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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 580 · 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 shop is open, then Kavya buys milk. Fact: The shop is not open. What can you say about “Kavya buys milk”? (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 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
  3. 3.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
  4. 4.Rule: If the shop is open, then Tara buys milk. Fact: Tara 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
  5. 5.Rule: If the shop is open, then Aarav buys milk. Fact: The shop is not open. What can you say about “Aarav buys milk”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If Aarav finishes the homework, then Aarav goes to the park. Fact: Aarav does not go to the park. What can you say about “Aarav does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If the shop is open, then Zoya buys milk. Fact: The shop is not open. What can you say about “Zoya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If Tara scores above 90, then Tara gets a gold star. Fact: Tara scores above 90. What can you say about “Tara does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  9. 9.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
  10. 10.Rule: If Rohan wins the match, then Rohan gets a medal. Fact: Rohan wins the match. What can you say about “Rohan gets a medal”? (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 Sunday. What can you say about “The school is not closed”? (a) must be true (b) must be false (c) can't tell
  12. 12.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
  13. 13.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
  14. 14.Rule: If Rohan scores above 90, then Rohan gets a gold star. Fact: Rohan scores above 90. What can you say about “Rohan does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  15. 15.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
  16. 16.Rule: If the shop is open, then Sneha buys milk. Fact: The shop is not open. What can you say about “Sneha buys milk”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If Zoya wins the match, then Zoya gets a medal. Fact: Zoya gets a medal. What can you say about “Zoya wins the match”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If Sneha scores above 90, then Sneha gets a gold star. Fact: Sneha scores above 90. What can you say about “Sneha gets a gold star”? (a) must be true (b) must be false (c) can't tell
  19. 19.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
  20. 20.Rule: If Ishaan finishes the homework, then Ishaan goes to the park. Fact: Ishaan does not finish the homework. What can you say about “Ishaan does not go to the park”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If the shop is open, then Aditya buys milk. Fact: Aditya 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
  22. 22.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
  23. 23.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
  24. 24.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
  25. 25.Rule: If Karan scores above 90, then Karan gets a gold star. Fact: Karan does not score above 90. What can you say about “Karan does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If Kabir scores above 90, then Kabir gets a gold star. Fact: Kabir does not get a gold star. What can you say about “Kabir does not score above 90”? (a) must be true (b) must be false (c) can't tell
  27. 27.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
  28. 28.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
  29. 29.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
  30. 30.Rule: If the shop is open, then Neel buys milk. Fact: Neel 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
  31. 31.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
  32. 32.Rule: If Neel finishes the homework, then Neel goes to the park. Fact: Neel goes to the park. What can you say about “Neel finishes the homework”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If Diya finishes the homework, then Diya goes to the park. Fact: Diya does not go to the park. What can you say about “Diya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If Meera wins the match, then Meera gets a medal. Fact: Meera does not get a medal. What can you say about “Meera wins the match”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.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
  37. 37.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
  38. 38.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
  39. 39.Rule: If Aditya wins the match, then Aditya gets a medal. Fact: Aditya does not get a medal. What can you say about “Aditya wins the match”? (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 gets water”? (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. must be true
  5. can't tell
  6. must be true
  7. can't tell
  8. must be false
  9. must be true
  10. must be true
  11. must be false
  12. must be true
  13. can't tell
  14. must be false
  15. can't tell
  16. can't tell
  17. can't tell
  18. must be true
  19. can't tell
  20. can't tell
  21. must be true
  22. can't tell
  23. must be false
  24. must be false
  25. can't tell
  26. must be true
  27. can't tell
  28. can't tell
  29. can't tell
  30. must be false
  31. can't tell
  32. can't tell
  33. must be false
  34. must be false
  35. must be false
  36. must be false
  37. must be false
  38. can't tell
  39. must be false
  40. must be false

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