# Thread: A really hard problem!

1. ## A really hard problem!

On a 18-hole golf course your friend gets hole in one. After the game, 5 witnesses give their clue to which of the 18 holes that your friend got hole in one in. However, only one of the 5 witnesses speaks the truth:

1) It is a not an even number
2) The number consists of two digits
3) The number only consists of straight lines
4) It is not a prime number
5) The number is not a square number

At what hole did your friend get hole in one?

2. its only a guess but i think number 3 is telling the truth . . .

3. Originally Posted by No Logic Sense
On a 18-hole golf course your friend gets hole in one. After the game, 5 witnesses give their clue to which of the 18 holes that your friend got hole in one in. However, only one of the 5 witnesses speaks the truth:

1) It is a not an even number
2) The number consists of two digits
3) The number only consists of straight lines
4) It is not a prime number
5) The number is not a square number

At what hole did your friend get hole in one?

Truth Table (witness information is Assumed CORRECT)
HOLE: 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18
#1::: 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 odd#
#2::: 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2#'s
#3::: 1 0 0 1 0 0 1 0 0 0 1 0 0 1 0 0 1 0 S.L.
#4::: 1 0 0 1 0 1 0 1 1 1 0 1 0 1 1 1 0 1 !Pr
#5::: 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 0 1 1 !sqr
sum:: 3 1 2 2 2 2 3 2 2 3 3 3 3 4 4 2 4 3

#5 spoke the truth. HIO made off 2nd tee.

4. Originally Posted by aidan
Truth Table (witness information is Assumed CORRECT)
HOLE: 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18
#1::: 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 odd#
#2::: 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2#'s
#3::: 1 0 0 1 0 0 1 0 0 0 1 0 0 1 0 0 1 0 S.L.
#4::: 1 0 0 1 0 1 0 1 1 1 0 1 0 1 1 1 0 1 !Pr
#5::: 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 0 1 1 !sqr
sum:: 3 1 2 2 2 2 3 2 2 3 3 3 3 4 4 2 4 3

#5 spoke the truth. HIO made off 2nd tee.
Very good.