• 1.
      Logical equivalent proposition to the proposition ̴ (p ˅q) is

  • ̴ p ^ ̴ q
  • ̴ p ˅ ̴ q
  • ̴ p → ̴ q
  • ̴ p ↔ ̴ q

  • 2.
      Let p and q be two propositions. Then the inverse of the implication p → q is ?

  • q → p
  • ̴ p → ̴ q
  • q→ p
  • ̴ q → ̴ p

  • 3.
      Let p and q be two propositions, then the contra positive of the implication p → q is.

  • ̴ q → ̴ p
  • ̴ p → ̴ q
  • q → p
  • p ↔ q

  • 4.
      If p and q are two simple propositions, then p → q is false when.

  • P is true and q is true
  • P is false and q is true
  • P is true and q is false
  • Both p and q are false

  • 5.
      If p and q are two simple propositions, then p ↔ ̴ q is true when.

  • P and q both are true
  • Both p and q are false
  • P is false and q is true
  • None of these

  • 6.
      For any three propositions p,q and r the proposition (p ^q) ^ (q ^ r) is true when

  • P,q, r are all false
  • P , q, r are all true
  • P,q are true and r is false
  • P is true and q and r are false

  • 7.
      If p and q are two propositions, then ̴ (p ↔ q) is

  • ̴ p^ ̴ q
  • ̴ p ˅ ̴ q
  • (p ^ ̴ q) ˅ ( ̴ p ^ q )
  • None of these

  • 8.
      P ^ (q ^ r) is logically equivalent to

  • P ˅ (q ^ r )
  • (p ^ q) ^ r
  • (p ˅ q ) ˅ r
  • P→ (q ^ r)

  • 9.
      ̴ ( ̴ p) ↔ p is

  • A tautology
  • A contradiction
  • Neither a contradiction nor a tautology
  • None of these

  • 10.
      Which of the following Is logically equivalent to ̴ ( ̴ p →q) ?

  • p ^ q
  • p ^ ̴ q
  • ̴ p ^ q
  • ̴ p ^ ̴ q

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