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
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
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