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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 66 · 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 shop is open, then Riya buys milk. Fact: The shop is not open. What can you say about “Riya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If the shop is open, then Saanvi buys milk. Fact: The shop is not open. What can you say about “Saanvi buys milk”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If Rohan wins the match, then Rohan gets a medal. Fact: Rohan does not win the match. What can you say about “Rohan does not get a medal”? (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: 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
  5. 5.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
  6. 6.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
  7. 7.Rule: If Arjun wins the match, then Arjun gets a medal. Fact: Arjun does not win the match. What can you say about “Arjun does not get 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 not red”? (a) must be true (b) must be false (c) can't tell
  9. 9.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
  10. 10.Rule: If Riya wins the match, then Riya gets a medal. Fact: Riya wins the match. What can you say about “Riya does not get a medal”? (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 scores above 90. What can you say about “Isha does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  12. 12.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
  13. 13.Rule: If the shop is open, then Riya buys milk. Fact: Riya buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  14. 14.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
  15. 15.Rule: If the shop is open, then Dev buys milk. Fact: The shop is not open. What can you say about “Dev does not buy milk”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If Kavya scores above 90, then Kavya gets a gold star. Fact: Kavya gets a gold star. What can you say about “Kavya does not score above 90”? (a) must be true (b) must be false (c) can't tell
  17. 17.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
  18. 18.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
  19. 19.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
  20. 20.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
  21. 21.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
  22. 22.Rule: If Karan scores above 90, then Karan gets a gold star. Fact: Karan scores above 90. What can you say about “Karan does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If the shop is open, then Manav buys milk. Fact: The shop is not open. What can you say about “Manav does not buy milk”? (a) must be true (b) must be false (c) can't tell
  24. 24.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
  25. 25.Rule: If the shop is open, then Dev buys milk. Fact: Dev buys milk. What can you say about “The shop is open”? (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 shop is open, then Kavya buys milk. Fact: Kavya buys 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 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
  29. 29.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
  30. 30.Rule: If Myra scores above 90, then Myra gets a gold star. Fact: Myra does not get a gold star. What can you say about “Myra does not score 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 does not win the match”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If Saanvi scores above 90, then Saanvi gets a gold star. Fact: Saanvi scores above 90. What can you say about “Saanvi does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If Zoya finishes the homework, then Zoya goes to the park. Fact: Zoya finishes the homework. What can you say about “Zoya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If Nisha scores above 90, then Nisha gets a gold star. Fact: Nisha does not score above 90. What can you say about “Nisha gets a gold star”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If Riya scores above 90, then Riya gets a gold star. Fact: Riya scores above 90. What can you say about “Riya does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  36. 36.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
  37. 37.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 scores above 90”? (a) must be true (b) must be false (c) can't tell
  38. 38.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
  39. 39.Rule: If Farhan scores above 90, then Farhan gets a gold star. Fact: Farhan does not get a gold star. What can you say about “Farhan scores above 90”? (a) must be true (b) must be false (c) can't tell
  40. 40.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

Answer key

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

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