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Twonko

Love God
Jun 8, 2001
2,106
48
UK
Three women - Anna, Barbara and Jayne were arrested for the murder of Susan. One of these three were the murderess, one was an accomplice, and one was innocent.

Three statements were collected:
A. "Anna was not the accomplice"
B. "Barbara is not the murderess"
C. "Jayne is not innocent"
The following facts are also known:
1. A statement does not concern the woman who gave it.
2. The innocent woman gave at least one statement.
3. Only the innocent woman tells the truth.

Which woman is the murderess?
 
3. Only the innocent woman tells the truth.

<> 2 of the statements are wrong, one is right.

If u use up all the possible true/false combinations of the statements (theres only 3) the only one that fits with one innocent, one accomplice, one murderer is

: jayne murdered, anna helped, other biatch was innocent - she was with me at time ;)

:D
 
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Monkey u r wrong

u r saying babara is innocent
so from
1. A statement does not concern the woman who gave it.
and
3. Only the innocent woman tells the truth.
and
B. "Barbara is not the murderess"

Barbara would have to also be the murderess
 
Anna is murderess
Barbara is accomplice
Jayne is innocent

I'll let some1 else say why.
 
Assumption 1: every1 gave exactly 1 statement
1a) Barbara is innocent
therefor Barbara can't say "Barbara is not the murderess" so it has to be said by a guilty person and has to be false so Barbara has to be murderess whcish is in conflict with 1a

1b) Anna is innocent
Therefor Anna can't say "Anna was not the accomplice" so, same as 1a reasoning she also has to be accomplice which is in conflict with 1b

1c) Jayne is innocent
that means Jayne has to say one of these and a uilty person has to say other
A. "Anna was not the accomplice"
B. "Barbara is not the murderess"
hence 1 will be true and 1 will be false
BUT either both have to be true or both have to be false coz no1 cab be bother the murderer and the accomplice


so therefor 1 has to be wrong
and hence the

2)innocent person gave more than 1 statement
2a) Anna is innocent
therefor "Anna was not the accomplice" has to be said by a guilty person and anna has to be accomplice, so 2s is wrong

2b) Barbara is innocent
therefor "Barbara is not the murderess" has to be said by a guilty person and has to be false and she has to be murderess.
2b is wrong

3b) Jaybe is innocent
Only option left, has to be true
A. "Anna was not the accomplice"
B. "Barbara is not the murderess"
is said by Jayne and both are true so

Anna is murderess
Barbara is accomplice
Jayne is innocent
 
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Three statements were collected:
A. "Anna was not the accomplice"
B. "Barbara is not the murderess"
C. "Jayne is not innocent"
The following facts are also known:
1. A statement does not concern the woman who gave it.
2. The innocent woman gave at least one statement.
3. Only the innocent woman tells the truth.


Assuming C) statement made by innoncent this makes either Jayne murder or accomplish

Jayne is murder

Makes B) true, which is made by innoncent who must be Anna, but this makes A) not fit. (cant be said by Anna and must be a lie)

Jayne is accomplice.

Makes A) true, which means it is said by Barbara, who cant say B) which is also true, so Jayne cant be accomplice.

So Jayne is innocent.

For rest to fit Jayne must have said other two statements, which makes Anna murderer, and Barbara the Accomplish.
 
Another one:

A group of aeroplanes is based on a small island. The tank of each plane holds just enough fuel to take it halfway around the world. Any desired amount of fuel can be transferred from the tank of one plane to the tank of another while the planes are in flight. The only source of fuel is on the island, and for the purposes of the problem it is assumed that there is no time lost in refuelling either in the air or on the ground.

What is the smallest number of planes that will ensure the flight of one plane around the world on a great circle, assuming that the planes have the same constant speed and rate of fuel consumption and that all planes return safely to their island base?
 
it cost 2/12th of a tank to fly 1/12th of a round.

3 planes

Step 1

P1, P2, P3, goes 2/12th around the globe.

P3 moves 4/12th fuel onto P1 and returns to fill up.

Step 2

P1 and P2 continues untill 3/12th around world.

P2 at 6/12th tank, P1 at 10/12th

P2 moves 2/12th tank to P1 and returns with 4/12th tank (need 6/12th to get back safe but P3 just got time to refill and collect it)

When P1 is 1/2 around the globe both P2 and P3 is at the main base fully refilled. Reverse above order and all 3 plains returns safely.
 
It takes 5 planes.

If 2 planes take off together and fly around the world, after 1/2 way through their journey (a quarter of the way around the world), the second plane transfers his fuel to the first plane. That would take the first plane 3/4 of the way around the world.

A third plane would then be needed to re-fuel the second plane so it could get back to base.

A fourth plane would be needed to re-fuel the first plane so it could finish it's journey

A fifth plane would then be needed to re-fuel the fourth plane so it could get back to base.