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 Q is M.
II. All O is M.
Conclusions:
I. Some O is not Q.
II. All M is Q.
Option 1: Both conclusions I and II follow
Option 2: Only conclusion II follows
Option 3: Only conclusion I follows
Option 4: Neither conclusion follows
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Correct Answer: Neither conclusion follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some O is not Q – From the diagram, it is evident that there is no direct relation between O and Q. So, this conclusion does not follow.
Conclusion (II):
All M are Q – From the Venn diagram, it is evident that some parts of the circles representing M lie outside the circle representing Q. So, it can be concluded that some M is Q.
So, neither conclusion follows. Hence, the fourth option is correct.
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