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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 492 · 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 Rohan scores above 90, then Rohan gets a gold star. Fact: Rohan gets a gold star. What can you say about “Rohan does not score above 90”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If Kabir wins the match, then Kabir gets a medal. Fact: Kabir does not win the match. What can you say about “Kabir gets a medal”? (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 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
  4. 4.Rule: If Riya scores above 90, then Riya gets a gold star. Fact: Riya does not score above 90. What can you say about “Riya gets a gold star”? (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: The school is closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If Diya wins the match, then Diya gets a medal. Fact: Diya does not win the match. What can you say about “Diya does not get a medal”? (a) must be true (b) must be false (c) can't tell
  7. 7.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
  8. 8.Rule: If the shop is open, then Ishaan buys milk. Fact: Ishaan buys 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 Meera finishes the homework, then Meera goes to the park. Fact: Meera does not go to the park. What can you say about “Meera finishes the homework”? (a) must be true (b) must be false (c) can't tell
  10. 10.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
  11. 11.Rule: If Tara finishes the homework, then Tara goes to the park. Fact: Tara finishes the homework. What can you say about “Tara does not go to the park”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If the plant gets water, then the plant stays green. Fact: The plant gets water. What can you say about “The plant stays green”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If Aditya wins the match, then Aditya gets a medal. Fact: Aditya wins the match. What can you say about “Aditya does not get a medal”? (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 goes to the park”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If Meera wins the match, then Meera gets a medal. Fact: Meera gets a medal. What can you say about “Meera wins the match”? (a) must be true (b) must be false (c) can't tell
  16. 16.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
  17. 17.Rule: If Isha wins the match, then Isha gets a medal. Fact: Isha does not get a medal. What can you say about “Isha does not win the match”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If the shop is open, then Omkar buys milk. Fact: The shop is not open. What can you say about “Omkar does not buy milk”? (a) must be true (b) must be false (c) can't tell
  19. 19.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
  20. 20.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
  21. 21.Rule: If Neel finishes the homework, then Neel goes to the park. Fact: Neel finishes the homework. What can you say about “Neel 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 does not stay green”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If the shop is open, then Ananya buys milk. Fact: The shop is not open. What can you say about “Ananya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If Aisha wins the match, then Aisha gets a medal. Fact: Aisha does not win the match. What can you say about “Aisha does not get a medal”? (a) must be true (b) must be false (c) can't tell
  25. 25.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
  26. 26.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
  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 closed”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If Riya finishes the homework, then Riya goes to the park. Fact: Riya finishes the homework. What can you say about “Riya goes to the park”? (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 class starts. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If Isha wins the match, then Isha gets a medal. Fact: Isha gets a medal. What can you say about “Isha wins the match”? (a) must be true (b) must be false (c) can't tell
  31. 31.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
  32. 32.Rule: If the shop is open, then Farhan buys milk. Fact: The shop is not open. What can you say about “Farhan buys milk”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If the shop is open, then Rahul buys milk. Fact: The shop is open. What can you say about “Rahul does not buy milk”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If Aisha finishes the homework, then Aisha goes to the park. Fact: Aisha finishes the homework. What can you say about “Aisha does not go to the park”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.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
  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 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
  39. 39.Rule: If Aarav scores above 90, then Aarav gets a gold star. Fact: Aarav does not score above 90. What can you say about “Aarav does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If Aarav wins the match, then Aarav gets a medal. Fact: Aarav gets 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

Answer key

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

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