Читать книгу The Ultimate Mathematical Challenge: Over 365 puzzles to test your wits and excite your mind - Литагент HarperCollins USD, F. M. L. Thompson - Страница 10

Logic Challenge 1

The team photograph

A photograph is to be taken of the school mixed five-a-side football squad, which includes three substitutes. The girls in the squad are Liz, Jenny, Sarah and Tracey. The boys are Alan, Matthew, Peter and Steve.

The team line up in two rows of four. Read the clues below to work out who is standing where and what number they are wearing (which will be one of the numbers from 1 to 8).

Place the number in the top square of the answer grid and the name in the bottom square of each row.

The clues

 Tracey is in the front row in front of Jenny.

 The average of the two numbers in the middle of the front row is Sarah’s number, a square.

 Peter is not sitting next to a girl.

 Steve is sitting between Liz and Jenny.

 Players with prime numbers, which includes Alan, are sitting in the front row.

 There is only one boy on the end of a row.

 In both the front and back rows the two places on the right (as you look at it) are filled by a boy and a girl.

 Matthew and Steve have the highest and lowest numbers a boy could wear.

 Jenny’s number is three times as large as Tracey’s and twice as large as that of Peter, who is not sitting on the end of a row.

 Girls have even numbers.

Back row

Front row

[SOLUTION]