Implication and Double Implications MCQ

Test your knowledge with important Implication and Double Implications MCQ and their applications. These MCQs are beneficial for competitive exams too. Explore 30 + more Implication and Double Implications MCQs at Bissoy

• Let P, Q, R be true, false, false, respectively, which of the following is true?
  ক

  P∧(Q∧~R)

  খ

  (P->Q)∧~R

  গ

  Q<->(P∧R)

  ঘ

  P<->(QvR)
• The statement (~P<->Q)∧~Q is true when?
  ক

  P: True Q: False

  খ

  P: True Q: True

  গ

  P: False Q: True

  ঘ

  P: False Q: False
• Consider the following statements. A: Raju should exercise. B: Raju is not a decent table tennis player. C: Raju wants to play good table tennis. The symbolic form of “Raju is not a decent table tennis player and if he wants to play good table tennis then he should exercise.” is?
  ক

  A->B->C

  খ

  B∧(C->A)

  গ

  C->B∧A

  ঘ

  B<->A∧C
• “Match will be played only if it is not a humid day.” The negation of this statement is?
  ক

  Match will be played but it is a humid day

  খ

  Match will be played or it is a humid day

  গ

  All of the mentioned statement are correct

  ঘ

  None of the mentioned
• Let P, Q, R be true, false true, respectively, which of the following is true?
  ক

  P∧Q∧R

  খ

  P∧~Q∧~R

  গ

  Q->(P∧R)

  ঘ

  P->(Q∧R)
• Let P: We give a nice overall squad performance, Q: We will win the match. Then the symbolic form of “We will win the match if and only if we give a nice overall squad performance.“ is?
  ক

  P v Q

  খ

  Q ∧ P

  গ

  Q<->P

  ঘ

  ~P v Q
• The statement which is logically equivalent to A∧ (and) B is?
  ক

  A->B

  খ

  ~A ∧ ~ B
• The compound statement A-> (A->B) is false, then the truth values of A, B are respectively _________
  ক

  T, T

  খ

  F, T

  গ

  T, F

  ঘ

  F, F
• What is the negation of the statement A->(B v(or) C)?
  ক

  A ∧ ~B ∧ ~C

  খ

  A->B->C

  গ

  ~A ∧ B v C

  ঘ

  None of the mentioned
• Let P and Q be statements, then P<->Q is logically equivalent to __________
  ক

  P<->~Q

  খ

  ~P<->Q

  গ

  ~P<->~Q

  ঘ

  None of the mentioned