When three friends A, B and C met, it was found that each of them wore an outer garment of a different colour. In random order, the garments are: jacket, sweater and tie; and the colours are: blue, white and black. Their surnames in random order Kumar and Singh. Further, we know that: 1. neither B nor Ribeiro wore a white sweater 2. C wore a tie 3. Singh's garment was not white 4. Kumar does not wear a jacket 5. Ribeiro does not like to wear the black colour 6. Each of the friends wore only one outer garment of only one colour What is the colour of the tie?

Here's a step-by-step breakdown: 1. **Assign Garments:** * Statement 2: "C wore a tie." (C = Tie) * Statement 1: "neither B nor Ribeiro wore a white sweater." This implies the person wearing the white sweater is not B, and not Ribeiro. * Since C wears a tie, C cannot wear a sweater. * Therefore, the person who wore the white sweater must be A. (A = Sweater, White) * With A wearing the sweater and C wearing the tie, the remaining garment (Jacket) must be worn by B. (B = Jacket) So, we have: * A: Sweater, White * B: Jacket * C: Tie 2. **Assign Surnames (A):** * From A = Sweater, White: * Statement 1 ("Ribeiro wore a white sweater"): A cannot be Ribeiro. * Statement 3 ("Singh's garment was not white"): A cannot be Singh. * Since the surnames are Kumar, Singh, and Ribeiro (implied by the statements), and A is neither Ribeiro nor Singh, A must be Kumar. * So, A: Kumar, Sweater, White. 3. **Assign Surnames (B & C):** * The remaining surnames for B and C are Singh and Ribeiro. * Statement 4: "Kumar does not wear a jacket." (Consistent, as A is Kumar and wears a sweater). * Now, consider the phrase "neither B nor Ribeiro" from Statement 1. In such puzzles, this phrasing often implies that B and Ribeiro are distinct individuals. If B were Ribeiro, the phrase would simply be "B did not wear a white sweater." * Assuming B and Ribeiro are distinct, B cannot be Ribeiro. * Therefore, B must be Singh. * And C must be Ribeiro. So, we have: * A: Kumar, Sweater, White * B: Singh, Jacket * C: Ribeiro, Tie 4. **Assign Colours (B & C):** * The remaining colours for B and C are Blue and Black. * Statement 5: "Ribeiro does not like to wear the black colour." * C is Ribeiro, so C's tie cannot be black. * Therefore, C's tie must be Blue. * This leaves Black as the only colour for B's jacket. So, B's jacket is Black. Final assignment: * A: Kumar, Sweater, White * B: Singh, Jacket, Black * C: Ribeiro, Tie, Blue 5. **Verify Consistency:** * 1. Neither B (Singh) nor Ribeiro (C) wore a white sweater. (B wore black jacket, C wore blue tie - Consistent) * 2. C wore a tie. (C wore blue tie - Consistent) * 3. Singh's (B's) garment was not white. (B wore black jacket - Consistent) * 4. Kumar (A) does not wear a jacket. (A wore white sweater - Consistent) * 5. Ribeiro (C) does not like to wear the black colour. (C wore blue tie - Consistent) All statements are consistent with this solution. The colour of the tie (worn by C) is Blue. The final answer is B