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If all students study hard, then they will pass. John is a student. Therefore, J

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Question: If all students study hard, then they will pass. John is a student. Therefore, John will pass. Is this conclusion valid?

Options:

  1. Yes
  2. No
  3. Only if John studies hard
  4. Cannot be determined

Correct Answer: Only if John studies hard

Solution: 

The conclusion is not valid because it depends on whether John studies hard, which is not stated.

If all students study hard, then they will pass. John is a student. Therefore, J

Practice Questions

Q1
If all students study hard, then they will pass. John is a student. Therefore, John will pass. Is this conclusion valid?
  1. Yes
  2. No
  3. Only if John studies hard
  4. Cannot be determined

Questions & Step-by-Step Solutions

If all students study hard, then they will pass. John is a student. Therefore, John will pass. Is this conclusion valid?
  • Logical Implication – The relationship between premises and conclusions in logical reasoning.
  • Conditional Statements – Understanding 'if-then' statements and their implications.
  • Syllogism – The structure of deductive reasoning involving premises leading to a conclusion.
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