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Can you solve this riddle?

Which suspects are innocent or guilty of the crime? A, B, C and D.

 

These are the facts;

 

-If A is guilty then B is an accomplice.

-If B is guilty then either C is an accomplice or A is innocent.

-If D is innocent, then A is guilty and Cis innocent.

-If D is guilty, so is A.

 

 

So, who´s guilty and who´s innocent and how do you work this out??????

 

[biggrin]

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Guest FarnsBarns

I believe C is guilty and A, B, and D are innocent.

 

Every other option I could think of caused a self contradiction.

 

Edit: no that's wrong, start again.

 

Edit 2: it seems to be an impossible catch 22.

 

Edit 3: they are all guilty. Yep, that works, sling them all in prison!

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Guest FarnsBarns

The ABC

 

'Twas midnight in the schoolroom And every desk was shut

When suddenly from the alphabet Was heard a loud "Tut-Tut!"

Said A to B, "I don't like C; His manners are a lack.

For all I ever see of C Is a semi-circular back!"

 

"I disagree," said D to B, "I've never found C so.

From where I stand he seems to be An uncompleted O."

C was vexed, "I'm much perplexed, You criticise my shape.

I'm made like that, to help spell Cat And Cow and Cool and Cape."

 

"He's right" said E; said F, "Whoopee!" Said G, "'Ip, 'Ip, 'ooray!"

"You're dropping me," roared H to G. "Don't do it please I pray."

"Out of my way," LL said to K. "I'll make poor I look ILL."

 

To stop this stunt J stood in front, And presto! ILL was JILL.

"U know," said V, "that W Is twice the age of me.

For as a Roman V is five I'm half as young as he."

 

X and Y yawned sleepily, "Look at the time!" they said.

"Let's all get off to beddy byes." They did, then "Z-z-z."

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Guest FarnsBarns

I believe B is guilty! as being guilty is the same as being an accomplice..

 

Then C must be in on it too.

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they are all guilty [biggrin]

 

1 If A is guilty then B is an accomplice.

2 If B is guilty then either C is an accomplice or A is innocent.

3 If D is innocent, then A is guilty and Cis innocent.

4 If D is guilty, so is A.

 

suppose A is guilty

 

from 1) B is also guilty

from 2) C would have to be an accomplice as we assume A is not innocent

from 3) D can not be innocent, as this implies C is innocent, but from 2 we found he was an accomplis - so D=guilty

4) D=guilty implies A is guilty - this is consistent

 

so if A is guilty, then B,C,D are also guilty

 

 

secondly

 

suppose A is innocent, then

From 4) D can only be innocent - Guilt of D would imply that A is guilty, but we are assuming innocence

from 3) A would be guilty because D is innocent (as proved in last statement) - this is impossible, we already assumed he was innocent

A can not be innocent in any circumstance

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