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All metals are conductors

Statements:

  1. All metals are conductors.
  2. Copper is a metal.

Conclusions: I. Copper is a conductor. II. All conductors are metals.

Which conclusion follows?

Show the answer and the worked solution

Correct answer: A.

Only I

Worked solution

  1. Copper ⊂ metals ⊂ conductors, so copper is a conductor: I follows.
  2. II reverses statement 1 and is invalid.

Answer: Only I.

The idea

A named individual inside a class inherits everything true of that class. Reversal remains invalid however obvious it may seem.

Shortcut. A named member inherits its class's property, so I is immediate. II is statement 1 read backwards, and an 'all' converts only to 'some' (some conductors are metals), never to 'all' — so every option containing II goes.

Common trap. "Both" — accepting II as a harmless restatement of statement 1; graphite and salt water conduct without being metals, so the reversed 'all' fails.

All metals are conductors — Syllogisms Aptitude Question

All metals are conductors: Statements: All metals are conductors. Copper is a metal. Conclusions: I. Answer and worked solution on CodeKairo.

Question

Statements:

  1. All metals are conductors.
  2. Copper is a metal.

Conclusions: I. Copper is a conductor. II. All conductors are metals.

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. Copper ⊂ metals ⊂ conductors, so copper is a conductor: I follows.
  2. II reverses statement 1 and is invalid.

Answer: Only I.

The idea

A named individual inside a class inherits everything true of that class. Reversal remains invalid however obvious it may seem.

Shortcut. A named member inherits its class's property, so I is immediate. II is statement 1 read backwards, and an 'all' converts only to 'some' (some conductors are metals), never to 'all' — so every option containing II goes.

Common trap. "Both" — accepting II as a harmless restatement of statement 1; graphite and salt water conduct without being metals, so the reversed 'all' fails.

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