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The logical equivalent statement of pq is

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Important Questions on Mathematical Logic

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The statement pattern (pq) is logically equivalent to
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The expression ~~pq is logically equivalent to
EASY
The compound statement PQ~PQ equivalent to:
EASY

Let p,q,r be three logical statements. Consider the compound statements
S1:~pq~pr and S2:pqr
Then, which of the following is NOT true?

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The negation of the Boolean expression x~y is equivalent to:
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If the truth value of the Boolean expression ((pq)(qr)(~r))(pq) is false, then the truth values of the statements p, q, r respectively can be:

EASY
If c denotes the contradiction then dual of the compounds statement pqc is
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Which of the following statement pattern is a tautology?
EASY
The negation of the Boolean expression  p(~pq) is equivalent to :
 
EASY
The dual of the statement pattern ~pqt is (where t is a tautology and c is a contradiction)
HARD
The negation of srs is equivalent to
HARD
If the Boolean expression pq~pq is equivalent to pq, where ,,,  then the ordered pair , is
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The Boolean expression pqp~q~p~q is equivalent to
EASY
Which one of the following statements is not a tautology?
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The contrapositive of the statement 'If two numbers are not equal, then their squares are not equal', is
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The Boolean expression (pq)(q~p) is equivalent to :
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The Boolean Expression pq qpq is equivalent to
HARD
The logical statement ~~pqpr~qr is equivalent to