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:
I. Some octopuses are fish.
II. Some fish are frogs.
Conclusions:
I. Some frogs are fish.
II. Some fish are octopuses.
Option 1: The only conclusion I follows
Option 2: Either conclusion I or II follows
Option 3: Only conclusion II follows
Option 4: Both conclusions follow
Correct Answer: Both conclusions follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some frogs are fish – From the given Venn diagram, and the statements, some fish are frogs. Therefore, some frogs are fish is also true.
Conclusion (II):
Some fish are octopuses – From the given Venn diagram, and the statement it is given that some octopuses are fish. Therefore, some fish are octopuses is also true.
So, both conclusions follow. Hence, the fourth option is correct.
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