Question : Directions: In the following question, two statements are given, followed by two conclusions, I and II. You have to consider the two statements to be true, even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements. Statements: I. Some pins are cups. II. No cup is a book. Conclusions: I. Some pins are books. II. Some pins are not books.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Both conclusions follow
Option 4: Neither conclusion I nor conclusion II follows
Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some pins are books – According to the Venn diagram there is no definite relation between pins and books. Therefore, this conclusion is a false conclusion. Conclusion (II): Some pins are not books – According to the Venn diagram some pins are cups and no cups are books, therefore, part of the pins that are cups are definitely not books. So, this conclusion is correct.
So, the only conclusion II follows. Hence, the second option is correct.
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