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 F are D.
II. No A is D.
Conclusion:
I. Some F are A.
II. No D is A.
III. Some F are not A.
Option 1: Neither conclusion follows
Option 2: Both conclusions II and III follow
Option 3: Only conclusion I follows
Option 4: Only conclusion III follows
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Correct Answer: Both conclusions II and III follow
Solution : The possible Venn diagram according to the statements given in the question –
Let's check the conclusions –
Conclusion I:
Some F are A – According to the Venn diagram, there is no definite relation between F and A. Therefore, this conclusion does not follow.
Conclusion II:
No D is A – According to the Venn diagram, no A is D therefore no D is A is also true. Therefore, this conclusion follows.
Conclusion III:
Some F is not A – According to the Venn diagram, some F are D and no A is D, therefore the F that is D can never be A. Therefore, this conclusion follows.
So, from the above, only conclusions II and III follow. Hence, the second option is correct.
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