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1 mark

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements:Some roses are pansies.Some lilies are pansies.All roses are daisies. Conclusions:I. Some roses are lilies.II. All pansies are daisies.

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

Solution & Step-by-step Explanation

Let's evaluate each conclusion using Venn diagrams or logical analysis: Conclusion I: Some roses are lilies.From the statements, we know "Some roses are pansies" and "Some lilies are pansies". There is no direct relationship or mandatory overlap specified between roses and lilies. Thus, this conclusion does not necessarily follow.Conclusion II: All pansies are daisies.We know "All roses are daisies" and "Some roses are pansies". This means the part of pansies that overlaps with roses will definitely be daisies. However, we cannot conclude that all pansies are daisies. Thus, this conclusion does not follow.Since neither conclusion follows, the correct option is D.

Practice this question

Try it yourself before checking the explanation above.

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements:Some roses are pansies.Some lilies are pansies.All roses are daisies. Conclusions:I. Some roses are lilies.II. All pansies are daisies.
A
Both conclusions I and II follow
B
Only conclusion I follows
C
Only conclusion II follows
D
Neither conclusion I nor II follows

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