Question : Directions: In the following question, two statements are given followed by three conclusions I, II, and III. 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: No cup is plate. All plates are spoons. Conclusions: I. Some cups are spoons. II. Some spoons are plates. III. Some plates are spoons.
Option 1: Only conclusion II follows
Option 2: Only conclusion III follows
Option 3: Only conclusions I and III follow
Option 4: Only conclusions II and III follow
Correct Answer: Only conclusions II and III follow
Solution : The possible Venn diagram for the according to the given statements –
Let's analyse the conclusions – Conclusion (I): Some cups are spoons – From the Venn diagram, there is no definite relation between the circle of the cup and the spoon. Therefore, this conclusion does not follow. Conclusion (II): Some spoons are plates – From the Venn diagram, the circle of plates is completely inside the circle of spoons. So, some spoons are plates. Therefore, this conclusion follows. Conclusion (III): Some plates are spoons – From the Venn diagram, we can see that all plates are spoons. Therefore, some plates are spoons is a true conclusion as some is the subset of all.
So, only conclusions II and III follow. Hence, the fourth option is correct.
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