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Decipher the puzzle shown in the picture. Same letters correspond to same numbers, different letters to different numbers.

On the street, four girls are talking in a circle: Anna, Kate, Jane and Nina. The girl in the green dress $($not Anna and not Kate$)$ stands between the girl in the blue dress and Nina. The girl in the white dress stands between the girl in the pink dress and Kate. What color dress was each girl wearing?

The Olympic gold-medalist Greyson, the silver-medalist Blackburn and bronze-medalist Reddick met in the club before training. “Pay attention,” remarked the black-haired one, “one of us is grey-haired, the other is red-haired, the third is black-haired. But none of us have the same colour hair as in our surnames. Funny, is not it?”. “You’re right,” the gold-medalist confirmed. What color is the hair of the silver-medalist?

Find out the principles by which the numbers are depicted in the tables $($shown in the figures below$)$ and insert the missing number into the first table, and remove the extra number from the second table.

In the town of Ely, all families have separate houses. On one fine day, each family moved into a house that used to be occupied by another family. In this regard, it was decided to paint all houses in red, blue or green, and so that for each family the color of the new and old houses did not match. Can this be done?

How, without any means of measurement, can you measure a length of 50 cm from a shoelace, whose length is 2/3 meters?

A class contains 38 pupils. Prove that within the class there will be at least 4 pupils born in the same month.

It is known that in January there are four Fridays and four Mondays. What day of the week is January 1st?

Five first-graders stood in line and held 37 flags. Everyone to the right of Harley has 14 flags, to the right of Dennis – 32 flags, to the right of Vera – 20 flags and to the right of Maxim – 8 flags. How many flags does Sasha have?

Harry, Jack and Fred were seated so that Harry could see Jack and Fred, Jack could only see Fred, and Fred could not see anyone. Then, from a bag which contained two white caps and three black caps $($ the contents of the bag were known to the boys $)$, they took out and each put on a cap of an unknown color, and the other two hats remained in the sack. Harry said that he could not determine the color of his hat. Jack heard Harry’s statement and said that he did not have enough information to determine the color of his hat. Could Fred on the basis of these answers determine the color of his cap?

How can we divide 24kg of nails into two parts of 9kg and 15kg with the help of scales without weights?

It is known that “copper” coins that are worth 1, 2, 3, 5 pence weigh 1, 2, 3, 5 g respectively. Among the four “copper” coins $($one for each denomination$)$, there is one defective coin, differing in weight from the normal ones. How can the defective coin be determined using scales without weights?

The director of a power plant, considering the list of phone numbers and the names of his employees, noticed a certain relationship between names and phone numbers. Here are some names and phone numbers from the list:

Achinskiy 9125

Butenko 7215

Dapin 5414

Galick 6711

Martyanof 9136

Romidze 7185

What is the phone number of an employee named Ognef?

What are the eight coins you need to take, so that you can use them to pay without change any amount from 1 pence up to 1 pound?

$($In circulation at the time, there were coins of 1, 3, 5, 10, 20 and 50 pence$)$.

In an ordinary set of dominoes, there are 28 tiles. How many tiles would a set of dominoes contain if the values indicated on the tiles did not range from 0 to 6, but from 0 to 12?

Fred and George are twin brothers. One of them always tells the truth, and the other always lies. You can ask only one question to one of the brothers, to which he will answer “yes” or “no”. Try to find out the name of each of the twins.

Cowboy Joe was sentenced to death in an electric chair. He knows that out of two electric chairs standing in a special cell, one is defective. In addition, Joe knows that if he sits on this faulty chair, the penalty will not be repeated and he will be pardoned. He also knows that the guard guarding the chairs on every other day tells the truth to every question and on the alternate days he answers incorrectly to every question. The sentenced person is allowed to ask the guard exactly one question, after which it is necessary to choose which electric chair to sit on. What question can Joe ask the guard to find out for sure which chair is faulty?

Is it always the case that in any 25 GBP banknotes – that is £5, £10, £20, and £50 notes – there will always be 7 banknotes of the same denomination?

When three friends – Nina, Helen and Anna – went out for a walk, they were wearing white, red and blue dresses. Their shoes were of the same three colors, but only Nina had the same shoe and dress color. At the same time, neither Helen’s dress, nor her shoes were blue, and Anna was wearing red shoes. Determine the color of the dresses and of the shoes of each friend.