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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


Team Careers360 23rd Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

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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