Question : Directions: In the following question below are given some statements followed by some conclusions based on those statements Taking the given statements to be true even if they seem to be at variance from commonly known facts, Read all the conclusions and then decide which of the given conclusions logically follows the given statements.
Statements:
I. Some toys are small.
II. Some tall are toys.
Conclusions:
I. Some small are toys.
II. All small are tall.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Both conclusions I and II follow
Option 4: Neither conclusion follows
Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some small are toys – From the Venn diagram, we can see that the two circles representing small and toys overlap and have a part of their area in common. So, this conclusion follows.
Conclusion (II):
All small are tall – It is a possibility that the circle representing small is completely overlapped by the circle representing tall. But, this is not definite. So, this conclusion does not follow.
So, the only conclusion I follows. Hence, the first option is correct.
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