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प्रश्न
Choose the correct alternative:
Which one of the following statements has truth value F?
पर्याय
Chennai is in India or `sqrt(2)` is an integer
Chennai is in India or `sqrt(2)` is an irrational number
Chennai is in China or `sqrt(2)` is an integer
Chennai is in China or `sqrt(2)` is an irrational number
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उत्तर
Chennai is in China or `sqrt(2)` is an integer
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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 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
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It is not true that 5 + 5 = 9 or Earth is a planet
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3n ≤ 81, n ∈ N
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Peacock is our national bird
Which one of the following sentences is a proposition?
How tall this mountain is!
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)
Prove that q → p ≡ ¬p → ¬q
Show that p → q and q → p are not equivalent
Show that ¬(p ↔ q) ≡ p ↔ ¬q
Prove p → (q → r) ≡ (p ∧ q) → r without using the truth table
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?
Choose the correct alternative:
In the last column of the truth table for ¬(p v ¬q) the number of final outcomes of the truth value ‘F’ is
Choose the correct alternative:
The proposition p∧(¬p∨q)] is
