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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 656 · 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 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
  2. 2.Rule: If the shop is open, then Riya buys milk. Fact: The shop is open. What can you say about “Riya buys milk”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If Manav scores above 90, then Manav gets a gold star. Fact: Manav does not get a gold star. What can you say about “Manav does not score above 90”? (a) must be true (b) must be false (c) can't tell
  4. 4.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
  5. 5.Rule: If Vivaan wins the match, then Vivaan gets a medal. Fact: Vivaan gets a medal. What can you say about “Vivaan does not win the match”? (a) must be true (b) must be false (c) can't tell
  6. 6.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
  7. 7.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
  8. 8.Rule: If Aditya scores above 90, then Aditya gets a gold star. Fact: Aditya scores above 90. What can you say about “Aditya gets a gold star”? (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 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 Neel finishes the homework, then Neel goes to the park. Fact: Neel does not go to the park. What can you say about “Neel finishes the homework”? (a) must be true (b) must be false (c) can't tell
  11. 11.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
  12. 12.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 not red”? (a) must be true (b) must be false (c) can't tell
  13. 13.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
  14. 14.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
  15. 15.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
  16. 16.Rule: If Aditya wins the match, then Aditya gets a medal. Fact: Aditya does not win the match. What can you say about “Aditya gets a medal”? (a) must be true (b) must be false (c) can't tell
  17. 17.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
  18. 18.Rule: If the shop is open, then Arjun buys milk. Fact: The shop is open. What can you say about “Arjun buys milk”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If Priya finishes the homework, then Priya goes to the park. Fact: Priya does not finish the homework. What can you say about “Priya goes to the park”? (a) must be true (b) must be false (c) can't tell
  20. 20.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
  21. 21.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
  22. 22.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
  23. 23.Rule: If Karan scores above 90, then Karan gets a gold star. Fact: Karan does not score above 90. What can you say about “Karan gets a gold star”? (a) must be true (b) must be false (c) can't tell
  24. 24.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
  25. 25.Rule: If the shop is open, then Rohan buys milk. Fact: Rohan buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If Pooja scores above 90, then Pooja gets a gold star. Fact: Pooja scores above 90. What can you say about “Pooja does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  27. 27.Rule: If the shop is open, then Ananya buys milk. Fact: The shop is open. What can you say about “Ananya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  28. 28.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
  29. 29.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
  30. 30.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
  31. 31.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
  32. 32.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
  33. 33.Rule: If Meera finishes the homework, then Meera goes to the park. Fact: Meera does not finish the homework. What can you say about “Meera goes to the park”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If Farhan wins the match, then Farhan gets a medal. Fact: Farhan wins the match. What can you say about “Farhan does not get a medal”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.Rule: If the shop is open, then Riya buys milk. Fact: The shop is 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 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
  38. 38.Rule: If Nisha finishes the homework, then Nisha goes to the park. Fact: Nisha finishes the homework. What can you say about “Nisha does not go to the park”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Priya finishes the homework, then Priya goes to the park. Fact: Priya finishes the homework. What can you say about “Priya goes to the park”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If Farhan scores above 90, then Farhan gets a gold star. Fact: Farhan scores above 90. What can you say about “Farhan does not get a gold star”? (a) must be true (b) must be false (c) can't tell

Answer key

  1. must be false
  2. must be true
  3. must be true
  4. must be true
  5. can't tell
  6. can't tell
  7. can't tell
  8. must be true
  9. must be true
  10. must be false
  11. can't tell
  12. must be true
  13. must be true
  14. can't tell
  15. must be false
  16. can't tell
  17. must be false
  18. must be true
  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 false
  27. must be false
  28. must be false
  29. can't tell
  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. must be false
  37. must be false
  38. must be false
  39. must be true
  40. must be false

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