Which of the following is true?
Which of the following is logically equivalent to ~ ( ~ p q ) ?
If p is true and q is false, then which of the following statements is NOT true?
The proposition p ∼ ( p ∧ ~ q ) is
Let p , q , r be three mathematical statements. The statement ( ~ p q ) r is equivalent to
Let p and q be two statements. Negation of statement ( p ↔∼ q ) is
Negation of ‘Paris is in France and London is in England’ is
Which of the following is not a proposition?
If the statements ( p ∧ ~ r ) ( q ∨ r ) , q and r are all false, then p
~ ( p ∨ ( ~ p ∨ q ) ) is equal to
If each of the statements p ∼ q , ~ r q and p are true, then which of the following is NOT true?
The logical statement ( p ⇒ q ) ∧ ( q ⇒∼ p ) is equivalent to
Which of the following is true?
Which of the following is always true?
The negation of the compound statement ( p ∨ q ) ∧ r is
Which of the following is wrong statement?
Which of the following statement is a contradiction?
The only statement among the following that is a tautology is
Logical equivalent of p ( p ∨ q ) is
The conditional statement p ∧ q ⇒ p is
Which of the following is false?
The converse of the statement p ⇒ q is
If each of the following statements is true, then p ⇒∼ q , ~ r ⇒ q , p
If each of the following statements is true, then p ⇒∼ q , ~ r ⇒ q , p
Consider the statement p: ‘New Delhi is a city’. Which of the following is not negation of p?
If p, q and r are simple propositions such that ( p ∧ q ) ∧ ( q ∧ r ) is true, then
The negation of q ∨ ~ ( p ∧ r ) is
lf p ( q ∨ r ) is false, then the truth values of p, q and r are, respectively,
Which of the following is logically equivalent to ~ ( ~ p q ) ?
If p ( ~ p ∨ q ) is false, the truth values of p and q are, respectively,
The conditional statement ( p ∧ q ) p is
Which of the following is true?
If ( p ∧ ~ r ) ( ~ p ∨ q ) is false, then truth values of p, q and r are, respectively,
The contrapositive of inverse of p ∼ q is
The statement ( ~ p ∧ q ) ∨ ~ q is
If p, q and r are simple propositions, then ( p ∧ q ) ∧ ( q ∧ r ) is true, then
Statement ( p ∧ ~ q ) ∧ ( ~ p ∨ q ) is
Statement ( p ∧ ~ q ) ∧ ( ~ p ∨ q ) is
Which of the following statement is a contradiction?
Let p and q be two propositions given by p : The sky is blue, q : milk is white.Then, p ∧ q is
The negation of A ( A ∨ ~ B ) is
Which of the following is a statement ?
The logical statement p ⇒ q ∧ q ⇒ ~ p is equivalent to:
Which one of the following is a tautology?
Negation of the statement: ‘ 5 is an integer or 5 is an irrational’ is
If p ⇒ ( q ∨ r ) is false, then the truth values of p , q , r respectively
Which of the following is a contradiction?
The Boolean Expression ( p ∧ ~ q ) ∨ q ∨ ( ~ p ∧ q ) is equivalent to
The negation of the statement “If I become a teacher, then I will open a school”, is :
~ r ⇒ ( ~ p ) ∧ ( ~ q ) is equivalent to
Which of the following is not a statement?
The inverse of the proposition ( p ∧ ~ q ) r is
Which of the following is the inverse of the proposition ‘If a number is a prime then it is odd’?
If p : Ashok works hard q : Ashok gets good grade The verbal form for ( ~ p q ) is
If p ⇒ ( q ∨ r ) is false, then truth values of p , q , r a r e r e s p e c t i v e l y
The conditional ( p ∧ q ) ⇒ p is
If ( p ∧ ~ q ) ∧ ( ~ q ∧ q ) is
The contrapositive of ( p ∧ q ) r is
Which of the following is true?
T h e t r u t h t a b l e o f ( p ∧ q ) ∼ P
Consider the statement p: ‘New Delhi is a city’. which of the following is not negation of p?
If p is any statement, then which of the following is a tautology?
If both p and q are true, then
Contrapositive of the statement p ⇒ q is
Which of the following is logically equivalent to ~ ( ~ p ⇒ q ) ?
Which of the following is true for any two statements p and q?
If ( p ∧ ~ r ) ( ~ p ∨ q ) is false, then the truth values of p , q and r , respectively
If p ⇒ ( q ∨ r ) is false, then the truth values of p , q , r are respectively
The logically equivalent proposition of p ⇔ q is
The contrapositive of the inverse of p ⇒∼ q is
Which of the Venn diagrams represents the truth of the statement ‘No policeman is a thief’
If p : Ram is tall q : Ram is intelligent then the symbolic statement ~ p ∨ q means
Which of the following is logically equivalent to ~ ( ~ p ⇒ q ) ?
The negation of the compound proposition p ∨ ( ~ p ∨ q ) i s
If p and q are two statements, then ( p ⇒ q ) ⇔ ( ~ q ⇒∼ p ) i s a
The proposition ( p ⇒∼ p ) ∧ ( p ⇒ p ) is a
The contra positive of the statement “If it does not rain, then I go to school” is:
The statement ( ~ ( p ∨ q ) ) ∨ ( ~ p ∧ q ) is logically equivalent to
The negation of the statement “ If I become a teacher then I will open a school” is
Which of the following is not a statement?
If p : ‘Ram is tall’ and q : ‘Ram is intelligent’, then the statement ~ p ∧ q is
Which of the following is the inverse of the proposition ‘If a number is a prime then it is odd’?
~ ( ( ~ ( ~ p ) ) ∧ q ) is equal to
( ~ ( p ∨ q ) ) ∨ ( ~ p ∧ q is logically equivalent to
The inverse of the proposition ( p ∧ ~ q ) r is
The contrapositive of ( p ∨ q ) r is
The proposition ( p ∼ p ) ∧ ( ~ p p ) is a
Statement ( p q ) ↔ ( ~ q ∼ p )
Let p and q be two statements, then ~ p q ∧ ( ~ q ) is equivalent to
Let p, q and r be three statements, then ( p q ) r is equivalent to
If p ( p ∧ ~ q ) is false, then the truth values of p and q are respective
The statement ( p ( q p ) ) ( p ( p ∨ q ) ) is
The conditional statement of ‘You will get a sweet dish after the dinner’ is
The negation of the statement, ‘if a quadrilateral is a square, then it is a rhombus’ is
The converse of the statement ‘If sun is not shining, then sky is filled with clouds’ is
Which of the following is the inverse of the proposition ‘If a number is a prime, then it is odd.’
If p ⇒ ( q ∨ r ) is false, then truth values of p,q,r are respectively
Which of the following is true for the statements p and q ?
Let truth values of p be F and q be T. Then, the value of ~ ( ~ p ∨ q ) is
If statements p and r are false and q is true, then truth value of ~ p ⇒ ( q ∧ r ) ∨ r is
If p ⇒ ( q ∨ r ) is false, then the truth values of p, q, r are respectively,
If p ⇒ ( q ∨ r ) is false, then the truth values of p, q and r are respectively.
The logically equivalent proposition of p ⇔ q is
The statement p ⇒ ( q ⇒ p ) is equivalent to
If p and q are simple propositions, then p ⇒∼ q is true when
Which of the following is logically equivalent to ~ ( ~ p ⇒ q ) ?
~ ( p ∨ q ) ∨ ( ~ p ∧ q ) is logically equivalent to
Which of the following is equivalent to ( p ∧ q ) ?
If the compound statement p ( ~ p ∨ q ) is false, then the truth value of p and q are respectively
The statement ( p ⇒ q ) ⇔ ( ~ p ∧ q ) is a
The proposition ~ ( p ⇒ q ) ⇒ ( ~ p ∨ ~ q ) is
The negation of the compound proposition is p ∨ ( ~ p ∨ q )
lf p and q are two statements, then ~ ( p ∧ q ) ∨ ~ ( q ⇔ p ) is
The proposition ( p ⇒∼ p ) ∧ ( ~ p ⇒ p ) is
If p and q are two statements, then ( p ⇒ q ) ⇔ ( ~ q ⇒∼ p ) is
Let p and q be two statements. Then, ( ~ p ∨ q ) ∧ ( ~ p ∧ ~ q ) is
The false statement in the following is
The proposition S : ( p ⇒ q ) ⇔ ( ~ p ∨ q ) is
The propositions ( p ⇒∼ p ) ∧ ( ~ p ⇒ p ) is
The false statement in the following is
Negation of the statement p ( q ∧ r ) is
Negation of the statement ( p ∧ r ) ( r ∨ q ) is
The negation of ( ~ p ∧ q ) ∨ ( p ∧ ~ q ) is
The negation of ( p ∨ q ) ∧ ( p ∨ ~ r ) is
Which of the following is wrong?
If ( q ∧ − r ) ⇒ ( q ∨ r ) is false, then p is
If p,g and r are simple proposition, then ( ~ p ∨ q ) ⇒ r is true, when p, e and r ate, respectively
: If truth value of p is T, q is F, then truth values of p q and q p ∨ ~ p is are respectively
Which of the following is not a statement?
If p , q are two statements, then ~ ( ~ p ∧ q ) ∧ ( p ∧ q ) is logically equivalent to
If p is any logical statement, then:
The statement ( p ∧ q ) ∨ ( ~ p ∨ ( p ∧ ( ~ q ) ) ) is logically equivalent to
The statement ~ ( p ∧ q ) ∨ q :
The statement [ p ∧ ( p q ) ] q , is
Statement-I: ~ ( A ⇔∼ B ) is equivalent to A ⇔ B Statement-2: A ∨ ( ~ ( A ∧ ~ B ) ) is a tautology.
The negation of the statement “If I become teacher, then I will open a school.”
If p is any logical statement, then
Converse of the statement: If a number n is even, then n 2 is even, is
Let p and q be two statements, then q ↔ ( ~ p ∨ ~ q ) is logically equivalent to
Which of the following statement is not equivalent to p ↔ q ?
If p , q are two propositions, then p ∨ p q is
Which of the following is equivalent to p ↔ q ?
Negation of q ∨ ~ ( p ∧ r ) is
The statement ~ ( p ∧ q ) ∨ q :
If p pis any statement, then which of the following is a contradiction?
The statement ( p ∨ ~ q ) ∧ ( ~ p ∨ ~ q ) is logically equivalent to
: Let p and q be two statements, then ~ ( ~ p ∧ q ) ∧ ( p ∨ q ) is logically equivalent to
Let p , q , r be three statements, then ( p ( q r ) ) ↔ ( ( p ∧ q ) r ) , is a
Which of the following is equivalent to p q ∨ r ?
The negation of the following statement P: Neha lives in Ludhiana or she lives in Gurudaspur.
Contrapositive of the statement :If a number is divisible by 9, then it is divisible by 3, is
The only statement among the following that is a tautology is:
Contrapositive of p ( q r ) is logically equivalent to
The statement p ( q p ) is equivalent to
If p ( ~ p ∨ q ) is false, the truth value of p and q are respectively
Negation of the statement “If a number is prime then it odd”, is
The contrapositive of ( p ∨ q ) r is
Converse of the statement : If x 2 is odd then x is odd is
Statement ( p ∨ q ) ( p ∧ q ) is equivalent
