# What Color Is Each Officer’s Badge?

+1 vote
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Officers Yellow, Red and Green each have a green badge, a yellow badge and a red badge, but none of them has a badge color that matches their name.

All 3 met at their headquarters.

The Officer with the Green badge said “I have a green badge!”, to which Officer Red replied sarcastically: “So, What?”

What Color Is Each Officer’s Badge?

posted Apr 19, 2018

The officer with the green badge has to be Officer Yellow because it is not Red as he was the one who replied to the officer, also it can't be green because then it would mean he has a badge matching his color which is not true according to the question.
1. Yellow Officer --- Green Badge.
Remaining Badge colors are Red and Yellow. This means Officer Red has a Yellow badge and Officer Green has a Red Badge otherwise Red officer will have a badge with matching color. Therefore:
2. Red Officer --- Yellow Badge.
3. Green Officer --- Red Badge.

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A bag contains 64 balls of eight different colours. There are eight of each colour (including red). What is the least number you would have to pick, without looking, to be sure of selecting 3 red balls?

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A container contains 75 white balls and 150 black ones.

Next to the container is a large pile of black balls.

The coach asks one of the players to remove the balls from the container, one at a time, according to the following strange rule: He has to remove two balls from the container at random. If at least one of the balls is black, he places it on the ball-pile and drops the other ball, no matter what color, back in the container.

If both balls are white, on the other hand, he discards both of them and removes one black ball from the pile and drops it in the container.

At each turn of this procedure, the container has one less ball in it. Eventually, just one ball is left in the container. What color is it?