Question 3 :
{tex} \left( ^ { ^\sim } \mathrm { p } \vee ^ { ^\sim } \mathrm { q } \right) {/tex} is logically equivalent to-
Question 5 :
Which of the following is logically equivalent to (p ∧ q)?
Question 6 :
Let truth values of p be F and q be T. Then, truth value of ∼ ( ∼ p ∨ q) is
Question 9 :
Let p: is not greater than and q: Pairs is in France Be two statements. Then, ∼ (p ∨ q) is the statement
Question 10 :
∼ (p∨q) ∨ ( ∼ p ∧ q) is logically equivalent to
Question 11 :
∼ (p ∨ q) ∨ ( ∼ p ∧ q) is logically equivalent to
Question 12 :
When does the value of the statement p( ∧ r) ⇔ (r ∧ q) become false?
Question 13 :
In which of the following cases, p ⇒ q is true?
Question 15 :
If (p∧∼r) → ( ∼ p ∨ q) is false, then the truth values of p, q and rare respectively
Question 16 :
the negation of the statement "he is rich and happy" is given by
Question 17 :
A compound sentence formed by two simple statements p and q using connective 'or' is called
Question 18 :
Which of the following is logically equivalent to p ∧ q?
Question 19 :
∼ [(p ∧ q) → ( ∼ p ∨ q)] is
Question 20 :
The statement (p⇒q) ⇔ ( ∼ p ∧ q) is a
Question 21 :
If p → (q ∨ r) is false, then the truth values of p, q, r are respectively
Question 22 :
For any two statements p and q, ∼ (p∨q) ∨ ( ∼ p ∧ q)is logically equivalent to
Question 25 :
The statement ( ∼ p ∧ q) ∨ ∼ q is
Question 26 :
The property ∼ (p ∧ q) ≡ ∼ p ∨ ∼ q is called
Question 27 :
If p and q are two simple propositions, then p ↔︎ ∼ q is true when
Question 29 :
Consider the proposition : “If we control population growth, we prosper”. Negative of this proposition is
Question 31 :
The dual of the statement [p∨(∼q)] ∧ ( ∼ p) is
Question 35 :
Let inputs of p and q be 1 and 0 respectively in electric circuit. Then, output of p ∧ q is
Question 36 :
The converse of the contrapositive of the conditional p → ∼ q is
Question 37 :
Let p and q be two statements. Then, (∼p∨q) ∧ ( ∼ p ∧ ∼ q) is a
Question 38 :
The negative of the proposition : “If a number is divisible by 15, then it is divisible by 5 or 3”
Question 40 :
A compound sentence formed by two simple statements p and q using connective 'and' is called
Question 41 :
If statements {tex} \mathrm {p, q, r} {/tex} have truth values {tex} \mathrm {T, F, T} {/tex} respectively then which of the following statement is true?
Question 43 :
Let p and q be two propositions. Then the inverse of the implication p → q is
Question 44 :
<p>Which of the following not a statement in logic?</p> <p>1. Earth is planet.</p> <p>2. Plants are living objects.</p> <p>3. $\sqrt{- 3}$ is a rational number.</p> <p>4. x<sup>2</sup> − 5x + 6 < 0, when x ∈ − R.</p>
Question 45 :
If p and q are statements, then ∼ (p∧q) ∨ ∼ (q ⇔ p) is
Question 46 :
The negation of the proposition "If 2 is prime, then 3 is odd" is
Question 47 :
If p, q, r have truth values T, F, T respectively, which of the following is true?
Question 48 :
If p ⇒ ( ∼ p ∨ q) is false, the truth value of p and q are respectively