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 3: Only conclusion I follows
Option 4: Either conclusion I or II follows
Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): All farmers are magicians – From the Venn diagram, the circle of the farmer is completely overlapped by the circle of magicians. Therefore, this conclusion is true. Conclusion (II): No farmer is a magician – From the Venn diagram, the circle of the farmer is completely overlapped by the circle of magicians. So, all farmers are magicians is a true conclusion but there is no negative relation between them. Therefore, this conclusion is not true.
So, the only conclusion I follows. Hence, the third 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: No actor is an engineer. All engineers are magicians. Conclusions: I. No magician is an engineer. II. Some magicians are engineers.
Option 1: Both conclusions follow
Option 2: Either conclusion I or II 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: 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
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 cars are vehicles. All vehicles are trucks. Conclusions: I) All cars are trucks. II) All trucks are vehicles.
Option 1: Neither Conclusion I nor II follows
Option 2: Only Conclusion I follows
Option 3: Only Conclusion II follows
Option 4: 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 cupboards are shelves. All shelves are drawers. Conclusions: I. All cupboards are drawers. II. All drawers are shelves.
Option 1: Neither conclusion I nor II follows
Option 2: Both conclusions I and II follow
Option 3: Only conclusion II follows
Option 4: Only conclusion I 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 flowers are trees. All leaves are flowers. Conclusions: I. All trees are flowers. II. All leaves are trees.
Option 1: Only Conclusion I follows
Option 2: Neither Conclusion I nor II follows
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