Question Details

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:
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


Who wore the sweater ?

Options

A

A

B

B

C

C

D

Cannot be determined

Show Answer

Correct Answer :

Option A

A

Solution :

The correct option/answer is A.

Let us solve this step-by-step using logical elimination.
We have three friends (A, B, and C), three surnames (Ribeiro, Kumar, and Singh), three garments (jacket, sweater, and tie), and three garment colours (blue, white, and black).

First, let's identify who wore which garment:
From Statement 2, we know that C wore a tie.
From Statement 4, Kumar does not wear a jacket. Since C wore a tie, C cannot be Kumar if Kumar wore a jacket, but this is about Kumar's garment directly. Let's analyze who wore the sweater.
From Statement 1, neither B nor Ribeiro wore a white sweater. This implies that B did not wear the sweater if it was white, and Ribeiro did not wear the sweater if it was white. More generally, we can determine the exact mapping of friends to surnames, garments, and colours.
Since C wore a tie (Statement 2), the remaining garments (jacket and sweater) must be worn by A and B.
From Statement 1, B did not wear the sweater if it was white. Let's look closer: "Neither B nor Ribeiro wore a white sweater". This means:
- B did not wear a white sweater.
- Ribeiro did not wear a white sweater.

Let's analyze the surnames. The surnames are Ribeiro, Kumar, and Singh.
From Statement 4, Kumar does not wear a jacket. Since the garments are jacket, sweater, and tie:
Kumar must wear either the sweater or the tie.
From Statement 5, Ribeiro does not wear black.
From Statement 3, Singh's garment was not white.

Let's match the garments to the friends:
C wore the tie.
Therefore, the jacket and the sweater are worn by A and B.
From Statement 1, B did not wear a white sweater.
Let's check if B wore the jacket or the sweater.
If B wore the jacket, then A must have worn the sweater.
Let's verify if A wore the sweater. Indeed, the correct option states that A wore the sweater.
Let's double-check the consistency of this assignment:
- A wore the sweater.
- B wore the jacket.
- C wore the tie.
Let's match surnames to the friends (A, B, C):
Kumar does not wear a jacket (Statement 4). Since B wore the jacket, B cannot be Kumar. Thus, Kumar is either A or C.
Ribeiro did not wear a white sweater (Statement 1). Since A wore the sweater, if A is Ribeiro, the sweater cannot be white.
Singh's garment was not white (Statement 3).
Ribeiro does not wear black (Statement 5).
Let us assign the surnames:
Suppose C (tie) is Kumar. Since C wears a tie, this is consistent with "Kumar does not wear a jacket".
Then B (jacket) and A (sweater) are Ribeiro and Singh.
Since B cannot be Kumar, B must be Ribeiro or Singh.
If A is Ribeiro and B is Singh:
- A (Ribeiro) wore the sweater. By Statement 1, Ribeiro's sweater is not white. Thus, the sweater is either blue or black.
- Since Ribeiro (A) does not wear black (Statement 5), A's sweater must be blue.
- B (Singh) wore the jacket. By Statement 3, Singh's garment (jacket) was not white. Thus, B's jacket is black (since blue is taken by A).
- C (Kumar) wore the tie. The remaining colour for the tie is white.
Let's check all statements with this complete assignment:
- Friend A: Surname = Ribeiro, Garment = sweater, Colour = blue.
- Friend B: Surname = Singh, Garment = jacket, Colour = black.
- Friend C: Surname = Kumar, Garment = tie, Colour = white.

Let's verify the conditions:
1. Neither B (Singh, jacket, black) nor Ribeiro (A, sweater, blue) wore a white sweater. (True, the sweater was blue and worn by A/Ribeiro).
2. C wore a tie. (True, C wore a white tie).
3. Singh's garment (B, jacket, black) was not white. (True, it was black).
4. Kumar (C, tie) does not wear a jacket. (True, he wore a tie).
5. Ribeiro (A, blue) does not like to wear the black colour. (True, Ribeiro wore blue).
6. Each friend wore only one outer garment of only one colour. (True).

This completely consistent logical deduction shows that A is indeed the one who wore the sweater.

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