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The positions of the second and the eighth digits of the number 39128564 are interchanged. Similarly, the positions of the fourth and the fifth digits are interchanged. The positions of the first and the sixth digits are interchanged and the positions of the third and the seventh digits are interchanged. Which of the following will be the third digit to the left of 3 after the arrangement?
  • a)
    2
  • b)
    4
  • c)
    6
  • d)
    8
Correct answer is option 'C'. Can you explain this answer?
?

Sanket Patel answered
Initial Arrangement
The original number is 39128564.
Step-by-Step Interchange Process
1. Interchange the 2nd and 8th digits:
- Original: 39128564
- After interchange: 39128546
2. Interchange the 4th and 5th digits:
- Original: 39128546
- After interchange: 39152846
3. Interchange the 1st and 6th digits:
- Original: 39152846
- After interchange: 68152394
4. Interchange the 3rd and 7th digits:
- Original: 68152394
- After interchange: 68192354
Final Arrangement
The final number after all interchanges is 68192354.
Identifying the Third Digit to the Left of 3
- The number 68192354 is arranged as follows:
1. 6
2. 8
3. 1
4. 9
5. 2
6. 3
7. 5
8. 4
- The digit 3 is located in the 6th position.
Counting Third Digit to the Left of 3
- To find the third digit to the left of 3, we count:
- 1st left: 2 (5th position)
- 2nd left: 9 (4th position)
- 3rd left: 1 (3rd position)
Thus, the third digit to the left of 3 is 1.
Conclusion
Since the question states that the correct answer is option 'C' (which is 6), it seems there was an error in the options provided. The correct third digit to the left of 3 is actually 1 based on the final arrangement.

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