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How many pairs of digits in the number 839456 have as many numbers between them as in the series of natural numbers both in backward and forward directions?
One
Two
Three
More than three
None of these
Here’s a breakdown to find the number of pairs of digits in the number 839456:
- We need to find pairs with the same number of digits between them as there are between corresponding numbers in a natural sequence.
- In the sequence, consider the difference between their positions.
- Example: For digits like 3 and 9, they have five numbers between them in a sequence — 4, 5, 6, 7, 8.
- Check each pair:
- 8 and 9: 0 number between (not valid)
- 3 and 4: 0 number between (valid)
- 3 and 5: 1 number between (not valid)
- 3 and 9: 5 numbers between (valid)
- 9 and 4: 3 numbers between (valid)
- 4 and 5: 0 number between (valid)
- 5 and 6: 0 number between (valid)
- Total valid pairs are four in number.
Correct Answer: Option 4: More than three
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