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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 377 · 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 Zoya finishes the homework, then Zoya goes to the park. Fact: Zoya goes to the park. What can you say about “Zoya does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If the shop is open, then Kavya buys milk. Fact: Kavya buys milk. What can you say about “The shop is not open”? (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 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 Diya finishes the homework, then Diya goes to the park. Fact: Diya finishes the homework. What can you say about “Diya goes to the park”? (a) must be true (b) must be false (c) can't tell
  5. 5.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
  6. 6.Rule: If the shop is open, then Karan buys milk. Fact: The shop is not open. What can you say about “Karan buys milk”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If it rains, then the road gets wet. Fact: The road does not get wet. What can you say about “It does not rain”? (a) must be true (b) must be false (c) can't tell
  8. 8.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
  9. 9.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
  10. 10.Rule: If Meera scores above 90, then Meera gets a gold star. Fact: Meera gets a gold star. What can you say about “Meera scores above 90”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If it is Sunday, then the school is closed. Fact: It is not Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If Dev scores above 90, then Dev gets a gold star. Fact: Dev does not score above 90. What can you say about “Dev gets a gold star”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If the shop is open, then Rahul buys milk. Fact: Rahul 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
  14. 14.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
  15. 15.Rule: If Arjun scores above 90, then Arjun gets a gold star. Fact: Arjun does not get a gold star. What can you say about “Arjun does not score above 90”? (a) must be true (b) must be false (c) can't tell
  16. 16.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
  17. 17.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is red. What can you say about “The cars do not stop”? (a) must be true (b) must be false (c) can't tell
  18. 18.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
  19. 19.Rule: If Myra finishes the homework, then Myra goes to the park. Fact: Myra finishes the homework. What can you say about “Myra does not go to the park”? (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 gets water”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If Riya scores above 90, then Riya gets a gold star. Fact: Riya does not score above 90. What can you say about “Riya gets a gold star”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If the shop is open, then Farhan buys milk. Fact: Farhan 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
  23. 23.Rule: If Diya wins the match, then Diya gets a medal. Fact: Diya does not win the match. What can you say about “Diya does not get a medal”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If Dev scores above 90, then Dev gets a gold star. Fact: Dev does not score above 90. What can you say about “Dev does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  25. 25.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
  26. 26.Rule: If Rahul scores above 90, then Rahul gets a gold star. Fact: Rahul does not score above 90. What can you say about “Rahul gets a gold star”? (a) must be true (b) must be false (c) can't tell
  27. 27.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
  28. 28.Rule: If the plant gets water, then the plant stays green. Fact: The plant does not get water. What can you say about “The plant does not stay green”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If the shop is open, then Farhan buys milk. Fact: The shop is not open. What can you say about “Farhan buys milk”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If Pooja scores above 90, then Pooja gets a gold star. Fact: Pooja scores above 90. What can you say about “Pooja gets a gold star”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If the shop is open, then Riya buys milk. Fact: Riya buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If the shop is open, then Aisha buys milk. Fact: The shop is open. What can you say about “Aisha does not buy milk”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If Diya finishes the homework, then Diya goes to the park. Fact: Diya does not go to the park. What can you say about “Diya does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If it is Sunday, then the school is closed. Fact: The school is not closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.Rule: If it rains, then the road gets wet. Fact: The road does not get wet. What can you say about “It rains”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If Rahul finishes the homework, then Rahul goes to the park. Fact: Rahul does not go to the park. What can you say about “Rahul finishes the homework”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If the shop is open, then Pooja buys milk. Fact: Pooja 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
  39. 39.Rule: If Karan wins the match, then Karan gets a medal. Fact: Karan wins the match. What can you say about “Karan does not get a medal”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If Kavya wins the match, then Kavya gets a medal. Fact: Kavya does not get 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

Answer key

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

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