HSC Commerce (English Medium) 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Solve the following :

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.

Solve the following :

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

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.

Every parallelogram is a rhombus.

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.

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

Please carry out my instruction.

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.

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?

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

0! = 1

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.

Determine the truth value of the following statement.

4 + 5 = 7 or 9 − 2 = 5

Determine the truth value of the following statement.

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

Determine the truth value of the following statement.

x + y = 0 is the equation of a straight line if and only if y² = 4x is the equation of the parabola.

Determine the truth value of the following statement.

It is not true that 2 + 3 = 6 or 12 + 3 =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.

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

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

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.