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

Write the following statements in symbolic form. If Qutub – Minar is in Delhi then Taj-Mahal is in Agra - Mathematics and Statistics

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प्रश्न

Write the following statements in symbolic form.

If Qutub – Minar is in Delhi then Taj-Mahal is in Agra

बेरीज
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उत्तर

Let p: Qutub-Minar is in Delhi.

q: Taj-Mahal is in Agra.

The symbolic form is p → q.

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पाठ 1.1: Mathematical Logic - Q.4

व्हिडिओ 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


Using truth table prove that ∼p ˄ q ≡ (p ˅ q) ˄ ∼p


Using truth table, prove that ~ p ∧ q ≡ (p ∨ q) ∧ ~ p


Construct the truth table of the following statement pattern.

(p ∧ q) ↔ (q ∨ r)


Construct the truth table of the following statement pattern.

(q → p) ∨ (∼ p ↔ q)


Construct the truth table of the following:

p → (q → p)


Construct the truth table of the following:

(∼p ∨ ∼q) ↔ [∼(p ∧ q)]


Construct the truth table of the following:

[(p ∧ q) ∨ r] ∧ [∼r ∨ (p ∧ q)]


Determine the truth values of p and q in the following case:

(p ∧ q) is F and (p ∧ q) → q is T


Express the following statement in symbolic form.

e is a vowel or 2 + 3 = 5


Express the following statement in symbolic form.

Mango is a fruit but potato is a vegetable.


Write the truth value of the following statement.

Earth is a planet and Moon is a star.


Write the truth value of the following statement.

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


Write the truth value of the following statement.

A quadratic equation has two distinct roots or 6 has three prime factors.


Write the negation of the following statement.

All men are animals.


Write the following statement in symbolic form.

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


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) 


If p : He swims

q : Water is warm

Give the verbal statement for the following symbolic statement:

p ↔ ~ q


Write the negation of the following.

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


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.


Negation of p → (p ˅ ∼ q) is ______


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


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


Write the following statement in symbolic form.

It is not true that `sqrt(2)` is a rational number.


From the following set of statements, select two statements which have similar meaning.

  1. If a man is judge, then he is honest.
  2. If a man is not a judge, then he is not honest.
  3. If a man is honest, then he is a judge.
  4. If a man is not honest, then he is not a judge.

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