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 with commonly-known facts. You have to decide which of the given conclusions, if any, follows from the given statements.
Statements:
Some tables are chairs.
Some chairs are pens.
Conclusions:
I. Some pens are chairs.
II. Some pens are tables.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Both conclusions follow
Option 4: Neither conclusion I nor conclusion II follows
Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram, according to the given statements, is –
Let's analyse the conclusions –
Conclusion I:
Some pens are chairs – According to the Venn diagram, the circle of chairs and pens intersect and have a common area between them. Therefore, this conclusion follows.
Conclusion II:
Some pens are tables – According to the Venn diagram, there is no definite relation between tables and pens. Therefore, this conclusion does not follow.
Therefore, only conclusion I follows. Hence, the first option is correct.
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