Difficulty: Medium
Correct Answer: Red and White
Explanation:
Introduction / Context:
This is a logical deduction puzzle involving three people and their clothing colours. Each person wears a shirt and a pair of pants, with specific colours available for shirts and pants and several restrictions about who can wear which colour. You must determine the colours of A's pants and shirt, in that order, by systematically applying all the given conditions.
Given Data / Assumptions:
Concept / Approach:
This is a constraint satisfaction problem. We list the possible colours for each person and eliminate combinations that violate any condition. Since colours are all distinct within shirts and within pants, each colour is used exactly once in each category. By gradually narrowing down the possibilities, we can uniquely identify the shirt and pant colours for each person, especially for A, which the question asks about.
Step-by-Step Solution:
Step 1: Since B wears White pants, the remaining pant colours Green and Red must go to A and C in some order.Step 2: A did not wear Green pants, so A must wear Red pants. Consequently C must wear Green pants.Step 3: No person can have the same colour for shirt and pants. Since B has White pants, B cannot wear a White shirt. We are also told that B did not wear a Blue shirt. Therefore B must wear a Black shirt.Step 4: With B's shirt fixed as Black, the remaining shirt colours for A and C are White and Blue.Step 5: A did not wear a Black shirt, which is already used by B, so A can be either White or Blue. C did not wear a White shirt, so C must wear Blue.Step 6: If C wears a Blue shirt, A must wear the only remaining shirt colour, which is White.Step 7: Therefore A wears Red pants and a White shirt.
Verification / Alternative check:
Summarise the final assignment: A wears Red pants and a White shirt, B wears White pants and a Black shirt, and C wears Green pants and a Blue shirt. Check each condition: no one has the same colour for shirt and pants; A does not have Black shirt or Green pants; B does not have Blue shirt and does have White pants; C does not have a White shirt. All constraints are satisfied, confirming the solution.
Why Other Options Are Wrong:
Green and Blue for A fails because A is explicitly said not to wear Green pants. White and Black is impossible because B already uses Black for the shirt and White for the pants, and A's clothes must remain distinct by colour and person. Green and White also assigns Green pants to A, contradicting the condition. Only Red and White matches the deduced combination.
Common Pitfalls:
Common mistakes include forgetting that each colour is used exactly once for shirts and once for pants, or overlooking the restriction that shirt and pant colours cannot match for any person. Writing out a quick table of possibilities and crossing them off as each condition is applied helps avoid confusion and leads to the unique correct answer.
Final Answer:
Person A wears Red pants and a White shirt, so the correct option is Red and White.
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