Question : Directions: Three statements are given followed by three conclusions numbered I, II, and III. 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:
All D is V.
Some S is D.
No W is S.
Conclusions:
I. Some W is not D.
II. Some V is S.
III. Some D is S.
Option 1: Only Conclusion III follows
Option 2: Conclusions I, II, and III follow
Option 3: Both Conclusions II and III follow
Option 4: Only Conclusion I follows
Correct Answer: Both Conclusions II and III follow
Solution : The possible Venn diagram, according to the given statements is as follows
Let's analyse the conclusions –
Conclusion (I):
Some W is not D – It is a possibility that the circle representing W is completely overlapped by the circle that represents D. But, this is not definite. So, this conclusion does not follow.
Conclusion (II):
Some V is S – From the Venn diagram, it is evident that the two circles representing V and S overlap and have a part of their area in common. So, it can be concluded that some V is S.
Conclusion (III):
Some D is S – From the Venn diagram, it is evident that the two circles representing D and S overlap and have a part of their area in common. So, it can be concluded that some D is S.
So, both conclusions II and III follow. Hence, the third option is correct.
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