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तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता १२

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

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प्रश्न

Choose the correct alternative:

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

पर्याय

  • ¬(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
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 12: Discrete Mathematics - Exercise 12.3 [पृष्ठ २५१]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 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 → ¬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 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.

China is in Europe dr `sqrt(3)` is art integer


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?

4 + 7 = 12


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


Write the converse, inverse, and contrapositive of the following implication.

If x and y are numbers such that x = y, then x2 = y2


Construct the truth table for the following statement.

¬(P ∧ ¬q)


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)


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


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


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:

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


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:

The proposition p∧(¬p∨q)] is


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