Question

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? a) The even numbered statements are true and the odd numbered statements are false. b) The odd numbered statements are true and the even numbered statements are false. c) All the statements are false. d) The 39th statement is true and the rest are false

Answer 1

Answer:

The 39th statement is true and the rest are false

Step-by-step explanation:

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? a) The even numbered statements are true and the odd numbered statements are false. b) The odd numbered statements are true and the even numbered statements are false. c) All the statements are false. d) The 39th statement is true and the rest are false

The 39th statement is true and the rest are false

This is True Statement

as this statment says  Exactly 39 Statements are Fasle

=> Except this statement all Statement are False

and all other statement says Exactly Either 1 To 38 or 40 Statements are False , Which is in fact False as  Exactly 39 Statements are Fasle

The 39th statement is true and the rest are false