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# In a magical swamp there are two species of talking amphibians: toads,

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Math Expert
Joined: 02 Sep 2009
Posts: 58396
In a magical swamp there are two species of talking amphibians: toads,  [#permalink]

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29 Mar 2019, 03:59
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Difficulty:

55% (hard)

Question Stats:

50% (03:54) correct 50% (02:16) wrong based on 12 sessions

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In a magical swamp there are two species of talking amphibians: toads, whose statements are always true, and frogs, whose statements are always false. Four amphibians, Brian, Chris, LeRoy, and Mike live together in this swamp, and they make the following statements.

Brian: "Mike and I are different species."

Chris: "LeRoy is a frog."

LeRoy: "Chris is a frog."

Mike: "Of the four of us, at least two are toads."

How many of these amphibians are frogs?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4

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Re: In a magical swamp there are two species of talking amphibians: toads,  [#permalink]

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29 Mar 2019, 04:35
One of chris and leroy is toad. Other is frog because if both are frog, both are lying. That means according to their statement they are toad(not frog). But it is already established both are frog. Similar logic with both being toad.
Between brian and mike, both are frogs. If brian is toad,mike is frog. But we know of chris and leroy is toad. So, there are atleast two toads which means mike is lying and is a frog. Contradictory to aforementioned. If brian is frog, mike and brain are same speices. Mike is frog. There are not altleast two toads. As only one of chris and leroy is toad. So, total toads=1, frogs=3
Imo, option d.

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Re: In a magical swamp there are two species of talking amphibians: toads,   [#permalink] 29 Mar 2019, 04:35
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