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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 81 · 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 Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya goes to the park. What can you say about “Aditya does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If Ishaan finishes the homework, then Ishaan goes to the park. Fact: Ishaan finishes the homework. What can you say about “Ishaan does not go to the park”? (a) must be true (b) must be false (c) can't tell
  3. 3.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
  4. 4.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
  5. 5.Rule: If Ira finishes the homework, then Ira goes to the park. Fact: Ira goes to the park. What can you say about “Ira finishes the homework”? (a) must be true (b) must be false (c) can't tell
  6. 6.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
  7. 7.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
  8. 8.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
  9. 9.Rule: If Priya scores above 90, then Priya gets a gold star. Fact: Priya does not get a gold star. What can you say about “Priya does not score above 90”? (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 stays green. What can you say about “The plant gets water”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If Isha wins the match, then Isha gets a medal. Fact: Isha gets a medal. What can you say about “Isha does not win the match”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If Rahul scores above 90, then Rahul gets a gold star. Fact: Rahul scores above 90. What can you say about “Rahul gets a gold star”? (a) must be true (b) must be false (c) can't tell
  13. 13.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
  14. 14.Rule: If the shop is open, then Aditya buys milk. Fact: Aditya buys 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 the shop is open, then Isha buys milk. Fact: Isha buys 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 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
  17. 17.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
  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 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
  20. 20.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
  21. 21.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
  22. 22.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
  23. 23.Rule: If Kavya finishes the homework, then Kavya goes to the park. Fact: Kavya finishes the homework. What can you say about “Kavya goes to the park”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If Kabir wins the match, then Kabir gets a medal. Fact: Kabir does not win the match. What can you say about “Kabir gets a medal”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Myra finishes the homework, then Myra goes to the park. Fact: Myra finishes the homework. What can you say about “Myra goes to the park”? (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 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
  27. 27.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
  28. 28.Rule: If Rahul wins the match, then Rahul gets a medal. Fact: Rahul wins the match. What can you say about “Rahul does not get a medal”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If Saanvi scores above 90, then Saanvi gets a gold star. Fact: Saanvi gets a gold star. What can you say about “Saanvi scores above 90”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If Omkar wins the match, then Omkar gets a medal. Fact: Omkar wins the match. What can you say about “Omkar gets a medal”? (a) must be true (b) must be false (c) can't tell
  31. 31.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
  32. 32.Rule: If Karan wins the match, then Karan gets a medal. Fact: Karan wins the match. What can you say about “Karan does not get a medal”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If Rahul finishes the homework, then Rahul goes to the park. Fact: Rahul goes to the park. What can you say about “Rahul finishes the homework”? (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 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
  35. 35.Rule: If the shop is open, then Diya buys milk. Fact: Diya 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
  36. 36.Rule: If Diya scores above 90, then Diya gets a gold star. Fact: Diya scores above 90. What can you say about “Diya does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  37. 37.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
  38. 38.Rule: If Ananya scores above 90, then Ananya gets a gold star. Fact: Ananya does not score above 90. What can you say about “Ananya gets a gold star”? (a) must be true (b) must be false (c) can't tell
  39. 39.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
  40. 40.Rule: If Manav finishes the homework, then Manav goes to the park. Fact: Manav goes to the park. What can you say about “Manav finishes the homework”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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