SOLUTION: How many pets do I have? All my pets but two are Dogs. All my pets but two are Cats. All my pets but two are Parrots.

Question 1086564: How many pets do I have? All my pets but two are Dogs. All my pets but two are Cats. All my pets but two are Parrots.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Maybe you have just 2 pets of a kind not listed,
such as having only a rabbit and a snake, or two turtles,
but that would mean it was a trick question.

If it is not a trick question, you have 3 pets:
one dog, one cat and one parrot.
You must have at least one pet of each of the listed kinds,
and you cannot have 2 pets of any of those kinds.
"All my pets but two" implies there are at least 2 pets.

You need at least one pet of each kind.
If you had 0 of any kind (let's call it pet kind #1),
you would have exactly 2 pets.
If your 2 pets were of of the same kind (let's call it pet kind #2),
all your pets but none would be kind #2,
and that would make one of your three statements a lie.
If your 2 pets were one each of kind #2 and kind #3,
all your pets but 1 would be kind #2,
all your pets but 1 would be kind #3,
and two of your statements would be lies.

You cannot have more than one pet of each kind, either.
If you had 2 pets of one kind (let's call it pet kind #2),
you would also need at least 1 pet of kind #1, and at least one pet of kind #3,
along with 2 pets of kind #2.
Then,
all your pets but 3 or more would be kind #1,
and all your pets but 3 or more would be kind #3,
making 2 of those statements lies.
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