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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 199 · 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.

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  1. 1.Rule: If the shop is open, then Karan buys milk. Fact: The shop is not open. What can you say about “Karan buys milk”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If Rahul wins the match, then Rahul gets a medal. Fact: Rahul wins the match. What can you say about “Rahul gets a medal”? (a) must be true (b) must be false (c) can't tell
  3. 3.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
  4. 4.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
  5. 5.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
  6. 6.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
  7. 7.Rule: If Zoya scores above 90, then Zoya gets a gold star. Fact: Zoya scores above 90. What can you say about “Zoya does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If Aditya scores above 90, then Aditya gets a gold star. Fact: Aditya does not score above 90. What can you say about “Aditya gets a gold star”? (a) must be true (b) must be false (c) can't tell
  9. 9.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
  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 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
  12. 12.Rule: If Karan wins the match, then Karan gets a medal. Fact: Karan does not win the match. What can you say about “Karan does not get a medal”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If Dev finishes the homework, then Dev goes to the park. Fact: Dev finishes the homework. What can you say about “Dev goes to the park”? (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 bell does not ring. What can you say about “The class starts”? (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 class starts. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
  16. 16.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
  17. 17.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
  18. 18.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
  19. 19.Rule: If Ishaan finishes the homework, then Ishaan goes to the park. Fact: Ishaan finishes the homework. What can you say about “Ishaan goes to the park”? (a) must be true (b) must be false (c) can't tell
  20. 20.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
  21. 21.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
  22. 22.Rule: If Meera finishes the homework, then Meera goes to the park. Fact: Meera does not go to the park. What can you say about “Meera does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  23. 23.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
  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 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
  26. 26.Rule: If Aarav scores above 90, then Aarav gets a gold star. Fact: Aarav does not score above 90. What can you say about “Aarav gets a gold star”? (a) must be true (b) must be false (c) can't tell
  27. 27.Rule: If Zoya scores above 90, then Zoya gets a gold star. Fact: Zoya scores above 90. What can you say about “Zoya gets a gold star”? (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 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
  30. 30.Rule: If the shop is open, then Isha buys milk. Fact: The shop is open. What can you say about “Isha does not buy milk”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Vivaan wins the match, then Vivaan gets a medal. Fact: Vivaan does not get a medal. What can you say about “Vivaan wins the match”? (a) must be true (b) must be false (c) can't tell
  32. 32.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
  33. 33.Rule: If Kabir scores above 90, then Kabir gets a gold star. Fact: Kabir does not score above 90. What can you say about “Kabir does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  34. 34.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
  35. 35.Rule: If Karan finishes the homework, then Karan goes to the park. Fact: Karan goes to the park. What can you say about “Karan does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Kavya finishes the homework, then Kavya goes to the park. Fact: Kavya does not go to the park. What can you say about “Kavya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  37. 37.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
  38. 38.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
  39. 39.Rule: If the shop is open, then Neel buys milk. Fact: The shop is open. What can you say about “Neel buys milk”? (a) must be true (b) must be false (c) can't tell
  40. 40.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

Answer key

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

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