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The statements below are followed by two conclusions labeled I and II. Assuming that the information in the statements is true, even if it appears to be at variance with generally established facts, decide which conclusion(s) logically and definitely follow(s) from the information given in the statements.Statement 1 : All shells are skins.Statement 2 : No skins are cats.Conclusion I : No shells are cats.Conclusion II : Some skins are shells.

  1. A
    Neither I nor II follows
  2. B
    Only conclusion I follows
  3. C
    Both I and II follow
  4. D
    Only conclusion II follows

Solution & Step-by-step Explanation

Let's analyze the statements using Venn diagrams or logical deductions: All shells are skins: This means the set of shells is entirely contained within the set of skins (). No skins are cats: This means the set of skins and the set of cats are completely disjoint ().Now let's evaluate the conclusions:Conclusion I (No shells are cats): Since all shells are inside skins, and no skins are cats, it is impossible for any shell to be a cat. This conclusion follows.Conclusion II (Some skins are shells): Since all shells are skins, the region occupied by shells forms a part of skins. Assuming the set of shells is non-empty, some skins are definitely shells. This conclusion follows.Therefore, both conclusions I and II follow.

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The statements below are followed by two conclusions labeled I and II. Assuming that the information in the statements is true, even if it appears to be at variance with generally established facts, decide which conclusion(s) logically and definitely follow(s) from the information given in the statements.Statement 1 : All shells are skins.Statement 2 : No skins are cats.Conclusion I : No shells are cats.Conclusion II : Some skins are shells.
A
Neither I nor II follows
B
Only conclusion I follows
C
Both I and II follow
D
Only conclusion II follows

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