Instructions

Considering given statements as true, select a logical conclusion based on the given statements.

Question 47

Statements: Some A are B. Some C are A.
Conclusions:
(I) Some C are B.
(II) Some B are A.

Solution

We consider A , B and C as 3 sets, and then construct a venn diagram.
Some A are B: This implies there is some intersection between A and B.
Some C are A. This implies there is some intersection between C and A.

So the venn diagram can be constructed as :

Thus, we can see there is no overlap between B and C based on the information given to us. So we cannot conclude that some C are B.

However, there is an overlap between A and B , which means that we can conclude some B are A .

Hence, only conclusion II follows, which means option B is the correct answer.

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Statements: Some A are B. Some C are A.Conclusions:(I) Some C are B.(II) Some B are A.

Solution

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Statements: Some A are B. Some C are A.
Conclusions:
(I) Some C are B.
(II) Some B are A.