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

The even numbered statements are true and the odd numbered are false.
The first 26 statements are false and the rest are true.
The first 13 statements are true and the rest are false.
The odd numbered statements are true and the even numbered are false.

• ans is c) The first 13 statements are true and the rest are false.
  
  when atleast one of the statement is true, first one will be true.
  first n no. of statements must be true.
  
  when anyone statement becomes false,
  all the follwing statements also becomes false.
  
• 14 years agoHelpfull: Yes(17) No(12)
• The first 13 statements are true and the rest are false.
• 14 years agoHelpfull: Yes(7) No(9)
• The first 20 statements are true and the rest are false.
• 14 years agoHelpfull: Yes(5) No(14)
• First 13 true rest are false.
  No other option qualifies the given conditions.
• 14 years agoHelpfull: Yes(1) No(6)
• c
• 14 years agoHelpfull: Yes(1) No(3)
• Assume there is only one statement is there. The statement should read "Exactly 1 statement on this sheet is false" . If the truth value of the statement is true, then given statement should be false. This is contradiction. If the statement is false, Then the given statement is true. but there is not other true statement.
  Assume there are two statements. By the above logic, 2nd statement should not be true. But 1st statement is true as it truthfully says the truthfulness. By this logic we know that If there are "n" statements, (n-1)th statement is the only true statement And all other are false
• 11 years agoHelpfull: Yes(1) No(0)
• how ans is c?????plz explain
• 11 years agoHelpfull: Yes(0) No(0)
• Mahendra kumar u r right.....
  there wiil be only 39th statement true and rest will be false.
• 10 years agoHelpfull: Yes(0) No(0)