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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 133 · 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 not 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 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
  3. 3.Rule: If Dev finishes the homework, then Dev goes to the park. Fact: Dev goes to the park. What can you say about “Dev does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If Meera finishes the homework, then Meera goes to the park. Fact: Meera goes to the park. What can you say about “Meera does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  5. 5.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
  6. 6.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
  7. 7.Rule: If Meera wins the match, then Meera gets a medal. Fact: Meera does not get a medal. What can you say about “Meera wins the match”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If the shop is open, then Vivaan buys milk. Fact: The shop is open. What can you say about “Vivaan buys milk”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If Aditya scores above 90, then Aditya gets a gold star. Fact: Aditya does not get a gold star. What can you say about “Aditya scores above 90”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If Myra scores above 90, then Myra gets a gold star. Fact: Myra scores above 90. What can you say about “Myra does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If Aisha wins the match, then Aisha gets a medal. Fact: Aisha gets a medal. What can you say about “Aisha does not win the match”? (a) must be true (b) must be false (c) can't tell
  12. 12.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
  13. 13.Rule: If the shop is open, then Aarav buys milk. Fact: Aarav 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 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
  15. 15.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
  16. 16.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 gets a gold star”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If Meera wins the match, then Meera gets a medal. Fact: Meera does not win the match. What can you say about “Meera does not get a medal”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If Aisha wins the match, then Aisha gets a medal. Fact: Aisha gets a medal. What can you say about “Aisha wins the match”? (a) must be true (b) must be false (c) can't tell
  19. 19.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
  20. 20.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
  21. 21.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
  22. 22.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
  23. 23.Rule: If Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun goes to the park. What can you say about “Arjun finishes the homework”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If Ishaan scores above 90, then Ishaan gets a gold star. Fact: Ishaan does not get a gold star. What can you say about “Ishaan scores above 90”? (a) must be true (b) must be false (c) can't tell
  25. 25.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
  26. 26.Rule: If Priya finishes the homework, then Priya goes to the park. Fact: Priya does not finish the homework. What can you say about “Priya goes to the park”? (a) must be true (b) must be false (c) can't tell
  27. 27.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is red. What can you say about “The cars do not stop”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If Aisha scores above 90, then Aisha gets a gold star. Fact: Aisha scores above 90. What can you say about “Aisha does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  29. 29.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
  30. 30.Rule: If the shop is open, then Aditya buys milk. Fact: The shop is not open. What can you say about “Aditya buys milk”? (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: 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
  32. 32.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
  33. 33.Rule: If Pooja scores above 90, then Pooja gets a gold star. Fact: Pooja gets a gold star. What can you say about “Pooja does not score above 90”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If Vivaan wins the match, then Vivaan gets a medal. Fact: Vivaan does not win the match. What can you say about “Vivaan does not get a medal”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If Manav scores above 90, then Manav gets a gold star. Fact: Manav does not score above 90. What can you say about “Manav gets a gold star”? (a) must be true (b) must be false (c) can't tell
  36. 36.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
  37. 37.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
  38. 38.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
  39. 39.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
  40. 40.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

Answer key

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

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