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Choose the correct alternative: Negation of p → (p ˅ ~q) is - Mathematics and Statistics

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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

Write down the following statements in symbolic form :

(A) A triangle is equilateral if and only if it is equiangular.
(B) Price increases and demand falls


Evaluate: ∫ x . log x dx


Write the following compound statement symbolically.

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


Construct the truth table of the following statement pattern.

(p ∧ ∼q) ↔ (p → q)


Construct the truth table of the following statement pattern.

(q → p) ∨ (∼ p ↔ q)


Construct the truth table of the following statement pattern.

(p ∨ ∼ q) → (r ∧ p)


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


Express the following statement in symbolic form.

Mango is a fruit but potato is a vegetable.


Express the following statement in symbolic form.

Even though it is cloudy, it is still raining.


Write the truth value of the following statement.

16 is an even number and 8 is a perfect square.


Write the negation of the following statement.

2 + 3 ≠ 5


Write the following statement in symbolic form.

If triangle is equilateral then it is equiangular.


Write the following statement in symbolic form.

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


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.


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

p ∧ (q ∧ r)


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

~ [(~ p ∨ s) ∧ (~ q ∧ r)]


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

[(p ∨ s) → r] ∨ ~ [~ (p → q) ∨ s]


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

~ [p ∨ (r ∧ s)] ∧ ~ [(r ∧ ~ s) ∧ q]


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 not holiday or Ram studies on holiday.


If p : He swims

q : Water is warm

Give the verbal statement for the following symbolic statement.

q → p


Write the negation of the following statement.

10 > 5 and 3 < 8


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


Let p : 7 is not greater than 4 and q : Paris is in France by two statements. Then ∼(p ∨ q) is the statement ______ 


The inverse of the statement "If its quality is good. then it is expensive.", is ______ 


The statement, 'If I go to school, then I will get knowledge' is equivalent to ______ 


If p : A man is happy, q : A man is rich, then the symbolic form of ‘A man is neither happy nor rich is ______.


If p, q are true statements and r, s are false statements, then write the truth value of the compound statement

(p `→` ∼ r) `→` (q ∧ s)


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