Ravenclaw Tests of Logic


Brilliant, said Hermione.  This isn't magic - it's logic.




Puzzle Six - Never Fear! - Solution Page

Five Hufflepuff seventh-years are on pins and needles as they await their scores on Professor Neverwhere's final exam in Mythology. The five of them studied together (three boys, Benjamin, Eric, and Tybalt, and two girls, Agatha and Kerridwen). Their last names are, in some order, Czarus, Klein, Leonov, Salazar, and Wimble. Professor Neverwhere required each of them to write a composition on Mythology in a different culture (Greek, Roman, Sumerian, Norse, and Celtic.)

Little do they know, but all five of them passed the exam. Their scores, in one order or another, were 75, 80, 90, 95, and 100 (all out of a possible 100). Can you match the five students to their assigned exam subject, and to their score?

  1. The five students are Benjamin, Leonov, the boy who got a 95 on the exam, the one who was assigned Celtic Mythology, and the one assigned Greek Mythology.

  2. Kerridwen's score on her exam was 20 points higher than Czarus' score.

  3. Wimble got a lower exam score than the student assigned Celtic mythology.

  4. The student assigned Norse Mythology got a score 10 points higher than the score of the boy who was assigned Greek Mythology.

  5. Wimble's first name is neither Benjamin nor Eric.

  6. The student assigned Sumerian Mythology did not get a score of 95 on the exam.

  7. Leonov was not assigned Norse Mythology.

  8. Salazar did not get a score of 90 on the exam.



Solution:

The five students are Benjamin, Leonov, the boy who got a score of 95, the student who was assigned Celtic Mythology, and the one who was assigned Greek mythology (clue 1). The student who studied Greek is also a boy (clue 4). Since there are only three boys, one of whom is Benjamin, one of whom got a score of 95, and one of whom wrote about Greek Mythology, that means both Leonov and the student assigned Celtic Mythology are girls.

The student who was assigned Norse Mythology has to be one of the five students from clue 1. He or she can't also have been assigned Celtic or Greek Mythology, so this means the student assigned Norse Mythology was Benjamin, Leonov, or the boy who got a 95. It can't be Leonov (clue 7). It also can't have been the boy who scored a 95, because clue 4 says the student assigned Greek scored 10 points less than the student assigned Norse, but no one had a score of 85. So that means the student assigned Norse Mythology has to have been Benjamin.

The student assigned Sumerian Mythology also has to be one of the students from clue 1, and similarly must have been Benjamin, Leonov, or the boy who got a 95. We've already figured out that Benjamin was assigned Norse Mythology, and clue 6 says the student assigned Sumerian Mythology didn't get a 95. So the student assigned Sumerian Mythology has to have been Leonov.

If Benjamin was assigned Norse Mythology, and Leonov was assigned Sumerian Mythology, the only possibility left for the boy who scored a 95 is Roman Mythology.

The student who got the 75 couldn't have been assigned Celtic Mythology, because another student got a lower score (clue 3). The student who got a 75 also couldn't have been assigned Norse Mythology, because Norse is 10 points higher than Greek (clue 4). And it couldn't have been Greek Mythology either, because that would mean the student assigned Norse got an 85 which is not one of the possible scores. And we know that the student assigned Roman Mythology got a 95. So the person who scored 75 was assigned Sumerian Mythology - who we know to be Leonov.

Leonov is thus not Kerridwen, because Kerridwen couldn't have gotten the lowest score (clue 2), and in the first paragraph we figured out that Leonov has to be a girl - so Agatha's last name is Leonov (and she was assigned Sumerian Mythology and got a 75). Kerridwen thus has to be the other girl from the first paragraph - the one who studied Celtic Mythology.

Since Kerridwen had a score 20 points higher than Czarus' (clue 2), the only two possible combinations are 75/95 or 80/100. The student who got the 75 is Agatha Leonov. So Czarus has to have gotten a score of 80 and Kerridwen is the one who got the score of 100.

We know Kerridwen was assigned Celtic Mythology and got 100, that Agatha Leonov was assigned Sumerian Mythology and got a 75, and that the boy who was assigned Roman mythology got a 95. This means that the score of 80 went to the student who was assigned Greek Mythology (who we know is Czarus), and the score or 90 went to the student who was assigned Norse Mythology (who we know is Benjamin).

Benjamin doesn't have Wimble as a last name (clue 5), and neither does Kerridwen because she was assigned Celtic Mythology and thus got a higher score than Wimble (clue 3). This eliminates both Norse Mythology and Celtic Mythology for Wimble. Agatha Leonov studied Sumerian Mythology so that's out for Wimble, too. And Czarus is the last name of the student who studied Greek Mythology - so the only possible subject for the student whose last name is Wimble is Roman Mythology.

Benjamin was assigned Norse Mythology, Kerridwen was assigned Celtic Mythology, and Agatha was assigned Sumerian Mythology. This means Eric and Tybalt must have been the ones assigned Roman and Greek Mythology, in whatever order. We just figured out that Wimble studied Roman Mythology, and Wimble's first name isn't Eric (clue 5), so Wimble's first name is Tybalt. That means that Eric's last name is Czarus, and he studied Greek Mythology.

Finally, Benjamin's last name is not Salazar because Benjamin got a score of 90 and Salazar didn't (clue 8). We know Agatha's last name is Leonov, Tybalt is Wimble, and Eric is Czarus. The only last name left for Benjamin, then, is Klein - which leaves Salazar as the only remaining last name for Kerridwen.

To sum up:

Student Subject Score
Agatha Leonov Sumerian Mythology 75
Benjamin Klein Norse Mythology 90
Eric Czarus Greek Mythology 80
Kerridwen Salazar Celtic Mythology 100
Tybalt Wimble Roman Mythology 95



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