Q56 / 150 · MHT CET 2017 · Mathematics

The statement pattern (∽p∧q) is a logically equivalent to

  • A
    ( p∨q )∨∽q
  • Correct answer
    B
    (p∨q)∧∽p
  • C
    ( p∧q )→p
  • D
     (p∨q)→p

Solution

Hence p ∨q∧ ∽p=p ∧ ∽p∨(q∧ ∽p) .......... Distributive law
=F∨q∧ ∽p Complementary law
=q∧ ∽p Identify law
=∽p∧q Commutative law

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

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