100 statements - PrismoSkills

100 statements - PrismoSkills

Puzzle: There are 100 statements.
1^st one says : at least one is wrong.
2^nd one says : at least two are wrong.
3^rd one says : at least three are wrong.
and so on.
100^th one says : at least 100 are wrong.

How many statements are actually wrong and how many actually right ?


Solution: 100^th statement is definitely wrong because it says at least 100 are wrong.
But if that is correct, then 100 statement itself cannot be right.
=> 100^th statement is wrong and
=> 1^st statement is correct.

99^th statement cannot be correct because if it were correct,
then two statements would become correct (1^st and 99^th itself.)

But 99^th statement says that atleast 99 are wrong.
=> 99^th is wrong and
=> 2^nd is correct.

calculating so on...
50 statements are right (the first 50 ones)
remaining 50 statements are wrong.

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