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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 539 · 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 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
  2. 2.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
  3. 3.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
  4. 4.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
  5. 5.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
  6. 6.Rule: If the shop is open, then Aarav buys milk. Fact: The shop is open. What can you say about “Aarav does not buy milk”? (a) must be true (b) must be false (c) can't tell
  7. 7.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
  8. 8.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
  9. 9.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
  10. 10.Rule: If the shop is open, then Myra buys milk. Fact: Myra 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
  11. 11.Rule: If Aisha scores above 90, then Aisha gets a gold star. Fact: Aisha scores above 90. What can you say about “Aisha gets a gold star”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If Ira finishes the homework, then Ira goes to the park. Fact: Ira finishes the homework. What can you say about “Ira goes to the park”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If the shop is open, then Zoya buys milk. Fact: Zoya 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
  14. 14.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
  15. 15.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
  16. 16.Rule: If Siddharth finishes the homework, then Siddharth goes to the park. Fact: Siddharth does not finish the homework. What can you say about “Siddharth goes to the park”? (a) must be true (b) must be false (c) can't tell
  17. 17.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
  18. 18.Rule: If Neel wins the match, then Neel gets a medal. Fact: Neel does not get a medal. What can you say about “Neel does not win the match”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If the shop is open, then Dev buys milk. Fact: Dev 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
  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 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
  22. 22.Rule: If Kabir wins the match, then Kabir gets a medal. Fact: Kabir does not get a medal. What can you say about “Kabir wins the match”? (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 does not get water”? (a) must be true (b) must be false (c) can't tell
  24. 24.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
  25. 25.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
  26. 26.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
  27. 27.Rule: If Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun does not go to the park. What can you say about “Arjun does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If the shop is open, then Dev buys milk. Fact: The shop is not open. What can you say about “Dev does not buy milk”? (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 gets 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 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
  31. 31.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
  32. 32.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
  33. 33.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
  34. 34.Rule: If Aisha finishes the homework, then Aisha goes to the park. Fact: Aisha finishes the homework. What can you say about “Aisha does not go to the park”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.Rule: If Aisha finishes the homework, then Aisha goes to the park. Fact: Aisha does not go to the park. What can you say about “Aisha does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If the shop is open, then Arjun buys milk. Fact: The shop is not open. What can you say about “Arjun does not buy milk”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If the shop is open, then Aisha buys milk. Fact: The shop is open. What can you say about “Aisha does not buy milk”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Karan finishes the homework, then Karan goes to the park. Fact: Karan does not go 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
  40. 40.Rule: If Myra scores above 90, then Myra gets a gold star. Fact: Myra does not score above 90. What can you say about “Myra gets a gold star”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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