Final answer:
The two contradicting statements are Statement I: Mark, Tina, and Pedro read 27 books among them for a class, and Statement III: None of the three students read more than 7 books. They are contradictory because the total of 27 books cannot be reached if all three read at most 7 books each.
Step-by-step explanation:
To identify the two statements that contradict each other from the given set, we need to consider the information provided in each statement:
- Statement I: Mark, Tina, and Pedro read 27 books among them for a class.
- Statement II: Pedro read 7 books.
- Statement III: None of the three students read more than 7 books.
To find the contradiction, let's analyze the statements. Since Pedro read 7 books, according to Statement III, neither Mark nor Tina could have read more than 7 books. If Mark or Tina had read more than 7, it would conflict with Statement III. However, considering that the total number of books read is 27 (as per Statement I), and Pedro read exactly 7, this would mean Mark and Tina would have to have read 20 books combined.
If neither can read more than 7 books, the maximum combined number they could read is 14 (7 books each). But they need to have read 20 books together for Statement I to be true, which would mean one of them would have to read more than 7 books, contradicting Statement III. Therefore, Statements I and III are the ones that contradict each other.