If 1 is added to each even digit and 1 is subtracted from each odd digit in the number 4564735864, then the sum of digits which is 6th and 4th from right and left respectively ____.
11
Let's break down the process of transforming the number and finding the required sum.
Digit Transformation Process
The original number is 4564735864. We need to apply specific rules to its digits:
- Add 1 to each even digit.
- Subtract 1 from each odd digit.
Let's transform the number digit by digit:
- The 1st digit is
4(even): $4 + 1 = 5$ - The 2nd digit is
5(odd): $5 - 1 = 4$ - The 3rd digit is
6(even): $6 + 1 = 7$ - The 4th digit is
4(even): $4 + 1 = 5$ - The 5th digit is
7(odd): $7 - 1 = 6$ - The 6th digit is
3(odd): $3 - 1 = 2$ - The 7th digit is
5(odd): $5 - 1 = 4$ - The 8th digit is
8(even): $8 + 1 = 9$ - The 9th digit is
6(even): $6 + 1 = 7$ - The 10th digit is
4(even): $4 + 1 = 5$
After applying the transformations, the new number becomes 5475624975.
Locating Specific Digits
We need to find the sum of two specific digits in the transformed number 5475624975:
- The 6th digit counting from the right.
- The 4th digit counting from the left.
Let's identify these digits:
Transformed number: 5 4 7 5 6 2 4 9 7 5
Counting from the right:
- 1st from right:
5 - 2nd from right:
7 - 3rd from right:
9 - 4th from right:
4 - 5th from right:
2 - 6th from right:
6
Counting from the left:
- 1st from left:
5 - 2nd from left:
4 - 3rd from left:
7 - 4th from left:
5
Calculating the Final Sum
The question asks for the sum of the 6th digit from the right and the 4th digit from the left in the transformed number.
Sum = (6th digit from right) + (4th digit from left)
Sum = $6 + 5$
Sum = $11$
Therefore, the sum of the specified digits after the transformation is 11.
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Important Questions from Arrangement and Pattern
Select the option that represents the correct order of the given words as they would appear in an English dictionary.
1. Decline
2. Decouple
3. Decrease
4. Decorate
5. Decorum
6. Decode
Select the option that represents the correct order of the given words as they would appear in an English dictionary.
1. Penguins
2. Pendants
3. Penthouse
4. Pendulum
5. Pentagon
6. Penalize
Select the option that represents the correct order of the given words as they would appear in an English dictionary.
1. Dissolve
2. Display
3. Distance
4. Disturb
5. Displace
6. Dispute
Which of the following options represents the correct order of the given words as they would appear in the English dictionary?
1. Glob
2. Globule
3. Global
4. Globe
5. Gloom
If the letters of the word ADISNHPANRKARFACHTARKYAR were written in reverse order, then which would be the third letter to the right of the ninth letter from the left?
