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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 48 · 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 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
  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 Isha scores above 90, then Isha gets a gold star. Fact: Isha scores above 90. What can you say about “Isha gets a gold star”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If Rahul wins the match, then Rahul gets a medal. Fact: Rahul does not get a medal. What can you say about “Rahul wins the match”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If Aisha finishes the homework, then Aisha goes to the park. Fact: Aisha does not finish the homework. What can you say about “Aisha goes to the park”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If the shop is open, then Nisha buys milk. Fact: The shop is not open. What can you say about “Nisha does not buy milk”? (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 stays 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 the shop is open, then Aarav buys milk. Fact: Aarav buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  9. 9.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
  10. 10.Rule: If Farhan finishes the homework, then Farhan goes to the park. Fact: Farhan finishes the homework. What can you say about “Farhan does not go to the park”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If the shop is open, then Rohan buys milk. Fact: Rohan buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  12. 12.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
  13. 13.Rule: If Meera scores above 90, then Meera gets a gold star. Fact: Meera scores above 90. What can you say about “Meera gets a gold star”? (a) must be true (b) must be false (c) can't tell
  14. 14.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
  15. 15.Rule: If Nisha scores above 90, then Nisha gets a gold star. Fact: Nisha gets a gold star. What can you say about “Nisha scores above 90”? (a) must be true (b) must be false (c) can't tell
  16. 16.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
  17. 17.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
  18. 18.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
  19. 19.Rule: If the shop is open, then Zoya buys milk. Fact: The shop is open. What can you say about “Zoya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  20. 20.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
  21. 21.Rule: If Farhan scores above 90, then Farhan gets a gold star. Fact: Farhan does not score 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
  22. 22.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
  23. 23.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
  24. 24.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
  25. 25.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
  26. 26.Rule: If the shop is open, then Karan buys milk. Fact: Karan 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
  27. 27.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
  28. 28.Rule: If the shop is open, then Siddharth buys milk. Fact: Siddharth buys milk. What can you say about “The shop is not open”? (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 does not go 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 the shop is open, then Priya buys milk. Fact: Priya buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Vivaan scores above 90, then Vivaan gets a gold star. Fact: Vivaan does not get a gold star. What can you say about “Vivaan does not score above 90”? (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 does not rain. What can you say about “The road gets wet”? (a) must be true (b) must be false (c) can't tell
  33. 33.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
  34. 34.Rule: If the shop is open, then Karan buys milk. Fact: Karan 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
  35. 35.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 goes to the park”? (a) must be true (b) must be false (c) can't tell
  36. 36.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
  37. 37.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
  38. 38.Rule: If Isha finishes the homework, then Isha goes to the park. Fact: Isha finishes the homework. What can you say about “Isha does not go to the park”? (a) must be true (b) must be false (c) can't tell
  39. 39.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
  40. 40.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

Answer key

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

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