Question : Directions: Three statements are given, followed by three conclusions numbered I, II, and III. 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 backpacks are suitcases. All suitcases are trolleys. Some backpacks are luggage. Conclusions: (I) Some suitcases are luggage. (II) Some backpacks are trolleys. (III) All trolleys are luggage.
Option 1: Both Conclusions I and II follow
Option 2: Only Conclusion I follows
Option 3: Both Conclusions II and III follow
Option 4: Both Conclusions I and III follow
Correct Answer: Both Conclusions I and II follow
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some suitcases are luggage – From the Venn diagram, it is evident that the two circles representing suitcases and luggage overlap and have a part of their area in common. So, it can be concluded that some suitcases are luggage. Thus, this conclusion follows. Conclusion (II): Some backpacks are trolleys – From the Venn diagram, it is evident that the circle representing backpacks is completely overlapped by the circles representing trolleys. Since all backpacks are trolleys, some backpacks will definitely be trolleys. Thus, this conclusion follows. Conclusion (III): All trolleys are luggage – From the Venn diagram, it is evident that the two circles representing trolleys and luggage overlap and have a part of their area in common. So, it can be concluded that some trolleys are luggage. Thus, this conclusion does not follow.
So, both conclusions I and II follow. Hence, the first option is correct.
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Question : Directions: Three statements are given, followed by three conclusions numbered I, II, and III. 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. All covers are red. II. All red are magazines. III. Some magazines are books. Conclusions: I. Some books are red. II. Some magazines are covers. III. No cover is a book.
Option 1: Both conclusions I and II follow
Option 2: Both conclusions II and III follow
Option 3: Only conclusion II follow
Option 4: Only conclusion I follow
Question : Directions: Two statements are given followed by three conclusions numbered I, II, and III. 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 drums are bells. All whistles are bells. Conclusions: I. Some drums are whistles. II. Some bells are drums. III. Some bells are whistles.
Option 1: Both conclusions II and III follow
Option 2: Conclusions I, II and III follow
Option 3: Both conclusions I and II follow
Option 4: Both conclusions I and III follow
Question : Directions: Two statements are given followed by three conclusions numbered I, II, and III. 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 bags are pens All pencils are pens Conclusions: I. Some pens are bags II. All bags are pencils III. Some pens are pencils
Question : Directions: Three statements are given, followed by three conclusions numbered I, II, and III. 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 Spoons are Forks. Some Tongs are Ladles. All Ladles are Spoons. Conclusions: (I) Some Tongs are Spoons. (II) Some Forks are Ladles. (III) All Ladles are Fork.
Option 2: Both Conclusions II and III follow
Option 3: Both Conclusions I and III follow
Option 4: Only Conclusion I follows
Question : Directions: Three statements are given, followed by three conclusions numbered I, II, and III. 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 Sofas are Chair. Some Chairs are Tables. All Tables are Beds. Conclusions: (I) Some Sofas are Tables. (II) Some Chairs are Beds. (III) Some Beds are Sofas.
Option 1: Both Conclusions II and III follow
Option 4: Only Conclusion II follows
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