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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 451 · 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.

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  1. 1.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
  2. 2.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
  3. 3.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
  4. 4.Rule: If Tara finishes the homework, then Tara goes to the park. Fact: Tara finishes the homework. What can you say about “Tara goes to the park”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If the shop is open, then Neel buys milk. Fact: Neel buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  6. 6.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
  7. 7.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
  8. 8.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
  9. 9.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
  10. 10.Rule: If the shop is open, then Myra buys milk. Fact: Myra 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
  11. 11.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
  12. 12.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
  13. 13.Rule: If Pooja scores above 90, then Pooja gets a gold star. Fact: Pooja does not get a gold star. What can you say about “Pooja scores above 90”? (a) must be true (b) must be false (c) can't tell
  14. 14.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
  15. 15.Rule: If the shop is open, then Kavya buys milk. Fact: The shop is open. What can you say about “Kavya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  16. 16.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
  17. 17.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
  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 Aditya wins the match, then Aditya gets a medal. Fact: Aditya does not win 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
  20. 20.Rule: If Priya scores above 90, then Priya gets a gold star. Fact: Priya gets a gold star. What can you say about “Priya scores above 90”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If Zoya finishes the homework, then Zoya goes to the park. Fact: Zoya goes to the park. What can you say about “Zoya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  22. 22.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
  23. 23.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
  24. 24.Rule: If Diya finishes the homework, then Diya goes to the park. Fact: Diya goes to the park. What can you say about “Diya does not finish the homework”? (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 Aditya wins the match, then Aditya gets a medal. Fact: Aditya does not get a medal. What can you say about “Aditya does not win the match”? (a) must be true (b) must be false (c) can't tell
  27. 27.Rule: If Dev scores above 90, then Dev gets a gold star. Fact: Dev does not score above 90. What can you say about “Dev gets a gold star”? (a) must be true (b) must be false (c) can't tell
  28. 28.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
  29. 29.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
  30. 30.Rule: If Manav scores above 90, then Manav gets a gold star. Fact: Manav gets a gold star. What can you say about “Manav scores above 90”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Neel scores above 90, then Neel gets a gold star. Fact: Neel does not get a gold star. What can you say about “Neel scores above 90”? (a) must be true (b) must be false (c) can't tell
  32. 32.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
  33. 33.Rule: If Yash finishes the homework, then Yash goes to the park. Fact: Yash finishes the homework. What can you say about “Yash 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 closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.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
  37. 37.Rule: If the shop is open, then Aditya buys milk. Fact: The shop is not open. What can you say about “Aditya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If the shop is open, then Meera buys milk. Fact: The shop is not open. What can you say about “Meera buys milk”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Kabir wins the match, then Kabir gets a medal. Fact: Kabir wins the match. What can you say about “Kabir gets a medal”? (a) must be true (b) must be false (c) can't tell
  40. 40.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

Answer key

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

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