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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 57 · 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 Dev scores above 90, then Dev gets a gold star. Fact: Dev gets a gold star. What can you say about “Dev does not score above 90”? (a) must be true (b) must be false (c) can't tell
  2. 2.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
  3. 3.Rule: If Karan wins the match, then Karan gets a medal. Fact: Karan gets a medal. What can you say about “Karan wins the match”? (a) must be true (b) must be false (c) can't tell
  4. 4.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
  5. 5.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar finishes the homework. What can you say about “Omkar does not go to the park”? (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 stays green. What can you say about “The plant gets water”? (a) must be true (b) must be false (c) can't tell
  7. 7.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
  8. 8.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
  9. 9.Rule: If Meera scores above 90, then Meera gets a gold star. Fact: Meera does not score above 90. What can you say about “Meera does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun does not finish the homework. What can you say about “Arjun does not go to the park”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If it rains, then the road gets wet. Fact: The road gets wet. What can you say about “It does not rain”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If Saanvi wins the match, then Saanvi gets a medal. Fact: Saanvi does not get a medal. What can you say about “Saanvi wins the match”? (a) must be true (b) must be false (c) can't tell
  13. 13.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
  14. 14.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
  15. 15.Rule: If Priya wins the match, then Priya gets a medal. Fact: Priya does not win the match. What can you say about “Priya gets a medal”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If the shop is open, then Aditya buys milk. Fact: The shop is not open. What can you say about “Aditya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  17. 17.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
  18. 18.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
  19. 19.Rule: If Vivaan wins the match, then Vivaan gets a medal. Fact: Vivaan gets a medal. What can you say about “Vivaan does not win the match”? (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: 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
  21. 21.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 do not stop”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If the shop is open, then Riya buys milk. Fact: The shop is open. What can you say about “Riya buys milk”? (a) must be true (b) must be false (c) can't tell
  23. 23.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
  24. 24.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
  25. 25.Rule: If the shop is open, then Aarav buys milk. Fact: The shop is not open. What can you say about “Aarav buys milk”? (a) must be true (b) must be false (c) can't tell
  26. 26.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
  27. 27.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
  28. 28.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
  29. 29.Rule: If Saanvi finishes the homework, then Saanvi goes to the park. Fact: Saanvi does not finish the homework. What can you say about “Saanvi goes to the park”? (a) must be true (b) must be false (c) can't tell
  30. 30.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
  31. 31.Rule: If Omkar wins the match, then Omkar gets a medal. Fact: Omkar does not get a medal. What can you say about “Omkar wins the match”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If Karan finishes the homework, then Karan goes to the park. Fact: Karan finishes the homework. What can you say about “Karan does not go to the park”? (a) must be true (b) must be false (c) can't tell
  33. 33.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
  34. 34.Rule: If Zoya scores above 90, then Zoya gets a gold star. Fact: Zoya scores above 90. What can you say about “Zoya gets a gold star”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If the shop is open, then Aditya buys milk. Fact: The shop is open. What can you say about “Aditya buys milk”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Kavya wins the match, then Kavya gets a medal. Fact: Kavya gets a medal. What can you say about “Kavya does not win the match”? (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 Nisha scores above 90, then Nisha gets a gold star. Fact: Nisha does not get a gold star. What can you say about “Nisha scores above 90”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun finishes the homework. What can you say about “Arjun goes to the park”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya goes to the park. What can you say about “Aditya does not finish the homework”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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