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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 598 · 40 questions
TalentJR

How to think it through (Two sure moves): The “if” part happened → the “then” part must be true. The “then” part did not happen → the “if” part must be false. The “then” part happened, or the “if” part did not happen → we can’t tell.

NameDateTime takenScore ___ / 40
  1. 1.Rule: If it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If the bell rings, then the class starts. Fact: The class does not start. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If the traffic light is red, then the cars stop. Fact: The cars do not stop. What can you say about “The traffic light is red”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If Isha wins the match, then Isha gets a medal. Fact: Isha gets a medal. What can you say about “Isha wins the match”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If Neel wins the match, then Neel gets a medal. Fact: Neel does not win the match. What can you say about “Neel does not get a medal”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If the traffic light is red, then the cars stop. Fact: The cars stop. What can you say about “The traffic light is not red”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If Isha finishes the homework, then Isha goes to the park. Fact: Isha finishes the homework. What can you say about “Isha goes to the park”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If Kavya wins the match, then Kavya gets a medal. Fact: Kavya gets a medal. What can you say about “Kavya does not win the match”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is not red. What can you say about “The cars do not stop”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If Riya wins the match, then Riya gets a medal. Fact: Riya wins the match. What can you say about “Riya gets a medal”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If the shop is open, then Neel buys milk. Fact: Neel buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If Rohan scores above 90, then Rohan gets a gold star. Fact: Rohan scores above 90. What can you say about “Rohan does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If Aarav scores above 90, then Aarav gets a gold star. Fact: Aarav gets a gold star. What can you say about “Aarav does not score above 90”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If Ishaan scores above 90, then Ishaan gets a gold star. Fact: Ishaan does not get a gold star. What can you say about “Ishaan does not score above 90”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If the bell rings, then the class starts. Fact: The bell does not ring. What can you say about “The class does not start”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If it is Sunday, then the school is closed. Fact: The school is not closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If the shop is open, then Zoya buys milk. Fact: Zoya does not buy milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If the shop is open, then Nisha buys milk. Fact: The shop is open. What can you say about “Nisha does not buy milk”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If the plant gets water, then the plant stays green. Fact: The plant does not stay green. What can you say about “The plant does not get water”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If the traffic light is red, then the cars stop. Fact: The cars stop. What can you say about “The traffic light is red”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If the plant gets water, then the plant stays green. Fact: The plant gets water. What can you say about “The plant stays green”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If Aarav scores above 90, then Aarav gets a gold star. Fact: Aarav does not score above 90. What can you say about “Aarav does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If Siddharth wins the match, then Siddharth gets a medal. Fact: Siddharth does not win the match. What can you say about “Siddharth does not get a medal”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If it is Sunday, then the school is closed. Fact: It is Sunday. What can you say about “The school is not closed”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If Pooja scores above 90, then Pooja gets a gold star. Fact: Pooja gets a gold star. What can you say about “Pooja does not score above 90”? (a) must be true (b) must be false (c) can't tell
  27. 27.Rule: If the bell rings, then the class starts. Fact: The bell rings. What can you say about “The class does not start”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If it is Sunday, then the school is closed. Fact: It is Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If it rains, then the road gets wet. Fact: It rains. What can you say about “The road gets wet”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If Dev finishes the homework, then Dev goes to the park. Fact: Dev finishes the homework. What can you say about “Dev does not go to the park”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If the bell rings, then the class starts. Fact: The class does not start. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If Pooja scores above 90, then Pooja gets a gold star. Fact: Pooja scores above 90. What can you say about “Pooja does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If Zoya finishes the homework, then Zoya goes to the park. Fact: Zoya finishes the homework. What can you say about “Zoya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If Rohan finishes the homework, then Rohan goes to the park. Fact: Rohan does not go to the park. What can you say about “Rohan does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Aarav finishes the homework, then Aarav goes to the park. Fact: Aarav does not go to the park. What can you say about “Aarav finishes the homework”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If it rains, then the road gets wet. Fact: It rains. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If Riya finishes the homework, then Riya goes to the park. Fact: Riya finishes the homework. What can you say about “Riya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Farhan wins the match, then Farhan gets a medal. Fact: Farhan does not get a medal. What can you say about “Farhan wins the match”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If the shop is open, then Siddharth buys milk. Fact: Siddharth does not buy milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell

Answer key

  1. can't tell
  2. must be true
  3. must be false
  4. can't tell
  5. can't tell
  6. can't tell
  7. can't tell
  8. must be true
  9. can't tell
  10. can't tell
  11. must be true
  12. can't tell
  13. must be false
  14. can't tell
  15. must be true
  16. can't tell
  17. must be true
  18. must be true
  19. must be false
  20. must be true
  21. can't tell
  22. must be true
  23. can't tell
  24. can't tell
  25. must be false
  26. can't tell
  27. must be false
  28. must be true
  29. must be true
  30. must be false
  31. must be true
  32. must be false
  33. must be false
  34. must be false
  35. must be true
  36. must be false
  37. must be false
  38. must be false
  39. must be false
  40. must be false

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