story problem

Question

Phoebe said "I didn't do it", ava said "phoebe islying", luke said "ava is lying", henry said, "ava did it"  Which statement is true?

Answer 1

If Phoebe is T, then

Ava = F

Luke = T

Henry = ? (because it could still be Luke or Henry, but moot)

 

If Ava = T, then

Phoebe = F

Luke = F

Henry = F (because Phoebe is the one who did it)

 

If Luke = T, then

Phoebe = F

Ava = T

Henry = ? (see Phoebe post)

 

If Henry = T, then

Phoebe = T

Ava = F

Luke = T

 

So in all likelihood, Ava's statement is the true one.