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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 8 · 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 does not go to the park. What can you say about “Ishaan finishes the homework”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If the shop is open, then Farhan buys milk. Fact: The shop is not open. What can you say about “Farhan does not buy milk”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If Rohan finishes the homework, then Rohan goes to the park. Fact: Rohan does not finish the homework. What can you say about “Rohan does not go to the park”? (a) must be true (b) must be false (c) can't tell
  5. 5.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
  6. 6.Rule: If Diya finishes the homework, then Diya goes to the park. Fact: Diya finishes the homework. What can you say about “Diya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  7. 7.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
  8. 8.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
  9. 9.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
  10. 10.Rule: If the shop is open, then Isha buys milk. Fact: The shop is open. What can you say about “Isha does not buy milk”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If the plant gets water, then the plant stays green. Fact: The plant stays green. What can you say about “The plant does not get water”? (a) must be true (b) must be false (c) can't tell
  12. 12.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
  13. 13.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
  14. 14.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
  15. 15.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
  16. 16.Rule: If Farhan scores above 90, then Farhan gets a gold star. Fact: Farhan gets a gold star. What can you say about “Farhan scores above 90”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If Myra wins the match, then Myra gets a medal. Fact: Myra does not win the match. What can you say about “Myra gets a medal”? (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 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
  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 do not stop”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If Diya scores above 90, then Diya gets a gold star. Fact: Diya gets a gold star. What can you say about “Diya scores above 90”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If Karan finishes the homework, then Karan goes to the park. Fact: Karan does not go to the park. What can you say about “Karan finishes the homework”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If Zoya finishes the homework, then Zoya goes to the park. Fact: Zoya goes to the park. What can you say about “Zoya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  24. 24.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
  25. 25.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
  26. 26.Rule: If Sneha finishes the homework, then Sneha goes to the park. Fact: Sneha does not finish the homework. What can you say about “Sneha goes to the park”? (a) must be true (b) must be false (c) can't tell
  27. 27.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
  28. 28.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
  29. 29.Rule: If the shop is open, then Pooja buys milk. Fact: The shop is not open. What can you say about “Pooja buys milk”? (a) must be true (b) must be false (c) can't tell
  30. 30.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 goes to the park”? (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 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
  32. 32.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
  33. 33.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
  34. 34.Rule: If Ananya scores above 90, then Ananya gets a gold star. Fact: Ananya scores above 90. What can you say about “Ananya does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.Rule: If it rains, then the road gets wet. Fact: It rains. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If the shop is open, then Aditya buys milk. Fact: Aditya 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
  38. 38.Rule: If Yash finishes the homework, then Yash goes to the park. Fact: Yash goes to the park. What can you say about “Yash finishes the homework”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Farhan wins the match, then Farhan gets a medal. Fact: Farhan gets a medal. What can you say about “Farhan wins the match”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If Siddharth scores above 90, then Siddharth gets a gold star. Fact: Siddharth does not score above 90. What can you say about “Siddharth does not get a gold star”? (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. can't tell
  5. must be false
  6. must be false
  7. must be false
  8. can't tell
  9. can't tell
  10. must be false
  11. can't tell
  12. must be true
  13. must be false
  14. can't tell
  15. must be true
  16. can't tell
  17. can't tell
  18. can't tell
  19. must be true
  20. must be false
  21. can't tell
  22. must be false
  23. can't tell
  24. must be false
  25. can't tell
  26. can't tell
  27. must be false
  28. can't tell
  29. can't tell
  30. can't tell
  31. can't tell
  32. must be true
  33. can't tell
  34. must be false
  35. must be false
  36. must be false
  37. must be false
  38. can't tell
  39. can't tell
  40. can't tell

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