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Choose the correct alternative: The proposition p∧(¬p∨q)] is - Mathematics

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प्रश्न

Choose the correct alternative:

The proposition p∧(¬p∨q)] is

पर्याय

  • a tautology

  • a contradiction

  • logically equivalent to p∧q

  • logically equivalent to p∨q

MCQ
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उत्तर

logically equivalent to p∧q

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

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 12 Discrete Mathematics
Exercise 12.3 | Q 18 | 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 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 not a prime number


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.

It is not true that 5 + 5 = 9 or Earth is a planet


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


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

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


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

If a quadrilateral is a square then it is a rectangle


Construct the truth table for the following statement.

¬P ∧ ¬q


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

(p → q) ↔ (¬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


Choose the correct alternative:

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


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:

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?


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