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:
I. No duck is a doll.
II. All eggs are dolls.
Conclusions:
I. No duck is an egg.
II. Some dolls are eggs.
Option 1: Only conclusion II follows
Option 2: Neither conclusion I nor II follows
Option 3: Both conclusions follow
Option 4: Only conclusion I follows
Correct Answer: Both conclusions follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
No duck is an egg –
Since all eggs are dolls and no doll is a duck. Thus, it can be concluded that no duck is an egg.
Conclusion (II):
Some dolls are eggs –
From the Venn diagram, it is evident that some parts of the circle representing dolls lie inside the circle representing eggs while some lie outside. Thus, it can be concluded that some dolls are eggs.
So, both conclusions I and II follow. Hence, the third option is correct.
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