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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 131 · 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 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
  2. 2.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
  3. 3.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
  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 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
  6. 6.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
  7. 7.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
  8. 8.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
  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 shop is open, then Isha buys milk. Fact: Isha buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If Isha scores above 90, then Isha gets a gold star. Fact: Isha gets a gold star. What can you say about “Isha does not score above 90”? (a) must be true (b) must be false (c) can't tell
  12. 12.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
  13. 13.Rule: If Ishaan wins the match, then Ishaan gets a medal. Fact: Ishaan wins the match. What can you say about “Ishaan gets a medal”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If the shop is open, then Zoya buys milk. Fact: Zoya 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
  15. 15.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
  16. 16.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
  17. 17.Rule: If Diya wins the match, then Diya gets a medal. Fact: Diya does not get a medal. What can you say about “Diya does not win the match”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If Rohan finishes the homework, then Rohan goes to the park. Fact: Rohan finishes the homework. What can you say about “Rohan goes 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: Aisha 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
  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 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
  22. 22.Rule: If Kavya finishes the homework, then Kavya goes to the park. Fact: Kavya does not go to the park. What can you say about “Kavya does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  23. 23.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
  24. 24.Rule: If Aisha finishes the homework, then Aisha goes to the park. Fact: Aisha goes to the park. What can you say about “Aisha finishes the homework”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Rohan scores above 90, then Rohan gets a gold star. Fact: Rohan does not get a gold star. What can you say about “Rohan does not score above 90”? (a) must be true (b) must be false (c) can't tell
  26. 26.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
  27. 27.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
  28. 28.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
  29. 29.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
  30. 30.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
  31. 31.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
  32. 32.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
  33. 33.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
  34. 34.Rule: If Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun does not finish the homework. What can you say about “Arjun goes to the park”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If the shop is open, then Isha buys milk. Fact: The shop is open. What can you say about “Isha does not buy milk”? (a) must be true (b) must be false (c) can't tell
  36. 36.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
  37. 37.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
  38. 38.Rule: If the shop is open, then Isha buys milk. Fact: The shop is not open. What can you say about “Isha does not buy milk”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Myra wins the match, then Myra gets a medal. Fact: Myra does not win the match. What can you say about “Myra does not get a medal”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If Ishaan wins the match, then Ishaan gets a medal. Fact: Ishaan does not get a medal. What can you say about “Ishaan wins the match”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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