Advertisements
Advertisements
प्रश्न
State which of the following is the statement. Justify. In case of a statement, state its truth value.
Can you speak in Marathi?
Advertisements
उत्तर
It is an interrogative sentence, hence it is not a statement.
APPEARS IN
संबंधित प्रश्न
Write truth values of the following statements :`sqrt5` is an irrational number but 3 +`sqrt 5` is a complex number.
State which of the following is the statement. Justify. In case of a statement, state its truth value.
5 + 4 = 13
State which of the following is the statement. Justify. In case of a statement, state its truth value.
Zero is a complex number.
State which of the following is the statement. Justify. In case of a statement, state its truth value.
A quadratic equation cannot have more than two roots.
Write the truth value of the following.
If 3 × 5 = 8 then 3 + 5 = 15.
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 → s)
If the statement p, q are true statement and r, s are false statement then determine the truth value of the following:
(∼ r ↔ p) → ∼ q
If A = {3, 5, 7, 9, 11, 12}, determine the truth value of the following.
∃ x ∈ A such that x – 8 = 1
Which of the following sentence is the statement in logic? Justify. Write down the truth value of the statement:
4! = 24.
Which of the following sentence is the statement in logic? Justify. Write down the truth value of the statement:
If x is a whole number then x + 6 = 0.
`sqrt5` is an irrational but `3sqrt5` is a complex number.
Write the truth value of the following statement:
The square of any even number is odd or the cube of any odd number is odd.
Write the truth value of the following statement:
In ΔABC if all sides are equal then its all angles are equal.
Write the truth value of the following statement:
∀ n ∈ N, n + 6 > 8.
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.
State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.
3 + 5 > 11
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.
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 :
If p : He is intelligent.
q : He is strong
Then, symbolic form of statement “It is wrong that, he is intelligent or strong” is
Choose the correct alternative :
Negation of the statement “This is false or That is true” is
If p ∨ q is true then truth value of ∼ p ∨ ∼ q is ______.
Fill in the blanks :
p ↔ q is false when p and q have ––––––––– truth values.
State whether the following statement is True or False :
p ∨ q has truth value F is both p and q has truth value F.
Solve the following :
State which of the following sentences are statements in logic.
(2 + 1)2 = 9.
Solve the following :
State which of the following sentences are statements in logic.
How beautiful the flower is!
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.
Which of the following sentence is a statement? In case of a statement, write down the truth value.
What are the causes of rural unemployment?
Assuming the following statement.
p : Stock prices are high.
q : Stocks are rising.
to be true, find the truth value of the following.
If stock prices are high then stocks are not rising.
If p, q, r are statements with truth values T, T, F respectively determine the truth values of the following.
∼ (p ∧ q) → ∼ (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)]
State the truth value of `sqrt(3)` is not an irrational number
State the truth Value of x2 = 25
State the truth value of (p ˅ ∼p)
Choose the correct alternative :
Which of the following statement is true?
State whether the following statement is True or False:
Truth value of `sqrt(3)` is not an irrational number is F
The truth value of negation of “London is in England” is ______
Which of the following quantified statement is true?
If (p ∧ ~ q) → ~ p is false, the truth values of p and q are respectively.
If truth values of p ↔ r, r, p ↔ q are F, T, F respectively, then respective truth values of p and q are ______.
Consider the following two statements.
Statement p:
The value of sin 120° can be divided by taking θ = 240° in the equation 2 sin `θ/2` = `sqrt(1 + sin θ) - sqrt(1 - sinθ)`.
Statement q:
The angles A, B, C and D of any quadrilateral ABCD satisfy the equation `cos(1/2(A + C)) + cos(1/2(B + D))` = 0
Then the truth values of p and q are respectively.
Using truth table prove that:
`p → (q ∨ r) ≡ (p → q) ∨ (p → r)`
