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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 138 · 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 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
  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 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
  4. 4.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar finishes the homework. What can you say about “Omkar goes to the park”? (a) must be true (b) must be false (c) can't tell
  5. 5.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
  6. 6.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
  7. 7.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
  8. 8.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
  9. 9.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
  10. 10.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
  11. 11.Rule: If the shop is open, then Dev buys milk. Fact: Dev 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
  12. 12.Rule: If the shop is open, then Arjun buys milk. Fact: The shop is not open. What can you say about “Arjun buys milk”? (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 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
  14. 14.Rule: If Riya wins the match, then Riya gets a medal. Fact: Riya wins the match. What can you say about “Riya gets a medal”? (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 traffic light is not red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If Saanvi finishes the homework, then Saanvi goes to the park. Fact: Saanvi finishes the homework. What can you say about “Saanvi does not go to the park”? (a) must be true (b) must be false (c) can't tell
  17. 17.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
  18. 18.Rule: If Sneha finishes the homework, then Sneha goes to the park. Fact: Sneha finishes the homework. What can you say about “Sneha does not go to the park”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If Diya wins the match, then Diya gets a medal. Fact: Diya gets a medal. What can you say about “Diya wins the match”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If Sneha finishes the homework, then Sneha goes to the park. Fact: Sneha does not go to the park. What can you say about “Sneha finishes the homework”? (a) must be true (b) must be false (c) can't tell
  21. 21.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
  22. 22.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
  23. 23.Rule: If Isha wins the match, then Isha gets a medal. Fact: Isha gets a medal. What can you say about “Isha wins the match”? (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 rains. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If the shop is open, then Saanvi buys milk. Fact: The shop is open. What can you say about “Saanvi does not buy milk”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If Ira scores above 90, then Ira gets a gold star. Fact: Ira gets a gold star. What can you say about “Ira does not score above 90”? (a) must be true (b) must be false (c) can't tell
  27. 27.Rule: If Neel finishes the homework, then Neel goes to the park. Fact: Neel does not finish the homework. What can you say about “Neel does not go to the park”? (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 closed”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If Rohan wins the match, then Rohan gets a medal. Fact: Rohan does not win the match. What can you say about “Rohan gets a medal”? (a) must be true (b) must be false (c) can't tell
  30. 30.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
  31. 31.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
  32. 32.Rule: If Dev scores above 90, then Dev gets a gold star. Fact: Dev gets a gold star. What can you say about “Dev does not score above 90”? (a) must be true (b) must be false (c) can't tell
  33. 33.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
  34. 34.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
  35. 35.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
  36. 36.Rule: If Neel finishes the homework, then Neel goes to the park. Fact: Neel does not finish the homework. What can you say about “Neel goes to the park”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If Kavya wins the match, then Kavya gets a medal. Fact: Kavya does not win the match. What can you say about “Kavya gets a medal”? (a) must be true (b) must be false (c) can't tell
  38. 38.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
  39. 39.Rule: If Meera finishes the homework, then Meera goes to the park. Fact: Meera does not go to the park. What can you say about “Meera finishes the homework”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If Aarav scores above 90, then Aarav gets a gold star. Fact: Aarav scores above 90. What can you say about “Aarav gets 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. can't tell
  4. must be true
  5. must be true
  6. can't tell
  7. must be false
  8. must be true
  9. must be false
  10. must be false
  11. must be true
  12. can't tell
  13. can't tell
  14. must be true
  15. can't tell
  16. must be false
  17. must be true
  18. must be false
  19. can't tell
  20. must be false
  21. must be true
  22. can't tell
  23. can't tell
  24. must be false
  25. must be false
  26. can't tell
  27. can't tell
  28. must be true
  29. can't tell
  30. can't tell
  31. must be false
  32. can't tell
  33. must be true
  34. can't tell
  35. must be true
  36. can't tell
  37. can't tell
  38. can't tell
  39. must be false
  40. must be true

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