Question : Directions: Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. You have to decide which conclusions logically follow from the given statements.
Statements:
Some Ducks are Chickens.
Some Chickens are Eggs.
All Eggs are Omelettes.
Conclusions:
I. Some Ducks are Eggs.
II. Some Chickens are Omelettes.
Option 1: Both conclusions (I) and (II) follow
Option 2: Only conclusion (I) follows
Option 3: Neither conclusion (I) nor (II) follows
Option 4: Only conclusion (II) follows
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Correct Answer: Only conclusion (II) follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some Ducks are Eggs
– From the Venn diagram, there is no direct relation between ducks and eggs. Thus, no definite relation can be drawn. So, this conclusion does not follow.
Conclusion (II):
Some Chickens are Omelettes
– From the Venn diagram, it is evident that the two circles representing chickens and omelettes overlap and have a part of their area in common. So, this conclusion follows.
So, the only conclusion II follows. Hence, the fourth option is correct.
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