Question : Directions: In this question, three 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 follows/follow from the statements Statements: I. No dean is a teacher. II. All teachers are professors. III. No professor is a lecturer. Conclusions: I. Some deans are lecturers. II. Some teachers are lecturers.
Option 1: Only conclusion II follows
Option 2: Only conclusion I follows
Option 3: Both conclusions I and II follow
Option 4: Neither conclusion I nor II follows
Correct Answer: Neither conclusion I nor II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyze the conclusions – Conclusion I: Some deans are lecturers – From the Venn diagram, it is evident that there is no definite relation between deans and lecturers. Thus, this conclusion does not follow. Conclusion II: Some teachers are lecturers – Since no professor is a lecturer and all teachers are professors, so some teachers can never be lecturers. Thus, this conclusion does not follow.
So, neither conclusion I nor II follows. 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. 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: 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
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 shells are pebbles. All pebbles are rocks. Conclusions: I. No shell is a rock. II. Some shells are rocks.
Option 1: 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 dogs are cats. No cat is a rat. Conclusions: I. Some rats are cats. II. Some dogs are rats.
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