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SSC CHSL 2024 · PYQ · Syllogism · medium

In this question, three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusion(s) logically follows/follow from the statements. Statements: Some carrots are onions. All onions are potatoes. All potatoes are radish. Conclusions: I. Some carrots are radish. II. All onions are radish. III. No carrot is a potato.

  1. A.Both conclusions I and II follow.✓ Correct
  2. B.Only conclusion I follows.
  3. C.Only conclusion III follows.
  4. D.Only conclusion II follows.

Explanation

From 'Some carrots are onions' and 'All onions are potatoes', some carrots are potatoes; combined with 'All potatoes are radish', some carrots are radish (Conclusion I ✓). From 'All onions are potatoes' and 'All potatoes are radish', all onions are radish (Conclusion II ✓). Conclusion III is false since some carrots are potatoes. So both I and II follow.
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