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: Some apples are oranges. All oranges are fruits. Conclusions: (I) All apples are fruits. (II) Some fruits are oranges.
Option 1: Neither Conclusion I nor II follows
Option 2: Only conclusion II follows
Option 3: Both conclusions I and II follow
Option 4: Only conclusion I follows
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): All apples are fruits – From the Venn diagram, it is evident that the circles representing apples and fruits intersect and have some parts of their area in common. Thus, this conclusion does not follow. Conclusion (II): Some fruits are oranges – From the Venn diagram, it is evident that some parts of the circle representing fruits lie inside the circle representing oranges while some lie outside. Thus, it can be concluded that some fruits are oranges.
So, only conclusion II follows. Hence, the second option is correct.
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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: Some rivers are oceans. All oceans are beaches. Conclusions: I. Some rivers are beaches. II. All oceans are rivers.
Option 1: Only conclusion II follows
Option 2: Both conclusions I and II follow
Option 3: Neither conclusion I nor II follows
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: Some movies are dramas. Some dramas are fiction. Conclusions: I. Some movies are fiction. II. All fiction is movies.
Option 1: Only conclusion I follows
Option 4: Both conclusions I and II follow
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: All flowers are trees. All leaves are flowers. Conclusions: I. All trees are flowers. II. All leaves are trees.
Option 1: Only Conclusion I follows
Option 2: Neither Conclusion I nor II follows
Option 3: Only Conclusion II follows
Option 4: Both Conclusions I and II follow
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: All teas are juices. All juices are cocktails. Conclusions: I. All teas are cocktails. II. All cocktails are definitely juices.
Option 1: Both conclusions I and II follow
Option 3: Only conclusion I follows
Option 4: Neither conclusion I nor II follows
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: All bowls are spoons. All spoons are plates. Conclusions: I. Some plates are bowls. II. Some plates are spoons.
Option 1: Neither conclusion I nor II follows
Option 3: Only conclusion II follows
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