1011.3: Tough Grader
A: Is that your grade on the top of that paper?
B: Yeah.
A: Is that out of 100?
B: Uh-huh. My professor gives us some really tough quizzes. That’s the fourth one.
A: What are your other grades?
B: Put it this way: the product of my first three quizzes is 2450, while their sum is twice the grade you just saw, which was the fourth quiz.
A: Hmm...That doesn’t quite answer the question.
B: You’re right. I forgot to mention that the product of my two lowest grades is less than my highest grade.
A: Ah, that clears it up.
What were B’s four grades?
Solutions, with explanations, to Puzzle #1011.3: Tough Grader may be sent to puzzle@hamilton.edu, or, via campus mail, to Russell Marcus, Philosophy Department. Make sure to include your contact information with your solution. A winner will be chosen among those who submit satisfactory solutions. Any one may play the puzzle, but only current Hamilton College students may win prizes.
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