Question
A book, comprising of A3 size sheets bound in the centre, form a book with 200 A3 size pages numbered one to 200 back to back. The middle A3 sheet is then pulled out from the book. What is the resulting sum of all the page numbers still remaining in the book?
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Answer:
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The initial sum of all pages in the book =200×2012=20100.
If we try to visualize the binding of the book, it would consist of 100 leaves, printed back to back so that the total number of pages in the book = 200.
If we pull out the middle sheet from the book, pages 99, 100, 101 and 102 would get pulled out.
Therefore, resulting sum of all the page numbers still remaining in the book = 20100 - (99+100+101+102) = 19698
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:
The initial sum of all pages in the book =200×2012=20100.
If we try to visualize the binding of the book, it would consist of 100 leaves, printed back to back so that the total number of pages in the book = 200.
If we pull out the middle sheet from the book, pages 99, 100, 101 and 102 would get pulled out.
Therefore, resulting sum of all the page numbers still remaining in the book = 20100 - (99+100+101+102) = 19698
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