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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

विकल्प

  • True

  • False

MCQ
सत्य या असत्य
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उत्तर

False

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अध्याय 1.1: Mathematical Logic - Q.2

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

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


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[p → (q → r)] ↔ [(p ∧ q) → r]


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(∼p ∨ ∼q) ↔ [∼(p ∧ q)]


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(p ∧ q) is F and (p ∧ q) → q is T


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The Himalayas are the highest mountains but they are part of India in the North East.


Write the negation of the following statement.

All men are animals.


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.


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[(p ∨ s) → r] ∨ ~ [~ (p → q) ∨ 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.

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q : Water is warm

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p ↔ ~ q


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

If the question paper is not easy then we shall not pass.


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

p → q


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p : Stock prices are high.

q : Stocks are rising.

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Stock prices are high or stocks are not rising iff stocks are rising.


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If it rains then the principal declares a holiday.


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(p `→` ∼ r) `→` (q ∧ s)


Write the negation of (p `leftrightarrow` q).


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