From a book, a number of consecutive pages are missing. The sum of the page numbers of these pages is 9808.
Which pages are missing?

• Let the number of missing pages be n and the first missing page number is p+1.
  Then the pages p+1 up to and including p+n are missing,
  sum of numbers on missing pages =
  n(((p+1)+(p+n))/2)=9808
  
  n*(2*p+n+1)= 32*613
  One of the two terms n and 2*p+n+1 must be odd, and the other one must be even. Also the term n must be smaller than the term 2*p+n+1.
  so there are only two possible cases:
  n=1 and (2*p+n+1)=32*613, so n=1 and p=9807, so only page 9807+1 = 9808 is missing
  which is not possible as at least 2 pages are counted when a leaf is missing.
  other chance is
  n=32 and 2*p+n+1=613, so n=32 and p=290, so the pages 291 up to and including 322 are missing.
  hence the pages 291 up to 322 (including 322) are missing.
• 12 years agoHelpfull: Yes(6) No(1)
• number of missing pages = 32
  pages from 291 to 322 are missing.
• 12 years agoHelpfull: Yes(1) No(1)
• dipin can u plz explain ...how?
  or any body who knw anser plz give explaintn
• 12 years agoHelpfull: Yes(0) No(0)