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HSC Commerce (English Medium) इयत्ता १२ वी - Maharashtra State Board Question Bank Solutions

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Solve the following :

State which of the following sentences are statements in logic.
(a + b)2 = a2 + 2ab + b2 for all a, b ∈ R.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Solve the following :

State which of the following sentences are statements in logic.
(2 + 1)2 = 9.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

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Solve the following :

State which of the following sentences are statements in logic.
Why are you sad?

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Solve the following :

State which of the following sentences are statements in logic.
How beautiful the flower is!

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Solve the following :

State which of the following sentences are statements in logic.
The square of any odd number is even.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Solve the following :

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

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Solve the following :

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

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Solve the following :

State which of the following sentences are statements in logic.
Do not come inside the room.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Solve the following :

State which of the following sentences are statements in logic.
What a horrible sight it was!

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

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.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Which of the following sentence is a statement? In case of a statement, write down the truth value.

Every parallelogram is a rhombus.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

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.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Which of the following sentence is a statement? In case of a statement, write down the truth value.

Please carry out my instruction.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Which of the following sentence is a statement? In case of a statement, write down the truth value.

The Himalayas is the highest mountain range.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

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.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

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?

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Which of the following sentence is a statement? In case of a statement, write down the truth value.

0! = 1

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Which of the following sentence is a statement? In case of a statement, write down the truth value.

The quadratic equation ax2 + bx + c = 0 (a ≠ 0) always has two real roots.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Determine the truth value of the following statement.

4 + 5 = 7 or 9 − 2 = 5

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Determine the truth value of the following statement.

If 9 > 1 then x2 − 2x + 1 = 0 for x = 1

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined
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