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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 223 · 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 closed”? (a) must be true (b) must be false (c) can't tell
  2. 2.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
  3. 3.Rule: If the shop is open, then Siddharth buys milk. Fact: The shop is open. What can you say about “Siddharth buys milk”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If Priya wins the match, then Priya gets a medal. Fact: Priya does not get a medal. What can you say about “Priya wins the match”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If the plant gets water, then the plant stays green. Fact: The plant gets water. What can you say about “The plant stays green”? (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 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
  7. 7.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
  8. 8.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
  9. 9.Rule: If Siddharth scores above 90, then Siddharth gets a gold star. Fact: Siddharth does not get a gold star. What can you say about “Siddharth does not score above 90”? (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 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
  11. 11.Rule: If the shop is open, then Omkar buys milk. Fact: The shop is open. What can you say about “Omkar does not buy milk”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar does not go to the park. What can you say about “Omkar finishes the homework”? (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 not closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If Nisha wins the match, then Nisha gets a medal. Fact: Nisha wins the match. What can you say about “Nisha does not get a medal”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If Karan scores above 90, then Karan gets a gold star. Fact: Karan scores above 90. What can you say about “Karan gets a gold star”? (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 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
  17. 17.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
  18. 18.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
  19. 19.Rule: If Arjun scores above 90, then Arjun gets a gold star. Fact: Arjun does not get 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
  20. 20.Rule: If Neel scores above 90, then Neel gets a gold star. Fact: Neel scores above 90. What can you say about “Neel gets a gold star”? (a) must be true (b) must be false (c) can't tell
  21. 21.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
  22. 22.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
  23. 23.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
  24. 24.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
  25. 25.Rule: If Zoya finishes the homework, then Zoya goes to the park. Fact: Zoya does not go to the park. What can you say about “Zoya finishes the homework”? (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: Arjun buys 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 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
  28. 28.Rule: If Rohan finishes the homework, then Rohan goes to the park. Fact: Rohan finishes the homework. What can you say about “Rohan does not go to the park”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If Nisha scores above 90, then Nisha gets a gold star. Fact: Nisha gets a gold star. What can you say about “Nisha scores above 90”? (a) must be true (b) must be false (c) can't tell
  30. 30.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
  31. 31.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
  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 Rohan wins the match, then Rohan gets a medal. Fact: Rohan gets a medal. What can you say about “Rohan does not win the match”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If Meera scores above 90, then Meera gets a gold star. Fact: Meera does not get a gold star. What can you say about “Meera does not score above 90”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.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
  37. 37.Rule: If Manav finishes the homework, then Manav goes to the park. Fact: Manav goes to the park. What can you say about “Manav does not finish the homework”? (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 traffic light is red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
  39. 39.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
  40. 40.Rule: If Myra finishes the homework, then Myra goes to the park. Fact: Myra finishes the homework. What can you say about “Myra goes to the park”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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