Brain Teasers
What's Right and What's Wrong
Mrs. Richards was grading papers one day when she came across some old tests. They were about states. But Mrs. Richards could only remember that one person got all five right. One person got three right. One person got one right. And one person got them all wrong.
Here are the test answers:
Jason
1. New York
2. Louisiana
3. Oregon
4. Texas
5. Michigan
Stephan
1. Oregon
2. Texas
3. New York
4. Louisiana
5. Michigan
Nancy
1. Oregon
2. New York
3. Louisiana
4. Michigan
5. Texas
Bridget
1. New York
2. Louisiana
3. Oregon
4. Michigan
5. Texas
What were the correct answers? Who got them all right? Who got three right? Who got one right? And who got them all wrong?
Here are the test answers:
Jason
1. New York
2. Louisiana
3. Oregon
4. Texas
5. Michigan
Stephan
1. Oregon
2. Texas
3. New York
4. Louisiana
5. Michigan
Nancy
1. Oregon
2. New York
3. Louisiana
4. Michigan
5. Texas
Bridget
1. New York
2. Louisiana
3. Oregon
4. Michigan
5. Texas
What were the correct answers? Who got them all right? Who got three right? Who got one right? And who got them all wrong?
Answer
The correct answers were: 1. New York 2. Louisiana 3. Oregon 4. Texas 5. Michigan. Jason got them all right. Bridget got three right. Stephan got one right. And Nancy got them all wrong.Hide Answer Show Answer
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Comments
Explanation: You might've noticed that Jason and Nancy never gave the same answer. Nancy could've got them all right, but then Stephan would've gotten four right and Bridget would've gotten two right. Since nobody got four or two right, Jason must've gotten them all right.
Great! I got his one!
Good teaser! I got it right. (But that was after i got it wrong a million times)
Actually, it's quite easy.
You know there are nine correct answers. No more than two people gave the same answer for the same questions, so on one question only one person got it correct and on the other four questions, two people got it correct. That means the person who got all of the questions correct agrees with another person four times: three of those must be with the same person and one with the one who got one correct.
Armed with this analysis, the problem has only one possible, easily identified solution.
You know there are nine correct answers. No more than two people gave the same answer for the same questions, so on one question only one person got it correct and on the other four questions, two people got it correct. That means the person who got all of the questions correct agrees with another person four times: three of those must be with the same person and one with the one who got one correct.
Armed with this analysis, the problem has only one possible, easily identified solution.
I just solved this one by trial and error. ;P If you had moved jason lower on the page it would have taken longer for me to solve it.
I just solved this one by trial and error. ;P If you had moved jason lower on the page it would have taken longer for me to solve it.
I just solved this one by trial and error. ;P If you had moved jason lower on the page it would have taken longer for me to solve it.
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