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No students are lazy. All hardworking people are not lazy. Therefore, all studen

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Question: No students are lazy. All hardworking people are not lazy. Therefore, all students are hardworking. Is this conclusion valid?

Options:

  1. Yes
  2. No
  3. Only if some students are hardworking
  4. Only if all hardworking people are students

Correct Answer: No

Solution:

The conclusion is not valid because just because no students are lazy and all hardworking people are not lazy, it does not mean that all students are hardworking.

No students are lazy. All hardworking people are not lazy. Therefore, all studen

Practice Questions

Q1
No students are lazy. All hardworking people are not lazy. Therefore, all students are hardworking. Is this conclusion valid?
  1. Yes
  2. No
  3. Only if some students are hardworking
  4. Only if all hardworking people are students

Questions & Step-by-Step Solutions

No students are lazy. All hardworking people are not lazy. Therefore, all students are hardworking. Is this conclusion valid?
  • Logical Reasoning – The question tests the ability to analyze logical statements and determine the validity of conclusions based on premises.
  • Syllogism – The question involves understanding syllogistic reasoning, where conclusions are drawn from two premises.
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