Question : Directions: In the following question two statements are given followed by two conclusions, I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions can be drawn from the given statement. Indicate your answer.
Statements:
Some kings are queens.
All queens are beautiful.
Conclusions:
I. All kings are beautiful.
II. All queens are kings.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Either conclusion I or II follows
Option 4: Neither Conclusion I nor Conclusion II follows
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Correct Answer: Neither Conclusion I nor Conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All kings are beautiful – From the Venn diagram, it is evident that the circles representing kings and beautiful overlap each other and have a part of their area in common. So, from this, it can be concluded that some kings are beautiful. Therefore, this conclusion does not follow.
Conclusion (II):
All queens are kings – From the Venn diagram, it is evident that the circles representing kings and queens overlap each other and have a part of their area in common. So, from this, it can be concluded that some queens are kings. Therefore, this conclusion does not follow.
Therefore, neither of the conclusions follows. Hence, the fourth option is correct.
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