A sheet of paper has statements numbered from 1 to 30. For all values of n from 1 to 30, statement n says "At most n of the statements on this sheet are false". Which statements are true and which are false?

a) All statements are false.
b) All statements are true.
c) The even numbered statements are true and the odd numbered are false.
d) The odd numbered statements are true and the even numbered are false.
plz explain answer

• Statement 30 reads, "At most 30 of the statements on this sheet are false"
  Since there are only 30 statements on the sheet, there can't be 31 or more false statements. The statements could be true, false, or neither, but there aren't more than 30 of them. So statement 30 is true.
  
  Now look at statement 29. Statement 30 is already true, so that leaves 29 possible statements that could possibly be false, at most. So statement 29 is true n so on
  
  ans: b
• 13 years agoHelpfull: Yes(16) No(3)
• ANS:a) because consider 1st and 2nd statements
  In 1st statement it is said that atmost one statement is false(that means only one statement or less is false but not more). But, immediately
  in 2nd statement it is said that "at most" two statements are false(that means two statements or less are false but not more). The 2nd statement itself is deviating from first one. so, first one is false,this continues till last statement.
  So, answer is option a)
• 14 years agoHelpfull: Yes(13) No(6)
• Answer is A) Keyword is Atmost ,when u find atmost answer will be all false
• 14 years agoHelpfull: Yes(8) No(7)
• ANS:a bcoz atmost means maximum number of statements in the sheet
• 14 years agoHelpfull: Yes(1) No(7)