Let 𝑃,𝑄,𝑅 and 𝑆 be the attributes of a relation in a relational schema.…

GATE Β· 2026 Β· CS Β· Set 1 Β· Computer Science & IT

Let 𝑃,𝑄,𝑅 and 𝑆 be the attributes of a relation in a relational schema. Let 𝑋 βŸΆπ‘Œ indicate functional dependency in the context of a relational database, where X,Y βŠ†{𝑃,𝑄,𝑅,𝑆}.

Which of the following options is/are always true?

  1. A.

    If ( {𝑃,𝑄} ⟢{𝑅} and {𝑃} ⟢{𝑅} ), then {𝑄} ⟢{𝑅}

  2. B.

    If {𝑃,𝑄} ⟢{𝑅}, then ( {𝑃} ⟢{𝑅} or {𝑄} ⟢{𝑅} )

  3. C.

    If ( {𝑃} ⟢{𝑅} and {𝑄} ⟢{𝑆} ), then {𝑃,𝑄} ⟢{𝑅,𝑆}

  4. D.

    If {𝑃} ⟢{𝑅}, then {𝑃,𝑄} ⟢{𝑅}

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