A sheet of paper has statements numbered from 1 to N. For each value of n from 1 to 40, statement N says "Exactly N of the statements on this sheet are false." Which statements are true and which are false?

• For exactly 1st statement is true and remaining 39 statements are false.
  for atleast 1st half is true and remaining half are false.
  For almost all statements are true.
• 8 years agoHelpfull: Yes(8) No(4)
• 39th statement is correct. as it says "39 statement on this page are false". because all statement says different no of statements are false, so it is not at all possible that all statement are true.
  
• 8 years agoHelpfull: Yes(5) No(0)
• 39th statement is true and rest are false
• 8 years agoHelpfull: Yes(3) No(3)
• can anyone please explain this better?
• 8 years agoHelpfull: Yes(3) No(2)
• only 39th statement is true
  As it is saying - "Exactly 39 of the statements on this sheet are false", so for all others to become false this one i.e. 39th statement needs to be true
• 2 years agoHelpfull: Yes(0) No(0)