Digit swap in pairs – For 3597280164, interchange (1↔6), (2↔7), (3↔8), (4↔9), (5↔10). After rearrangement, which digit is fourth from the right end?

Difficulty: Easy

Correct Answer: 5

Explanation:


Introduction / Context:
We perform specified swaps on a 10-digit number and then read off a position from the right side.


Given Data / Assumptions:

  • Original digits (1-based): [3,5,9,7,2,8,0,1,6,4].
  • Swap pairs: (1,6), (2,7), (3,8), (4,9), (5,10).


Concept / Approach:
After swaps, compute the final sequence and convert “fourth from right” to left index 7 (since 10 - 4 + 1 = 7).


Step-by-Step Solution:
After swaps: [8,0,1,6,4,3,5,9,7,2].Fourth from right = position 7 = 5.


Verification / Alternative check:
Rightmost positions: 1st→2, 2nd→7, 3rd→9, 4th→5. Consistent with the computed sequence.


Why Other Options Are Wrong:
3/4/9 are present but not at the specified right-based index.


Common Pitfalls:
Mis-mapping right-based positions to left indices; mixing the order of swaps or applying swaps cumulatively on already swapped positions incorrectly.


Final Answer:
5

More Questions from Time Sequence

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion