Liar, liar, pants on fire (2)

Level 1

Knave of Hearts: I stole the tarts

Knave of Diamonds: The Knave Of Hearts is lying

Knave of Spades: The Knave of Diamonds is lying

Knave of Clubs: The Knave of Spades is lying

How many Knaves are telling the truth?

(Try https://brilliant.org/problems/liar-liar-pants-on-fire-3/?group=4m3IzHz7rpu7&ref_id=751141)

1 Not enough information 3 4 0 2

Zi yang Lim by Zi yang Lim , 20, Malaysia

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2 solutions

Saya Suka
Feb 16, 2021

With the first Knave stating a fact and the rest of them accusing the previous Knave of lying, then they effectively have divided themselves into two opposing sides by parity. No matter which side is telling the truth, with an even number of total Knaves, they have the same number in each side, and that number is 4 / 2 = 2.

0 Helpful 0 Interesting 0 Brilliant 0 Confused
John Jones
Dec 29, 2017

If the Knave of Hearts is telling the truth, then the Knave of Diamonds is lying, and the Knave of Spades is telling the truth and the Knave of Clubs is lying. If the Knave of Hearts is lying, then the Knave of Diamonds is telling the truth, the Knave of Spades is lying and the Knave of Clubs is telling the truth. Either way, exactly 2 of the knaves are telling the truth.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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