Question

ДАЮ 25 БАЛЛОВ!!! На книжной полке стоят 50 книг по математике и физике. Никакие 2 книги по физике не стоят рядом,но рядом с каждой книгой по математике стоит другая книга по математике. Какое из следующих утверждений может быть неверным? а)книг по математике хотя бы 32 б)книг по физике не более 17 в)есть 3 книги по математике,стоящие подряд г)если книг по физике 17,то одна из них-первая или последняя на полке

Answer 1

Б)книг по физике не бодее 17

Answer 2

Скорее всего б
оалалсльс

Answer 3

Analysis of the Statements

To determine which of the given statements can be false, let's analyze each statement one by one:

a) There are at least 32 books on mathematics. b) There are no more than 17 books on physics. c) There are three consecutive books on mathematics. d) If there are 17 books on physics, then one of them is either the first or the last on the shelf.

Analyzing Statement a)

Statement a) claims that there are at least 32 books on mathematics. To verify this statement, we need to consider the given information that each book on mathematics is placed next to another book on mathematics.

If there are 50 books in total and none of the physics books are placed next to each other, then there must be at least 25 pairs of mathematics books. Since each pair consists of two books, there must be at least 50 books on mathematics.

Therefore, statement a) can be true.

Analyzing Statement b)

Statement b) claims that there are no more than 17 books on physics. To verify this statement, we need to consider the given information that none of the physics books are placed next to each other.

If there are 50 books in total and each book on physics is placed next to a book on mathematics, then there must be at least 25 pairs of physics and mathematics books. Since each pair consists of two books, there must be at least 50 books in total.

Therefore, statement b) can be false.

Analyzing Statement c)

Statement c) claims that there are three consecutive books on mathematics. To verify this statement, we need to consider the given information that each book on mathematics is placed next to another book on mathematics.

If there are 50 books in total and each book on mathematics is placed next to another book on mathematics, then there must be at least 25 pairs of mathematics books. Since each pair consists of two books, there must be at least 50 books on mathematics.

Therefore, statement c) can be true.

Analyzing Statement d)

Statement d) claims that if there are 17 books on physics, then one of them is either the first or the last on the shelf. To verify this statement, we need to consider the given information that none of the physics books are placed next to each other.

If there are 50 books in total and each book on physics is placed next to a book on mathematics, then there must be at least 25 pairs of physics and mathematics books. Since each pair consists of two books, there must be at least 50 books in total.

Therefore, statement d) can be false.

Conclusion

Based on the analysis above, the statement that can be false is b) There are no more than 17 books on physics.

Please let me know if you need any further clarification.