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IMSO 2008 — International Mathematics — Essay Question 11

IMSO Maths · IMSO 2008 — International Mathematics — Essay

Question 11

Jenny has a number of books in her bookshelf. She will move all the books to another bookshelf. If she moves 2 books repeatedly then she will have 1 book left. There will also be 1 book left if she moves 3, or 4, or 5 books repeatedly. If she moves 7 books repeatedly, she will have no books left. If the number of all the books is less than 500, find the number of Jenny’s books.