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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 653 · 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: 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
  2. 2.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
  3. 3.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
  4. 4.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
  5. 5.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
  6. 6.Rule: If the shop is open, then Karan buys milk. Fact: The shop is open. What can you say about “Karan buys milk”? (a) must be true (b) must be false (c) can't tell
  7. 7.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
  8. 8.Rule: If the shop is open, then Omkar buys milk. Fact: Omkar 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
  9. 9.Rule: If Aisha wins the match, then Aisha gets a medal. Fact: Aisha wins the match. What can you say about “Aisha gets a medal”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If Neel scores above 90, then Neel gets a gold star. Fact: Neel does not score 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
  11. 11.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
  12. 12.Rule: If Dev wins the match, then Dev gets a medal. Fact: Dev wins the match. What can you say about “Dev gets a medal”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If Karan wins the match, then Karan gets a medal. Fact: Karan wins the match. What can you say about “Karan does not get a medal”? (a) must be true (b) must be false (c) can't tell
  14. 14.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 does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If Saanvi wins the match, then Saanvi gets a medal. Fact: Saanvi wins the match. What can you say about “Saanvi gets a medal”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If Dev wins the match, then Dev gets a medal. Fact: Dev does not get a medal. What can you say about “Dev does not win the match”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If the shop is open, then Tara buys milk. Fact: Tara buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If Tara wins the match, then Tara gets a medal. Fact: Tara gets a medal. What can you say about “Tara does not win the match”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If the shop is open, then Saanvi buys milk. Fact: Saanvi buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  20. 20.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
  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 Vivaan finishes the homework, then Vivaan goes to the park. Fact: Vivaan finishes the homework. What can you say about “Vivaan goes to the park”? (a) must be true (b) must be false (c) can't tell
  23. 23.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
  24. 24.Rule: If Ishaan scores above 90, then Ishaan gets a gold star. Fact: Ishaan gets 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 Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun finishes 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
  26. 26.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
  27. 27.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
  28. 28.Rule: If Isha wins the match, then Isha gets a medal. Fact: Isha does not win the match. What can you say about “Isha gets a medal”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If Yash finishes the homework, then Yash goes to the park. Fact: Yash does not go to the park. What can you say about “Yash does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If the shop is open, then Rohan buys milk. Fact: The shop is not open. What can you say about “Rohan buys milk”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If the shop is open, then Karan buys milk. Fact: Karan buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If Aditya wins the match, then Aditya gets a medal. Fact: Aditya does not win the match. What can you say about “Aditya gets a medal”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If the shop is open, then Neel buys milk. Fact: The shop is open. What can you say about “Neel 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 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
  35. 35.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
  36. 36.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
  37. 37.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 scores above 90”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If Nisha finishes the homework, then Nisha goes to the park. Fact: Nisha does not go to the park. What can you say about “Nisha finishes the homework”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Meera finishes the homework, then Meera goes to the park. Fact: Meera goes to the park. What can you say about “Meera finishes the homework”? (a) must be true (b) must be false (c) can't tell
  40. 40.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 scores above 90”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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