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MHT CET202015 Oct 2020Evening ShiftMathematicsMathematical ReasoningActual

Amongs the given statements below ___________ is a tautology

Options

  1. Ap ( p q)
  2. Bq ( p q)
  3. C( p q) (p q)
  4. D( p q) (p q)

Correct answer

D. ( p q) (p q)

Step-by-step solution

array |c|c|c|c|c|c|c|c|c|c| p & q & p & q & p q & (3) (5) & (4) (5) & p q & (5) (8) & (5) (8) 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 T & T & F & F & F & F & F & T & F & T T & F & F & T & T & T & T & T & T & T F & T & T & F & T & T & F & F & F & T F & F & T & T & T & T & T & T & T & T & & & & ( a ) & ( b ) & & ( c ) & ( d ) array All entries in column 10 are T. Hence statement(d) is a tautology.

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