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
Correct Answer: Both conclusions I and II follow
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some doctors are cardiologists – From the Venn diagram, it is evident that some parts of the circle representing doctors lie inside the circle representing cardiologists while some lie outside. Thus, it can be concluded that some doctors are cardiologists. Conclusion (II): Some doctors are neurologists – From the Venn diagram, it is evident that the circles representing doctors and neurologists intersect and have some parts of their area in common. Thus, it can be concluded that some doctors are neurologists.
So, both conclusions I and II follow. Hence, the first 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. 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
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 farmers are doctors. All doctors are magicians. Conclusions: I. All farmers are magicians. II. No farmer is a magician.
Option 1: Only conclusion II follows
Option 2: Both conclusions follow
Option 4: Either conclusion I or 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: 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
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