HSC Science (Computer Science) इयत्ता १२ वी - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Write truth values of the following statements: ∃ n ∈ N such that n + 5 > 10.

Write the following statement in symbolic form and find its truth value:
∀ n ∈ N, n² + n is an even number and n² - n is an odd number.

Using truth tables, examine whether the statement pattern (p ∧ q) ∨ (p ∧ r) is a tautology, contradiction or contingency.

If p, q, r are the statements with truth values T, F, T, respectively then find the truth value of (r ∧ q) ↔ ∼ p

State which of the following is the statement. Justify. In case of a statement, state its truth value.

5 + 4 = 13

State which of the following is the statement. Justify. In case of a statement, state its truth value.

x – 3 = 14

State which of the following is the statement. Justify. In case of a statement, state its truth value.

Close the door.

State which of the following is the statement. Justify. In case of a statement, state its truth value.

Zero is a complex number.

State which of the following is the statement. Justify. In case of a statement, state its truth value.

Please get me breakfast.

State which of the following is the statement. Justify. In case of a statement, state its truth value.

Congruent triangles are similar.

State which of the following is the statement. Justify. In case of a statement, state its truth value.

x² = x

State which of the following is the statement. Justify. In case of a statement, state its truth value.

A quadratic equation cannot have more than two roots.

State which of the following is the statement. Justify. In case of a statement, state its truth value.

Do you like Mathematics?

State which of the following is the statement. Justify. In case of a statement, state its truth value.

The sunsets in the west

State which of the following is the statement. Justify. In case of a statement, state its truth value.

All real numbers are whole numbers.

State which of the following is the statement. Justify. In case of a statement, state its truth value.

Can you speak in Marathi?

State which of the following is the statement. Justify. In case of a statement, state its truth value.

x² – 6x – 7 = 0, when x = 7

State which of the following is the statement. Justify. In case of a statement, state its truth value.

The sum of cube roots of unity is zero.

State which of the following is the statement. Justify. In case of a statement, state its truth value.

It rains heavily.

Find the combined equation of the following pair of lines:

2x + y = 0 and 3x − y = 0