Some bags are pouches. All pouches are cases. No cases are purses. Which of the following conclusions are NECESSARILY TRUE?CONCLUSIONS:I. Some pouches are purses.II. Some bags are cases.III. No bags are purses.
Correct answer: C. II
- A. I and II
- B. I and III
- C. II
- D. II and III
Explanation
I: Since all pouches are cases and no cases are purses then no pouches are purses. This statement is false. II: Since some bags are pouches and all pouches are cases, this indicates that some bags(that are pouches) can also be cases. This statement is also true. III: This statement can be false because the bags that are not pouches can be purses.
This question appeared on the UHS MDCAT 2022 paper, which you can sit online with every answer explained.
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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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