Question : Directions: Consider the given statements to be true and decide which of the given conclusions can be drawn from the given statements. Statements: Some books are rocks. All rocks are clips. Conclusions: I. Some books are clips. II. No Rock is a book.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Both conclusions I and II follow
Option 4: Neither conclusion I nor conclusion II follows
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Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion I: Some books are clips – From the Venn diagram, it is evident that the circles representing books and clips overlap each other and have a part of their areas in common. So, from this, it can be concluded that some books are clip. Thus, this conclusion follows. Conclusion II: No Rock is a book – From the Venn diagram, it is evident that the circles representing books and rocks overlap each other and have a part of their areas in common. So, from this, it can be concluded that some rocks are books. Thus, this conclusion does not follow.
Therefore, only the conclusion I follows. Hence, the first option is correct.
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