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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 481 · 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.

NameDateTime takenScore ___ / 40
  1. 1.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
  2. 2.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
  3. 3.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
  4. 4.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
  5. 5.Rule: If the shop is open, then Siddharth buys milk. Fact: The shop is open. What can you say about “Siddharth does not buy milk”? (a) must be true (b) must be false (c) can't tell
  6. 6.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
  7. 7.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
  8. 8.Rule: If Aisha scores above 90, then Aisha gets a gold star. Fact: Aisha does not get a gold star. What can you say about “Aisha scores above 90”? (a) must be true (b) must be false (c) can't tell
  9. 9.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
  10. 10.Rule: If the shop is open, then Siddharth buys milk. Fact: The shop is not open. What can you say about “Siddharth does not buy milk”? (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 gets water. What can you say about “The plant stays green”? (a) must be true (b) must be false (c) can't tell
  12. 12.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
  13. 13.Rule: If the shop is open, then Manav buys milk. Fact: The shop is open. What can you say about “Manav buys milk”? (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 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 Rohan finishes the homework, then Rohan goes to the park. Fact: Rohan goes to the park. What can you say about “Rohan does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  17. 17.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
  18. 18.Rule: If Aarav wins the match, then Aarav gets a medal. Fact: Aarav wins the match. What can you say about “Aarav does not get a medal”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If the shop is open, then Saanvi buys milk. Fact: Saanvi buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If the shop is open, then Diya buys milk. Fact: The shop is not open. What can you say about “Diya buys milk”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If Farhan scores above 90, then Farhan gets a gold star. Fact: Farhan does not get a gold star. What can you say about “Farhan scores above 90”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If Yash scores above 90, then Yash gets a gold star. Fact: Yash gets a gold star. What can you say about “Yash does not score above 90”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If the shop is open, then Kavya buys milk. Fact: The shop is not open. What can you say about “Kavya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If the shop is open, then Aisha buys milk. Fact: The shop is open. What can you say about “Aisha buys milk”? (a) must be true (b) must be false (c) can't tell
  25. 25.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
  26. 26.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
  27. 27.Rule: If Manav finishes the homework, then Manav goes to the park. Fact: Manav does not finish the homework. What can you say about “Manav 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 not 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 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
  30. 30.Rule: If the shop is open, then Ira buys milk. Fact: The shop is not open. What can you say about “Ira buys milk”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If the shop is open, then Nisha buys milk. Fact: Nisha buys milk. What can you say about “The shop is not open”? (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 gets a gold star. What can you say about “Pooja does not score above 90”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If Ira scores above 90, then Ira gets a gold star. Fact: Ira scores above 90. What can you say about “Ira gets a gold star”? (a) must be true (b) must be false (c) can't tell
  34. 34.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
  35. 35.Rule: If the shop is open, then Aditya buys milk. Fact: Aditya buys milk. What can you say about “The shop is open”? (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 cars stop. What can you say about “The traffic light is not red”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If Isha wins the match, then Isha gets a medal. Fact: Isha wins the match. What can you say about “Isha gets a medal”? (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 does not stay green”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Nisha finishes the homework, then Nisha goes to the park. Fact: Nisha does not finish 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
  40. 40.Rule: If Rohan finishes the homework, then Rohan goes to the park. Fact: Rohan does not finish the homework. What can you say about “Rohan does not go to the park”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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