Question : Directions: In the following question below, some statements are followed by some conclusions. 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 from the given statements.
Statements:
I. All W are T.
II. All M are W.
Conclusions:
I. All M are T.
II. Some T are W.
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
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):
All M are T – From the Venn diagram, it is evident that the circle representing M is completely overlapped by the circle representing T. So, this conclusion follows.
Conclusion (II):
Some T are W – From the Venn diagram, it is evident that some parts of the circle representing T lie inside the circle representing W while some lie outside. So, this conclusion follows.
So, both conclusions I and II follow. Hence, the second option is correct.
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