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

The truth value of the statement “Neither 27 is a prime number nor divisible by 4” is ______ - Mathematics and Statistics

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प्रश्न

The truth value of the statement “Neither 27 is a prime number nor divisible by 4” is ______

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उत्तर

The truth value of the statement “Neither 27 is a prime number nor divisible by 4” is True

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पाठ 1.1: Mathematical Logic - Q.3

संबंधित प्रश्‍न

If p ˄ q = F, p → q = F, then the truth value of p and q is ______.


Using truth tables, examine whether the statement pattern (p ∧ q) ∨ (p ∧ r) is a tautology, contradiction or contingency.


State which of the following is the statement. Justify. In case of a statement, state its truth value.

Do you like Mathematics?


Write the truth values of the following.

5 is a prime number and 7 divides 94.


If the statement p, q are true statement and r, s are false statement then determine the truth value of the following:

p ∨ (q ∧ r)


If the statement p, q are true statement and r, s are false statement then determine the truth value of the following:

(∼ r ↔ p) → ∼ q


If the statement p, q are true statement and r, s are false statement then determine the truth value of the following:

[(∼ p ∧ q) ∧ ∼ r] ∨ [(q → p) → (∼ s ∨ r)]


If A = {3, 5, 7, 9, 11, 12}, determine the truth value of the following.

∃ x ∈ A such that 3x + 8 > 40


If p ∧ q is F, p → q is F then the truth values of p and q are ________.


Write the truth value of the following statement:

∃ n ∈ N such that n + 5 > 10.


State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

`sqrt(-4)` is an irrational number.


State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

He is an actor.


State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

Have a cup of cappuccino.


State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

The number of arrangements of 7 girls in a row for a photograph is 7!.


Which of the following is not a statement?


Choose the correct alternative :

If p : He is intelligent.
q : He is strong
Then, symbolic form of statement “It is wrong that, he is intelligent or strong” is


Fill in the blanks :

p ↔ q is false when p and q have ––––––––– truth values.


State whether the following statement is True or False :

There are 24 months in year is a statement.


State whether the following statement is True or False :

p ∨ q has truth value F is both p and q has truth value F.


State whether the following statement is True or False :

“His birthday is on 29th February” is not a statement.


State whether the following statement is True or False :

x2 = 25 is true statement.


State whether the following statement is True or False :

p ∧ t = p.


Which of the following sentence is a statement? In case of a statement, write down the truth value.

(x − 2) (x − 3) = x2 − 5x + 6 for all x∈R.


If p, q, r are statements with truth values T, T, F respectively determine the truth values of the following.

(p ∧ q) → ∼ p.


State whether the following statement is True or False:

Truth value of `sqrt(3)` is not an irrational number is F


The truth value of negation of “London is in England” is ______


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


If p `rightarrow` (p ∧ ∼q) is false, then the truth values of p and q are respectively ______.


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