Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which conclusions logically follow(s) from the statements.
Statements:
I. Some A are B.
II. All C are B.
Conclusions:
I. Some B are A is a possibility.
II. No C is A.
III. All A are C.
Option 1: None of the conclusions follow
Option 2: Only conclusion I follows
Option 3: All the conclusions follow
Option 4: Only conclusion III 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 B are A is a possibility – From the Venn diagram, it is evident that the circles representing B and A overlap and have some parts of their area in common. Thus, this conclusion follows.
Conclusion (II):
No C is A – From the above diagram, it is evident that there is no definite relation between C and A. So, this conclusion doesn't follow.
Conclusion (III):
All A are C – From the above diagram, it is evident that there is no definite relation between C and A. So, this conclusion doesn't follow.
So, the only conclusion I follows. Hence, the second option is correct.
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