Thursday, January 8, 2015

Frogs

frogs riddle
Four ladies are facing each other. Each one of them speaks twice. One of those statements is truth, the other is a lie.

Amanda:
"I am a frog but I look like a princess."
"There are at least three frogs between the four of us."

Barbara:
"I'm a princess."
"Corinna always lies."

Corinna:
"There is only one frog here."
"I'm a frog that looks like a princess."

Deborah:
"Two of us are frogs."
"I'm a princess."

Are there any frogs? If so, what are their names

Frogs Puzzle Solution

The only frog is Amanda. The table below shows, on the left, all possible combinations of frogs (X stands for frog, - stands for non-frog), while on the right pane there is the control of the truthfullness (T for true, F for false) of each given statement, for each combination of frog population. The only combination where every girl tells one true statement and one false one, is the emphasised row. Hence, there's only one frog, and that's Amanda.
Possible Frogs Statement
A B C D A B C D
- - - - F F T F F F F T
- - - X F F T F T F F F
- - X - F F T F T T F T
- - X X F F T T F T T F
- X - - F F F F T F F T
- X - X F F F F F F T F
- X X - F F F T F T T T
- X X X F T F T F T F F
X - - - T F T F T F F T
X - - X T F T F F F T F
X - X - T F T T F T T T
X - X X T T T T F T F F
X X - - T F F F F F T T
X X - X T T F F F F F F
X X X - T T F T F T F T
X X X X T T F T F T F F