हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान कक्षा १२

Choose the correct alternative: The dual of ¬(p v q) v [p v(p ∧ ¬r)] is - Mathematics

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:

The dual of ¬(p v q) v [p v(p ∧ ¬r)] is

विकल्प

  • ¬(p ∧ q) ∧ [p v(p ∧ ¬r)]

  • (p ∧ q) ∧ [p v(p v ¬r)]

  • ¬(p ∧ q) ∧ [p ∧ (p ∧ r)]

  • ¬(p ∧ q) ∧ [p ∧ (p v ¬r)]

MCQ
Advertisements

उत्तर

¬(p ∧ q) ∧ [p ∧ (p v ¬r)]

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 17 | 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 v q


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.

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


Which one of the following sentences is a proposition?

3n ≤ 81, n ∈ N


Construct the truth table for the following statement.

¬P ∧ ¬q


Construct the truth table for the following statement.

¬(P ∧ ¬q)


Show that ¬(p → q) ≡ p ∧¬q


Check whether the statement p → (q → p) is a tautology or a contradiction 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:

If a compound statement involves 3 simple statements, then the number of rows in the truth table is


Choose the correct alternative:

Which one is the inverse of the statement (p v q) → (p ∧ q)?


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


Choose the correct alternative:

Which one of the following is not true?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×