Question : Directions: Some statements are followed by some conclusions. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements.
Statements:
Some leaves are apples.
No apple is an egg.
Conclusions:
I. All apples are leaves.
II. Some eggs are leaves.
III. Some leaves are not eggs.
IV. All eggs are leaves.
Option 1: Only III follows
Option 2: None follows
Option 3: Either II or III follows
Option 4: All follow

Question

Question : Directions: In the following question below, some statements are followed by some conclusions. Taking the given statements to be true, even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusions logically follows from the given statements.
Statements:
I. All women are hardworking.
II. All intelligent are advocates.
III. Some intelligent are women.
Conclusions:
I. Some advocates are women.
II. Some hardworking are women.
III. Some women are advocates.
IV. Some hardworking are intelligent.
Option 1: Only conclusions II, III, and IV follow
Option 2: Only conclusions I, II, and III follow
Option 3: Only conclusions I, III, and IV follow
Option 4: All conclusions follow

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Answer 1

Correct Answer: Only III follows

Solution : The possible Venn diagram according to the given statements is as follows –

Let's analyse the conclusions –
Conclusion (I): All apples are leaves – From the Venn diagram, it is evident that the circles representing apples and leaves overlap each other and have a part of their areas in common. So, from this, it can be concluded that some apples are leaves. Thus, this conclusion does not follow.
Conclusion (II): Some eggs are leaves – From the Venn diagram, it is evident that there is no direct relation between eggs and leaves. So, no definite relation can be drawn. Thus, this conclusion does not follow.
Conclusion (III): Some leaves are not eggs – From the Venn diagram, it is evident that no apple is an egg and the part of leaves that is overlapped by the circle that represents apple cannot be an egg. So, from this, it can be concluded that some leaves are not eggs. Thus, this conclusion follows.
Conclusion (IV): All eggs are leaves – From the Venn diagram, it is evident that there is no direct relation between eggs and leaves. So, no definite relation can be drawn. Thus, this conclusion does not follow.

So, only conclusion III follows. Hence, the first option is correct.