Question : Directions: Two statements are given followed by four conclusions, 1 to 4. 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: (a) Some skirts are benches. (b) No bench is a table. Conclusions: I. Some skirts are tables. II. some benches are skirts. III. All benches are skirts. IV. Some tables are skirts.
Option 1: Only I follows
Option 2: Only II follows
Option 3: Only II and IV follow
Option 4: Only I and III follow
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Correct Answer: Only II follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion I: Some skirts are tables – This conclusion cannot be logically drawn from the given statements because there is no direct relation between skirts and tables. Conclusion II: Some benches are skirts – From the Venn diagram, it is evident that the circles representing benches and skirts intersect and have a common area between them. So, it can be concluded that some benches are skirts. Conclusion III: All benches are skirts – From the Venn diagram, it is evident that the circles representing benches and skirts intersect and have a part of their area in common. So, it can be concluded that some benches are skirts not all. Conclusion IV: Some tables are skirts – This conclusion cannot be logically drawn from the given statements because there is no direct relation between tables and skirts.
So, the only conclusion II follows. Hence, the second option is correct.
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