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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 67 · 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 Meera finishes the homework, then Meera goes to the park. Fact: Meera does not finish the homework. What can you say about “Meera does not go to the park”? (a) must be true (b) must be false (c) can't tell
  2. 2.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
  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 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
  5. 5.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
  6. 6.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
  7. 7.Rule: If Manav scores above 90, then Manav gets a gold star. Fact: Manav does not score above 90. What can you say about “Manav does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  8. 8.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
  9. 9.Rule: If the shop is open, then Riya buys milk. Fact: Riya buys milk. What can you say about “The shop is not open”? (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 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
  11. 11.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
  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 Siddharth wins the match, then Siddharth gets a medal. Fact: Siddharth does not win the match. What can you say about “Siddharth gets a medal”? (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 starts. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If Yash scores above 90, then Yash gets a gold star. Fact: Yash gets a gold star. What can you say about “Yash does not score above 90”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If Aisha scores above 90, then Aisha gets a gold star. Fact: Aisha scores above 90. What can you say about “Aisha does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If Riya finishes the homework, then Riya goes to the park. Fact: Riya does not finish the homework. What can you say about “Riya goes to the park”? (a) must be true (b) must be false (c) can't tell
  18. 18.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
  19. 19.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
  20. 20.Rule: If the shop is open, then Karan buys milk. Fact: Karan buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If the shop is open, then Neel buys milk. Fact: The shop is open. What can you say about “Neel buys milk”? (a) must be true (b) must be false (c) can't tell
  22. 22.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
  23. 23.Rule: If Zoya finishes the homework, then Zoya goes to the park. Fact: Zoya goes to the park. What can you say about “Zoya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If Dev finishes the homework, then Dev goes to the park. Fact: Dev goes to the park. What can you say about “Dev does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  25. 25.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
  26. 26.Rule: If the shop is open, then Arjun buys milk. Fact: The shop is open. What can you say about “Arjun buys milk”? (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 closed”? (a) must be true (b) must be false (c) can't tell
  28. 28.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
  29. 29.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
  30. 30.Rule: If Tara scores above 90, then Tara gets a gold star. Fact: Tara does not get a gold star. What can you say about “Tara scores above 90”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Manav wins the match, then Manav gets a medal. Fact: Manav does not get a medal. What can you say about “Manav wins the match”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If Isha finishes the homework, then Isha goes to the park. Fact: Isha goes to the park. What can you say about “Isha does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If it rains, then the road gets wet. Fact: It does not rain. What can you say about “The road gets wet”? (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 traffic light is red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.Rule: If Ishaan wins the match, then Ishaan gets a medal. Fact: Ishaan wins the match. What can you say about “Ishaan does not get a medal”? (a) must be true (b) must be false (c) can't tell
  37. 37.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
  38. 38.Rule: If the shop is open, then Siddharth buys milk. Fact: The shop is not open. What can you say about “Siddharth does not buy milk”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Karan scores above 90, then Karan gets a gold star. Fact: Karan does not get a gold star. What can you say about “Karan scores above 90”? (a) must be true (b) must be false (c) can't tell
  40. 40.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

Answer key

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

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