Five friends on a bench – identify the two extremes: Rules: C is to the left of A, and A is to the left of B (C … A … B). Also, D is to the right of B and to the left of E (B … D … E). Who are at the two extreme ends (leftmost and rightmost)?

Difficulty: Easy

Correct Answer: C and E

Explanation:


Introduction / Context:
We are given two chains that must be merged into a single left-to-right order. The task is to identify the extreme-left and extreme-right persons.



Given Data / Assumptions:

  • C … A … B (A is to the left of B but to the right of C).
  • B … D … E (D is to the right of B but to the left of E).
  • Distinct persons A, B, C, D, E sit in one row from left to right.


Concept / Approach:
Merge the two constraints by overlapping the shared person B and preserving order on each side. The combined consistent sequence becomes C – A – B – D – E.



Step-by-Step Solution:

Start with C – A – B from the first rule.Append D to the right of B and E to the right of D to satisfy the second rule.The final arrangement is C (leftmost), A, B, D, E (rightmost).


Verification / Alternative check:
Any reordering that changes the relative positions (e.g., placing D left of B or A right of B) will violate at least one rule.



Why Other Options Are Wrong:
Pairs that do not include C on the far left or E on the far right contradict the merged chain.



Common Pitfalls:
Misreading “left of” and “right of” or trying to place D to the left of B.



Final Answer:
C and E

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