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#### Arithmetics. Mental maths , Mathematical logic (other)

Carpenters were sawing some logs. They made 10 cuts and this produced 16 pieces of wood. How many logs did they saw?

#### Examples and counterexamples. Constructive proofs , Mathematical logic (other)

Among 4 people there are no three with the same name, the same middle name and the same surname, but any two people have either the same first name, middle name or surname. Can this be so?

#### Mathematical logic (other)

In a purse, there are 2 coins which make a total of 15 pence. One of them is not a five pence coin. What kind of coins are these?

#### Mathematical logic (other)

One person says: “I’m a liar.” Is he a native of the island of knights and liars?

#### Mathematical logic (other)

How can we explain why the answers in problems 89914 and 89915 are different?

#### Mathematical logic (other)

A bagel is cut into sectors. Ten cuts were made. How many pieces did this make?

#### Mathematical logic (other)

Woodchucks are sawing a log. They made 10 cuts. How many pieces were made?

#### Mathematical logic (other)

Fred always tells the truth, but Vadim always lies. What question should they be asked, so that they would give the same answers?

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