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

The dual of the statement (p ˅ q) ˄ (r ˅ s) is ______. - Mathematics and Statistics

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प्रश्न

The dual of the statement (p ˅ q) ˄ (r ˅ s) is ______.

पर्याय

  • (p ˄ q) ˄ (r ˄ s)

  • (p ˄ q) ˅ (r ˄ s)

  • (p ˅ q) ˅ (r ˅ s)

  • (p ˅ q) ˄ (r ˅ s)

MCQ
रिकाम्या जागा भरा

उत्तर

The dual of the statement (p ˅ q) ˄ ( r ˅ s) is (p ˄ q) ˅ (r ˄ s).

Explanation:

The dual of a proposition that contains only the logical operators ∨, ∧ can be obtained by replacing each ∨ by ∧ and each ∧ by ∨.

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पाठ 1.1: Mathematical Logic - Q.1

संबंधित प्रश्‍न

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A quadratic equation cannot have more than two roots.


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∀ x ∈ A, x is an even number.


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Write the truth value of the following statement:

∀ n ∈ N, n2 + n is even number while n2 – n is an odd number.


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.

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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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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!.


Choose the correct alternative :

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Choose the correct alternative :

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Solve the following :

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


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State which of the following sentences are statements in logic.
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State which of the following sentences are statements in logic.
All integers are natural numbers.


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Every parallelogram is a rhombus.


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4 + 5 = 7 or 9 − 2 = 5


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.


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p : Stock prices are high.
q : Stocks are rising.
to be true, find the truth value of the following.

Stock prices are high and stocks are rising if and only if stock prices are high.


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Choose the correct alternative :

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If p ↔ q and p → q both are true, then find truth values of the following with the help of activity

p ˅ q

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p ˅ q

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ii. If both p and q are false, then p ˅ q = `square` ˅ `square` = `square`


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