(q ∧ r) ∨ (~p ∧ s) - Vidyadip

Question

(q ∧ r) ∨ (~p ∧ s)

✓

Answer

(q ∧ r) ∨ (~p ∧ s) ≡ (T ∧ F) ∨ (~T ∧ F)
≡ F ∨ (F ∧ F)
≡ F ∨ F ≡ F
Hence the truth value of the given statement is false.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Write true or false if statement is wrong write the true statement." from Mathematical Logic→Mathematical Logic — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

All real numbers are whole numbers.

~ [(~p ∧ r) ∨ (s → ~q)] ↔ (p ∧ r)

If A = {1, 2, 3, 4, 5, 6, 7, 8, 9}, determine the truth value of each of the following statement : Ǝ x ∈ A such that x + 8 = 15.

Do you like Mathematics ?

[(~ p ∧ q) ∧ (~ r)] ∨ [(q → p) → (~ s ∨ r)]

Please get me breakfast.

Close the door.

Zero is a complex number.

(p → q) ∧ (~ r)

If A = {1, 2, 3, 4, 5, 6, 7, 8, 9}, determine the truth value of each of the following statement : Ɐ x ∈ A, 3x ≤ 25.