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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 10 · 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 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
  2. 2.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
  3. 3.Rule: If Rahul finishes the homework, then Rahul goes to the park. Fact: Rahul does not finish the homework. What can you say about “Rahul does not go to the park”? (a) must be true (b) must be false (c) can't tell
  4. 4.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
  5. 5.Rule: If it rains, then the road gets wet. Fact: The road gets wet. What can you say about “It rains”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If the shop is open, then Arjun buys milk. Fact: Arjun buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If the shop is open, then Omkar buys milk. Fact: Omkar buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If Manav scores above 90, then Manav gets a gold star. Fact: Manav does not score above 90. What can you say about “Manav does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  9. 9.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
  10. 10.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
  11. 11.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
  12. 12.Rule: If Kavya scores above 90, then Kavya gets a gold star. Fact: Kavya does not score above 90. What can you say about “Kavya 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 Ira buys milk. Fact: Ira buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If Aisha wins the match, then Aisha gets a medal. Fact: Aisha wins the match. What can you say about “Aisha does not get a medal”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If the shop is open, then Aarav buys milk. Fact: Aarav 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
  16. 16.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
  17. 17.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
  18. 18.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
  19. 19.Rule: If the shop is open, then Karan buys milk. Fact: Karan buys milk. What can you say about “The shop is not open”? (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 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
  21. 21.Rule: If the shop is open, then Farhan buys milk. Fact: Farhan 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
  22. 22.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
  23. 23.Rule: If the shop is open, then Riya buys milk. Fact: The shop is open. What can you say about “Riya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  24. 24.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
  25. 25.Rule: If the shop is open, then Aarav buys milk. Fact: The shop is not open. What can you say about “Aarav buys milk”? (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 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
  27. 27.Rule: If the shop is open, then Saanvi buys milk. Fact: Saanvi buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If Omkar scores above 90, then Omkar gets a gold star. Fact: Omkar gets a gold star. What can you say about “Omkar does not score above 90”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If Tara scores above 90, then Tara gets a gold star. Fact: Tara gets a gold star. What can you say about “Tara does not score above 90”? (a) must be true (b) must be false (c) can't tell
  30. 30.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
  31. 31.Rule: If Ishaan finishes the homework, then Ishaan goes to the park. Fact: Ishaan does not go to the park. What can you say about “Ishaan does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If Saanvi finishes the homework, then Saanvi goes to the park. Fact: Saanvi finishes the homework. What can you say about “Saanvi goes to the park”? (a) must be true (b) must be false (c) can't tell
  33. 33.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
  34. 34.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
  35. 35.Rule: If Aisha wins the match, then Aisha gets a medal. Fact: Aisha wins the match. What can you say about “Aisha gets a medal”? (a) must be true (b) must be false (c) can't tell
  36. 36.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
  37. 37.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
  38. 38.Rule: If Kabir wins the match, then Kabir gets a medal. Fact: Kabir does not get a medal. What can you say about “Kabir wins the match”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Meera wins the match, then Meera gets a medal. Fact: Meera wins the match. What can you say about “Meera gets a medal”? (a) must be true (b) must be false (c) can't tell
  40. 40.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

Answer key

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

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