A teacher gave her students a short quiz, but after grading the test, she lost her grade book and the answer key. Here are five students' exams:
Paul's test:
- eggs
- evaporation
- Alligator
- a potato
- teeth
Todd's test:
- milk
- transportation
- Alligator
- a kangaroo
- teeth
Jason's test:
- eggs
- transportation
- Crocodile
- a kangaroo
- ears
Alicia's test:
- eggs
- evaporation
- Alligator
- a kangaroo
- teeth
Bebe's test:
- milk
- transportation
- Crocodile
- a kangaroo
- ears
She did remember, however, that someone got all five questions correct, someone got four right, someone got three correct, another person got two questions correct, and one person got only one answer right.
Who got all five questions correct?
Paul and Bebe have all different answers, so if one of them got all questions correct, then the other one got none correct. Since everybody got at least one question correct, neither Paul nor Bebe got all correct.
If Todd got them all correct, then Paul and Jason would both have two correct. However, only one person got two correct. Therefore, Todd did not get all correct.
If Jason got all correct, then Todd and Alicia would both have two correct. Therefore, Alicia got all questions correct. Then, Paul got four correct, Todd got three correct, Jason got two correct, and Bebe got one correct.
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Posted by Math Man
on 2012-03-05 10:30:42 |
Answer
