Three statements are given followed by three conclusions numbered I, II, and III. 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 tests are exams.
Some exams are viva.
All viva are theories.
Conclusions:
I. Some theories are exams.
II. Some theories are viva.
III. Some tests are viva.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. Only conclusions I and II follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some theories are exams → True (As some exams are viva, and all viva are theories, so, some theories are exams is also true.)
II. Some theories are viva → True (As all viva are theories, so, some theories are viva is also true.)
III. Some tests are viva → False (It is possible, but no definite conclusion can be drawn.)