Modifying Digits in the Number 8315476
The problem asks us to perform specific operations on the digits of the number 8315476 and then identify a digit based on its position from the right.
The original number is 8315476.
The rules for modifying the digits are:
- Add 1 to each odd digit.
- Subtract 2 from each even digit.
Step-by-Step Digit Modification
Let's apply these rules to each digit of the number 8315476:
| Original Digit | Digit Type | Operation | Calculation | Resulting Digit |
|---|---|---|---|---|
| 8 | Even | Subtract 2 | $8 - 2$ | 6 |
| 3 | Odd | Add 1 | $3 + 1$ | 4 |
| 1 | Odd | Add 1 | $1 + 1$ | 2 |
| 5 | Odd | Add 1 | $5 + 1$ | 6 |
| 4 | Even | Subtract 2 | $4 - 2$ | 2 |
| 7 | Odd | Add 1 | $7 + 1$ | 8 |
| 6 | Even | Subtract 2 | $6 - 2$ | 4 |
Identifying the Resulting Number
After applying the operations to each digit, the new sequence of digits forms the modified number. Combining the resulting digits in order, we get:
6426284
Finding the Third Digit from the Right
Now, we need to find the digit that is third from the right in the modified number 6426284.
Let's count the positions from the right:
- The first digit from the right is 4.
- The second digit from the right is 8.
- The third digit from the right is 2.
Therefore, the digit that will be third from the right is 2.
Important Questions from Mathematical Operations
What will come in the place of ‘?’ in the following equation if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged?
18 ÷ 9 + 24 × 3 − 16 = ?If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’, and ‘D’ stands for ‘−’, what will come in place of the question mark (?) in the following equation?
88 B 3 D 12 A 4 C 6 = ?Select the set in which the numbers are related in the same way as are the numbers of the given sets.
(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/subtracting/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.)
Given sets:
(9, 21, 193)
(12, 15, 184)What will come in the place of the question mark (?) in the following equation, if ‘÷’ and ‘+’ are interchanged and ‘−’ and ‘×’ are interchanged?
44 ÷ 78 + 6 − 3 × 19 = ?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.)
