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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 488 · 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 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
  2. 2.Rule: If the shop is open, then Rohan buys milk. Fact: Rohan 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
  3. 3.Rule: If Sneha finishes the homework, then Sneha goes to the park. Fact: Sneha goes to the park. What can you say about “Sneha does not finish the homework”? (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 Isha scores above 90, then Isha gets a gold star. Fact: Isha does not score above 90. What can you say about “Isha does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  6. 6.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
  7. 7.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
  8. 8.Rule: If Yash scores above 90, then Yash gets a gold star. Fact: Yash scores above 90. What can you say about “Yash gets a gold star”? (a) must be true (b) must be false (c) can't tell
  9. 9.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
  10. 10.Rule: If Ishaan scores above 90, then Ishaan gets a gold star. Fact: Ishaan does not score above 90. What can you say about “Ishaan gets a gold star”? (a) must be true (b) must be false (c) can't tell
  11. 11.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
  12. 12.Rule: If Kabir finishes the homework, then Kabir goes to the park. Fact: Kabir finishes the homework. What can you say about “Kabir does not go to the park”? (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 class starts. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If Ishaan scores above 90, then Ishaan gets a gold star. Fact: Ishaan does not get a gold star. What can you say about “Ishaan scores above 90”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If Rahul scores above 90, then Rahul gets a gold star. Fact: Rahul gets a gold star. What can you say about “Rahul does not score above 90”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If the shop is open, then Kabir buys milk. Fact: The shop is not open. What can you say about “Kabir buys milk”? (a) must be true (b) must be false (c) can't tell
  17. 17.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
  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 Aisha finishes the homework, then Aisha goes to the park. Fact: Aisha goes to the park. What can you say about “Aisha finishes the homework”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If Priya finishes the homework, then Priya goes to the park. Fact: Priya does not go to the park. What can you say about “Priya does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If Vivaan finishes the homework, then Vivaan goes to the park. Fact: Vivaan does not finish the homework. What can you say about “Vivaan goes to the park”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If Kabir finishes the homework, then Kabir goes to the park. Fact: Kabir does not finish the homework. What can you say about “Kabir goes to the park”? (a) must be true (b) must be false (c) can't tell
  23. 23.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
  24. 24.Rule: If Sneha wins the match, then Sneha gets a medal. Fact: Sneha does not win the match. What can you say about “Sneha gets a medal”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Tara wins the match, then Tara gets a medal. Fact: Tara wins the match. What can you say about “Tara gets a medal”? (a) must be true (b) must be false (c) can't tell
  26. 26.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
  27. 27.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
  28. 28.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
  29. 29.Rule: If Manav finishes the homework, then Manav goes to the park. Fact: Manav does not finish the homework. What can you say about “Manav goes to the park”? (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 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
  32. 32.Rule: If the shop is open, then Priya buys milk. Fact: Priya 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
  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 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
  35. 35.Rule: If the traffic light is red, then the cars stop. Fact: The cars stop. What can you say about “The traffic light is not red”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Ananya finishes the homework, then Ananya goes to the park. Fact: Ananya does not go to the park. What can you say about “Ananya does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  37. 37.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
  38. 38.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
  39. 39.Rule: If Aisha scores above 90, then Aisha gets a gold star. Fact: Aisha does not score above 90. What can you say about “Aisha gets a gold star”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If Arjun scores above 90, then Arjun gets a gold star. Fact: Arjun does not score 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

Answer key

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

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