Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
The truth table for (p ∧ q) v ¬q is given below
p | q | (p ∧ q) v ¬q |
T | T | (a) |
T | F | (b) |
F | T | (c) |
F | F | (d) |
Which one of the following is true?
पर्याय
(a) T T T T (b) T F T T (c) T T F T (d) T F F F
उत्तर
(c) | T | T | F | T |
APPEARS IN
संबंधित प्रश्न
Let p : Jupiter is a planet and q : India is an island be any two simple statements. Give verbal sentence describing the following statement.
¬p v q
Let p : Jupiter is a planet and q : India is an island be any two simple statements. Give verbal sentence describing the following statement.
p ↔ q
Write the following sentences in symbolic form using statement variables p and q.
19 is a prime number and all the angles of a triangle are equal
Write the following sentences in symbolic form using statement variables p and q.
19 is not a prime number
Which one of the following sentences is a proposition?
4 + 7 = 12
Which one of the following sentences is a proposition?
3n ≤ 81, n ∈ N
Which one of the following sentences is a proposition?
How tall this mountain is!
Construct the truth table for the following statement.
¬(P ∧ ¬q)
Construct the truth table for the following statement
(¬p → r) ∧ (p ↔ q)
Verify whether the following compound propositions are tautologies or contradictions or contingency.
(p → q) ↔ (¬p → q)
Show that ¬(p → q) ≡ p ∧¬q
Prove that q → p ≡ ¬p → ¬q
Check whether the statement p → (q → p) is a tautology or a contradiction without using the truth table
Prove p → (q → r) ≡ (p ∧ q) → r without using the truth table
Choose the correct alternative:
Which one of the following statements has the truth value T?
Choose the correct alternative:
The proposition p∧(¬p∨q)] is
Choose the correct alternative:
Determine the truth value of each of the following statements:
(a) 4 + 2 = 5 and 6 + 3 = 9
(b) 3 + 2 = 5 and 6 + 1 = 7
(c) 4 + 5 = 9 and 1 + 2 = 4
(d) 3 + 2 = 5 and 4 + 7 = 11