Question : Directions: Consider the given statements to be true and decide which of the given conclusions can be drawn from the given statements.
Statements:
Some teachers are followers.
Some followers are famous.
Conclusions:
I. Some teachers are famous.
II. Some followers are teachers.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Both conclusions I and II follow
Option 4: Neither conclusion I nor II follows
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Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some teachers are famous – From the Venn diagram, it is evident that there is no direct relation between teachers and famous. So, no definite relation can be drawn. Therefore, this conclusion does not follow.
Conclusion (II):
Some followers are teachers – From the Venn diagram, it is evident that the circles representing teachers and followers overlap each other and have a part of their areas in common. So, from this, it can be concluded that some followers are teachers. Therefore, this conclusion follows.
So, only the conclusion II follows. Hence, the second option is correct.
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