Which one of the following is the most appropriate logical formula to…

GATE · 2009 · CS

Which one of the following is the most appropriate logical formula to represent the statement:

“Gold and silver ornaments are precious”

The following notations are used:

G(x): x is a gold ornament.

S(x): x is a silver ornament.

P(x): x is precious.

  1. A.

    ∀x(P(x)→(G(x)∧S(x)))

  2. B.

    ∀x((G(x)∧S(x))→P(x))

  3. C.

    ∃x((G(x)∧S(x))→P(x))

  4. D.

    ∀x((G(x)∨S(x))→P(x))

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