Liar, liar, pants on fire.

Level 2

Knave of Hearts: I am telling the truth

Knave of Clubs: The Knave of Hearts is lying

Knave of Diamonds: The Knave of Clubs is lying

Knave of Spades: The Knave of Clubs is lying

If we know for sure that at least 2 Knaves are telling the truth, how many Knaves can we assume are telling the truth?

(Try https://brilliant.org/problems/liar-liar-pants-on-fire-2-2/?group=nhvSw58gaR2I&ref_id=752145)

Not enough information 2 4 3

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1 solution

Saya Suka
Feb 16, 2021

Between the Knaves of Hearts & Clubs, one is a truth teller while the other a liar (with an accusation involved which could be either true or false). We are told that there's at least another truth teller, then the statement of "The Knave of Clubs is lying" must be the spoken truth, and by both of the others. Thus, we have the Knave of Clubs as the only liar among the four Knaves.

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