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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.
Statement :
All backpacks are suitcase.
All suitcases are trolley.
Some Backpacks are Luggage.
Conclusions:
(I) Some Suitcases are Luggage.
(II) Some Backpacks are Trolley.
(III) All Trolleys are Luggage.
  • a)
    Both Conclusions I and II follow.
  • b)
    Only Conclusion I follows.
  • c)
    Both Conclusions II and III follow.
  • d)
    Both Conclusions I and III follow.
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Three statements are given, followed by three conclusions numbered I, ...
Given:
Statements:
All backpacks are suitcase.
All suitcases are trolley.
Some Backpacks are Luggage
Venn Diagram:
Conclusions:
(I) Some Suitcases are Luggage. → True (All backpacks are suitcase and some backpacks are luggage.)
(II) Some Backpacks are Trolley. → True (All backpacks are suitcase and all suitcase are trolley.)
(III) All Trolleys are Luggage. → False (Some luggage are trolleys.)
Hence, the correct answer is "Both conclusion I and II follows."
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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.Statement :All backpacks are suitcase.All suitcases are trolley.Some Backpacks are Luggage.Conclusions:(I) Some Suitcases are Luggage.(II) Some Backpacks are Trolley.(III) All Trolleys are Luggage.a)Both Conclusions I and II follow.b)Only Conclusion I follows.c)Both Conclusions II and III follow.d)Both Conclusions I and III follow.Correct answer is option 'A'. Can you explain this answer?
Question Description
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