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deductionsyllogismslogical-inference

Which Conclusion Logically Follows From These Premises?

Problem Statement

Premise 1: All doctors are educated. Premise 2: Some educated people are wealthy. Which conclusion must be true? A) All doctors are wealthy. B) Some doctors might be wealthy. C) No doctors are wealthy. D) All wealthy people are doctors.

Answer

B) Some doctors might be wealthy

Step-by-Step Explanation

  1. 1

    Let's examine each option:

  2. 2

    Option A: 'All doctors are wealthy' - This doesn't follow. We only know some educated people are wealthy, not all.

  3. 3

    Option B: 'Some doctors might be wealthy' - This is possible. Doctors are educated, and some educated people are wealthy.

  4. 4

    Option C: 'No doctors are wealthy' - This contradicts the possibility that some educated people (including doctors) are wealthy.

  5. 5

    Option D: 'All wealthy people are doctors' - This reverses the logic incorrectly.

  6. 6

    The correct answer is B.

  7. 7

    We cannot conclude that all doctors are wealthy, but it's possible that some are.