Question : Directions: Two statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
All queens are kings.
Some kings are aces.
Conclusions:
I. Some kings are queens.
II. All queens are aces.
Option 1: Only conclusion II follows
Option 2: Neither conclusion I nor II follows
Option 3: Only conclusion I follows
Option 4: Both conclusions I and II follow
Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram according to the given statement is as follows –
Let's analyse the conclusions –
Conclusion I:
Some kings are queens – From the Venn diagram, it is evident that some parts of the circle representing kings lie inside the circle representing queens while some lie outside. So, from this, it can be concluded that some kings are queens. Thus, this conclusion does not follow.
Conclusion II:
All queens are aces – From the Venn diagram, it is evident that there is no direct relation between queens and aces. So, no definite relation can be drawn. Thus, this conclusion does not follow.
So, the only conclusion I follows. Hence, the third option is correct.
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