JEE Questions for Maths Mathematical Logic And Boolean Algebra Quiz 6 - MCQExams.com

Negation of the compound proposition: If the examination is difficult, then I shall pass if I study hard
  • The examination is difficult and I study hard and I shall pass
  • The examination is difficult and I study hard but I shall not pass
  • The examination is not difficult and I study hard and I shall pass
  • None of these
If p and q are 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
If p and q are simple propositions, then p ⇔~ q is truewhen
  • p is true and q is true
  • Both p and q are false
  • p is false and q is true
  • None of these
The proposition p ⇒~ (p ˄~q) is
  • Contradiction
  • A tautology
  • Either (a) or (b)
  • Neither (a) nor (b)

Maths-Mathematical Logic and Boolean Algebra-38192.png

  • Maths-Mathematical Logic and Boolean Algebra-38193.png
  • 2)
    Maths-Mathematical Logic and Boolean Algebra-38194.png

  • Maths-Mathematical Logic and Boolean Algebra-38195.png
  • None of these
The negation of the proposition \ If 2 is prime, then 3 isodd\ is
  • If 2 is not prime then 3 is not odd
  • 2 is prime and 3 is not odd
  • 2 is not prime and 3 is odd
  • If 2 is not prime then 3 is odd

Maths-Mathematical Logic and Boolean Algebra-38202.png
  • a
  • b
  • 1
  • a'
In a Boolean algebra B with respect to \'+\' and \'⋅^\',x^\' denotes the negation of x∈B. Then

  • Maths-Mathematical Logic and Boolean Algebra-38204.png
  • 2)
    Maths-Mathematical Logic and Boolean Algebra-38205.png

  • Maths-Mathematical Logic and Boolean Algebra-38206.png

  • Maths-Mathematical Logic and Boolean Algebra-38207.png
0:0:1


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