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

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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
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उत्तर

¬(p ∧ q) ∧ [p ∧ (p v ¬r)]

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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


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


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.

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


Construct the truth table for the following statement.

(p v q) v ¬q


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

(p ∧ q) ∧¬ (p v q)


Prove that q → p ≡ ¬p → ¬q


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


Choose the correct alternative:

Which one of the following statements has truth value F?


Choose the correct alternative:

Which one is the contrapositive of the statement (p v q) → r?


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:

In the last column of the truth table for ¬(p v ¬q) the number of final outcomes of the truth value ‘F’ is


Choose the correct alternative:

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


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?


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