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.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. Both Conclusions I and II follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
(I) Some Suitcases are Luggage → True (As all backpacks are suitcases and some backpacks are luggage, so some suitcases are also luggage)
(II) Some Backpacks are Trolley → True (As all suitcases are trolley, and all backpacks are suitcases, so some backpacks are also trolley, this is true)
(III) All Trolleys are Luggage → False (It is possible but not definite as there is no direct relation between trolley and luggage)
Hence, both conclusions I and II follow is the correct answer.