Correct Option (2)
The problem requires deducing the specific attributes (surname, garment, and colour) for each friend based on the given clues. A systematic approach helps in eliminating possibilities and arriving at the unique solution.
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Initial Garment-Surname Deduction:
- Clue 2 states that C wore a tie.
- Clue 4 states that Kumar does not wear a jacket.
- Given that C wears the tie, the remaining garments are a jacket and a sweater. Since Kumar does not wear the jacket, Kumar must wear the sweater.
- Therefore, the person wearing the jacket must be either Ribeiro or Singh.
- Summary of Garment-Surname links: Kumar wears the Sweater, C wears the Tie, and the Jacket is worn by either Ribeiro or Singh.
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Friend-Surname-Garment Assignment:
- Clue 1 states, "Neither B nor Ribeiro wore a white sweater."
- Since Kumar wears the sweater, Ribeiro cannot be Kumar. This means Ribeiro wears either the Jacket or the Tie.
- If Ribeiro wears the sweater, it cannot be white. If B wears the sweater, it cannot be white.
- Let's consider the possibility that Kumar's sweater is white. If Kumar's sweater is white, then Kumar cannot be B (due to Clue 1). This implies that A must be Kumar.
- If A is Kumar (wearing a White Sweater), then B must be Singh (wearing the Jacket), and C must be Ribeiro (wearing the Tie).
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Colour Deduction and Verification:
- Based on the assignment: A = Kumar (Sweater), B = Singh (Jacket), C = Ribeiro (Tie).
- Clue 3 states, "Singh’s garment was not white." Since B is Singh and wears a Jacket, B's Jacket is not white.
- Clue 5 states, "Ribeiro does not like to wear the black colour." Since C is Ribeiro and wears a Tie, C's Tie is not black.
- We have three garments (Sweater, Jacket, Tie) and three colours (Blue, White, Black).
- From our assumption, Kumar (A) wears a White Sweater.
- The remaining garments are B's Jacket and C's Tie, and the remaining colours are Blue and Black.
- B (Singh)'s Jacket is not white (Clue 3), so it must be Blue or Black.
- C (Ribeiro)'s Tie is not black (Clue 5), so it must be Blue or White.
- Since the Sweater is White, the Tie cannot be White. Therefore, C's Tie must be Blue.
- If C's Tie is Blue, then B's Jacket must be Black (as Blue is taken and the Jacket cannot be White).
- This leads to a consistent and unique solution:
- A is Kumar, wearing a White Sweater.
- B is Singh, wearing a Black Jacket.
- C is Ribeiro, wearing a Blue Tie.
- All clues are satisfied by this configuration. The colour of the tie (worn by C) is Blue.
Incorrect Options:
Options 1 (Black), 3 (White), and 4 (Cannot be determined) are incorrect because the logical deductions, based on all provided clues, lead to a unique and consistent assignment where the tie is Blue. Any other colour for the tie would contradict one or more of the given conditions.