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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 107 · 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 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
  2. 2.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
  3. 3.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
  4. 4.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
  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 Aisha scores above 90, then Aisha gets a gold star. Fact: Aisha does not get a gold star. What can you say about “Aisha does not score above 90”? (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 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
  8. 8.Rule: If Sneha wins the match, then Sneha gets a medal. Fact: Sneha does not get a medal. What can you say about “Sneha does not win the match”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If Nisha scores above 90, then Nisha gets a gold star. Fact: Nisha gets a gold star. What can you say about “Nisha does not score above 90”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If the shop is open, then Yash buys milk. Fact: Yash buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If Aarav scores above 90, then Aarav gets a gold star. Fact: Aarav scores above 90. What can you say about “Aarav gets a gold star”? (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: Karan 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
  13. 13.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
  14. 14.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
  15. 15.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
  16. 16.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
  17. 17.Rule: If Nisha wins the match, then Nisha gets a medal. Fact: Nisha wins the match. What can you say about “Nisha does not get 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 not 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 Manav wins the match, then Manav gets a medal. Fact: Manav does not win the match. What can you say about “Manav gets a medal”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If the bell rings, then the class starts. Fact: The class does not start. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If Pooja finishes the homework, then Pooja goes to the park. Fact: Pooja does not go to the park. What can you say about “Pooja does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  22. 22.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
  23. 23.Rule: If Riya wins the match, then Riya gets a medal. Fact: Riya wins the match. What can you say about “Riya gets a medal”? (a) must be true (b) must be false (c) can't tell
  24. 24.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
  25. 25.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
  26. 26.Rule: If Diya scores above 90, then Diya gets a gold star. Fact: Diya does not get a gold star. What can you say about “Diya scores above 90”? (a) must be true (b) must be false (c) can't tell
  27. 27.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
  28. 28.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
  29. 29.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
  30. 30.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
  31. 31.Rule: If Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun goes to the park. What can you say about “Arjun finishes the homework”? (a) must be true (b) must be false (c) can't tell
  32. 32.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
  33. 33.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
  34. 34.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
  35. 35.Rule: If Pooja finishes the homework, then Pooja goes to the park. Fact: Pooja goes to the park. What can you say about “Pooja finishes the homework”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Priya wins the match, then Priya gets a medal. Fact: Priya does not get a medal. What can you say about “Priya wins the match”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If the shop is open, then Farhan buys milk. Fact: Farhan 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
  38. 38.Rule: If Priya finishes the homework, then Priya goes to the park. Fact: Priya does not finish the homework. What can you say about “Priya goes to the park”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Zoya scores above 90, then Zoya gets a gold star. Fact: Zoya does not score above 90. What can you say about “Zoya gets a gold star”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If the shop is open, then Ira buys milk. Fact: Ira 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

Answer key

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

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