The pages of a book are numbered from 1to n.When the page numbers of the book were added together one of the page number was added twice resulting in the incorrect sum of 1986.If the number on the page that was added twice is `lambda` then `lambda` is.

"The sum of twice a number subtracted from 5 and thrice the same number added to 4" can be expressed as

Twice a number is added to half the number, and result is 250. Find one-tenth of the number

A book is published in three volumes, the pages being numbered from I onwards.The page numbers are continued from the first volume to the second volume to the third. The number of pages in the second volume is 50 more than that in the first volume, and the number pages in the third volume is one and a half times that in the second. The sum of the page numbers on the first pages of the three volumes is 1709. If n is the last page number, what is the largest prime factor of n?

A note book is made up of sheets folded in the middle and stapled. Each sheet form two leaves i.e., four pages. On removing some papers of the first half and second half of the book, Joe found the number of the leaves, in the first case as odd and in the second case as even. If the sum of the numbers of the pages on the last leaf of the book is 63, then what could be the maximum possible sum of the numbers on the pages of leaves that were left in the book.