A sheet of paper has statements numbered from 1 to 40. For all values 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?

All the statements are false.
The 39th statement is true and the rest are false.
The odd numbered statements are true and the even numbered statements are false.
The even numbered statements are true and the odd numbered statements are false.

• The 39th statement is true and the rest are false.
• 14 years agoHelpfull: Yes(26) No(6)
• nth stmt says that "exactly n of the stmts on this sheet are false"
  
  so that we can conclude that n stmts are false rest are holds true
  
  so 39th stmt says that "the 39th stmt is true and rest are false" means that there is only 39th stmt is true rest of 39th stmts are false.
• 14 years agoHelpfull: Yes(24) No(5)
• The 39th statement is true and the rest are false
• 14 years agoHelpfull: Yes(8) No(3)
• The 39th statement is true and the rest are false.
• 14 years agoHelpfull: Yes(7) No(4)
• trick:for atleast-first half is true and remaining are false.
  for exactly-1 statement is true and remaining are fals.
  atmost-all statements are true
• 11 years agoHelpfull: Yes(7) No(2)
• can anyone plzz expalin it..
  
• 12 years agoHelpfull: Yes(2) No(0)
• all statements are false
  exactly n statements are false
  then 40 statements are false
  
• 14 years agoHelpfull: Yes(1) No(22)
• option: b
• 14 years agoHelpfull: Yes(1) No(0)
• ans will be b:
• 11 years agoHelpfull: Yes(0) No(0)
• According to me ans is (b)
  39th statement is true and the rest is false
  Because if so, then according to the question statement will say that "Exactly 40 of the statements on this sheet are false" if this is true then it cannot be possible
  So... The statement "Exactly 39 of the statements on this sheet are false", if it is true then from 40 statements 39th statement will be true and rest will be false.
• 9 years agoHelpfull: Yes(0) No(0)