हिंदी

Choose the correct alternative: Negation of p → (p ˅ ~q) is

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प्रश्न

Choose the correct alternative:

Negation of p → (p ˅ ~q) is

विकल्प

  • ~p → (~p ˅ q)

  • p ˄ (~p ˄ q)

  • ~p ˅ (~p ˅ ~q)

  • ~p → (~p → q)

MCQ
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उत्तर

p ˄ (~p ˄ q)

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अध्याय 1.1: Mathematical Logic - Q.1

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

Examine whether each of the following statement patterns is a tautology or a contradiction or a contingency.

[~(~p ∧ ~q)] v q


Construct the truth table of the following statement pattern.

(p ∧ q) ↔ (q ∨ r)


Construct the truth table of the following statement pattern.

(q → p) ∨ (∼ p ↔ q)


If p ∧ q is false and p ∨ q is true, then ______ is not true.


Construct the truth table of the following:

[(p ∧ q) ∨ r] ∧ [∼r ∨ (p ∧ q)]


Write the truth value of the negation of the following statement.

For every x ∈ N, x + 3 < 8.


Write the following statement in symbolic form.

Milk is white if and only if the sky is not blue.


Find the truth value of the following statement.

It is not true that 3 − 7i is a real number.


If p : He swims

q : Water is warm

Give the verbal statement for the following symbolic statement.

q ∧ ~ p


Assuming the first statement p and second as q. Write the following statement in symbolic form.

Mona likes Mathematics and Physics.


Assuming the first statement p and second as q. Write the following statement in symbolic form.

If Kiran drives the car, then Sameer will walk.


Let p : Sachin wins the match.
q : Sachin is a member of Rajya Sabha.
r : Sachin is happy.
Write the verbal statement of the following.
p→(q ∨ r)


Rewrite the following statement without using the connective ‘If ... then’.

If a quadrilateral is rhombus then it is not a square.


A biconditional statement is the conjunction of two ______ statements.


Write the following compound statements symbolically.

Triangle is equilateral or isosceles


Write the following statements in symbolic form

If Kutab – Minar is in Delhi then Taj - Mahal is in Agra


Using truth table prove that p ˅ (q ˄ r) ≡ (p ˅ q) ˄ (p ˅ r)


Choose the correct alternative:

A biconditional statement is the conjunction of two ______ statements


State whether the following statement is True or False:

The converse of inverse of ~ p → q is q → ~ p


Negation of “Some men are animal” is ______.


Write the negation of the statement “An angle is a right angle if and only if it is of measure 90°”


If p : Every natural number is a real number.
q : Every integer is a complex number. Then truth values of p → q and p ↔ q are ______ and ______ respectively.


If c denotes the contradiction then the dual of the compound statement ∼p ∧ (q ∨ c) is ______ 


The negation of (p ∨ ∼q) ∧ q is ______


The negation of ∼s ∨ (∼r ∧ s) is equivalent to ______


The logical statement (∼p → q) ∧ (q → p) is equivalent to: ______ 


Conditional of p → q is equivalent to p → ∼ q.


Write the contrapositive of the inverse of the statement:

‘If two numbers are not equal, then their squares are not equal’.


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