Question

A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says ' At least 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 are false.
B. The odd numbered statements are true and the even numbered are false.
C. The first 35 statements are true and the last 35 are false.
D. The first 35 statements are false and the last 35 are false.

Explanation

This question is based on at least, so truth of any statement (suppose nth) will imply the truth of all (n-1)th, (n-2)th,....... 1st statements, so the only possible answer will be c) The first 35 statements are true and the last 35 are false.


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