Brain Teasers
Eight People
In a mathematics contest, A, B, C, D, E, F, G and H got the top eight places. The teacher asked them to guess who got first.
A said: "Either F or H is first."
B said: "I'm first."
C said: "G is first."
D said: "B is not first."
E said: "A is wrong."
F said: "Neither I nor H is the first."
G said: "C is not first."
H said: "I agree with A."
The teacher told them that exactly three of them guessed correctly. Then, who got first?
A said: "Either F or H is first."
B said: "I'm first."
C said: "G is first."
D said: "B is not first."
E said: "A is wrong."
F said: "Neither I nor H is the first."
G said: "C is not first."
H said: "I agree with A."
The teacher told them that exactly three of them guessed correctly. Then, who got first?
Hint
It's OK to use trial and error, however, there might be better methods.Answer
Since B and D contradict each other, exactly one of them must be true.Since A and H agree with each other while E and F are against them, exactly two of these four must be true.
Therefore, neither C nor G guessed correctly. Since G guessed that C is not first, C must be first.
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