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

Choose the correct alternative : If p is the sentence ‘This statement is false’ then - Mathematics and Statistics

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प्रश्न

Choose the correct alternative :

If p is the sentence ‘This statement is false’ then

पर्याय

  • truth value of p is T

  • truth value of p is F 

  • p is both true and false

  • p is neither true nor false

MCQ
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उत्तर

p is neither true nor false

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Mathematical Logic - Miscellaneous Exercise 1 [पृष्ठ ३०]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
पाठ 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 1.12 | पृष्ठ ३०

संबंधित प्रश्‍न

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

It rains heavily.


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

∃ x ∈ A such that x – 8 = 1


Which of the following sentence is the statement in logic? Justify. Write down the truth value of the statement:

π is an irrational number.


`sqrt5` is an irrational but `3sqrt5` is a complex number.


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

Did you eat lunch yet?


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

With the sunset the day ends.


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

3 + 5 > 11


Choose the correct alternative :

Negation of the statement “This is false or That is true” is


State whether the following statement is True or False :

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


Solve the following :

State which of the following sentences are statements in logic.
Do not come inside the room.


Solve the following :

State which of the following sentences are statements in logic.
What a horrible sight it was!


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

The Himalayas is the highest mountain range.


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

The quadratic equation ax2 + bx + c = 0 (a ≠ 0) always has two real roots.


Assuming the following statement.
p : Stock prices are high.
q : Stocks are rising.
to be true, find the truth value of the following.

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


Assuming the following statement.
p : Stock prices are high.
q : Stocks are rising.
to be true, find the truth value of the following.

If stock prices are high then stocks are not rising.


Assuming the following statement.
p : Stock prices are high.
q : Stocks are rising.
to be true, find the truth value of the following.

It is false that stocks are rising and stock prices are high.


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

(p ∧ q) → ∼ p.


Which of the following statement is true


State the truth value of (p ˅ ∼p)


Choose the correct alternative :

Which of the following is not a statement?


The dual of the statement (p ˅ q) ˄ (r ˅ s) is ______.


State whether the following statement is True or False:

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


State whether the following statement is True or False:

(p ˅ q) ˄ ~ p is a contradiction


State whether the following statement is True or False:

p ↔ q is false when p and q have different truth values


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


If (p ∧ ~ q) → ~ p is false, the truth values of p and q are respectively.


If p : Every square is a rectangle. q : Every rhombus is a kite, then truth values of p `rightarrow` q and p `leftrightarrow` q are ______ and ______ respectively.


The position vector of points A and B are `6bar(a) + 2bar(b) and bar(a) -3bar(b)` . If the point C divides AB in the ratio 3 : 2 then show that the position vector of C is 3`bar(a)- bar(b)`.


Find the truth value of the following compound statement:

5 + 4 = 9 and 6 × 3 = 12


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