Brain Teasers
Who Won the Race?
Four people finished a race, but only the runners know the results. If the top two placing runners are truthful, while the bottom 2 placing runners are lying, then who really won the race?
Delvon: Jevon got 1st.
Trevon: Delvon did worse than Jevon.
Kevion: Trevon is lying.
Jevon: I did better than Kevion.
Delvon: Jevon got 1st.
Trevon: Delvon did worse than Jevon.
Kevion: Trevon is lying.
Jevon: I did better than Kevion.
Answer
Jevon couldn't have gotten 1st because then Delvon would be the other truth teller and would have to be 2nd. Trevon would have to be lying that Delvon did worse than Jevon, which isn't a lie. Since there is a contradiction, Jevon was definitely not 1st and Delvon is lying. If Trevon is the other liar, then Jevon and Kevion must be the truth tellers. That means Delvon had to have done worse than Jevon, resulting in Trevon telling the truth. Since there is a contradiction, Trevon isn't the other liar. Kevion has to be lying about Trevon lying, so Kevion and Delvon are in the liars in the bottom 2. Jevon has to be in the top 2, but since Delvon is lying about Jevon being 1st, Jevon is 2nd and Trevon is 1st. Kevion and Delvon are still somewhere in the bottom 2.Answer: Trevon
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