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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 453 · 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 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
  2. 2.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
  3. 3.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
  4. 4.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
  5. 5.Rule: If Saanvi finishes the homework, then Saanvi goes to the park. Fact: Saanvi does not finish the homework. What can you say about “Saanvi goes to the park”? (a) must be true (b) must be false (c) can't tell
  6. 6.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
  7. 7.Rule: If Diya wins the match, then Diya gets a medal. Fact: Diya does not win the match. What can you say about “Diya does not get a medal”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If Karan scores above 90, then Karan gets a gold star. Fact: Karan scores above 90. What can you say about “Karan gets a gold star”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If Neel wins the match, then Neel gets a medal. Fact: Neel wins the match. What can you say about “Neel gets a medal”? (a) must be true (b) must be false (c) can't tell
  10. 10.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
  11. 11.Rule: If Myra scores above 90, then Myra gets a gold star. Fact: Myra does not get a gold star. What can you say about “Myra scores above 90”? (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: 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
  13. 13.Rule: If the bell rings, then the class starts. Fact: The class starts. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun does not go to the park. What can you say about “Arjun does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  15. 15.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
  16. 16.Rule: If the shop is open, then Pooja buys milk. Fact: The shop is not open. What can you say about “Pooja buys milk”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If Priya scores above 90, then Priya gets a gold star. Fact: Priya does not score above 90. What can you say about “Priya does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If the shop is open, then Tara buys milk. Fact: The shop is open. What can you say about “Tara does not buy milk”? (a) must be true (b) must be false (c) can't tell
  19. 19.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
  20. 20.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
  21. 21.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
  22. 22.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 does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  23. 23.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
  24. 24.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
  25. 25.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
  26. 26.Rule: If Arjun wins the match, then Arjun gets a medal. Fact: Arjun gets a medal. What can you say about “Arjun wins the match”? (a) must be true (b) must be false (c) can't tell
  27. 27.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
  28. 28.Rule: If Meera scores above 90, then Meera gets a gold star. Fact: Meera does not get a gold star. What can you say about “Meera does not score above 90”? (a) must be true (b) must be false (c) can't tell
  29. 29.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
  30. 30.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
  31. 31.Rule: If Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya does not finish the homework. What can you say about “Aditya goes to the park”? (a) must be true (b) must be false (c) can't tell
  32. 32.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
  33. 33.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 does not go to the park”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If the shop is open, then Saanvi buys milk. Fact: The shop is open. What can you say about “Saanvi buys milk”? (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 does not buy milk”? (a) must be true (b) must be false (c) can't tell
  36. 36.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
  37. 37.Rule: If Ananya wins the match, then Ananya gets a medal. Fact: Ananya gets a medal. What can you say about “Ananya wins the match”? (a) must be true (b) must be false (c) can't tell
  38. 38.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
  39. 39.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
  40. 40.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

Answer key

  1. can't tell
  2. must be false
  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. can't tell
  11. must be false
  12. must be false
  13. can't tell
  14. must be true
  15. must be false
  16. can't tell
  17. can't tell
  18. must be false
  19. must be true
  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. can't tell
  27. must be false
  28. must be true
  29. can't tell
  30. must be true
  31. can't tell
  32. must be false
  33. can't tell
  34. must be true
  35. can't tell
  36. can't tell
  37. can't tell
  38. must be true
  39. can't tell
  40. can't tell

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