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Tamil Nadu Board of Secondary EducationHSC Science इयत्ता १२

HSC Science इयत्ता १२ - Tamil Nadu Board of Secondary Education Question Bank Solutions for Mathematics

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Mathematics
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Write the following sentences in symbolic form using statement variables p and q.

19 is a prime number and all the angles of a triangle are equal

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
Concept: undefined >> undefined

Write the following sentences in symbolic form using statement variables p and q.

19 is not a prime number

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
Concept: undefined >> undefined

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Determine the truth value of the following statement.

If 6 + 2 = 5, then the milk is white.

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
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Determine the truth value of the following statement.

China is in Europe dr `sqrt(3)` is art integer

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
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Determine the truth value of the following statement.

It is not true that 5 + 5 = 9 or Earth is a planet

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
Concept: undefined >> undefined

Determine the truth value of the following statement.

11 is a prime number and all the sides of a rectangle are equal

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
Concept: undefined >> undefined

Which one of the following sentences is a proposition?

4 + 7 = 12

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
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Which one of the following sentences is a proposition?

What are you doing?

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
Concept: undefined >> undefined

Which one of the following sentences is a proposition?

3n ≤ 81, n ∈ N

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
Concept: undefined >> undefined

Which one of the following sentences is a proposition?

Peacock is our national bird

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
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Which one of the following sentences is a proposition?

How tall this mountain is!

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
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Write the converse, inverse, and contrapositive of the following implication.

If x and y are numbers such that x = y, then x2 = y2

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
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Write the converse, inverse, and contrapositive of the following implication.

If a quadrilateral is a square then it is a rectangle

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
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Construct the truth table for the following statement.

¬P ∧ ¬q

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
Concept: undefined >> undefined

Construct the truth table for the following statement.

¬(P ∧ ¬q)

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
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Construct the truth table for the following statement.

(p v q) v ¬q

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
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Construct the truth table for the following statement

(¬p → r) ∧ (p ↔ q)

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
Concept: undefined >> undefined

Verify whether the following compound propositions are tautologies or contradictions or contingency.

(p ∧ q) ∧¬ (p v q)

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
Concept: undefined >> undefined

Verify whether the following compound propositions are tautologies or contradictions or contingency.

((p v q) ∧¬p) → q

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
Concept: undefined >> undefined

Verify whether the following compound propositions are tautologies or contradictions or contingency.

(p → q) ↔ (¬p → q)

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
Concept: undefined >> undefined
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