Passage

Consider the given information and answer the three items that follow. 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 are: Ribeiro, Kumar and Singh. Further, we know that:

neither B nor Ribeiro wore a white sweater.
C wore a tie.
Singh’s garment was not white.
Kumar does not wear a jacket.
Ribeiro does not like to wear the black colour.
Each of the friends wore only one outer garment of only one colour.

QUESTION

CSAT

Medium

Reasoning

Prelims 2016

What is the colour of the tie?

Select an option to attempt

Explanation

The garments are: jacket, sweater, and tie. The colors are: blue, white, and black. The surnames are: Ribeiro, Kumar, and Singh.

Given clues: Neither B nor Ribeiro wore a white sweater. C wore a tie. Singh’s garment was not white. Kumar does not wear a jacket. Ribeiro does not like to wear the black colour. Each of the friends wore only one outer garment of only one colour.

Step-by-step deductions:

Clue 2 tells us that C wore a tie. Since the colors available for the tie are blue, white, and black, C must have worn one of those colors.
Clue 1 tells us that neither B nor Ribeiro wore a white sweater. Therefore, A must be the one who wore the white sweater, as it is the only remaining option for the sweater.
Clue 3 tells us that Singh’s garment was not white. Since A wore the white sweater, A’s surname must be Kumar, as Singh cannot wear white.
Clue 4 tells us that Kumar does not wear a jacket. Since A is Kumar and A wore the white sweater, A did not wear the jacket.
Clue 5 tells us that Ribeiro does not like to wear the black color. Therefore, Ribeiro cannot wear the black tie.

Now, C wore a tie, and C’s surname is Ribeiro (from the earlier deduction). Ribeiro does not like the black color (Clue 5), so C must have worn the blue tie, as blue is the only remaining option for the tie.

Conclusion: The color of the tie is blue.