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Some doctors are writers

Statements:

  1. Some doctors are writers.
  2. All writers are educated.

Conclusions: I. Some doctors are educated. II. All doctors are educated.

Which conclusion follows?

Show the answer and the worked solution

Correct answer: A.

Only I

Worked solution

  1. Some doctors are writers, and all writers are educated, so those doctors are educated: I follows.
  2. The other doctors may or may not be educated, so II does not follow.

Answer: Only I.

The idea

A 'some' premise can only produce a 'some' conclusion. Upgrading it to 'all' is never valid.

Shortcut. Draw it: doctors partly overlap writers, and writers sit inside educated. The overlap is educated (I), but the other doctors can lie outside educated, breaking II.

Common trap. "Both" — upgrading 'some doctors are educated' to 'all'; only the doctors who are writers are known to be educated.

Some doctors are writers — Syllogisms Aptitude Question

Some doctors are writers: Statements: Some doctors are writers. All writers are educated. Conclusions: I. Answer and worked solution on CodeKairo.

Question

Statements:

  1. Some doctors are writers.
  2. All writers are educated.

Conclusions: I. Some doctors are educated. II. All doctors are educated.

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. Some doctors are writers, and all writers are educated, so those doctors are educated: I follows.
  2. The other doctors may or may not be educated, so II does not follow.

Answer: Only I.

The idea

A 'some' premise can only produce a 'some' conclusion. Upgrading it to 'all' is never valid.

Shortcut. Draw it: doctors partly overlap writers, and writers sit inside educated. The overlap is educated (I), but the other doctors can lie outside educated, breaking II.

Common trap. "Both" — upgrading 'some doctors are educated' to 'all'; only the doctors who are writers are known to be educated.

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