Question : Directions: In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows the given statements.
Statements:
I. Some S are C.
II. Some C are D.
Conclusions:
I. All D is S.
II. Some C are S.
III. Some D are C.
Option 1: Both conclusions I and II follow
Option 2: Both conclusions II and III follow
Option 3: Both conclusions I and III follow
Option 4: All conclusion follows
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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:
All D is S – From the Venn diagram, it is evident, that there is no direct relation between D and S. So, this conclusion does not follow.
Conclusion II:
Some C are S – From the Venn diagram, we can see that the two circles representing C and S intersect each other and have a part of their area in common. So, this conclusion follows.
Conclusion III:
Some D are C – From the Venn diagram, we can see that the two circles representing D and C intersect and have a part of their area in common. So, this conclusion follows.
So, the only conclusions II and III follow. Hence, the second option is correct.
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