HSC Arts कक्षा १२ - Tamil Nadu Board of Secondary Education Question Bank Solutions

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

Construct the truth table for the following statement

(¬p → r) ∧ (p ↔ q)

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

(p ∧ q) ∧¬ (p v q)

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

((p v q) ∧¬p) → q

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

(p → q) ↔ (¬p → q)

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

((p → q) ∧ (q → r)) → (p → r)

Show that (p ∧ q) ≡ ¬p v ¬q

Show that ¬(p → q) ≡ p ∧¬q

Prove that q → p ≡ ¬p → ¬q

Show that p → q and q → p are not equivalent

Show that ¬(p ↔ q) ≡ p ↔ ¬q

Check whether the statement p → (q → p) is a tautology or a contradiction without using the truth table

Using the truth table check whether the statements ¬(p v q) v (¬p ∧ q) and ¬p are logically equivalent

Prove p → (q → r) ≡ (p ∧ q) → r without using the truth table

Prove that p → (¬q v r) ≡ ¬p v (¬q v r) using truth table

Choose the correct alternative:

The operation * defined by a * b = `"ab"/7` is not a binary operation on

Choose the correct alternative:

Which one of the following statements has the truth value T?

Choose the correct alternative:

Which one of the following statements has truth value F?