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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 228 · 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 finishes the homework. What can you say about “Meera goes 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 does not stay green”? (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 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
  4. 4.Rule: If Myra finishes the homework, then Myra goes to the park. Fact: Myra does not go to the park. What can you say about “Myra finishes the homework”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If Omkar scores above 90, then Omkar gets a gold star. Fact: Omkar gets a gold star. What can you say about “Omkar scores above 90”? (a) must be true (b) must be false (c) can't tell
  6. 6.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
  7. 7.Rule: If Arjun scores above 90, then Arjun gets a gold star. Fact: Arjun gets a gold star. What can you say about “Arjun does not score above 90”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If Rohan scores above 90, then Rohan gets a gold star. Fact: Rohan scores above 90. What can you say about “Rohan gets a gold star”? (a) must be true (b) must be false (c) can't tell
  9. 9.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
  10. 10.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
  11. 11.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
  12. 12.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
  13. 13.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
  14. 14.Rule: If Sneha scores above 90, then Sneha gets a gold star. Fact: Sneha does not get a gold star. What can you say about “Sneha does not score above 90”? (a) must be true (b) must be false (c) can't tell
  15. 15.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
  16. 16.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
  17. 17.Rule: If Neel finishes the homework, then Neel goes to the park. Fact: Neel goes to the park. What can you say about “Neel does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  18. 18.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
  19. 19.Rule: If Ira wins the match, then Ira gets a medal. Fact: Ira does not get a medal. What can you say about “Ira does not win the match”? (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 closed”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If the bell rings, then the class starts. Fact: The bell does not ring. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
  22. 22.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 does not get water”? (a) must be true (b) must be false (c) can't tell
  23. 23.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
  24. 24.Rule: If Diya finishes the homework, then Diya goes to the park. Fact: Diya goes to the park. What can you say about “Diya does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  25. 25.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
  26. 26.Rule: If the shop is open, then Rahul buys milk. Fact: Rahul 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
  27. 27.Rule: If the shop is open, then Yash buys milk. Fact: Yash 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
  28. 28.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
  29. 29.Rule: If Ananya finishes the homework, then Ananya goes to the park. Fact: Ananya goes to the park. What can you say about “Ananya does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  30. 30.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
  31. 31.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
  32. 32.Rule: If Isha finishes the homework, then Isha goes to the park. Fact: Isha does not go 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 the shop is open, then Priya buys milk. Fact: Priya buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If Diya wins the match, then Diya gets a medal. Fact: Diya gets a medal. What can you say about “Diya wins the match”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.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
  37. 37.Rule: If the shop is open, then Farhan buys milk. Fact: The shop is open. What can you say about “Farhan does not buy milk”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If the shop is open, then Pooja buys milk. Fact: The shop is open. What can you say about “Pooja does not buy milk”? (a) must be true (b) must be false (c) can't tell
  39. 39.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
  40. 40.Rule: If the shop is open, then Zoya buys milk. Fact: Zoya 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

Answer key

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

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