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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 73 · 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 Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar does not finish the homework. What can you say about “Omkar does not go to the park”? (a) must be true (b) must be false (c) can't tell
  2. 2.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
  3. 3.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
  4. 4.Rule: If Ananya finishes the homework, then Ananya goes to the park. Fact: Ananya does not go to the park. What can you say about “Ananya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  5. 5.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
  6. 6.Rule: If Pooja scores above 90, then Pooja gets a gold star. Fact: Pooja does not get a gold star. What can you say about “Pooja scores above 90”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If the shop is open, then Nisha buys milk. Fact: Nisha 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
  8. 8.Rule: If Rahul finishes the homework, then Rahul goes to the park. Fact: Rahul does not go to the park. What can you say about “Rahul finishes the homework”? (a) must be true (b) must be false (c) can't tell
  9. 9.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
  10. 10.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
  11. 11.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
  12. 12.Rule: If Rohan wins the match, then Rohan gets a medal. Fact: Rohan gets a medal. What can you say about “Rohan wins the match”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If Pooja wins the match, then Pooja gets a medal. Fact: Pooja does not get a medal. What can you say about “Pooja wins the match”? (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: 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
  15. 15.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
  16. 16.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
  17. 17.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
  18. 18.Rule: If the shop is open, then Isha buys milk. Fact: The shop is not open. What can you say about “Isha does not buy milk”? (a) must be true (b) must be false (c) can't tell
  19. 19.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
  20. 20.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
  21. 21.Rule: If the shop is open, then Arjun buys milk. Fact: Arjun 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 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
  23. 23.Rule: If the shop is open, then Sneha buys milk. Fact: Sneha buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If Siddharth finishes the homework, then Siddharth goes to the park. Fact: Siddharth does not finish the homework. What can you say about “Siddharth does not go to the park”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Ananya finishes the homework, then Ananya goes to the park. Fact: Ananya finishes the homework. What can you say about “Ananya goes to the park”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If the shop is open, then Kabir buys milk. Fact: Kabir buys 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 the shop is open, then Aarav buys milk. Fact: The shop is open. What can you say about “Aarav buys milk”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If the shop is open, then Kavya buys milk. Fact: Kavya 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
  29. 29.Rule: If Siddharth finishes the homework, then Siddharth goes to the park. Fact: Siddharth goes to the park. What can you say about “Siddharth does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If Siddharth wins the match, then Siddharth gets a medal. Fact: Siddharth does not win the match. What can you say about “Siddharth does not get a medal”? (a) must be true (b) must be false (c) can't tell
  31. 31.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
  32. 32.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
  33. 33.Rule: If the shop is open, then Vivaan buys milk. Fact: Vivaan 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
  34. 34.Rule: If Aisha scores above 90, then Aisha gets a gold star. Fact: Aisha gets a gold star. What can you say about “Aisha does not score above 90”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If the shop is open, then Omkar buys milk. Fact: The shop is not open. What can you say about “Omkar buys milk”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Aditya scores above 90, then Aditya gets a gold star. Fact: Aditya scores above 90. What can you say about “Aditya does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  37. 37.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
  38. 38.Rule: If Kavya scores above 90, then Kavya gets a gold star. Fact: Kavya does not score above 90. What can you say about “Kavya does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Karan wins the match, then Karan gets a medal. Fact: Karan wins the match. What can you say about “Karan gets a medal”? (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 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

Answer key

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

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