Liar’s Math

Aplusclick Pinocchio

Pinocchio lies

When Pinocchio lies, his nose gets twice as long. When he tells the truth, his nose gets 1 cm shorter.

Today, his nose was 1 cm long in the morning, and it is 100 cm long in the evening.

What is the least possible number of times he opened his mouth today?

True and Random

Two gods  are called True and Random. True always speaks truly and Random speaks randomly truly or falsely. You don’t know who is who.

Determine the identities of the gods by asking yes-no questions; each question must be put to exactly one god.aplusclickgods

Adapted from G. Boolos. ‘The hardest logic puzzle ever’, The Harvard Review of Philosophy (6), 1996.

 

You find the answers to the questions in Grade 12 questions at www.aplusclick.com

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