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प्रश्न
State whether the following statement is True or False :
x2 = 25 is true statement.
विकल्प
True
False
उत्तर
False.
संबंधित प्रश्न
Write the truth values of the following.
4 is odd or 1 is prime.
If the statement p, q are true statement and r, s are false statement then determine the truth value of the following:
p ∨ (q ∧ r)
If p ∧ q is F, p → q is F then the truth values of p and q are ________.
Which of the following sentence is the statement in logic? Justify. Write down the truth value of the statement:
4! = 24.
State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.
A triangle has ‘n’ sides.
State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.
He is an actor.
Choose the correct alternative :
∼ (p ∨ q) ∨ (∼ p ∧ q) is logically equivalent to
If p and q are two statements then (p → q) ↔ (∼ q → ∼ p) is ______.
Choose the correct alternative :
Negation of the statement “This is false or That is true” is
Fill in the blanks :
p ↔ q is false when p and q have ––––––––– truth values.
Solve the following :
State which of the following sentences are statements in logic.
Do not come inside the room.
Solve the following :
State which of the following sentences are statements in logic.
What a horrible sight it was!
Which of the following sentence is a statement? In case of a statement, write down the truth value.
a2 − b2 = (a + b) (a − b) for all a, b ∈ R.
If p, q, r are statements with truth values T, T, F respectively determine the truth values of the following.
(p ∧ q) → ∼ p.
If p, q, r are statements with truth values T, T, F respectively determine the truth values of the following.
p ↔ (q → ∼ p)
If p, q, r are statements with truth values T, T, F respectively determine the truth values of the following.
∼ [(p → q) ↔ (p ∧ ∼ q)]
The dual of the statement (p ˅ q) ˄ (r ˅ s) is ______.
Using truth table prove that ~ p ˄ q ≡ ( p ˅ q) ˄ ~ p
Without using truth table show that
(p ∨ q) ∧ (~ p ∨ ~ q) ≡ (p ∧ ~ q) ∨ ( ~ p ∧ q)
Find the truth value of the following compound statement:
5 + 4 = 9 and 6 × 3 = 12
