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

Let p : Jupiter is a planet and q : India is an island be any two simple statements. Give verbal sentence describing the following statement.

p → ¬q

Let p : Jupiter is a planet and q : India is an island be any two simple statements. Give verbal sentence describing the following statement.

p ↔ q

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

19 is not a prime number and all the angles of a triangle are equal

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

19 is a prime number or all the angles of a triangle are not equal

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

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

19 is not a prime number

Determine the truth value of the following statement.

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

Determine the truth value of the following statement.

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

Determine the truth value of the following statement.

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

Determine the truth value of the following statement.

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

Which one of the following sentences is a proposition?

4 + 7 = 12

Which one of the following sentences is a proposition?

What are you doing?

Which one of the following sentences is a proposition?

3ⁿ ≤ 81, n ∈ N

Which one of the following sentences is a proposition?

Peacock is our national bird

Which one of the following sentences is a proposition?

How tall this mountain is!

Write the converse, inverse, and contrapositive of the following implication.

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

Write the converse, inverse, and contrapositive of the following implication.

If a quadrilateral is a square then it is a rectangle

Construct the truth table for the following statement.

¬P ∧ ¬q

Construct the truth table for the following statement.

¬(P ∧ ¬q)

Construct the truth table for the following statement.

(p v q) v ¬q