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The Black Suspenders (Posted on 2003-09-29) Difficulty: 3 of 5
When 5 friends appeared at a formal dance, they noticed something. They were all wearing different colored suspenders, ties and shirts. Throughout the 5 of them, there were white, black, red, green, blue colored types of each. 7 pictures including them were taken. The only problem was somebody later on wanted to know what color tie and shirt the man with the black suspenders had, but that never appeared in the notes taken on each picture. Also, can you figure out what each other person wore as well?

Here are the notes on each picture taken. (They were all taken without clothes changes, but the friends might have changed involvement and position. Every one of the 4 people involved in each picture is mentioned; there are no tricks in the wording.)

Picture 1: The photographer decided to move the person with the black shirt between the person with the red tie and the person with white suspenders, and put the person with white shirt on the other side of the person with the white suspenders.

Picture 2: The photographer decided to place the three people wearing red things behind the person wearing the white tie.

Picture 3: The photographer wanted to place the person with the green tie next to the person with black shirt, and put the people with green and blue suspenders behind them.

Picture 4: The photographer decided to put the person with the white suspenders in the middle, with the person wearing the green tie in front of them. Then the people wearing red and green shirt were placed behind them.

Picture 5: The photographer decided to do the same orientation as the last picture; putting the person with the green suspenders behind the person with the person with the black tie, and putting the people with white and blue shirt in the back.

Picture 6: The photographer wanted to place the people with the blue and white suspenders in front, and the person with the black tie and the person with the green shirt behind them.

Picture 7: The photographer decided to include one person who was a friend of the person with the red suspenders and a friend of the person wearing black shirt on this picture.

Based on these notes by the photographer, can you figure out what color tie and shirt the man with the black suspenders had? Also, can you figure out what color shirt, tie, and suspenders the other four people had?

  Submitted by Gamer    
Rating: 4.0000 (1 votes)
Solution: (Hide)
In picture 1, the person with white suspenders is pictured with the person with the black shirt and white shirt, and in picture 4 he is pictured with the person with the red shirt and green shirt. Because you can't appear with yourself, the only shirt left for the person with white suspenders is the blue shirt.

In picture 1, the person with the red tie can't have a red shirt (picture 2) or black or white shirt (picture 1), or a blue shirt, (because the person wearing the blue shirt is wearing white suspenders, and the person wearing white suspenders is not wearing a red tie, picture 1).

Also, the person wearing the white suspenders was not wearing a green tie (picture 4), so the person with the green tie was not wearing the blue shirt, (because the person with the blue shirt wears white suspenders), nor was he wearing a red or green shirt (picture 4), nor a black shirt (picture 3), so the person wearing the green tie must have worn a white shirt.

Picture 3 shows the person with the green tie didn't wear the blue suspenders. Since the person with the green tie wore a white shirt, this person also didn't wear the blue suspenders. The person with blue suspenders didn't wear the blue shirt; the blue shirt was worn by the person with the white suspenders. The person with blue suspenders also couldn't have worn the green shirt (picture 6) or the black shirt (picture 3). So the person with blue suspenders must have worn the red shirt.

The person with the red shirt wore the blue suspenders, not the green ones. The person with the green suspenders also couldn't have worn a white or blue shirt (picture 5) or a black shirt (picture 3), so the person with the green suspenders must have worn the green shirt.

The person with the green shirt wore green suspenders. The person with the blue shirt wore white suspenders. The person with the red shirt wore blue suspenders So neither the person with the red shirt, green shirt or blue shirt could have worn red suspenders. Also, the person with red suspenders didn't wear a a black shirt (picture 7), so he must have worn a white shirt.

And by elimination, you can see that the person wearing black suspenders wore a black shirt.

The person with the green tie wore a white shirt and red suspenders. This means that the person wearing the black tie didn't wear the red suspenders. The person wearing the black tie didn't wear the green suspenders (picture 5) or the blue or white suspenders (picture 6), so the person with the black tie wore black suspenders.

To answer the first question, the person wearing black suspenders wore a black tie and black shirt.

Now on to the second question:

Since the person with the black tie wore the black shirt, and the person with the green tie wore white shirt, they didn't wear the red shirt. The person with the red shirt also didn't wear a red or white tie (picture 2), so the person with the red shirt must have worn the blue tie.

By elimination, you can see that the person wearing the blue shirt wore the white tie.

In conclusion:

The person with the red shirt wore a blue tie to go with his blue suspenders.
The person with the green shirt wore a red tie to go with his green suspenders.
The person with the white shirt wore a green tie to go with his red suspenders.
The person with the blue shirt wore a white tie to go with his white suspenders.
The person with the black shirt wore a black tie to go with his black suspenders.

Next year the photographer will require everyone to wear just a t-shirt and a belt, but that will be no fun!

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSolution BELATEDDej Mar2010-07-13 03:46:07
Solution Belatedsalil2006-02-10 21:36:42
Solutionsolutionabc2003-09-29 15:51:34
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