Question : Directions: Given below are two statements and two conclusions. Take the statements to be true even if they are at variance with commonly known facts, and decide whether the conclusion(s) follow(s) the given statements.
Statements:
All eyes are noses.
Some noses are lips.
Conclusions:
I. Some noses are eyes.
II. All lips are noses.
Option 1: Only conclusion I follows
Option 2: Neither conclusion I nor II follows
Option 3: Only conclusion II follows
Option 4: Both the conclusions follow
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Correct Answer: Only conclusion I follows
Solution : According to the given statements, the Venn diagram is as follows –
Let's check the conclusions –
Conclusion I:
Some noses are eyes – From the Venn diagram, it is evident that some parts of the circle representing nose lie inside the circle representing eyes while some lie outside. Thus, it can be concluded that some noses are eyes.
Conclusion II:
All lips are noses – From the Venn diagram, it is evident that the circles representing lips and noses overlap and have some part of their area in common. Thus, this conclusion doesn't follow.
So, only the conclusion I follows. Hence, the first option is correct.
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