Chapter 29

Which of the following is not a statement? (A) Give me a glass of water. (B) Asia is a continent. (C) The earth revolves round the sun. (D) The number 6 has two prime factors 2,3 .

Which of the following is not a statement? (A) Every set is a finite set. (B) 8 is less then 6 . (C) Where are you going? (D) The sum of interior angles of a triangle is 180 degrees.

Which of the following is not a statement? (A) Roses are red. (B) New Delhi is in India. (C) Every square is a rectangle. (D) Alas! I have failed.

Which of the following is a statement? (A) Open the door. (B) Do your homework. (C) Switch on the fan. (D) Two plus two is four.

Which of the following is a statement? (A) May you live long! (B) May God bless you! (C) The sun is a star. (D) Hurrah! We have won the match.

Which of the following is not a statement? (A) Please do me a favour. (B) 2 is an even integer. (C) \(2+1=3\). (D) The number 17 is prime.

Negation of "Paris is in France and London is in England" is (A) Paris is in England and London is in France. (B) Paris is not in France or London is not in England.

Negation of \(^{4} 2+3=5\) and \(8<10^{\prime \prime}\) is (A) \(2+3 \neq 5\) and \(8<10\) (B) \(2+3=5\) and \(8<10\) (C) \(2+3 \neq 5\) or \(8<10\) (D) None of these

Negation of the conditional: "If it rains, I shall go to school" is (A) It rains and I shall go to school. (B) It rain and I shall not go to school. (C) It does not rain and I shall go to school. (D) None of these

Negation of "Manu is in class \(\mathrm{X}\) or Anu is in class XII" is (A) Manu is not in class X but Anu is in class XII. (B) Manu is not is class \(\mathrm{X}\) but Anu is not in class XII. (C) Either Manu is not in class \(\mathrm{X}\) or Anu is not is class XII. (D) None of these

Truth value of the statement "if \(p\) then \(q\) " is false when (A) \(p\) is true, \(q\) is true (B) \(p\) is true, \(q\) is false (C) \(p\) is false, \(q\) is true (D) \(p\) is false, \(q\) is false

Truth value of the statement " \(p\) or \(q\) " is false, when (A) \(p\) is true, \(q\) is false (B) \(p\) is false, \(q\) is true (C) \(p\) and \(q\) both are true (D) \(p\) and \(q\) both are false

Truth value of the statement with "if and only if" is false, when (A) \(p\) is true, \(q\) is true (B) \(p\) is false, \(q\) is false (C) \(p\) is true, \(q\) is false (D) \(p\) is false, \(q\) is true

$$ \begin{aligned} &\text { The Boolean Expression }(p \wedge \sim q) \vee q \vee(\sim p \wedge q) \text { is } \quad \text { (A) } p \vee \sim q \quad \text { (B) } \sim p \wedge q\\\ &\text { equivalent to } \quad[\mathbf{2 0 1 6}] \quad \text { (C) } p \wedge q \quad \text { (D) } p \vee q \end{aligned} $$