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#### Mathematical logic (other)

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

#### Odd and even numbers

Are the sum and product odd or even for:

a$)$ two even numbers?

b$)$ two odd numbers?

c$)$ an odd and an even number?

#### 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?

#### Arithmetics. Mental maths

The tower clock chimes three times in 12 seconds. How long will six chimes last?

#### Puzzles

Restore the numbers. Restore the digits in the following example by dividing as is shown in the image

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