### Brain Teasers

# Belly Beans

Jelly Belly beans were the first jelly beans in outer space when President Reagan sent them on the 1983 flight of the space shuttle Challenger.

Three astronauts had four jelly beans left among them one night - a black, a yellow, a green and a red. No astronaut ate more than one jelly bean and the red bean was definitely eaten. According to the following statements, determine which astronaut ate which jelly bean.

1. If the second astronaut did not eat the yellow or green jelly bean, then the first astronaut ate the red bean.

2. The second astronaut ate the yellow jelly bean, unless the first astronaut ate the red jelly bean.

3. If the third astronaut did not eat the black or yellow jelly bean then the second astronaut ate the red bean.

4. If the third astronaut ate the yellow jelly bean then the first astronaut did not eat the red jelly bean.

Three astronauts had four jelly beans left among them one night - a black, a yellow, a green and a red. No astronaut ate more than one jelly bean and the red bean was definitely eaten. According to the following statements, determine which astronaut ate which jelly bean.

1. If the second astronaut did not eat the yellow or green jelly bean, then the first astronaut ate the red bean.

2. The second astronaut ate the yellow jelly bean, unless the first astronaut ate the red jelly bean.

3. If the third astronaut did not eat the black or yellow jelly bean then the second astronaut ate the red bean.

4. If the third astronaut ate the yellow jelly bean then the first astronaut did not eat the red jelly bean.

### Hint

If all else fails, use trial and error.### Answer

First astronaut - red jelly beanSecond astronaut - green jelly bean

Third astronaut - black jelly bean

From statement 3, you can deduce that the third astronaut did NOT eat the red jelly bean.

Similarly, from statement 1, it can be determined that the second astronaut did not eat the red jelly bean. Therefore the first astronaut ate the red jelly bean.

From 4, then the third did not eat the yellow bean. Therefore they ate the black jelly bean since from 3, the second did not eat the red bean.

From 2, the second ate the green and the yellow bean was uneaten.

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## Comments

Great Teaser!!!

outstanding... more teasers please

FANTASTIC!

Test for genius! Very nice!!!

Weren't the 1:st Astronaut supposed to eat the red bean if the 2:nd did NOT eat the green bean.

If the second did NOT eat the yellow or green then the first did for sure, but if the second did not then the statement is disregarded - so it is still possible that the first DID eat the red

I believe the correct answer would be 1-red, 2-Black, 3-Green based on statement 1

I finally solved it, but now my head hurts.

If I am reading this correctly. The problem is flawed. Statement one says:

1. If the second astronaut did not eat the yellow or green jelly bean, then the first astronaut ate the red bean.

Therefore the 2nd astronaut had to eat the black bean for the first to eat the red. Now look at how the rest of the logic makes it impossible.

1. If the second astronaut did not eat the yellow or green jelly bean, then the first astronaut ate the red bean.

Therefore the 2nd astronaut had to eat the black bean for the first to eat the red. Now look at how the rest of the logic makes it impossible.

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