Question : Directions: In this question, three statements are given, followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows/follow from the statements. Statements: All balls are flowers. All flowers are plates. Some plates are cups. Conclusions: I. Some flowers are balls. II. Some plates are flowers. III. All cups are plates.
Option 1: Only conclusions I and II follow
Option 2: Only conclusion III follows
Option 3: Only conclusion II follows
Option 4: Only conclusion I follows
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Correct Answer: Only conclusions I and II follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion I: Some flowers are balls – In the above diagram, it can be seen that the circle of balls is completely inside the circle of flowers, which implies that some flowers are balls. So, this conclusion is true based on the given statements. Conclusion II: Some plates are flowers – In the above diagram, it can be seen that the circle of flowers is completely inside the circle of plates, which implies that some of the plates are flowers. So, this conclusion is true based on the given statements. Conclusion III: All cups are plates – In the above diagram, it can be seen that the circle of plates overlaps with some parts of the circles of cups which implies that some cups are plates, but all plates are cups is not a true conclusion based on the given statements.
So, only conclusions I and II follow. Hence, the first option is correct.
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