Rank shifts in a fixed-length row In a row of 21 girls, Monika moves four places to the right and becomes 12th from the left. What was her earlier position from the right end?

Difficulty: Medium

Correct Answer: 14th

Explanation:


Introduction / Context:
Row-ranking problems use a fixed total length. Moving within the row changes left/right indices while preserving N (the total count).



Given Data / Assumptions:

  • Total N = 21.
  • After moving 4 to the right, Monika is 12th from the left.


Concept / Approach:
If the new left-rank is 12 after shifting 4 to the right, the earlier left-rank was 12 − 4 = 8. Convert that earlier left-rank to right-rank via N − L + 1.



Step-by-Step Solution:
Earlier left-rank = 12 − 4 = 8.Earlier right-rank = 21 − 8 + 1 = 14.



Verification / Alternative check:
Positions from left and right should sum to N + 1: 8 + 14 = 22 = 21 + 1.



Why Other Options Are Wrong:
They do not satisfy the invariant L + R = N + 1 with earlier L = 8.



Common Pitfalls:
Forgetting to adjust by +1 when converting between left and right ranks.



Final Answer:
14th

More Questions from Time Sequence

Discussion & Comments

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