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 conclusions logically follow the given statements.
Statements:
I. Some T are M.
II. No T is Y.
Conclusions:
I. Some M is not Y.
II. Some M are T.
III. All M are Y.
Option 1: Both conclusions II and III follow
Option 2: Neither conclusion follows
Option 3: Both conclusions I and II follow
Option 4: Both conclusions I and III follow
Correct Answer: Both conclusions I and II follow
Solution : The possible Venn diagram according to the given statement is as follows –
Let's analyse the conclusions –
Conclusion I:
Some M is not Y – Since no T is Y and some M is T. Thus, M that is T can never be Y. Thus, it can be concluded that some M is not Y.
Conclusion II:
Some M are T – From the Venn diagram, it is evident that the circles representing M and T overlap and have some parts of their area in common. Thus, it can be concluded that some M are T.
Conclusion III:
All M are Y – Since no T is Y and some M is T. Thus, all M can never be Y. So, this conclusion does not follow.
So, both conclusions I and II follow. Hence, the third option is correct.
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