Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
Some scissors are spoons.
All spoons are plates.
Conclusions:
I. Some plates are spoons.
II. Some spoons are scissors.
III. Some plates are scissors.
Option 1: All of the conclusions follow
Option 2: Only conclusions II and III follow
Option 3: Only conclusions I and II follow
Option 4: Only conclusions I 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 analyze the conclusions –
Conclusion (I):
Some plates are spoons –
From the Venn diagram, it is evident that some parts of the circle representing plates lie inside the circle representing spoons while some lie outside. Thus, it can be concluded that some
plates are spoons.
Conclusion (II):
Some spoons are scissors –
From the Venn diagram, it is evident that the circles representing spoons and scissors overlap and have some parts of their area in common. Thus, it can be concluded that some
spoons are scissors.
Conclusion (III):
Some plates are scissors –
From the Venn diagram, it is evident that the circles representing plates and scissors overlap and have some parts of their area in common. Thus, it can be concluded that some
plates are scissors.
So, all of the conclusions follow. Hence, the first option is correct.
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