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