on the second number result(s) in the third number and so on. Which of the given options follows the same set of operations as in the given sets? (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
- Each of the digits in the number 513946287 is arranged in ascending order from left to right. What will be the sum of the digits which are second from the left and third from the right in the new number thus formed?
- If 3 is added to each odd digit and 1 is subtracted from each even digit in the number 6243514, what will be the sum of the digits which are second from the left and second from the right?
