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 S are E
II. Some S are H
Conclusion:
I. Some E are not S
II. Some H are S
Option 1: Only conclusion I follows
Option 2: Neither conclusion follows
Option 3: Only conclusion II follows
Option 4: Both conclusions I and II follows
Correct Answer: Only conclusion II follows
Solution : According to the given statements the venn diagram is given below –
Let's analyse the conclusions –
Conclusion (I):
Some E are not S – From the above diagram, it is shown that all S are E or some E are S but it's not mentioned that some E are not S and we can't follow a negative conclusion from the positive statement. So, this conclusion doesn't follow.
Conclusion (II):
Some H are S – From the above diagram, it is shown that circles of S and H overlap which means H and S are part of each other. So, this conclusion follows.
So, the only conclusion II follows. Hence, the third option is correct.
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