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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 195 · 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 Yash finishes the homework, then Yash goes to the park. Fact: Yash does not finish the homework. What can you say about “Yash goes to the park”? (a) must be true (b) must be false (c) can't tell
  2. 2.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
  3. 3.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
  4. 4.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 does not score above 90”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If the shop is open, then Omkar buys milk. Fact: Omkar buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If the shop is open, then Isha buys milk. Fact: Isha buys milk. What can you say about “The shop is not open”? (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 gets water. What can you say about “The plant stays green”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya finishes the homework. What can you say about “Aditya goes to the park”? (a) must be true (b) must be false (c) can't tell
  9. 9.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
  10. 10.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
  11. 11.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
  12. 12.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
  13. 13.Rule: If Dev scores above 90, then Dev gets a gold star. Fact: Dev scores above 90. What can you say about “Dev gets a gold star”? (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: 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
  15. 15.Rule: If Ananya scores above 90, then Ananya gets a gold star. Fact: Ananya scores above 90. What can you say about “Ananya does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  16. 16.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
  17. 17.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
  18. 18.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
  19. 19.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
  20. 20.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
  21. 21.Rule: If Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya goes to the park. What can you say about “Aditya finishes 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 class does not start. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  23. 23.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
  24. 24.Rule: If Karan wins the match, then Karan gets a medal. Fact: Karan does not get a medal. What can you say about “Karan does not win the match”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If the shop is open, then Manav buys milk. Fact: Manav 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
  26. 26.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
  27. 27.Rule: If Karan finishes the homework, then Karan goes to the park. Fact: Karan does not finish the homework. What can you say about “Karan goes to the park”? (a) must be true (b) must be false (c) can't tell
  28. 28.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
  29. 29.Rule: If the shop is open, then Priya buys milk. Fact: The shop is open. What can you say about “Priya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  30. 30.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
  31. 31.Rule: If Kabir wins the match, then Kabir gets a medal. Fact: Kabir gets a medal. What can you say about “Kabir wins the match”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If Pooja scores above 90, then Pooja gets a gold star. Fact: Pooja does not score above 90. What can you say about “Pooja gets a gold star”? (a) must be true (b) must be false (c) can't tell
  33. 33.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
  34. 34.Rule: If the shop is open, then Rohan buys milk. Fact: The shop is open. What can you say about “Rohan does not buy milk”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.Rule: If the shop is open, then Riya buys milk. Fact: The shop is not open. What can you say about “Riya does not buy milk”? (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 stays green”? (a) must be true (b) must be false (c) can't tell
  38. 38.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
  39. 39.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
  40. 40.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

Answer key

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

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