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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Negation of p → ( p˅ ∼ q) is - Mathematics and Statistics

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प्रश्न

Negation of p → (p ˅ ∼ q) is ______

पर्याय

  • ∼ p → (∼ p ˅ q)

  • p ˄ (∼ p ˄ q)

  • ∼ p ˅ (∼ p ˅ ∼ q)

  • ∼ p → (∼ p → q)

MCQ
रिकाम्या जागा भरा
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उत्तर

Negation of p → (p ˅ ∼ q) is p ˄ (∼ p ˄ q)

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पाठ 1.1: Mathematical Logic - MCQ

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

Evaluate: ∫ x . log x dx


Write converse, inverse contrapositive of the statement "If two triangles are not congruent then their areas are not equal.


Write the following compound statement symbolically.

The angle is right angle if and only if it is of measure 90°.


Write the following compound statement symbolically.

x is not irrational number but is a square of an integer.


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) ∨ q


Express the following statement in symbolic form.

I like playing but not singing.


Write the negation of the following statement.

It is false that Nagpur is capital of Maharashtra


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

London is in England.


Write the following statement in symbolic form.

It is not true that “i” is a real number.


Write the following statement in symbolic form.

Stock prices are high if and only if stocks are rising.


Write the following statement in symbolic form.

If Kutub-Minar is in Delhi then Taj-Mahal is in Agra.


Find the truth value of the following statement.

If a joint venture is a temporary partnership, then discount on purchase is credited to the supplier.


Find the truth value of the following statement.

Every accountant is free to apply his own accounting rules if and only if machinery is an asset.


Find the truth value of the following statement.

3 is a prime number and an odd number.


If p and q are true and r and s are false, find the truth value of the following compound statement.

(p → q) ∨ (r ∧ s) 


Assuming that the following statement is true,

p : Sunday is holiday,

q : Ram does not study on holiday,

find the truth values of the following statements.

Sunday is a holiday and Ram studies on holiday.


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

The Sun has set and Moon has risen.


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

3 is prime number if 3 is perfect square number.


If p : Proof is lengthy.
q : It is interesting.
Express the following statement in symbolic form.

If proof is lengthy then it is interesting.


If p : Proof is lengthy.
q : It is interesting.
Express the following statement in symbolic form.

It is not true that the proof is lengthy but it is interesting.


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


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 conditional –
(Hint : p → q ≡ ∼ p ∨ q)

If demand falls, then price does not increase.


Write the negation of the following.

If ∆ABC is not equilateral, then it is not equiangular.


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

If it rains then the principal declares a holiday.


Consider the following statements.

  1. If D is dog, then D is very good.
  2. If D is very good, then D is dog.
  3. If D is not very good, then D is not a dog.
  4. If D is not a dog, then D is not very good. 

Identify the pairs of statements having the same meaning. Justify.


Write the negation of the following statement.

10 > 5 and 3 < 8


Write the negation of the following statement.

I will have tea or coffee.


Write the negation of the following statement.

∀ n ∈ N, n + 3 > 9.


A biconditional statement is the conjunction of two ______ statements.


If p → q is an implication, then the implication ∼ q → ∼ p is called its


Find the negation of 10 + 20 = 30


If (p ∧ ~ r) → (~ p ∨ q) is a false statement, then respective truth values of p, q and r are ______.


If p, q are true statement and r is false statement, then which of the following statements is a true statement.


The symbolic form of the following circuit is (where p, q represents switches S1 and S2 closed respectively)


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


If p and q are true and rands are false statements, then which of the following is true?


The Boolean expression ∼(q ⇒ ∼p) is equivalent to: ______


The negation of the statement: "Getting above 95% marks is a necessary condition for Hema to get admission in good college'' is ______


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


Write the converse, inverse, and contrapositive of the statement. "If 2 + 5 = 10, then 4 + 10 = 20."


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


Let p, q and r be any three logical statements. Which of the following is true?


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