Amount prediction. Effective trick and its solution

EFFECTIVE FOCUSES AND THEIR CLUES
Free library / Directory / Spectacular tricks and their clues

Amount prediction. Focus secret

Spectacular tricks and their clues

Directory / Spectacular tricks and their clues

Focus Description:

Is it possible to know in advance the amount that will result from the addition of numbers arbitrarily given by those present in the audience? Magicians have come up with many ingenious solutions to this problem, which we do not intend to deal with here, since they are based on the use of figureheads, sleight of hand, and other non-mathematical tricks.

Focus secret:

If the demonstrator is given the right to name the terms, alternating with the viewer, then he can get the desired amount without using any non-mathematical means. The simplest and oldest method for doing this is as follows: let's say you want 23 in your answer. Drop the first digit, i.e. 843, and then add it to the remaining number, you get 2. You write this number first.

Now ask the viewer to sign any four-digit number below:

3845
1528

Under these two numbers, you write, as it should seem to the audience - at random, the third four-digit number. In reality, under each number written by the viewer, you write its complement to nine:

3845
1528
8471

Next, the viewer writes his second four-digit number. You write the third number, and, as in the previous case, you make it up from numbers that complement the numbers of the viewer to nines.

Focus Predict Sum

The sum of the five numbers written out is exactly 23843. In the example just considered, the first digit of the predicted answer was 2. It corresponded to two pairs of numbers in which the sum of the digits standing one above the other was 9, and there were five terms in total. If the first digit of the assigned amount is the number 3, then you need to take three pairs of numbers with the sum of the digits standing one above the other equal to 9, etc. In all cases, you get the first number to be written down by discarding the first digit of the predicted amount, and then adding it to the remaining number. Focus can be shown with numbers made up of any number of digits. It is only necessary that in all terms it be the same.

There are many variations of this focus. For example, the viewer can write the first number. Then your number, which you write down under the number of the spectator, must be chosen so that the numbers standing one above the other add up to nine. Then the viewer writes the third number, you write the fourth number according to the same principle. The viewer writes the fifth and last number, after which you draw a line and instantly sign the amount. Or, if you find it more efficient, while the spectator adds up the numbers, turn your back, and then, without looking at what you wrote down, announce the result. The answer is obtained, of course, as follows: subtract two from the last written number and put it in front of the resulting number.

You can delay the summation process if you wish. For example, together with the viewer, you can write down six pairs of terms, each of which adds up to nine. The last "number that the viewer writes down will bring the number of terms to 13; to get the answer now, you need to subtract 6 from the thirteenth number, and then write 6 in front of the number obtained in the remainder. If you imagine that the addition will extend to, say, 28 pairs numbers before the last number is written, the trick principle remains the same: subtract 28 from the last number and put 28 in front of the resulting remainder.

There is another version of the trick, when the viewer writes down the prediction. Suppose he chose the number 538. Drop the five and add it to the remainder, you get 43. You write this number first.

Now, in turn with the viewer, using the principle of nine, you write the numbers in a column until there are five pairs under the first number:

Focus Predict Sum

The answer, of course, is the number predicted by the spectator.

Author: M.Gardner

We recommend interesting articles Section Spectacular tricks and their clues:

▪ Flowers from a handkerchief

▪ The coin passes through the handkerchief

▪ The disappearance of a coin without a trace

See other articles Section Spectacular tricks and their clues.

Read and write useful comments on this article.

<< Back

Latest news of science and technology, new electronics:

Solidification of bulk substances 30.04.2024

There are quite a few mysteries in the world of science, and one of them is the strange behavior of bulk materials. They may behave like a solid but suddenly turn into a flowing liquid. This phenomenon has attracted the attention of many researchers, and we may finally be getting closer to solving this mystery. Imagine sand in an hourglass. It usually flows freely, but in some cases its particles begin to get stuck, turning from a liquid to a solid. This transition has important implications for many areas, from drug production to construction. Researchers from the USA have attempted to describe this phenomenon and come closer to understanding it. In the study, the scientists conducted simulations in the laboratory using data from bags of polystyrene beads. They found that the vibrations within these sets had specific frequencies, meaning that only certain types of vibrations could travel through the material. Received ... >>

Implanted brain stimulator 30.04.2024

In recent years, scientific research in the field of neurotechnology has made enormous progress, opening new horizons for the treatment of various psychiatric and neurological disorders. One of the significant achievements was the creation of the smallest implanted brain stimulator, presented by a laboratory at Rice University. Called Digitally Programmable Over-brain Therapeutic (DOT), this innovative device promises to revolutionize treatments by providing more autonomy and accessibility to patients. The implant, developed in collaboration with Motif Neurotech and clinicians, introduces an innovative approach to brain stimulation. It is powered through an external transmitter using magnetoelectric power transfer, eliminating the need for wires and large batteries typical of existing technologies. This makes the procedure less invasive and provides more opportunities to improve patients' quality of life. In addition to its use in treatment, resist ... >>

The perception of time depends on what one is looking at 29.04.2024

Research in the field of the psychology of time continues to surprise us with its results. Recent discoveries by scientists from George Mason University (USA) turned out to be quite remarkable: they discovered that what we look at can greatly influence our sense of time. During the experiment, 52 participants took a series of tests, estimating the duration of viewing various images. The results were surprising: the size and detail of the images had a significant impact on the perception of time. Larger, less cluttered scenes created the illusion of time slowing down, while smaller, busier images gave the feeling of time speeding up. Researchers suggest that visual clutter or detail overload can make it difficult to perceive the world around us, which in turn can lead to faster perception of time. Thus, it was shown that our perception of time is closely related to what we look at. Larger and smaller ... >>

Random news from the Archive

Diamond magnetic field sensor 19.07.2022

A team of researchers led by the Fraunhofer Institute for Applied Solid State Physics has developed a laser-based diamond sensor. The technology uses quantum defects in diamond (NV centers) to detect the magnetic field.

The NV center or nitrogen-substituted vacancy is one of the many point defects in diamond. It is formed when the structure of the crystal lattice of the mineral is disturbed. When a carbon atom is removed from a lattice site, the resulting vacancy in this place is associated with a nitrogen atom. The researchers explain that the amount of light coming from the NV center varies depending on the strength of the magnetic field. This effect is already used by scientists, but in existing installations, most of this radiation is lost.

"Our breakthrough was the creation of a laser for defects. By collecting all the light, and not just a small amount of it, we can detect the magnetic field 10 times more accurately with our sensor compared to today's best practice," says Andrew Greentry, professor at the Royal Melbourne Institute of Technology Institute and one of the authors of the study.

The pump laser (532 nm) and the seed laser (710 nm) are combined with a dichroic mirror (DM) and are focused separately into the resonator. The green laser is blocked by 532nm notch filters (NF). The sensors capture past light (det1), reflected light (det2) and photoluminescence (det3).

The new technology will help improve methods for measuring the magnetic field to map brain activity and identify disorders. Modern magnetoencephalography devices are very sensitive, but also bulky, expensive to install, and require operation at ultra-low temperatures with liquid helium.

Using a diamond laser sensor, it is possible to create compact devices that will operate at room temperature.

Available technology will help in the early detection of Alzheimer's disease, epilepsy and other brain disorders. In addition, the device can be useful in the mining industry. For example, high-precision detection of magnetic fields will help to explore mineral deposits.

Other interesting news:

▪ Airbus helicopter on green fuel

▪ Dinosaurs, ancestors of moles

▪ Apple's eye-tracking 3D interface

▪ Australian city powered by solar energy

▪ Biometric identification station Printrak LiveScan Station Portable

News feed of science and technology, new electronics

Interesting materials of the Free Technical Library:

▪ site section Welding equipment. Article selection

▪ article Artificial human organs. History of invention and production

▪ article What are Sprains, Tendon Sprains and Bruises? Detailed answer

▪ article Buzulnik. Legends, cultivation, methods of application

▪ article Small-size antennas of portable stations of SV communication (part 1). Encyclopedia of radio electronics and electrical engineering

▪ article Two-story lens. physical experiment

Leave your comment on this article:

All languages of this page

Home page | Library | Articles | Website map | Site Reviews