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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 193 · 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 Neel scores above 90, then Neel gets a gold star. Fact: Neel gets a gold star. What can you say about “Neel scores above 90”? (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 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
  3. 3.Rule: If Neel finishes the homework, then Neel goes to the park. Fact: Neel goes to the park. What can you say about “Neel finishes the homework”? (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 it is Sunday, then the school is closed. Fact: It is not Sunday. What can you say about “The school is not closed”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If Karan wins the match, then Karan gets a medal. Fact: Karan does not get a medal. What can you say about “Karan wins the match”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If the shop is open, then Vivaan buys milk. Fact: The shop is not open. What can you say about “Vivaan does not buy milk”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If Ira wins the match, then Ira gets a medal. Fact: Ira gets a medal. What can you say about “Ira wins the match”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If the shop is open, then Priya buys milk. Fact: Priya buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  10. 10.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
  11. 11.Rule: If Rohan wins the match, then Rohan gets a medal. Fact: Rohan does not win the match. What can you say about “Rohan does not get a medal”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If the shop is open, then Karan buys milk. Fact: The shop is not open. What can you say about “Karan buys milk”? (a) must be true (b) must be false (c) can't tell
  13. 13.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
  14. 14.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
  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 red”? (a) must be true (b) must be false (c) can't tell
  16. 16.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
  17. 17.Rule: If the shop is open, then Kabir buys milk. Fact: Kabir buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  18. 18.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
  19. 19.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
  20. 20.Rule: If the shop is open, then Neel buys milk. Fact: The shop is not open. What can you say about “Neel does not buy milk”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If Nisha finishes the homework, then Nisha goes to the park. Fact: Nisha does not finish the homework. What can you say about “Nisha goes to the park”? (a) must be true (b) must be false (c) can't tell
  22. 22.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
  23. 23.Rule: If Rahul finishes the homework, then Rahul goes to the park. Fact: Rahul does not finish the homework. What can you say about “Rahul does not go to the park”? (a) must be true (b) must be false (c) can't tell
  24. 24.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
  25. 25.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
  26. 26.Rule: If Arjun scores above 90, then Arjun gets a gold star. Fact: Arjun scores above 90. What can you say about “Arjun does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  27. 27.Rule: If the shop is open, then Omkar buys milk. Fact: Omkar 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
  28. 28.Rule: If Rahul scores above 90, then Rahul gets a gold star. Fact: Rahul does not get a gold star. What can you say about “Rahul scores above 90”? (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 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
  31. 31.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
  32. 32.Rule: If Dev wins the match, then Dev gets a medal. Fact: Dev wins the match. What can you say about “Dev does not get a medal”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If Ananya finishes the homework, then Ananya goes to the park. Fact: Ananya does not finish the homework. What can you say about “Ananya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If Ananya wins the match, then Ananya gets a medal. Fact: Ananya does not win the match. What can you say about “Ananya gets a medal”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.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
  37. 37.Rule: If Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya finishes the homework. What can you say about “Aditya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If the shop is open, then Meera buys milk. Fact: The shop is not open. What can you say about “Meera does not buy milk”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Aditya scores above 90, then Aditya gets a gold star. Fact: Aditya scores above 90. What can you say about “Aditya gets a gold star”? (a) must be true (b) must be false (c) can't tell
  40. 40.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

Answer key

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

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