$[$ Mathematical logic (other) $]$

In a cup, a glass, a jug, and a jar, there are milk, lemonade, kvass, and water. It is known that water and milk are not in the cup; the container with lemonade stands between the jug and the container with kvass; the jar does not contain lemonade or water; the glass stands next to the jar and the container with milk. In which container is each liquid poured?

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What is in the jar? And in the cup?

## Solution

The jar can only contain kvass, as it is stated that it is not lemonade, not water, and not milk. In the cup, there is lemonade, since it is known that it is not milk, not water, and not kvass. Since the glass does not contain milk, kvass, or lemonade, it must be water, and in the jug, what is left, i.e., milk.

## Answer

In the cup - lemonade, in the glass - water, in the jug - milk, in the jar - kvass.