All children are silly people. Some silly people are rich people. All rich people are big shots. Which of the following conclusions are NECESSARILY TRUE?CONCLUSIONS:I. Some silly people are children.II. Some rich people are children.III. Some silly people are big shots.
Correct answer: A. I and III
- A. I and III
- B. II
- C. II and III
- D. I and II
Explanation
Let's analyze each conclusion one by one: I. "Some silly people are children." This conclusion is necessarily true based on the given statements. While it's mentioned that "All children are silly people," it implies that there are some silly people who are children. It's possible that there are other silly people who are not children. II. "Some rich people are children." This conclusion is not necessarily true based on the given statements. Although it's mentioned that "Some silly people are rich people" and "All children are silly people," it doesn't necessarily mean that there are rich people who are children. There could be rich people who are not children. III. "Some silly people are big shots." This conclusion is necessarily true based on the given statements. It's stated that "Some silly people are rich people" and "All rich people are big shots." Therefore, it's logically consistent that there must be some silly people who are big shots. So, the correct conclusion is: A. I and III I and III are necessarily true based on the given statements, while II is not necessarily true.
This question appeared on the UHS MDCAT 2023 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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