Question : Directions: Two statements are given, followed by two conclusions numbered I and II. 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 apples are bananas.
Some mangoes are apples.
Conclusions:
(I) Some mangoes are bananas.
(II) Some bananas are apples.
Option 1: Either conclusion I or II follow
Option 2: Neither conclusion I nor II follow
Option 3: Only conclusion II follows
Option 4: Only conclusion I follows
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Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some mangoes are bananas – From the given Venn diagram, there is no definite relation between mango and banana or no overlapping between them. Therefore, this conclusion is false.
Conclusion (II):
Some bananas are apples – From the given Venn diagram, the circle of bananas intersects with the circle of apples and has a common area between them. Therefore, this conclusion is true.
So, only conclusion II follows. Hence, the third option is correct.
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