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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 741 · 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 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
  2. 2.Rule: If Zoya scores above 90, then Zoya gets a gold star. Fact: Zoya does not get a gold star. What can you say about “Zoya does not score above 90”? (a) must be true (b) must be false (c) can't tell
  3. 3.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 does not score above 90”? (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 stop”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If the shop is open, then Dev buys milk. Fact: Dev 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
  6. 6.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
  7. 7.Rule: If the shop is open, then Neel buys milk. Fact: Neel 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
  8. 8.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
  9. 9.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
  10. 10.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
  11. 11.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
  12. 12.Rule: If Manav scores above 90, then Manav gets a gold star. Fact: Manav does not get a gold star. What can you say about “Manav scores above 90”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If the shop is open, then Sneha buys milk. Fact: The shop is open. What can you say about “Sneha does not buy milk”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If the shop is open, then Ira buys milk. Fact: Ira buys milk. What can you say about “The shop is not open”? (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 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
  16. 16.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
  17. 17.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
  18. 18.Rule: If Priya wins the match, then Priya gets a medal. Fact: Priya wins the match. What can you say about “Priya gets a medal”? (a) must be true (b) must be false (c) can't tell
  19. 19.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
  20. 20.Rule: If Rohan scores above 90, then Rohan gets a gold star. Fact: Rohan gets a gold star. What can you say about “Rohan scores above 90”? (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 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
  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 Yash scores above 90, then Yash gets a gold star. Fact: Yash gets a gold star. What can you say about “Yash scores above 90”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If the shop is open, then Siddharth buys milk. Fact: Siddharth 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 Tara scores above 90, then Tara gets a gold star. Fact: Tara does not score above 90. What can you say about “Tara does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If Ishaan wins the match, then Ishaan gets a medal. Fact: Ishaan wins the match. What can you say about “Ishaan gets a medal”? (a) must be true (b) must be false (c) can't tell
  27. 27.Rule: If the shop is open, then Diya buys milk. Fact: The shop is not open. What can you say about “Diya does not buy milk”? (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 rains. 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 Yash wins the match, then Yash gets a medal. Fact: Yash does not get a medal. What can you say about “Yash does not win the match”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If Riya scores above 90, then Riya gets a gold star. Fact: Riya scores above 90. What can you say about “Riya gets a gold star”? (a) must be true (b) must be false (c) can't tell
  31. 31.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
  32. 32.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
  33. 33.Rule: If Neel scores above 90, then Neel gets a gold star. Fact: Neel scores above 90. What can you say about “Neel does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If the shop is open, then Meera buys milk. Fact: Meera buys milk. What can you say about “The shop is open”? (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 get water. What can you say about “The plant stays green”? (a) must be true (b) must be false (c) can't tell
  36. 36.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
  37. 37.Rule: If Yash scores above 90, then Yash gets a gold star. Fact: Yash does not score above 90. What can you say about “Yash does not get a gold star”? (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 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 Pooja scores above 90, then Pooja gets a gold star. Fact: Pooja scores above 90. What can you say about “Pooja gets a gold star”? (a) must be true (b) must be false (c) can't tell
  40. 40.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

Answer key

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

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