Logical Connectives MCQs: Understanding logical connectors like “if-then”, “either-or”, etc.

  1. Logical Connective:
    Statement 1: If it rains, then the picnic will be canceled.
    Statement 2: It is raining.
    What can be inferred?

    A) The picnic will be canceled.
    B) The picnic will not be canceled.
    C) It is not raining.
    D) None of the above.

    Answer: A) The picnic will be canceled.

  2. Logical Connective:
    Statement 1: Either John or Mary will win the race.
    Statement 2: John won the race.
    What can be inferred?

    A) Mary won the race.
    B) John didn’t win the race.
    C) Both John and Mary won the race.
    D) None of the above.

    Answer: B) John didn’t win the race.

  3. Logical Connective:
    Statement 1: If it snows heavily, then schools will be closed.
    Statement 2: Schools are closed.
    What can be inferred?

    A) It is snowing heavily.
    B) Schools are open.
    C) It is not snowing.
    D) None of the above.

    Answer: A) It is snowing heavily.

  4. Logical Connective:
    Statement 1: If the restaurant is crowded, then there will be a long wait for a table.
    Statement 2: There is a long wait for a table.
    What can be inferred?

    A) The restaurant is crowded.
    B) The restaurant is not crowded.
    C) There is no wait for a table.
    D) None of the above.

    Answer: A) The restaurant is crowded.

  5. Logical Connective:
    Statement 1: Either the team will win the match, or they will lose.
    Statement 2: The team won the match.
    What can be inferred?

    A) The team lost.
    B) The team didn’t play.
    C) The team drew the match.
    D) None of the above.

    Answer: D) None of the above.

  6. Logical Connective:
    Statement 1: If Sarah studies hard, then she will pass the exam.
    Statement 2: Sarah failed the exam.
    What can be inferred?

    A) Sarah didn’t study hard.
    B) Sarah studied hard.
    C) Sarah didn’t take the exam.
    D) None of the above.

    Answer: A) Sarah didn’t study hard.

  7. Logical Connective:
    Statement 1: Either it is sunny, or it is raining.
    Statement 2: It is raining.
    What can be inferred?

    A) It is sunny.
    B) It is not sunny.
    C) It is not raining.
    D) None of the above.

    Answer: B) It is not sunny.

  8. Logical Connective:
    Statement 1: If the bus is late, then Maria will be late for work.
    Statement 2: Maria is late for work.
    What can be inferred?

    A) The bus is not late.
    B) Maria is not late for work.
    C) The bus is late.
    D) None of the above.

    Answer: C) The bus is late.

  9. Logical Connective:
    Statement 1: Either the store is closed, or it is closing soon.
    Statement 2: The store is closing soon.
    What can be inferred?

    A) The store is closed.
    B) The store is not closing soon.
    C) The store is open.
    D) None of the above.

    Answer: C) The store is open.

  10. Logical Connective:
    Statement 1: If Jack doesn’t wake up early, he will miss the train.
    Statement 2: Jack missed the train.
    What can be inferred?

    A) Jack woke up early.
    B) Jack didn’t wake up early.
    C) Jack didn’t miss the train.
    D) None of the above.

    Answer: B) Jack didn’t wake up early.

  11. Logical Connective:
    Statement 1: Either the movie is good, or it is boring.
    Statement 2: The movie is boring.
    What can be inferred?

    A) The movie is good.
    B) The movie is not boring.
    C) The movie is interesting.
    D) None of the above.

    Answer: A) The movie is good.

  12. Logical Connective:
    Statement 1: If Tom doesn’t finish his project, he will not get a promotion.
    Statement 2: Tom got a promotion.
    What can be inferred?

    A) Tom finished his project.
    B) Tom didn’t get a promotion.
    C) Tom didn’t finish his project.
    D) None of the above.

    Answer: A) Tom finished his project.

  13. Logical Connective:
    Statement 1: Either Mary will cook dinner, or John will order takeout.
    Statement 2: Mary cooked dinner.
    What can be inferred?

    A) John ordered takeout.
    B) Mary didn’t cook dinner.
    C) John cooked dinner.
    D) None of the above.

    Answer: D) None of the above.

  14. Logical Connective:
    Statement 1: If it is hot, then I will go swimming.
    Statement 2: I am going swimming.
    What can be inferred?

    A) It is hot.
    B) It is not hot.
    C) I am not going swimming.
    D) None of the above.

    Answer: A) It is hot.

  15. Logical Connective:
    Statement 1: Either the train is late, or I missed it.
    Statement 2: I missed the train.
    What can be inferred?

    A) The train was late.
    B) I caught the train.
    C) I didn’t miss the train.
    D) None of the above.

    Answer: A) The train was late.

  16. Logical Connective:
    Statement 1: If the cake is not sweet, then I won’t eat it.
    Statement 2: I ate the cake.
    What can be inferred?

    A) The cake was sweet.
    B) The cake was not sweet.
    C) I didn’t eat the cake.
    D) None of the above.

    Answer: A) The cake was sweet.

  17. Logical Connective:
    Statement 1: Either the store is closed, or it is closing soon.
    Statement 2: The store is closed.
    What can be inferred?

    A) The store is not closing soon.
    B) The store is open.
    C) The store is closing soon.
    D) None of the above.

    Answer: B) The store is open.

  18. Logical Connective:
    Statement 1: If I am late, then I will miss the bus.
    Statement 2: I missed the bus.
    What can be inferred?

    A) I am late.
    B) I am not late.
    C) I caught the bus.
    D) None of the above.

    Answer: A) I am late.

  19. Logical Connective:
    Statement 1: Either the team will win, or they will draw.
    Statement 2: The team lost.
    What can be inferred?

    A) The team won.
    B) The team drew.
    C) The team didn’t play.
    D) None of the above.

    Answer: D) None of the above.

  20. Logical Connective:
    Statement 1: If the phone rings, then answer it.
    Statement 2: The phone rang.
    What can be inferred?

    A) I didn’t answer the phone.
    B) I answered the phone.
    C) The phone didn’t ring.
    D) None of the above.

    Answer: B) I answered the phone.

  21. Logical Connective:
    Statement 1: Either John will finish the project, or Sarah will.
    Statement 2: John finished the project.
    What can be inferred?

    A) Sarah didn’t finish the project.
    B) Sarah finished the project.
    C) John didn’t finish the project.
    D) None of the above.

    Answer: B) Sarah finished the project.

  22. Logical Connective:
    Statement 1: If it is cold, then wear a jacket.
    Statement 2: I am wearing a jacket.
    What can be inferred?

    A) It is cold.
    B) It is not cold.
    C) I am not wearing a jacket.
    D) None of the above.

    Answer: A) It is cold.

  23. Logical Connective:
    Statement 1: Either the book is interesting, or it is boring.
    Statement 2: The book is not boring.
    What can be inferred?

    A) The book is interesting.
    B) The book is boring.
    C) The book is not interesting.
    D) None of the above.

    Answer: A) The book is interesting.

  24. Logical Connective:
    Statement 1: If Tom doesn’t call, then I will text him.
    Statement 2: I texted Tom.
    What can be inferred?

    A) Tom called.
    B) Tom didn’t call.
    C) Tom didn’t receive the text.
    D) None of the above.

    Answer: A) Tom called.

  25. Logical Connective:
    Statement 1: Either the party is fun, or it is boring.
    Statement 2: The party is fun.
    What can be inferred?

    A) The party is not boring.
    B) The party is boring.
    C) The party is not fun.
    D) None of the above.

    Answer: A) The party is not boring.

  26. Logical Connective:
    Statement 1: If it is hot, then I will go to the beach.
    Statement 2: I didn’t go to the beach.
    What can be inferred?

    A) It is hot.
    B) It is not hot.
    C) I went to the beach.
    D) None of the above.

    Answer: B) It is not hot.

  27. Logical Connective:
    Statement 1: Either Sarah will finish the project, or Tom will.
    Statement 2: Tom didn’t finish the project.
    What can be inferred?

    A) Sarah finished the project.
    B) Sarah didn’t finish the project.
    C) Tom finished the project.
    D) None of the above.

    Answer: B) Sarah didn’t finish the project.

  28. Logical Connective:
    Statement 1: If it is sunny, then the pool will be crowded.
    Statement 2: The pool is crowded.
    What can be inferred?

    A) It is sunny.
    B) It is not sunny.
    C) The pool is not crowded.
    D) None of the above.

    Answer: A) It is sunny.

  29. Logical Connective:
    Statement 1: Either Jack will arrive on time, or he will be late.
    Statement 2: Jack arrived on time.
    What can be inferred?

    A) Jack was late.
    B) Jack didn’t arrive on time.
    C) Jack didn’t arrive.
    D) None of the above.

    Answer: D) None of the above.

  30. Logical Connective:
    Statement 1: If it is cold, then wear a sweater.
    Statement 2: I am wearing a sweater.
    What can be inferred?

    A) It is cold.
    B) It is not cold.
    C) I am not wearing a sweater.
    D) None of the above.

    Answer: A) It is cold.

  31. Logical Connective:
    Statement 1: Either the movie is interesting, or it is boring.
    Statement 2: The movie is interesting.
    What can be inferred?

    A) The movie is not boring.
    B) The movie is boring.
    C) The movie is not interesting.
    D) None of the above.

    Answer: A) The movie is not boring.

  32. Logical Connective:
    Statement 1: If Mary doesn’t finish her work, then she will stay late.
    Statement 2: Mary stayed late.
    What can be inferred?

    A) Mary finished her work.
    B) Mary didn’t finish her work.
    C) Mary left early.
    D) None of the above.

    Answer: B) Mary didn’t finish her work.

  33. Logical Connective:
    Statement 1: Either it will snow, or it will rain.
    Statement 2: It is not snowing.
    What can be inferred?

    A) It is raining.
    B) It is not raining.
    C) It is snowing.
    D) None of the above.

    Answer: A) It is raining.

  34. Logical Connective:
    Statement 1: If the restaurant is busy, then there will be a wait for a table.
    Statement 2: There is a wait for a table.
    What can be inferred?

    A) The restaurant is not busy.
    B) There is no wait for a table.
    C) The restaurant is busy.
    D) None of the above.

    Answer: C) The restaurant is busy.

  35. Logical Connective:
    Statement 1: Either Sarah will win the game, or John will.
    Statement 2: Sarah won the game.
    What can be inferred?

    A) John won the game.
    B) Sarah didn’t win the game.
    C) John didn’t play the game.
    D) None of the above.

    Answer: D) None of the above.

  36. Logical Connective:
    Statement 1: If the train is delayed, then I will be late for work.
    Statement 2: I am late for work.
    What can be inferred?

    A) The train was delayed.
    B) The train was not delayed.
    C) I left early for work.
    D) None of the above.

    Answer: A) The train was delayed.

  37. Logical Connective:
    Statement 1: Either Jack will arrive on time, or he will be late.
    Statement 2: Jack was on time.
    What can be inferred?

    A) Jack was late.
    B) Jack didn’t arrive.
    C) Jack was early.
    D) None of the above.

    Answer: D) None of the above.

  38. Logical Connective:
    Statement 1: If it is sunny, then I will go for a walk.
    Statement 2: I didn’t go for a walk.
    What can be inferred?

    A) It is sunny.
    B) It is not sunny.
    C) I went for a walk.
    D) None of the above.

    Answer: B) It is not sunny.

  39. Logical Connective:
    Statement 1: Either the book is interesting, or it is boring.
    Statement 2: The book is interesting.
    What can be inferred?

    A) The book is not boring.
    B) The book is boring.
    C) The book is not interesting.
    D) None of the above.

    Answer: A) The book is not boring.

  40. Logical Connective:
    Statement 1: If the store is open, then I will buy groceries.
    Statement 2: I didn’t buy groceries.
    What can be inferred?

    A) The store is closed.
    B) The store is open.
    C) I bought groceries.
    D) None of the above.

    Answer: A) The store is closed.

  41. Logical Connective:
    Statement 1: Either Sarah will win the race, or Tom will.
    Statement 2: Sarah didn’t win the race.
    What can be inferred?

    A) Tom won the race.
    B) Sarah didn’t participate in the race.
    C) Tom didn’t win the race.
    D) None of the above.

    Answer: A) Tom won the race.

  42. Logical Connective:
    Statement 1: If it is cold, then wear a coat.
    Statement 2: I am not wearing a coat.
    What can be inferred?

    A) It is not cold.
    B) It is cold.
    C) I am wearing a coat.
    D) None of the above.

    Answer: A) It is not cold.

  43. Logical Connective:
    Statement 1: Either Jack will arrive late, or he won’t.
    Statement 2: Jack arrived late.
    What can be inferred?

    A) Jack didn’t arrive late.
    B) Jack didn’t arrive.
    C) Jack was on time.
    D) None of the above.

    Answer: A) Jack didn’t arrive late.

  44. Logical Connective:
    Statement 1: If it is sunny, then I will go for a run.
    Statement 2: I went for a run.
    What can be inferred?

    A) It is sunny.
    B) It is not sunny.
    C) I didn’t go for a run.
    D) None of the above.

    Answer: A) It is sunny.

  45. Logical Connective:
    Statement 1: Either the store is open, or it is closed.
    Statement 2: The store is closed.
    What can be inferred?

    A) The store is open.
    B) The store is not closed.
    C) The store is not open.
    D) None of the above.

    Answer: C) The store is not open.

  46. Logical Connective:
    Statement 1: If Mary doesn’t finish her homework, then she will stay up late.
    Statement 2: Mary stayed up late.
    What can be inferred?

    A) Mary finished her homework.
    B) Mary didn’t finish her homework.
    C) Mary went to bed early.
    D) None of the above.

    Answer: B) Mary didn’t finish her homework.

  47. Logical Connective:
    Statement 1: If it is cold, then wear a sweater.
    Statement 2: I am wearing a sweater.
    What can be inferred?

    A) It is cold.
    B) It is not cold.
    C) I am not wearing a sweater.
    D) None of the above.

    Answer: A) It is cold.

  48. Logical Connective:
    Statement 1: Either Sarah will win the competition, or John will.
    Statement 2: Sarah didn’t win the competition.
    What can be inferred?

    A) John won the competition.
    B) Sarah didn’t participate in the competition.
    C) John didn’t win the competition.
    D) None of the above.

    Answer: A) John won the competition.

  49. Logical Connective:
    Statement 1: If it is raining, then I will stay indoors.
    Statement 2: I am staying indoors.
    What can be inferred?

    A) It is raining.
    B) It is not raining.
    C) I am not staying indoors.
    D) None of the above.

    Answer: A) It is raining.

  50. Logical Connective:
    Statement 1: Either the store is open, or it is closed.
    Statement 2: The store is open.
    What can be inferred?

    A) The store is not closed.
    B) The store is closed.
    C) The store is not open.
    D) None of the above.

    Answer: D) None of the above.