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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 609 · 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 Farhan scores above 90, then Farhan gets a gold star. Fact: Farhan gets a gold star. What can you say about “Farhan scores above 90”? (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 Sunday”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If Karan wins the match, then Karan gets a medal. Fact: Karan does not win the match. What can you say about “Karan gets a medal”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If the shop is open, then Arjun buys milk. Fact: Arjun buys milk. What can you say about “The shop is open”? (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 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
  6. 6.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
  7. 7.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
  8. 8.Rule: If Arjun scores above 90, then Arjun gets a gold star. Fact: Arjun does not get a gold star. What can you say about “Arjun scores above 90”? (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 rings. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
  10. 10.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
  11. 11.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
  12. 12.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
  13. 13.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
  14. 14.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
  15. 15.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
  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 Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya finishes the homework. What can you say about “Aditya goes to the park”? (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 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
  20. 20.Rule: If the shop is open, then Meera buys milk. Fact: Meera buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If Diya finishes the homework, then Diya goes to the park. Fact: Diya finishes the homework. What can you say about “Diya goes to the park”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If the shop is open, then Kabir buys milk. Fact: The shop is open. What can you say about “Kabir buys milk”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If Neel wins the match, then Neel gets a medal. Fact: Neel does not win the match. What can you say about “Neel gets a medal”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If the shop is open, then Saanvi buys milk. Fact: The shop is not open. What can you say about “Saanvi does not buy milk”? (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 gets water. What can you say about “The plant stays green”? (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 Sneha scores above 90, then Sneha gets a gold star. Fact: Sneha does not get a gold star. What can you say about “Sneha scores above 90”? (a) must be true (b) must be false (c) can't tell
  28. 28.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
  29. 29.Rule: If the shop is open, then Karan buys milk. Fact: Karan buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya goes to the park. What can you say about “Aditya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Rohan finishes the homework, then Rohan goes to the park. Fact: Rohan does not go to the park. What can you say about “Rohan finishes the homework”? (a) must be true (b) must be false (c) can't tell
  32. 32.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
  33. 33.Rule: If Dev scores above 90, then Dev gets a gold star. Fact: Dev does not get a gold star. What can you say about “Dev scores above 90”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If Aisha wins the match, then Aisha gets a medal. Fact: Aisha does not win the match. What can you say about “Aisha does not get a medal”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If Vivaan wins the match, then Vivaan gets a medal. Fact: Vivaan gets a medal. What can you say about “Vivaan does not win the match”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Aarav finishes the homework, then Aarav goes to the park. Fact: Aarav finishes the homework. What can you say about “Aarav does not go to the park”? (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 does not get wet. What can you say about “It rains”? (a) must be true (b) must be false (c) can't tell
  38. 38.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
  39. 39.Rule: If the shop is open, then Kabir buys milk. Fact: Kabir 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
  40. 40.Rule: If it rains, then the road gets wet. Fact: It does not rain. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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