Question : Directions: In the following question, two statements are given followed by two or four conclusions, I, II, III, and IV. You have to consider the statements to be true, even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions can be drawn from the given statements. Indicate your answer.
Statements:
All apples are oranges.
Some oranges are papayas.
Conclusions:
I. Some apples are papayas.
II. Some papayas are apples.
Option 1: Only conclusion II follows
Option 2: Both I and II follow
Option 3: Neither I nor II follows
Option 4: Only conclusion I follows
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Correct Answer: Neither I nor II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion I:
Some apples are papayas – From the Venn diagram, it is evident that there is no direct relation between apples and papayas. So, no definite relation can be drawn. Therefore, this conclusion does not follow.
Conclusion II:
Some papayas are apples – From the Venn diagram, it is evident that there is no direct relation between apples and papayas. So, no definite relation can be drawn. Therefore, this conclusion does not follow.
Therefore, neither I nor II follows. Hence, the third option is correct.
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