Linear arrangement — five schools facing North A, B, C, D, E are in one row facing North. A is in the middle of E and B (order E – A – B). E is to the right of D. If C and D are at the two ends, which school is immediately to the left of C?
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AE
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BA
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CD
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DB
Answer
Correct Answer: B
Explanation
Introduction / Context:We are to place five entities in a line with “between” and end-point constraints, then identify C’s left neighbor.
Given Data / Assumptions:
- Ends are C and D (unknown which side).
- E is to the right of D.
- A is between E and B in the order E – A – B (left→right).
Concept / Approach:Try feasible placements respecting ends and the E–A–B chain, then confirm each clue.
Step-by-Step Solution:Put D at the left end to satisfy “E is to the right of D.”Choose D=1. To fit E–A–B, assign E=2, A=3, B=4; then C (the other end) must be at 5.Check all constraints: ends C (5) and D (1) ✔; E right of D ✔; A between E and B ✔.Thus C’s immediate left neighbor is position 4 → B.
Verification / Alternative check:Trying D at the right end contradicts “E is to the right of D,” so the derived arrangement is essentially forced.
Why Other Options Are Wrong:E/A/D do not occupy position 4 in any valid arrangement meeting all constraints.
Final Answer:B