Advertisements
Advertisements
प्रश्न
Solve the following :
State which of the following sentences are statements in logic.
All integers are natural numbers.
पर्याय
Is a statement
Is not a statement
Advertisements
उत्तर
Is a statement
APPEARS IN
संबंधित प्रश्न
If p, q, r are the statements with truth values T, F, T, respectively then find the truth value of (r ∧ q) ↔ ∼ p
State which of the following is the statement. Justify. In case of a statement, state its truth value.
Zero is a complex number.
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:
π is an irrational number.
Which of the following sentence is the statement in logic? Justify. Write down the truth value of the statement:
cos2θ − sin2θ = cos2θ for all θ∈R.
State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.
You are amazing!
State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.
x2 - y2 = (x + y)(x - y) for all x, y ∈ R.
State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.
The number of arrangements of 7 girls in a row for a photograph is 7!.
State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.
Bring the motor car here.
State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.
If a + b < 7, where a ≥ 0 and b ≥ 0 then a < 7 and b < 7.
Choose the correct alternative :
Which of the following is an open statement?
Choose the correct alternative :
The statement (∼ p ∧ q) ∨∼ q is
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 ______.
Fill in the blanks :
Truth value of if x = 2, then x2 = − 4 is –––––––––.
Solve the following :
State which of the following sentences are statements in logic.
Ice cream Sundaes are my favourite.
Solve the following :
State which of the following sentences are statements in logic.
How beautiful the flower is!
Determine the truth value of the following statement.
x + y = 0 is the equation of a straight line if and only if y2 = 4x is the equation of the parabola.
Assuming the following statement.
p : Stock prices are high.
q : Stocks are rising.
to be true, find the truth value of the following.
Stock prices are not high or stocks are rising.
If p, q, r are statements with truth values T, T, F respectively determine the truth values of the following.
(p ∧ ∼ q) ∨ (∼ p ∧ q)
State the truth value of `sqrt(3)` is not an irrational number
Choose the correct alternative :
Which of the following is not a statement?
State whether the following statement is True or False:
p ˅ ~ p ≡ ~ c
Using truth table prove that p ˅ (q ˄ r) ≡ (p ˅ q) ˄ (p ˅ r).
If p ↔ (~ p → q) is false, then the truth values of p and q are respectively ______.
If p `rightarrow` (p ∧ ∼q) is false, then the truth values of p and q are respectively ______.
Find the truth value of the following compound statement:
5 + 4 = 9 and 6 × 3 = 12
