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प्रश्न
Choose the correct alternative:
Which one of the following is not true?
पर्याय
Negation of a statement is the statement itself
If the last column of the truth table contains only T then it is a tautology
If the last column of its truth table contains only F then it is a contradiction
If p and q are any two statements then p ⟷ q is a tautology
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उत्तर
If p and q are any two statements then p ⟷ q is a tautology
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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
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 not 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 a prime number or all the angles of a triangle are not equal
Write the following sentences in symbolic form using statement variables p and q.
19 is not a prime number
Determine the truth value of the following statement.
It is not true that 5 + 5 = 9 or Earth is a planet
Which one of the following sentences is a proposition?
What are you doing?
Which one of the following sentences is a proposition?
3n ≤ 81, n ∈ N
Which one of the following sentences is a proposition?
Peacock is our national bird
Construct the truth table for the following statement.
¬P ∧ ¬q
Construct the truth table for the following statement.
(p v q) v ¬q
Prove that q → p ≡ ¬p → ¬q
Show that p → q and q → p are not equivalent
Show that ¬(p ↔ q) ≡ p ↔ ¬q
Using the truth table check whether the statements ¬(p v q) v (¬p ∧ q) and ¬p are logically equivalent
Choose the correct alternative:
Which one of the following statements has the truth value T?
Choose the correct alternative:
Which one of the following statements has truth value F?
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
