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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

State whether the following statement is True or False: The converse of inverse of ~ p → q is q → ~ p. - Mathematics and Statistics

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प्रश्न

State whether the following statement is True or False:

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

पर्याय

  • True

  • False

MCQ
चूक किंवा बरोबर
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उत्तर

False

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पाठ 1.1: Mathematical Logic - Q.2

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

Using truth table prove that p ↔ q = (p ∧ q) ∨ (~p ∧ ~q).


Using truth table, prove the following logical equivalence:

(p ∧ q) → r ≡ p → (q → r)


Write the following compound statement symbolically. 

Hima Das wins gold medal if and only if she runs fast.


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


Write the truth value of the following statement.

Earth is a planet and Moon is a star.


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

London is in England.


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.

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


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.

If Sunday is not holiday then Ram studies on holiday.


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.

3 is prime number if 3 is perfect square number.


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

The necessary condition for existence of a tangent to the curve of the function is continuity.


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


Write the negation of the following.

Ramesh is intelligent and he is hard working.


Write the negation of the following.

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


Write the negation of the following statement.

∀ n ∈ N, n + 3 > 9.


Find the negation of 10 + 20 = 30


Given 'p' and 'q' as true and 'r' as false, the truth values of p v (q ∧ ~r) and (p → r) ∧ q are respectively


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


Which of the following is NOT true for p → q.


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


Which of the following is logically equivalent to `∼(∼p \implies q)`?


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


Express the following compound statement symbolically:

3 + 8 ≥ 12 if and only if 5 × 4 ≤ 25


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