Statements: Some students are hardworking. All hardworking people succeed. Conclusion: All students succeed. This conclusion is

Correct answer: B. invalid

  • A. valid
  • B. invalid
  • C. necessarily true
  • D. identical to the premise

Explanation

Only the hardworking students are guaranteed success, so the valid conclusion is that some students succeed, not all. Widening a some premise into an all conclusion is the single most common error in this topic. Always check that the quantity of the conclusion matches its support.

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About Syllogisms

Syllogisms use categorical statements such as all, some and no to establish relationships between groups. Questions require checking whether conclusions necessarily follow from the premises, often by mental set relationships or Venn diagrams, and distinguishing valid deductions from conclusions that are merely possible.

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