Guessing the crossed out number. Effective trick and its solution

EFFECTIVE FOCUSES AND THEIR CLUES
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Guessing the crossed out number. Focus Secret

Spectacular tricks and their clues

Directory / Spectacular tricks and their clues

Focus Description:

You stand with your back to the board. The participant writes down any six-digit number on the board. You ask him to write a new number from the digits of the original number rearranged in any order. Then the smaller number is subtracted from the larger number. The resulting difference is multiplied by any number. In the resulting product, one digit that is not equal to zero is arbitrarily crossed out.

Then the participant must tell you in random order all the uncrossed out numbers. You guess the crossed out one.

Focus secret:

If the numbers are rearranged and the smaller one is subtracted from the larger one, then the resulting difference is divided by 9. It is clear that the product must also be divisible by 9. The sum of the digits of this product must also be divisible by 9. When you are called the numbers, you mentally add them. After all the numbers are called to you, you must figure out which number to add to your sum so that the resulting number is divisible by 9. In the course of the steps, you can always add the numbers of the resulting intermediate amount to facilitate the calculation.

For example, if you have a sum of 25 and must add 6, then you can add 6 not to 25, but to 7 (2 + 5). As a result, you can get not 13, but 4 (1 + 3).

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Random news from the Archive

The crowd has a collective mind 30.09.2019

This conclusion was reached by a group of American ichthyologists who studied the reaction of North American schooling fish to frightening stimuli. It turned out that this depends not so much on the sensitivity of individual individuals, but on the configuration of the pack as a whole.

The object of study in this case was the golden notemigonus (Notemigonus crysoleucas) - a freshwater fish widespread in the waters of North America, vaguely resembling our roach, but noticeably larger - up to 30 cm in length. Notemigonuses stay in packs and, as it should be herbivores, they are afraid of predators. Noticing those nearby, the fish try to move away as far as possible.

Scientists imitated being a predator nearby by introducing a drug called schreckstoff into the water - a mixture of substances released from the skin of a fish when it is damaged. For other fish, this is a sure sign that a predator is somewhere nearby, having just eaten someone, and probably looking for the next prey.

It turned out that the reaction rate of a flock of notemigonus depends not so much on the sensitivity of individual individuals, but on the configuration of the flock. The smaller the distance between individual fish, the faster they became frightened.

“Increasing the sensitivity of each individual to risk can lead to an excessive number of false positives that spread throughout the group,” says one of the authors of the study, Ian Cousin. On the other hand, strengthening social ties in the group allows you to accelerate risk awareness, but this mechanism becomes overly sensitive. .

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