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
Select the set, from the given options, in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its 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.)
(6, 13, 78)
(5, 22, 110)
If + means -, - means ×, × means ÷, ÷ means +, then what will come in place of the question mark (?) in the following equation?
28 - 6 ÷ 4 + 14 × 14 = ?
In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Which numbers should replace X and Y so that the pattern followed by the two numbers on the left side of :: is the same as that on the right side of :: ?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its 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.)
X : 649 :: 956 : Y
Which two numbers should be interchanged to make the given equation correct?
75 ÷ 5 + 15 × 4 - 17 × 3 + (60 ÷ 6) × 10 = 100
(Note: Interchange should be done of the entire number and not individual digits of a given number.)
If '+' means minus, '-' means multiplication, '÷' means plus, and 'x' means division, then solve the equation:
15 - 3 + 10 x 5 ÷ 5
