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 C’s surname?

Select an option to attempt

Explanation

Key information: 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. So, C did not wear a jacket or a sweater.
Clue 1 tells us that neither B nor Ribeiro wore a white sweater. This means the white sweater must be worn by A (since it's the only remaining option).
Clue 3 tells us that Singh’s garment was not white. This means that A’s surname is not Singh, because A is the one who wore the white sweater. Hence, A’s surname is Kumar or Ribeiro.
Clue 4 tells us that Kumar does not wear a jacket. Since A wears the white sweater, this means A's surname is Kumar.

So, A is Kumar, and C wore a tie. The only remaining color for C's tie is blue, because A wore a white sweater, and Ribeiro does not like black (Clue 5).

Therefore, C's surname must be Ribeiro, and B’s surname must be Singh, since the surnames left are Ribeiro and Singh.