Q61 / 150 · MHT CET 2019 (02 May Shift 1) · Mathematics

The statement pattern p∧q∧~r∨p∧q∨~p∧q is equivalent to ________

  • A
    r
  • Correct answer
    B
    q
  • C
    p∧q
  • D
    p

Solution

p q r p∧q=A ~r p∧q∨~r=B A∧B ~p ~p∧q=C A∧B∨C
T T T T F T T F F T
T T F T T T T F F T
T F T F F F F F F F
T F F F T T F F F F
F T T F F F F T T T
F T F F T T F T T T
F F T F F F F T F F
F F F F T T F T F F

Hence, the correct answer is option: 'B'.

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