[Tasks]

QUANTUM
for younger students

1. Three friends embroidered in white, green and blue dresses. Their shoes were one of the same three colors. It is known that only Anya’s dress and shoes had the same colors. Neither the dress nor Valya’s shoes were white; Natasha was wearing green shoes. Determine the color of the dress for each of the friends.

2. Without untying the rope (see figure), move the ring from the left loop to the right.

3. The boy has 25 copper coins. Are there seven coins of the same value among them?

4. The wires are connected to a homogeneous metal ball at its diametrically opposite points. In which section of the ball is more heat released when an electric current is passed through the ball?

5. An uncorked bottle sank in the sea at a depth of several kilometers. Did the bottle’s compatibility increase or decrease due to water pressure?

6. Four identical conductors are enclosed in a pipe connecting the floors of the building. The wires protrude from the pipe on the lower and upper floors by several centimeters. The ends of the wires on the lower floor are renumbered. How, with the least number of operations, can you find out the number of ends on the top floor, given a battery, a light bulb and a short piece of wire?