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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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) All cardiologists are doctors. II) Some cardiologists are neurologists. Conclusions: I) Some doctors are cardiologists. II) Some doctors are neurologists.
Option 1: Both conclusions I and II follow
Option 2: Neither conclusion I nor II follows
Option 3: Only conclusion I follows
Option 4: Only conclusion II follows
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 windows are houses. Some windows are roofs. Conclusions: I. Some roofs are houses. II. Some roofs are windows.
Option 1: Neither conclusion I nor II follows
Option 2: Only conclusion I follows
Option 3: Both conclusions I and II follow
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: All kids are small. Some funny are kids. Conclusions: I) Some funny are small. II) Some small are kids.
Option 1: Only Conclusion I follows
Option 2: Both Conclusions I and II follow
Option 3: Only Conclusion II follows
Option 4: Neither Conclusion I nor II follows
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 laces are shoes. Some laces are socks. Conclusions: I. All socks are shoes. II. Some socks are laces.
Option 1: Only conclusion I follows
Option 2: Both conclusions I and II follow
Option 3: Neither conclusion I nor II follows
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 cats are rats. All rats are mice. Conclusions: I. Some cats are mice. II. Some mice are cats.
Option 2: Only conclusion II follows
Option 4: Only conclusion I follows
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