In each questions below are two/three statements followed by two conclusions numbered I and II. You have to take the two/three given statements to be true even if they seem to be at variance from commonly known facts and then decide which one of the given conclusions logically follows from the given statements disregarding commonly known facts.
Some teachers are professors.
Some lecturers are teachers.
Conclusions: I. All teachers as well as all professors being lecturers is a possibility.
II. All those teachers who are lecturers are also professors.
The Venn diagram that satisfies the statements and best explains the conclusions is as follows:
In the figure on the right, all the statements are satisfied and teachers and professors are subsets of lecturers. So, conclusion I is implied.
To contradict conclusion II, we draw the diagram on the left. All those teachers who are lecturers are not necessarily professors. Hence the answer is (a)
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