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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 685 · 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 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
  3. 3.Rule: If the plant gets water, then the plant stays green. Fact: The plant stays green. What can you say about “The plant does not get water”? (a) must be true (b) must be false (c) can't tell
  4. 4.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
  5. 5.Rule: If the bell rings, then the class starts. Fact: The class starts. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If the shop is open, then Omkar buys milk. Fact: Omkar 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
  7. 7.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
  8. 8.Rule: If the shop is open, then Tara buys milk. Fact: The shop is not open. What can you say about “Tara buys milk”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If the shop is open, then Ananya buys milk. Fact: The shop is not open. What can you say about “Ananya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If Rahul wins the match, then Rahul gets a medal. Fact: Rahul gets a medal. What can you say about “Rahul does not win the match”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If the bell rings, then the class starts. Fact: The bell rings. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If it rains, then the road gets wet. Fact: It does not rain. What can you say about “The road gets wet”? (a) must be true (b) must be false (c) can't tell
  13. 13.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
  14. 14.Rule: If Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya goes to the park. What can you say about “Aditya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If Kavya scores above 90, then Kavya gets a gold star. Fact: Kavya gets a gold star. What can you say about “Kavya scores above 90”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If Riya wins the match, then Riya gets a medal. Fact: Riya does not get a medal. What can you say about “Riya wins the match”? (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 stop”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If Yash scores above 90, then Yash gets a gold star. Fact: Yash gets a gold star. What can you say about “Yash scores above 90”? (a) must be true (b) must be false (c) can't tell
  19. 19.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 stays green”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If the bell rings, then the class starts. Fact: The class starts. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
  21. 21.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
  22. 22.Rule: If Kabir finishes the homework, then Kabir goes to the park. Fact: Kabir does not finish the homework. What can you say about “Kabir does not go to the park”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If Arjun wins the match, then Arjun gets a medal. Fact: Arjun wins the match. What can you say about “Arjun gets a medal”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If Tara scores above 90, then Tara gets a gold star. Fact: Tara scores above 90. What can you say about “Tara gets a gold star”? (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: 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
  26. 26.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 not red”? (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 not 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 Tara scores above 90, then Tara gets a gold star. Fact: Tara gets a gold star. What can you say about “Tara scores above 90”? (a) must be true (b) must be false (c) can't tell
  29. 29.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
  30. 30.Rule: If the plant gets water, then the plant stays green. Fact: The plant gets water. What can you say about “The plant does not stay green”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Vivaan scores above 90, then Vivaan gets a gold star. Fact: Vivaan does not score above 90. What can you say about “Vivaan does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If Tara finishes the homework, then Tara goes to the park. Fact: Tara does not finish the homework. What can you say about “Tara goes to the park”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If Kabir finishes the homework, then Kabir goes to the park. Fact: Kabir finishes the homework. What can you say about “Kabir goes to the park”? (a) must be true (b) must be false (c) can't tell
  34. 34.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
  35. 35.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar does not finish the homework. What can you say about “Omkar goes to the park”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Ira finishes the homework, then Ira goes to the park. Fact: Ira goes to the park. What can you say about “Ira finishes the homework”? (a) must be true (b) must be false (c) can't tell
  37. 37.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
  38. 38.Rule: If the shop is open, then Ishaan buys milk. Fact: The shop is not open. What can you say about “Ishaan buys milk”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Rahul scores above 90, then Rahul gets a gold star. Fact: Rahul does not get a gold star. What can you say about “Rahul scores above 90”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If Zoya wins the match, then Zoya gets a medal. Fact: Zoya gets a medal. What can you say about “Zoya 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. can't tell
  6. must be false
  7. must be true
  8. can't tell
  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. can't tell
  16. must be false
  17. must be true
  18. can't tell
  19. can't tell
  20. can't tell
  21. must be true
  22. can't tell
  23. must be true
  24. must be true
  25. must be false
  26. must be true
  27. can't tell
  28. can't tell
  29. must be false
  30. must be false
  31. can't tell
  32. can't tell
  33. must be true
  34. must be false
  35. can't tell
  36. can't tell
  37. must be true
  38. can't tell
  39. must be false
  40. can't tell

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