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:
No businessman is farmer.
Some officers are businessman.
All mechanics are officers.
Conclusions:
I. No mechanic is farmer.
II. Some businessmen are farmers.
III. Some mechanics are not officers.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. None of the conclusions follow.
The least possible venn diagram is:
Conclusions:
I. No mechanic is farmer. → Does not follow (It is possible but not definite)
II. Some businessmen are farmers. → Does not follow (As no businessman is farmer. So, it is definitely false)
III. Some mechanics are not officers.→ Does not follow (As all mechanics are officers. So, some mechanics are not officers is definitely false)