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Some chairs are tables

Statements:

  1. Some chairs are tables.
  2. All tables are wooden.

Conclusions: I. Some chairs are wooden. II. All wooden things are tables.

Which conclusion follows?

Show the answer and the worked solution

Correct answer: A.

Only I

Worked solution

  1. Some chairs are tables and all tables are wooden, so those chairs are wooden: I follows.
  2. II reverses statement 2 and does not follow.

Answer: Only I.

The idea

'Some A are B' plus 'all B are C' always yields 'some A are C'. Nothing stronger and nothing reversed.

Shortcut. Some + all, with the shared term (tables) ending the first premise and starting the second, always yields 'some' between the outer terms: some chairs are wooden. II swaps the terms of an 'all', which is never allowed.

Common trap. "Both" — reading II as statement 2 said another way; 'all tables are wooden' leaves room for wooden doors and chairs that are not tables.

Some chairs are tables — Syllogisms Aptitude Question

Some chairs are tables: Statements: Some chairs are tables. All tables are wooden. Conclusions: I. Answer and worked solution on CodeKairo.

Question

Statements:

  1. Some chairs are tables.
  2. All tables are wooden.

Conclusions: I. Some chairs are wooden. II. All wooden things are tables.

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 chairs are tables and all tables are wooden, so those chairs are wooden: I follows.
  2. II reverses statement 2 and does not follow.

Answer: Only I.

The idea

'Some A are B' plus 'all B are C' always yields 'some A are C'. Nothing stronger and nothing reversed.

Shortcut. Some + all, with the shared term (tables) ending the first premise and starting the second, always yields 'some' between the outer terms: some chairs are wooden. II swaps the terms of an 'all', which is never allowed.

Common trap. "Both" — reading II as statement 2 said another way; 'all tables are wooden' leaves room for wooden doors and chairs that are not tables.

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