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 of the given conclusions logically follow(s) from the statements.
Statements:
I. All W are B.
II. All M are B.
Conclusions:
I. Some B are M.
II. All W are M.
III. All B are W.
Option 1: Only conclusion II follows
Option 2: Only conclusion I follows
Option 3: Only conclusions I and III follow
Option 4: None of the conclusions follow
Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyze the conclusions –
Conclusion (I):
Some B are M –
From the Venn diagram, it is evident that some parts of the circle representing B lie inside the circle representing M while some lie outside. Thus, it can be concluded that some B are M.
Conclusion (II):
All W are M – From the Venn diagram, it is evident that there is no definite relation between W and M. Thus, this conclusion does not follow.
Conclusion (III):
All B are W –
From the Venn diagram, it is evident that some parts of the circle representing B lie inside the circle representing W while some lie outside. Thus,
this conclusion does not follow.
So, the only conclusion I follows. Hence, the second option is correct.
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