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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 192 · 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 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
  2. 2.Rule: If the shop is open, then Zoya buys milk. Fact: Zoya 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
  3. 3.Rule: If Yash wins the match, then Yash gets a medal. Fact: Yash does not get a medal. What can you say about “Yash does not win the match”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If the shop is open, then Diya buys milk. Fact: The shop is open. What can you say about “Diya does not buy milk”? (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 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
  6. 6.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
  7. 7.Rule: If Nisha wins the match, then Nisha gets a medal. Fact: Nisha does not win the match. What can you say about “Nisha gets a medal”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If the shop is open, then Meera buys milk. Fact: The shop is open. What can you say about “Meera does not buy milk”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If Saanvi finishes the homework, then Saanvi goes to the park. Fact: Saanvi finishes the homework. What can you say about “Saanvi does not go to the park”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If Myra finishes the homework, then Myra goes to the park. Fact: Myra goes to the park. What can you say about “Myra finishes the homework”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If Rohan wins the match, then Rohan gets a medal. Fact: Rohan wins the match. What can you say about “Rohan does not get a medal”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If the shop is open, then Karan buys milk. Fact: The shop is open. What can you say about “Karan does not buy milk”? (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 do not 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 shop is open, then Pooja buys milk. Fact: Pooja buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If the shop is open, then Arjun buys milk. Fact: The shop is open. What can you say about “Arjun does not buy milk”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If the bell rings, then the class starts. Fact: The class does not start. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  17. 17.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
  18. 18.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
  19. 19.Rule: If Karan wins the match, then Karan gets a medal. Fact: Karan wins 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
  20. 20.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
  21. 21.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
  22. 22.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
  23. 23.Rule: If it is Sunday, then the school is closed. Fact: The school is not closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
  24. 24.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
  25. 25.Rule: If Nisha scores above 90, then Nisha gets a gold star. Fact: Nisha does not get a gold star. What can you say about “Nisha scores above 90”? (a) must be true (b) must be false (c) can't tell
  26. 26.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
  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 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 Rahul scores above 90, then Rahul gets a gold star. Fact: Rahul does not get a gold star. What can you say about “Rahul scores above 90”? (a) must be true (b) must be false (c) can't tell
  30. 30.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
  31. 31.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
  32. 32.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
  33. 33.Rule: If the shop is open, then Kavya buys milk. Fact: Kavya buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If Ananya wins the match, then Ananya gets a medal. Fact: Ananya wins the match. What can you say about “Ananya does not get a medal”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If Ira wins the match, then Ira gets a medal. Fact: Ira does not get a medal. What can you say about “Ira wins the match”? (a) must be true (b) must be false (c) can't tell
  36. 36.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
  37. 37.Rule: If the shop is open, then Sneha buys milk. Fact: The shop is open. What can you say about “Sneha buys milk”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If Ishaan wins the match, then Ishaan gets a medal. Fact: Ishaan does not get a medal. What can you say about “Ishaan does not win the match”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Dev scores above 90, then Dev gets a gold star. Fact: Dev scores above 90. What can you say about “Dev gets a gold star”? (a) must be true (b) must be false (c) can't tell
  40. 40.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

Answer key

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

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