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JEE Questions for Maths Mathematical Logic And Boolean Algebra Quiz 6 - MCQExams.com
JEE
Maths
Mathematical Logic And Boolean Algebra
Quiz 6
Negation of the compound proposition: If the examination is difficult, then I shall pass if I study hard
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The examination is difficult and I study hard and I shall pass
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The examination is difficult and I study hard but I shall not pass
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The examination is not difficult and I study hard and I shall pass
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None of these
If p and q are simple propositions, then p⇒ q is false when
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p is true and q is true
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p is false and q is true
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p is true and q is false
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Both p and q are false
If p and q are simple propositions, then p ⇔~ q is truewhen
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p is true and q is true
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Both p and q are false
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p is false and q is true
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None of these
The proposition p ⇒~ (p ˄~q) is
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Contradiction
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A tautology
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Either (a) or (b)
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Neither (a) nor (b)
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2)
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None of these
The negation of the proposition \ If 2 is prime, then 3 isodd\ is
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If 2 is not prime then 3 is not odd
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2 is prime and 3 is not odd
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2 is not prime and 3 is odd
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If 2 is not prime then 3 is odd
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a
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b
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1
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a'
In a Boolean algebra B with respect to \'+\' and \'⋅^\',x^\' denotes the negation of x∈B. Then
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2)
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Explanation
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