In a recently held parent-teacher meeting, the teachers had very few complaints about Ravi. After all, Ravi was a hardworking and kind student. Incidentally, almost all of Ravi’s friends at school were hardworking and kind too. But the teachers drew attention to Ravi’s complete lack of interest in sports. The teachers believed that, along with some of his friends who showed similar disinterest in sports, Ravi needed to engage in some sports for his overall development.
Based only on the information provided above, which one of the following statements can be logically inferred with certainty?
Correct Answer :
Some of Ravi’s friends are hardworking and kind.
Solution :
The correct option is: Some of Ravi’s friends are hardworking and kind.
Let us analyze the logical reasoning step-by-step to understand why this statement is the only one that can be inferred with certainty from the given text:
1. Analyze the statement in the passage:
The passage states: "Incidentally, almost all of Ravi’s friends at school were hardworking and kind too."
2. Deconstruct the quantifier "almost all":
The phrase "almost all" means a very large majority, but not 100%. Therefore, it does not mean "all". However, since "almost all" of Ravi's friends are hardworking and kind, it means there is at least a non-zero portion (in fact, a large majority) of his friends who possess these qualities.
In logic, if a property applies to "almost all" members of a group, it guarantees that it applies to at least "some" members of that group. Thus, we can say with absolute certainty that "Some of Ravi’s friends are hardworking and kind."
3. Evaluate the incorrect options:
- "All of Ravi’s friends are hardworking and kind": Incorrect, because "almost all" implies that there are some friends (even if very few) who might not be hardworking and kind.
- "No one who is not a friend of Ravi is hardworking and kind": Incorrect, as the passage provides no information about people who are not Ravi's friends.
- "None of Ravi’s friends are interested in sports": Incorrect, because the passage only mentions that "some of his friends... showed similar disinterest in sports." This does not mean *all* of his friends dislike sports.
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