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Solve the following : State which of the following sentences are statements in logic.Why are you sad? - Mathematics and Statistics

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प्रश्न

Solve the following :

State which of the following sentences are statements in logic.
Why are you sad?

विकल्प

  • Is a statement

  • Is not a statement

MCQ
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उत्तर

Is not a statement

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अध्याय 1: Mathematical Logic - Miscellaneous Exercise 1 [पृष्ठ ३१]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
अध्याय 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.01 | पृष्ठ ३१

संबंधित प्रश्न

Write the following statement in symbolic form and find its truth value:
∀ n ∈ N, n2 + n is an even number and n2 - n is an odd number.


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.

x – 3 = 14


Write the truth values of the following.

4 is odd or 1 is prime.


Write the truth values of the following.

64 is a perfect square and 46 is a prime number.


Write the truth value of the following.

If 3 × 5 = 8 then 3 + 5 = 15.


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


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

cos2θ − sin2θ = cos2θ for all θ∈R.


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

If x is a whole number then x + 6 = 0.


Write the truth value of the following statement:

The square of any even number is odd or the cube of any odd number is odd.


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

Please grant me a loan.


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

1 is a prime number.


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

The number π 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.

Give me a compass box.


If p and q are two statements then (p → q) ↔ (∼ q → ∼ p) is ______.


State whether the following statement is True or False :

Dual of (p ∧ ∼ q) ∨ t is (p ∨ ∼ q) ∨ C.


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 :

Truth value of `sqrt(5)` is not an irrational number is T.


Solve the following :

State which of the following sentences are statements in logic.
Ice cream Sundaes are my favourite.


Solve the following :

State which of the following sentences are statements in logic.
Read a lot to improve your writing skill.


Solve the following :

State which of the following sentences are statements in logic.
If x is real number then x2 ≥ 0.


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.


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

∼ [(p → q) ↔ (p ∧ ∼ q)]


State the truth value of (p ˄ ∼p) 


If statements p, q are true and r, s are false, determine the truth values of the following.

~ p ∧ (q ∨ ~ r)


State whether the following statement is True or False:

Mathematical identities are true statements


Using truth table prove that:

`p → (q ∨ r) ≡ (p → q) ∨ (p → r)`


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