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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 188 · 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 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
  2. 2.Rule: If Aisha finishes the homework, then Aisha goes to the park. Fact: Aisha goes to the park. What can you say about “Aisha does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If Manav finishes the homework, then Manav goes to the park. Fact: Manav finishes the homework. What can you say about “Manav goes to the park”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If Kabir scores above 90, then Kabir gets a gold star. Fact: Kabir scores above 90. What can you say about “Kabir does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  5. 5.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
  6. 6.Rule: If Yash finishes the homework, then Yash goes to the park. Fact: Yash does not finish the homework. What can you say about “Yash goes to the park”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If Meera scores above 90, then Meera gets a gold star. Fact: Meera scores above 90. What can you say about “Meera gets a gold star”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If Dev finishes the homework, then Dev goes to the park. Fact: Dev does not finish 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
  9. 9.Rule: If Aarav finishes the homework, then Aarav goes to the park. Fact: Aarav does not finish the homework. What can you say about “Aarav goes to the park”? (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 stop. What can you say about “The traffic light is red”? (a) must be true (b) must be false (c) can't tell
  11. 11.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
  12. 12.Rule: If Ira scores above 90, then Ira gets a gold star. Fact: Ira scores above 90. What can you say about “Ira gets a gold star”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If Meera wins the match, then Meera gets a medal. Fact: Meera does not win the match. What can you say about “Meera gets a medal”? (a) must be true (b) must be false (c) can't tell
  14. 14.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
  15. 15.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
  16. 16.Rule: If the shop is open, then Yash buys milk. Fact: Yash buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If Karan wins the match, then Karan gets a medal. Fact: Karan wins the match. What can you say about “Karan gets a medal”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If Ira finishes the homework, then Ira goes to the park. Fact: Ira finishes the homework. What can you say about “Ira goes to the park”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If Rohan finishes the homework, then Rohan goes to the park. Fact: Rohan goes 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
  20. 20.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
  21. 21.Rule: If Omkar scores above 90, then Omkar gets a gold star. Fact: Omkar does not score above 90. What can you say about “Omkar gets a gold star”? (a) must be true (b) must be false (c) can't tell
  22. 22.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
  23. 23.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
  24. 24.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
  25. 25.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
  26. 26.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
  27. 27.Rule: If it is Sunday, then the school is closed. Fact: It is not Sunday. What can you say about “The school is not closed”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If Aarav scores above 90, then Aarav gets a gold star. Fact: Aarav scores above 90. What can you say about “Aarav gets a gold star”? (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 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
  30. 30.Rule: If Manav finishes the homework, then Manav goes to the park. Fact: Manav does not finish the homework. What can you say about “Manav goes to the park”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Dev wins the match, then Dev gets a medal. Fact: Dev gets a medal. What can you say about “Dev does not win the match”? (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 starts. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If Ishaan scores above 90, then Ishaan gets a gold star. Fact: Ishaan does not score above 90. What can you say about “Ishaan gets a gold star”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If Tara finishes the homework, then Tara goes to the park. Fact: Tara goes to the park. What can you say about “Tara finishes the homework”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.Rule: If the plant gets water, then the plant stays green. Fact: The plant stays 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 Manav wins the match, then Manav gets a medal. Fact: Manav wins the match. What can you say about “Manav gets a medal”? (a) must be true (b) must be false (c) can't tell
  38. 38.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
  39. 39.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 does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If the shop is open, then Tara buys milk. Fact: Tara 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. must be true
  2. can't tell
  3. must be true
  4. must be false
  5. must be true
  6. can't tell
  7. must be true
  8. can't tell
  9. can't tell
  10. can't tell
  11. must be false
  12. must be true
  13. can't tell
  14. must be true
  15. must be true
  16. can't tell
  17. must be true
  18. must be true
  19. can't tell
  20. must be false
  21. can't tell
  22. must be false
  23. must be true
  24. must be false
  25. must be true
  26. can't tell
  27. can't tell
  28. must be true
  29. must be false
  30. can't tell
  31. can't tell
  32. can't tell
  33. can't tell
  34. can't tell
  35. must be true
  36. can't tell
  37. must be true
  38. must be false
  39. can't tell
  40. must be false

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