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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

Solve the following : State which of the following sentences are statements in logic.Ice cream Sundaes are my favourite. - Mathematics and Statistics

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प्रश्न

Solve the following :

State which of the following sentences are statements in logic.
Ice cream Sundaes are my favourite.

पर्याय

  • Is a statement

  • Is not a statement

MCQ

उत्तर

Is a statement

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Mathematical Logic - Miscellaneous Exercise 1 [पृष्ठ ३१]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
पाठ 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.01 | पृष्ठ ३१

संबंधित प्रश्‍न

Write the truth values of the following.

5 is a prime number and 7 divides 94.


Write the truth values of the following.

24 is a composite number or 17 is a prime number.


If A = {3, 5, 7, 9, 11, 12}, determine the truth value of the following.

∀ x ∈ A, 2x + 9 > 14


Which of the following sentence is the statement in logic? Justify. Write down the truth value of the statement:

π is an irrational 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.


State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

x2 − 6x + 8 = 0 implies x = −4 or x = −2.


State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

The number 2 is the only even prime number.


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?


Choose the correct alternative :

If p is the sentence ‘This statement is false’ then


Choose the correct alternative :

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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.
(a + b)2 = a2 + 2ab + b2 for all a, b ∈ R.


Solve the following :

State which of the following sentences are statements in logic.
If x is real number then x2 ≥ 0.


If A = {2, 3, 4, 5, 6, 7, 8}, determine the truth value of the following statement.

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If p is any statement then ( p ˅ ∼ p) is a


State the truth value of `sqrt(3)` is not an irrational number


State the truth value of (p ˅ ∼p)


Without using truth table show that

(p ∨ q) ∧ (~ p ∨ ~ q) ≡ (p ∧ ~ q) ∨ ( ~ p ∧ q)


If (p ∧ ~ q) → ~ p is false, the truth values of p and q are respectively.


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