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MHT CET202313 May 2023Morning ShiftMathematicsMathematical ReasoningActual

The expression (p q) q ( p q) is equivalent to

Options

  1. Ap q
  2. Bp q
  3. Cp q
  4. Dp q

Correct answer

C. p q

Step-by-step solution

aligned & (p q) q ( p q) & [(p q) ( q q)] ( p q) aligned ...[Distributive law] aligned & [(p q) T] ( p q) [ Complement law] & (p q) ( p q) & (p q p) (p q q) aligned ...[Distributive law] (T q) (p q) ...[Complement law and Idempotent law] aligned & T (p q) & p q aligned [Identity law] ...[Identity law]

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