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If all students study hard, and John is a student, can we conclude that John stu

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Question: If all students study hard, and John is a student, can we conclude that John studies hard?

Options:

  1. Yes
  2. No
  3. Only if John wants to pass
  4. Cannot be determined

Correct Answer: Yes

Solution: 

The conclusion is valid because if all students study hard and John is a student, then John must study hard.

If all students study hard, and John is a student, can we conclude that John stu

Practice Questions

Q1
If all students study hard, and John is a student, can we conclude that John studies hard?
  1. Yes
  2. No
  3. Only if John wants to pass
  4. Cannot be determined

Questions & Step-by-Step Solutions

If all students study hard, and John is a student, can we conclude that John studies hard?
  • Step 1: Understand the statement 'All students study hard'. This means every single student studies hard.
  • Step 2: Identify who John is. The question states that John is a student.
  • Step 3: Since John is a student and all students study hard, we can apply the first statement to John.
  • Step 4: Therefore, we conclude that John studies hard because he is included in the group of all students.
  • Logical Deduction – The ability to draw conclusions based on given premises.
  • Universal Quantification – Understanding that a statement about 'all' members of a category applies to each individual member.
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