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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