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

State whether the following statement is True or False : x2 = 25 is true statement. - Mathematics and Statistics

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प्रश्न

State whether the following statement is True or False :

x2 = 25 is true statement.

पर्याय

  • True

  • False

MCQ
चूक किंवा बरोबर
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उत्तर

False.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Mathematical Logic - Miscellaneous Exercise 1 [पृष्ठ ३१]

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.

Close the door.


Write the truth values of the following.

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


Write the truth values of the following.

5 is a prime number and 7 divides 94.


If A = {1, 2, 3, 4, 5} then which of the following is not true?


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

India is a country and Himalayas is a river.


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.


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

The sum of interior angles of a triangle is 180°


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

Every real number 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.

1 ! = 0


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.

The number 2 is the only even prime number.


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

Bring the motor car here.


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 :

Conditional p → q is equivalent to


Fill in the blanks :

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


If p ∨ q is true then truth value of ∼ p ∨ ∼ q is ______.


Fill in the blanks :

Let p : the problem is easy. r : It is not challenging then verbal form of ∼ p → r is –––––––––.


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.
(2 + 1)2 = 9.


If A = {2, 3, 4, 5, 6, 7, 8}, determine the truth value of the following statement.

∃ x ∈ A, such that x + 3 < 11.


State the truth Value of x2 = 25


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

~ p ∧ (q ∨ ~ r)


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

(p ∧ ~r) ∧ (~q ∨ s)


State whether the following statement is True or False:

(p ˅ q) ˄ ~ p is a contradiction


Without using truth table show that

(p ∨ q) ∧ (~ p ∨ ~ q) ≡ (p ∧ ~ q) ∨ ( ~ p ∧ q)


Which of the following quantified statement is true?


The negation of 'For every real number x, `x^2 ≥ 0`' is ______ 


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