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प्रश्न
Which of the following is not a statement?
विकल्प
Smoking is injuries to health
2 + 2 = 4
2 is the only even prime number.
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उत्तर
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संबंधित प्रश्न
Write the following statement in symbolic form and find its truth value:
∀ n ∈ N, n2 + n is an even number and n2 - n is an odd number.
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Zero is a complex number.
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64 is a perfect square and 46 is a prime number.
Write the truth values of the following.
5 is a prime number and 7 divides 94.
Write the truth values of the following.
It is not true that 5−3i is a real number.
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 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 A = {3, 5, 7, 9, 11, 12}, determine the truth value of the following.
∀ x ∈ A, x2 + x is an even number
If A = {3, 5, 7, 9, 11, 12}, determine the truth value of the following.
∀ x ∈ A, x is an even number.
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∃ x ∈ A such that 3x + 8 > 40
If A = {1, 2, 3, 4, 5} then which of the following is not true?
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.
`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.
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State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.
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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.
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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.
State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.
Can you speak in English?
Which of the following statements is false?
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The statement q → p is called as the ––––––––– of the statement p → q.
Fill in the blanks :
p ↔ q is false when p and q have ––––––––– truth values.
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Truth value of 2 + 3 = 5 if and only if − 3 > − 9 is –––––––––.
State whether the following statement is True or False :
Truth value of 2 + 3 < 6 is F.
State whether the following statement is True or False :
Dual of “John and Ayub went to the forest” is “John and Ayub went to the forest”.
State whether the following statement is True or False :
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State whether the following statement is True or False :
x2 = 25 is true statement.
State whether the following statement is True or False :
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Solve the following :
State which of the following sentences are statements in logic.
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State which of the following sentences are statements in logic.
How beautiful the flower is!
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State which of the following sentences are statements in logic.
If x is real number then x2 ≥ 0.
Solve the following :
State which of the following sentences are statements in logic.
Do not come inside the room.
Which of the following sentence is a statement? In case of a statement, write down the truth value.
The square of every real number is positive.
Which of the following sentence is a statement? In case of a statement, write down the truth value.
Please carry out my instruction.
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The Himalayas is the highest mountain range.
Which of the following sentence is a statement? In case of a statement, write down the truth value.
(x − 2) (x − 3) = x2 − 5x + 6 for all x∈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?
Determine the truth value of the following statement.
4 + 5 = 7 or 9 − 2 = 5
Assuming the following statement.
p : Stock prices are high.
q : Stocks are rising.
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If stock prices are high then stocks are not rising.
Assuming the following statement.
p : Stock prices are high.
q : Stocks are rising.
to be true, find the truth value of the following.
It is false that stocks are rising and stock prices are high.
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)
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∼ (p ∧ q) → ∼ (q ∧ p)
If A = {2, 3, 4, 5, 6, 7, 8}, determine the truth value of the following statement.
∃ x ∈ A, such that 3x + 2 > 9
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∀ x ∈ A, x2 < 18.
If A = {2, 3, 4, 5, 6, 7, 8}, determine the truth value of the following statement.
∀ x ∈ A, x2 + 2 ≥ 5.
If p is any statement then ( p ˅ ∼ p) is a
State the truth value of (p ˄ ∼p)
If statements p, q are true and r, s are false, determine the truth values of the following.
~ p ∧ (q ∨ ~ r)
Choose the correct alternative :
Which of the following statement is true?
Choose the correct alternative :
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The dual of the statement (p ˅ q) ˄ (r ˅ s) is ______.
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The dual of (p ˄ q) ˅ ~ q is (p ˅ q) ˄ ~ q
State whether the following statement is True or False:
Mathematical identities are true statements
The truth value of the statement “Neither 27 is a prime number nor divisible by 4” is ______
If p ↔ q and p → q both are true, then find truth values of the following with the help of activity
p ˄ q
|
p ↔ q and p → q both are true if p and q has truth value `square`, `square` or `square`, `square` p ˄ q i. If both p and q are true, then p ˄ q = `square` ˄ `square` = `square` ii. If both p and q are false, then p ˄ q = `square` ˄ `square` = `square` |
Let a: ~ (p ∧ ~ r) v (~ q v s) and
b: (p v s) ↔ (q ∧ r).
If the truth values of p and q are true and that of rands are false, then the truth values of a and bare respectively.
If p ↔ (~ p → q) is false, then the truth values of p and q are respectively ______.
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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.
Find the truth value of the following compound statement:
5 + 4 = 9 and 6 × 3 = 12
