Hard Adobe Interview Puzzle Question Solution - 14 March
There are a hundred statements.
First person says: At least one of the statements is false.
Second person says: At least two of the statements is false.
Third person says: At least three of the statements are false.
Fourth person says: At least four of the statements are false.
Hundredth person says: At least a hundred of the statements are false.
Analyzing it, how many statements do you think are false and how many are right?
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The hundredth statement is surely false as it says that at least a hundred of the statements are false.
But in a situation if that is correct, then hundred statements cannot be right.
This implies that the hundredth statement is wrong and that the first statement is true.
Similarly ninety nine statements can’t be true as if they were correct, then two statements would become correct i.e. the first and the ninety ninth.
But the ninety ninth statement says that at least ninety nine are wrong.
This implies that the ninety ninth statement is false and that second is correct.
If we go on calculating in the similar fashion, we will come to the conclusion that:
The first fifty statements are right and the remaining fifty statements are false.