हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान कक्षा १२

Choose the correct alternative: Which one of the following is incorrect? For any two propositions p and q, we have

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:

Which one of the following is incorrect? For any two propositions p and q, we have

विकल्प

  • ¬(p v q) ≡ ¬p ∧ ¬q

  • ¬(p ∧ q) ≡ ¬p v ¬q

  • ¬(p v q) ≡ ¬p v ¬q

  • ¬(¬p) ≡ p

MCQ
Advertisements

उत्तर

¬(p v q) ≡ ¬p v ¬q

shaalaa.com
Mathematical Logic
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 12: Discrete Mathematics - Exercise 12.3 [पृष्ठ २५१]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
अध्याय 12 Discrete Mathematics
Exercise 12.3 | Q 15 | पृष्ठ २५१

संबंधित प्रश्न

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 v 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


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


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?

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!


Construct the truth table for the following statement.

¬(P ∧ ¬q)


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

((p → q) ∧ (q → r)) → (p → r)


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

The truth table for (p ∧ q) v ¬q is given below

p q (p ∧ q) v ¬q
T T (a)
T F (b)
F T (c)
F F (d)

Which one of the following is true?


Choose the correct alternative:

p q (p ∧ q) → ¬p
T T (a)
T F (b)
F T (c)
F F (d)

Which one of the following is correct for the truth value of (p ∧ q) → ¬p


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×