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प्रश्न
Choose the correct alternative:
Which one of the following is not true?
विकल्प
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 ∧ ¬q
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p → ¬q
Write the following sentences in symbolic form using statement variables p and q.
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¬(P ∧ ¬q)
Construct the truth table for the following statement.
(p v q) v ¬q
Verify whether the following compound propositions are tautologies or contradictions or contingency.
(p ∧ q) ∧¬ (p v q)
Verify whether the following compound propositions are tautologies or contradictions or contingency.
((p v q) ∧¬p) → q
Show that (p ∧ q) ≡ ¬p v ¬q
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
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The operation * defined by a * b = `"ab"/7` is not a binary operation on
Choose the correct alternative:
Which one is the inverse of the statement (p v q) → (p ∧ q)?
Choose the correct alternative:
Which one is the contrapositive of the statement (p v q) → r?
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?
