Testing a converse — Syllogisms Aptitude Question
Testing a converse: Statement: All lawyers are graduates. Conclusions: I. Some graduates are lawyers. II. Answer and worked solution on CodeKairo.
- Topic: Syllogisms
- Section: Logical Reasoning
- Difficulty: Easy
- Time target: 60 seconds
Question
Statement: All lawyers are graduates.
Conclusions: I. Some graduates are lawyers. II. All graduates are lawyers.
Which conclusion follows?
Options
- Only I
- Only II
- Both
- Neither
Show the answer and the worked solution
Correct answer: A. Only I
Worked solution
- Lawyers exist and every one is a graduate, so some graduates are lawyers: I follows.
- II reverses the statement completely and does not follow.
Answer: Only I.
The idea
'All A are B' supports 'some B are A' but never 'all B are A'. That partial converse is valid and frequently tested.
Shortcut. 'All A are B' converts only to 'Some B are A': I is that limited converse and II the full reversal.
Common trap. "Neither" — rejecting I as a reversed 'all' statement; the partial converse 'some graduates are lawyers' is valid because lawyers exist.