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Solve the following : State which of the following sentences are statements in logic.Read a lot to improve your writing skill. - Mathematics and Statistics

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प्रश्न

Solve the following :

State which of the following sentences are statements in logic.
z is a positive number.

विकल्प

  • Is a statement

  • Is not a statement

MCQ

उत्तर

Is a statement

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

APPEARS IN

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

संबंधित प्रश्न

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


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

Please get me breakfast.


Write the truth values of the following.

24 is a composite number or 17 is a prime number.


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

∼ [(∼ p ∧ r) ∨ (s → ∼ q)] ↔ (p ∧ r)


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

Please get me a glass of water.


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


Write the truth value of the following statement:

∀ n ∈ N, n2 + n is even number while n2 – n is an odd number.


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.

Two co-planar lines are either parallel or intersecting.


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


Choose the correct alternative :

The statement (∼ p ∧ q) ∨∼ q is


Fill in the blanks :

The statement q → p is called as the ––––––––– of the statement p → q.


State whether the following statement is True or False :

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


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.

0! = 1


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 not high or stocks are rising.


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

∼ [(p → q) ↔ (p ∧ ∼ q)]


If the truth value of statement (q ∧ ~ r) → p is false (F), then the truth values of the statements p, q, rare respectively.


If p ↔ (~ p → q) is false, then the truth values of p and q are 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)`.


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