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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 747 · 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.

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  1. 1.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
  2. 2.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
  3. 3.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
  4. 4.Rule: If Pooja wins the match, then Pooja gets a medal. Fact: Pooja does not win the match. What can you say about “Pooja does not get a medal”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If Nisha finishes the homework, then Nisha goes to the park. Fact: Nisha does not go to the park. What can you say about “Nisha finishes the homework”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If Dev finishes the homework, then Dev goes to the park. Fact: Dev finishes 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
  7. 7.Rule: If Farhan wins the match, then Farhan gets a medal. Fact: Farhan gets a medal. What can you say about “Farhan does not win the match”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If the shop is open, then Aisha buys milk. Fact: The shop is not open. What can you say about “Aisha does not buy milk”? (a) must be true (b) must be false (c) can't tell
  9. 9.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
  10. 10.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
  11. 11.Rule: If Saanvi finishes the homework, then Saanvi goes to the park. Fact: Saanvi goes to the park. What can you say about “Saanvi does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  12. 12.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
  13. 13.Rule: If the shop is open, then Nisha buys milk. Fact: The shop is open. What can you say about “Nisha buys milk”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If the shop is open, then Manav buys milk. Fact: The shop is open. What can you say about “Manav buys milk”? (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 gets wet. What can you say about “It does not rain”? (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 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
  17. 17.Rule: If the shop is open, then Arjun buys milk. Fact: The shop is not open. What can you say about “Arjun does not buy milk”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If Rahul wins the match, then Rahul gets a medal. Fact: Rahul does not get a medal. What can you say about “Rahul does not win the match”? (a) must be true (b) must be false (c) can't tell
  19. 19.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
  20. 20.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
  21. 21.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
  22. 22.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
  23. 23.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
  24. 24.Rule: If the shop is open, then Arjun buys milk. Fact: Arjun buys milk. What can you say about “The shop is not open”? (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: 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
  26. 26.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
  27. 27.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
  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 Meera finishes the homework, then Meera goes to the park. Fact: Meera does not go to the park. What can you say about “Meera does not finish the homework”? (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 stays 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 Zoya finishes the homework, then Zoya goes to the park. Fact: Zoya finishes the homework. What can you say about “Zoya goes to the park”? (a) must be true (b) must be false (c) can't tell
  32. 32.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
  33. 33.Rule: If Tara wins the match, then Tara gets a medal. Fact: Tara wins the match. What can you say about “Tara does not get a medal”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If Aarav wins the match, then Aarav gets a medal. Fact: Aarav does not win the match. What can you say about “Aarav does not get a medal”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If Manav wins the match, then Manav gets a medal. Fact: Manav does not win the match. What can you say about “Manav gets a medal”? (a) must be true (b) must be false (c) can't tell
  36. 36.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
  37. 37.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
  38. 38.Rule: If Vivaan wins the match, then Vivaan gets a medal. Fact: Vivaan does not win the match. What can you say about “Vivaan gets a medal”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Kavya scores above 90, then Kavya gets a gold star. Fact: Kavya does not get a gold star. What can you say about “Kavya scores above 90”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If the shop is open, then Rohan buys milk. Fact: The shop is open. What can you say about “Rohan does not buy milk”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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