Question : Directions: Three statements are given, followed by three conclusions numbered I, II, and III. 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:
Some Spoons are Forks.
Some Tongs are Ladles.
All Ladles are Spoons.
Conclusions:
(I) Some Tongs are Spoons.
(II) Some Forks are Ladles.
(III) All Ladles are Fork.
Option 1: Both Conclusions I and II follow
Option 2: Both Conclusions II and III follow
Option 3: Both Conclusions I and III follow
Option 4: Only Conclusion I follows
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 Tongs are Spoons – From the Venn diagram, it is evident that the circles representing tongs and spoons overlap and have some parts of their area in common. So, from this, it can be concluded that some tongs are spoons. Thus, this conclusion follows.
Conclusion
II:
Some Forks are Ladles – From the Venn diagram, it is evident that there is no direct relation between forks and ladles. So, no definite relation can be drawn. Thus, this conclusion does not follow.
Conclusion
III:
All Ladles are Fork – From the Venn diagram, it is evident that there is no direct relation between forks and ladles. So, no definite relation can be drawn. Thus, this conclusion does not follow.
So, the only conclusion I follows. Hence, the fourth option is correct.
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