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. All D are E.
II. Some E are F.
Conclusions:
I. All D are F.
II. Some F is E.
III. All E is D.
Option 1: Only conclusion III follows
Option 2: Only conclusion II follows
Option 3: All conclusion follows
Option 4: Only conclusion I follows
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Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Conclusion I:
All D are F – From the above diagram, there is no direct relation between D and F. So, this conclusion doesn't follow.
Conclusion II:
Some F is E – From the above diagram, some E is F, and it also follows vice versa. So, this conclusion follows.
Conclusion III:
All E is D – According to the given statements, the circle of D is completely inside the circle of E. Therefore, all D are E and some E are D. So, this conclusion doesn't follow.
Therefore, only conclusion II follows according to the given statements. Hence, the second option is correct.
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