Question : Directions: 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 follow(s) from the statements.
Statements:
Some plants are flowers.
Some flowers are fruits.
All flowers are gardens.
Conclusions:
I. Some gardens are plants.
II. Some fruits are gardens.
III. Some gardens are flowers.
Option 1: All of the conclusions follow
Option 2: Only conclusions I and III follow
Option 3: Only conclusions I and II follow
Option 4: Only conclusions II and III follow
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Correct Answer: All of the conclusions follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion I:
Some gardens are plants – From the Venn diagram, the circle of the garden intersects the circle of the garden and has a common area between them. Therefore, this conclusion is true.
Conclusion II:
Some fruits are gardens – From the Venn diagram, the circle of fruits intersects the circle of gardens and has a common area between them. Therefore, this conclusion is true.
Conclusion III:
Some gardens are flowers – From the Venn diagram, the circle of flowers is completely inside the circle of the garden. Therefore, this conclusion is true.
So, all the conclusions follow. Hence, the first option is correct.
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