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:
No A is D.
All D is E.
Conclusions:
I. No D is A.
II. Some E is D.
Option 1: Neither conclusion follows
Option 2: Both conclusions I and II follow
Option 3: Only conclusion II follows
Option 4: Only conclusion I follows
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Correct Answer: Both conclusions I and II follow
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
No D is A
– From the Venn diagram, it is evident that there is a negative relation between D and A. So, it can be concluded that no D is A.
Conclusion (II):
Some E is D
– From the Venn diagram, it is evident that some parts of the circle representing E lie outside the circle representing D while some lie inside. So, it can be concluded that some E is D.
So, both conclusions follow. Hence, the second option is correct.
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