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Testing a converse

Statement: All lawyers are graduates.

Conclusions: I. Some graduates are lawyers. II. All graduates are lawyers.

Which conclusion follows?

Show the answer and the worked solution

Correct answer: A.

Only I

Worked solution

  1. Lawyers exist and every one is a graduate, so some graduates are lawyers: I follows.
  2. 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.

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.

Question

Statement: All lawyers are graduates.

Conclusions: I. Some graduates are lawyers. II. All graduates are lawyers.

Which conclusion follows?

Options

  1. Only I
  2. Only II
  3. Both
  4. Neither
Show the answer and the worked solution

Correct answer: A. Only I

Worked solution

  1. Lawyers exist and every one is a graduate, so some graduates are lawyers: I follows.
  2. 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.

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