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

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 → r

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प्रश्न

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 → r

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उत्तर

If Sachin wins the match then he is happy.

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पाठ 1: Mathematical Logic - Miscellaneous Exercise 1 [पृष्ठ ३२]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
पाठ 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.05 | पृष्ठ ३२

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संबंधित प्रश्‍न

Using truth table, prove the following logical equivalence:

(p ∧ q) → r ≡ p → (q → r)


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(B) Price increases and demand falls


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


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Angle is neither acute nor obtuse.


Write the following compound statement symbolically. 

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


Construct the truth table of the following statement pattern.

(q → p) ∨ (∼ p ↔ q)


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Even though it is cloudy, it is still raining.


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

London is in England.


Write the following statement in symbolic form.

Even though it is not cloudy, it is still raining.


Find the truth value of the following statement.

Neither 27 is a prime number nor divisible by 4.


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) 


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~ [(~ p ∨ s) ∧ (~ q ∧ r)]


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Give the verbal statement for the following symbolic statement.

~ (p ∨ q)


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Give the verbal statement for the following symbolic statement.

q → p


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The drug is effective though it has side effects.


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Proof is lengthy and it is not interesting.


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(Hint : p → q ≡ ∼ p ∨ q)

If price increases, then demand falls.


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


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(p `→` ∼ r) `→` (q ∧ s)


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q: Seema is happy,

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