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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 36 · 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 Diya scores above 90, then Diya gets a gold star. Fact: Diya does not score above 90. What can you say about “Diya gets a gold star”? (a) must be true (b) must be false (c) can't tell
  2. 2.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
  3. 3.Rule: If the shop is open, then Priya buys milk. Fact: Priya 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
  4. 4.Rule: If the bell rings, then the class starts. Fact: The bell does not ring. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If Yash wins the match, then Yash gets a medal. Fact: Yash wins the match. What can you say about “Yash does not get a medal”? (a) must be true (b) must be false (c) can't tell
  6. 6.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
  7. 7.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
  8. 8.Rule: If Dev wins the match, then Dev gets a medal. Fact: Dev does not get 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
  9. 9.Rule: If Farhan scores above 90, then Farhan gets a gold star. Fact: Farhan scores above 90. What can you say about “Farhan gets a gold star”? (a) must be true (b) must be false (c) can't tell
  10. 10.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
  11. 11.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
  12. 12.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
  13. 13.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
  14. 14.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
  15. 15.Rule: If the shop is open, then Zoya buys milk. Fact: The shop is not open. What can you say about “Zoya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  16. 16.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 goes to the park”? (a) must be true (b) must be false (c) can't tell
  17. 17.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
  18. 18.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 does not go to the park”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If the shop is open, then Aisha buys milk. Fact: The shop is not open. What can you say about “Aisha buys milk”? (a) must be true (b) must be false (c) can't tell
  20. 20.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
  21. 21.Rule: If the shop is open, then Myra buys milk. Fact: Myra buys 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 Saanvi scores above 90, then Saanvi gets a gold star. Fact: Saanvi scores above 90. What can you say about “Saanvi does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun finishes the homework. What can you say about “Arjun does not go to the park”? (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 Saanvi wins the match, then Saanvi gets a medal. Fact: Saanvi gets a medal. What can you say about “Saanvi does not win the match”? (a) must be true (b) must be false (c) can't tell
  26. 26.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
  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 Aditya scores above 90, then Aditya gets a gold star. Fact: Aditya does not get a gold star. What can you say about “Aditya scores above 90”? (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 does not rain. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If Farhan scores above 90, then Farhan gets a gold star. Fact: Farhan scores above 90. What can you say about “Farhan does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Rohan wins the match, then Rohan gets a medal. Fact: Rohan does not win the match. What can you say about “Rohan gets a medal”? (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 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
  33. 33.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
  34. 34.Rule: If Saanvi wins the match, then Saanvi gets a medal. Fact: Saanvi does not get a medal. What can you say about “Saanvi does not win the match”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If Karan finishes the homework, then Karan goes to the park. Fact: Karan goes to the park. What can you say about “Karan does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Aditya wins the match, then Aditya gets a medal. Fact: Aditya does not get a medal. What can you say about “Aditya does not win the match”? (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 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
  39. 39.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
  40. 40.Rule: If Aarav wins the match, then Aarav gets a medal. Fact: Aarav gets a medal. What can you say about “Aarav 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. must be true
  4. can't tell
  5. must be false
  6. must be true
  7. must be false
  8. must be true
  9. must be true
  10. must be true
  11. must be true
  12. must be true
  13. must be false
  14. must be true
  15. can't tell
  16. can't tell
  17. must be false
  18. can't tell
  19. can't tell
  20. must be true
  21. can't tell
  22. must be false
  23. must be false
  24. must be false
  25. can't tell
  26. must be false
  27. must be true
  28. must be false
  29. can't tell
  30. must be false
  31. can't tell
  32. can't tell
  33. can't tell
  34. must be true
  35. can't tell
  36. must be true
  37. must be false
  38. can't tell
  39. must be false
  40. can't tell

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