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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 654 · 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: 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
  2. 2.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
  3. 3.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
  4. 4.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
  5. 5.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
  6. 6.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
  7. 7.Rule: If Aarav wins the match, then Aarav gets a medal. Fact: Aarav does not get a medal. What can you say about “Aarav does not win the match”? (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 Isha wins the match, then Isha gets a medal. Fact: Isha wins the match. What can you say about “Isha gets a medal”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If Ishaan scores above 90, then Ishaan gets a gold star. Fact: Ishaan scores above 90. What can you say about “Ishaan does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If Ananya wins the match, then Ananya gets a medal. Fact: Ananya does not get a medal. What can you say about “Ananya wins the match”? (a) must be true (b) must be false (c) can't tell
  12. 12.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
  13. 13.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
  14. 14.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
  15. 15.Rule: If Omkar scores above 90, then Omkar gets a gold star. Fact: Omkar does not get a gold star. What can you say about “Omkar scores above 90”? (a) must be true (b) must be false (c) can't tell
  16. 16.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 does not score above 90”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If the shop is open, then Dev buys milk. Fact: Dev 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 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
  19. 19.Rule: If the shop is open, then Nisha buys milk. Fact: Nisha buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If Siddharth wins the match, then Siddharth gets a medal. Fact: Siddharth does not get a medal. What can you say about “Siddharth wins the match”? (a) must be true (b) must be false (c) can't tell
  21. 21.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
  22. 22.Rule: If the shop is open, then Farhan buys milk. Fact: Farhan 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
  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 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
  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 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
  27. 27.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
  28. 28.Rule: If the shop is open, then Tara buys milk. Fact: Tara 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
  29. 29.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
  30. 30.Rule: If Kabir wins the match, then Kabir gets a medal. Fact: Kabir does not get a medal. What can you say about “Kabir does not win the match”? (a) must be true (b) must be false (c) can't tell
  31. 31.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
  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 red”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If Ishaan scores above 90, then Ishaan gets a gold star. Fact: Ishaan gets a gold star. What can you say about “Ishaan does not score above 90”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If the shop is open, then Diya buys milk. Fact: Diya 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
  35. 35.Rule: If Dev finishes the homework, then Dev goes to the park. Fact: Dev does not finish the homework. What can you say about “Dev goes to the park”? (a) must be true (b) must be false (c) can't tell
  36. 36.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
  37. 37.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
  38. 38.Rule: If Rahul wins the match, then Rahul gets a medal. Fact: Rahul gets a medal. What can you say about “Rahul does not win the match”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya goes to the park. What can you say about “Aditya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If Ishaan finishes the homework, then Ishaan goes to the park. Fact: Ishaan finishes the homework. What can you say about “Ishaan goes to the park”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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