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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 289 · 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 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
  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 Ishaan finishes the homework, then Ishaan goes to the park. Fact: Ishaan finishes the homework. What can you say about “Ishaan does not go to the park”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If Kabir wins the match, then Kabir gets a medal. Fact: Kabir does not win the match. What can you say about “Kabir does not get a medal”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If Farhan scores above 90, then Farhan gets a gold star. Fact: Farhan scores above 90. What can you say about “Farhan does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  6. 6.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
  7. 7.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
  8. 8.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
  9. 9.Rule: If Siddharth wins the match, then Siddharth gets a medal. Fact: Siddharth does not win the match. What can you say about “Siddharth gets a medal”? (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 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
  12. 12.Rule: If Tara wins the match, then Tara gets a medal. Fact: Tara does not win 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
  13. 13.Rule: If the shop is open, then Aarav buys milk. Fact: The shop is open. What can you say about “Aarav does not buy milk”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If Tara scores above 90, then Tara gets a gold star. Fact: Tara does not get a gold star. What can you say about “Tara does not score above 90”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If Farhan finishes the homework, then Farhan goes to the park. Fact: Farhan does not finish the homework. What can you say about “Farhan does not go to the park”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If Aisha finishes the homework, then Aisha goes to the park. Fact: Aisha finishes the homework. What can you say about “Aisha does not go to the park”? (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: 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
  18. 18.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
  19. 19.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
  20. 20.Rule: If Ishaan scores above 90, then Ishaan gets a gold star. Fact: Ishaan gets a gold star. What can you say about “Ishaan does not score above 90”? (a) must be true (b) must be false (c) can't tell
  21. 21.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
  22. 22.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
  23. 23.Rule: If the shop is open, then Ira buys milk. Fact: Ira 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
  24. 24.Rule: If Neel wins the match, then Neel gets a medal. Fact: Neel gets a medal. What can you say about “Neel wins the match”? (a) must be true (b) must be false (c) can't tell
  25. 25.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
  26. 26.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
  27. 27.Rule: If the shop is open, then Riya buys milk. Fact: The shop is open. What can you say about “Riya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If the shop is open, then Rohan buys milk. Fact: The shop is open. What can you say about “Rohan buys milk”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If Vivaan scores above 90, then Vivaan gets a gold star. Fact: Vivaan scores above 90. What can you say about “Vivaan does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  30. 30.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
  31. 31.Rule: If it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If Aarav finishes the homework, then Aarav goes to the park. Fact: Aarav finishes the homework. What can you say about “Aarav goes to the park”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If the shop is open, then Manav buys milk. Fact: The shop is not open. What can you say about “Manav buys milk”? (a) must be true (b) must be false (c) can't tell
  34. 34.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
  35. 35.Rule: If Neel wins the match, then Neel gets a medal. Fact: Neel does not win the match. What can you say about “Neel does not get a medal”? (a) must be true (b) must be false (c) can't tell
  36. 36.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
  37. 37.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
  38. 38.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
  39. 39.Rule: If Farhan finishes the homework, then Farhan goes to the park. Fact: Farhan finishes the homework. What can you say about “Farhan goes to the park”? (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 goes to the park. What can you say about “Myra finishes the homework”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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