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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 169 · 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 Kabir scores above 90, then Kabir gets a gold star. Fact: Kabir gets a gold star. What can you say about “Kabir scores above 90”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If it rains, then the road gets wet. Fact: The road does not get wet. What can you say about “It does not rain”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If Omkar scores above 90, then Omkar gets a gold star. Fact: Omkar scores above 90. What can you say about “Omkar does not get a gold star”? (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 gets water. What can you say about “The plant stays green”? (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: It is Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
  6. 6.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
  7. 7.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
  8. 8.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
  9. 9.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
  10. 10.Rule: If the shop is open, then Saanvi buys milk. Fact: Saanvi 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
  11. 11.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
  12. 12.Rule: If Rahul wins the match, then Rahul gets a medal. Fact: Rahul does not get 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
  13. 13.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
  14. 14.Rule: If the shop is open, then Isha buys milk. Fact: The shop is not open. What can you say about “Isha buys milk”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If Aditya scores above 90, then Aditya gets a gold star. Fact: Aditya gets a gold star. What can you say about “Aditya scores above 90”? (a) must be true (b) must be false (c) can't tell
  16. 16.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
  17. 17.Rule: If Aarav finishes the homework, then Aarav goes to the park. Fact: Aarav does not go to the park. What can you say about “Aarav finishes the homework”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If Zoya wins the match, then Zoya gets a medal. Fact: Zoya gets a medal. What can you say about “Zoya wins the match”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If Saanvi wins the match, then Saanvi gets a medal. Fact: Saanvi wins the match. What can you say about “Saanvi does not get a medal”? (a) must be true (b) must be false (c) can't tell
  20. 20.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
  21. 21.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
  22. 22.Rule: If the shop is open, then Vivaan buys milk. Fact: The shop is open. What can you say about “Vivaan buys milk”? (a) must be true (b) must be false (c) can't tell
  23. 23.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
  24. 24.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
  25. 25.Rule: If Aisha finishes the homework, then Aisha goes to the park. Fact: Aisha finishes the homework. What can you say about “Aisha goes to the park”? (a) must be true (b) must be false (c) can't tell
  26. 26.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 do not stop”? (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: 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
  28. 28.Rule: If the shop is open, then Dev buys milk. Fact: The shop is not open. What can you say about “Dev buys milk”? (a) must be true (b) must be false (c) can't tell
  29. 29.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
  30. 30.Rule: If Vivaan scores above 90, then Vivaan gets a gold star. Fact: Vivaan scores above 90. What can you say about “Vivaan gets a gold star”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If the shop is open, then Rohan buys milk. Fact: The shop is not open. What can you say about “Rohan buys milk”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If the shop is open, then Karan buys milk. Fact: The shop is open. What can you say about “Karan buys milk”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If the shop is open, then Meera buys milk. Fact: Meera 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
  34. 34.Rule: If Aarav finishes the homework, then Aarav goes to the park. Fact: Aarav goes to the park. What can you say about “Aarav finishes the homework”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If the shop is open, then Diya buys milk. Fact: The shop is not open. What can you say about “Diya buys milk”? (a) must be true (b) must be false (c) can't tell
  36. 36.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
  37. 37.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
  38. 38.Rule: If Neel scores above 90, then Neel gets a gold star. Fact: Neel gets a gold star. What can you say about “Neel scores above 90”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Kabir finishes the homework, then Kabir goes to the park. Fact: Kabir goes to the park. What can you say about “Kabir finishes the homework”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If Saanvi finishes the homework, then Saanvi goes to the park. Fact: Saanvi does not go to the park. What can you say about “Saanvi does not finish the homework”? (a) must be true (b) must be false (c) can't tell

Answer key

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