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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 130 · 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 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
  2. 2.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
  3. 3.Rule: If the bell rings, then the class starts. Fact: The bell does not ring. What can you say about “The class does not start”? (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 not 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 not Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If Rahul finishes the homework, then Rahul goes to the park. Fact: Rahul finishes the homework. What can you say about “Rahul does not go to the park”? (a) must be true (b) must be false (c) can't tell
  7. 7.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
  8. 8.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
  9. 9.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
  10. 10.Rule: If the shop is open, then Nisha buys milk. Fact: The shop is open. What can you say about “Nisha does not buy milk”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If Yash finishes the homework, then Yash goes to the park. Fact: Yash finishes the homework. What can you say about “Yash goes to the park”? (a) must be true (b) must be false (c) can't tell
  12. 12.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
  13. 13.Rule: If Tara scores above 90, then Tara gets a gold star. Fact: Tara does not get a gold star. What can you say about “Tara does not score above 90”? (a) must be true (b) must be false (c) can't tell
  14. 14.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
  15. 15.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
  16. 16.Rule: If Kavya wins the match, then Kavya gets a medal. Fact: Kavya does not get a medal. What can you say about “Kavya wins the match”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If Nisha finishes the homework, then Nisha goes to the park. Fact: Nisha does not go to the park. What can you say about “Nisha finishes the homework”? (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 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
  20. 20.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
  21. 21.Rule: If the shop is open, then Zoya buys milk. Fact: The shop is not open. What can you say about “Zoya buys milk”? (a) must be true (b) must be false (c) can't tell
  22. 22.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
  23. 23.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
  24. 24.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
  25. 25.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
  26. 26.Rule: If Nisha finishes the homework, then Nisha goes to the park. Fact: Nisha finishes the homework. What can you say about “Nisha does not go to the park”? (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 Ishaan scores above 90, then Ishaan gets a gold star. Fact: Ishaan scores above 90. What can you say about “Ishaan does not get a gold star”? (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 open”? (a) must be true (b) must be false (c) can't tell
  30. 30.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
  31. 31.Rule: If the shop is open, then Ishaan buys milk. Fact: Ishaan buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If Ira wins the match, then Ira gets a medal. Fact: Ira wins the match. What can you say about “Ira does not get a medal”? (a) must be true (b) must be false (c) can't tell
  33. 33.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
  34. 34.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
  35. 35.Rule: If the shop is open, then Pooja buys milk. Fact: Pooja buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Kabir scores above 90, then Kabir gets a gold star. Fact: Kabir scores 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
  37. 37.Rule: If the shop is open, then Priya buys milk. Fact: The shop is open. What can you say about “Priya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If Sneha wins the match, then Sneha gets a medal. Fact: Sneha wins the match. What can you say about “Sneha gets a medal”? (a) must be true (b) must be false (c) can't tell
  39. 39.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
  40. 40.Rule: If Isha wins the match, then Isha gets a medal. Fact: Isha gets a medal. What can you say about “Isha wins the match”? (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. must be true
  12. can't tell
  13. must be true
  14. can't tell
  15. must be true
  16. must be false
  17. must be false
  18. can't tell
  19. must be true
  20. must be true
  21. can't tell
  22. must be true
  23. must be false
  24. must be true
  25. can't tell
  26. must be false
  27. can't tell
  28. must be false
  29. can't tell
  30. can't tell
  31. can't tell
  32. must be false
  33. must be false
  34. can't tell
  35. can't tell
  36. must be false
  37. must be false
  38. must be true
  39. must be true
  40. can't tell

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