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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 135 · 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 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
  2. 2.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
  3. 3.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
  4. 4.Rule: If Myra scores above 90, then Myra gets a gold star. Fact: Myra gets a gold star. What can you say about “Myra does not score above 90”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If the shop is open, then Omkar buys milk. Fact: The shop is open. What can you say about “Omkar does not buy milk”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If Karan finishes the homework, then Karan goes to the park. Fact: Karan does not finish the homework. What can you say about “Karan goes to the park”? (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: 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
  8. 8.Rule: If Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya does not finish the homework. What can you say about “Aditya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If Siddharth scores above 90, then Siddharth gets a gold star. Fact: Siddharth does not get a gold star. What can you say about “Siddharth does not score above 90”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If the shop is open, then Aarav buys milk. Fact: The shop is not open. What can you say about “Aarav does not buy milk”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If the shop is open, then Saanvi buys milk. Fact: Saanvi 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
  12. 12.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
  13. 13.Rule: If Saanvi scores above 90, then Saanvi gets a gold star. Fact: Saanvi does not score above 90. What can you say about “Saanvi gets a gold star”? (a) must be true (b) must be false (c) can't tell
  14. 14.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
  15. 15.Rule: If Ananya wins the match, then Ananya gets a medal. Fact: Ananya wins the match. What can you say about “Ananya gets a medal”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If Kabir wins the match, then Kabir gets a medal. Fact: Kabir gets a medal. What can you say about “Kabir wins the match”? (a) must be true (b) must be false (c) can't tell
  17. 17.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
  18. 18.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
  19. 19.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
  20. 20.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
  21. 21.Rule: If Riya finishes the homework, then Riya goes to the park. Fact: Riya goes to the park. What can you say about “Riya does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  22. 22.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
  23. 23.Rule: If Zoya wins the match, then Zoya gets a medal. Fact: Zoya wins the match. What can you say about “Zoya gets a medal”? (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 Dev scores above 90, then Dev gets a gold star. Fact: Dev does not get a gold star. What can you say about “Dev scores above 90”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If Kavya finishes the homework, then Kavya goes to the park. Fact: Kavya does not finish the homework. What can you say about “Kavya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  27. 27.Rule: If Aditya wins the match, then Aditya gets a medal. Fact: Aditya gets a medal. What can you say about “Aditya wins the match”? (a) must be true (b) must be false (c) can't tell
  28. 28.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
  29. 29.Rule: If Myra finishes the homework, then Myra goes to the park. Fact: Myra does not finish 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
  30. 30.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
  31. 31.Rule: If the shop is open, then Aarav buys milk. Fact: The shop is open. What can you say about “Aarav does not buy milk”? (a) must be true (b) must be false (c) can't tell
  32. 32.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
  33. 33.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
  34. 34.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
  35. 35.Rule: If Aditya wins the match, then Aditya gets a medal. Fact: Aditya does not win the match. What can you say about “Aditya gets a medal”? (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 the shop is open, then Isha buys milk. Fact: Isha 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
  38. 38.Rule: If the shop is open, then Rohan buys milk. Fact: Rohan 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
  39. 39.Rule: If Ishaan finishes the homework, then Ishaan goes to the park. Fact: Ishaan does not finish the homework. What can you say about “Ishaan goes to the park”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If Neel wins the match, then Neel gets a medal. Fact: Neel does not get a medal. What can you say about “Neel does not win the match”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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