Question : Directions: In the following question, two statements are given, followed by two conclusions, I and II. 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:
1. Some pens are glass.
2. All glass is wall.
Conclusions:
I. Some walls are pens.
II. Some walls are glass.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Both conclusion I and conclusion II follow
Option 4: Neither conclusion I nor II follows
Correct Answer: Both conclusion I and conclusion II follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some walls are pens – From the Venn diagram, we can see that the circles representing walls and pens intersect and have some areas in common. So, some walls are pens is a true conclusion.
Conclusion (II):
Some walls are glass – From the Venn diagram, we can see that the circle of glass is completely inside the circle of the wall. So, some walls are glass is a true conclusion.
So, both conclusions I and II follow. Hence the third option is correct.
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