Question : Directions: Three statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements
Statements:
No Sticks are buses.
All schools are buses.
All buses are brave.
Conclusions:
I. No Stick is brave.
II. All schools are brave.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Neither conclusion I nor II follows
Option 4: Both conclusions I and II follow
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Correct Answer: Only conclusion II follows
Solution : According to the given statements, the Venn diagram is:
Let's analyse the conclusions –
Conclusion I:
No Stick is brave – It is a possibility that the circles representing stick and brave do not overlap. But this is not definite. Thus, this conclusion does not follow.
Conclusion II:
All schools are brave – From the Venn diagram, it is evident that the circle representing schools is completely overlapped by the circle representing brave. Thus, it can be concluded that all schools are brave.
So, the only conclusion II follows. Hence, the second option is correct.
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