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:

1. eggs
2. evaporation
3. Alligator
4. a potato
5. teeth

Todd's test:

1. milk
2. transportation
3. Alligator
4. a kangaroo
5. teeth

Jason's test:

1. eggs
2. transportation
3. Crocodile
4. a kangaroo
5. ears

Alicia's test:

1. eggs
2. evaporation
3. Alligator
4. a kangaroo
5. teeth

Bebe's test:

1. milk
2. transportation
3. Crocodile
4. a kangaroo
5. 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?

At quick glance, you notice that Paul and Bebe have 0 common answers thus neither Paul nor Bebe got all 5 correct. Todd shares 2 answers with both Paul and Jason thus Todd did not get all 5 correct. Jason shares 2 answers with both Todd and Alicia thus Jason did not get all 5 correct. This leaves Alicia as the student getting all 5 answers correct and as a check, if this is the case, Paul had 4/5, Todd had 3/5, Jason had 2/5, and Bebe had 1/5.

--Graatz

Posted by Jeff on 2003-12-23 20:12:03