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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 494 · 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 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
  2. 2.Rule: If Dev wins the match, then Dev gets a medal. Fact: Dev does not get a medal. What can you say about “Dev does not win the match”? (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: It is Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If Riya finishes the homework, then Riya goes to the park. Fact: Riya finishes the homework. What can you say about “Riya goes to the park”? (a) must be true (b) must be false (c) can't tell
  5. 5.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
  6. 6.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
  7. 7.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
  8. 8.Rule: If Ananya finishes the homework, then Ananya goes to the park. Fact: Ananya finishes the homework. What can you say about “Ananya goes to the park”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If Meera scores above 90, then Meera gets a gold star. Fact: Meera gets a gold star. What can you say about “Meera scores above 90”? (a) must be true (b) must be false (c) can't tell
  10. 10.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
  11. 11.Rule: If the shop is open, then Aisha buys milk. Fact: Aisha buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If Zoya finishes the homework, then Zoya goes to the park. Fact: Zoya does not go to the park. What can you say about “Zoya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  13. 13.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
  14. 14.Rule: If Diya finishes the homework, then Diya goes to the park. Fact: Diya does not finish the homework. What can you say about “Diya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  15. 15.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
  16. 16.Rule: If Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun does not finish the homework. What can you say about “Arjun does not go to the park”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If the shop is open, then Rohan buys milk. Fact: Rohan 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
  18. 18.Rule: If the shop is open, then Ananya buys milk. Fact: The shop is open. What can you say about “Ananya does not buy milk”? (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 not red”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If Aarav finishes the homework, then Aarav goes to the park. Fact: Aarav does not finish the homework. What can you say about “Aarav does not go to the park”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If Priya finishes the homework, then Priya goes to the park. Fact: Priya does not finish the homework. What can you say about “Priya goes to the park”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If Farhan finishes the homework, then Farhan goes to the park. Fact: Farhan goes to the park. What can you say about “Farhan does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If Ananya wins the match, then Ananya gets a medal. Fact: Ananya wins the match. What can you say about “Ananya gets a medal”? (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: 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
  25. 25.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
  26. 26.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
  27. 27.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
  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 closed”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If Ira finishes the homework, then Ira goes to the park. Fact: Ira does not go to the park. What can you say about “Ira does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If Myra finishes the homework, then Myra goes to the park. Fact: Myra does not go to the park. What can you say about “Myra does not finish the homework”? (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 class does not start. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  32. 32.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
  33. 33.Rule: If the shop is open, then Tara buys milk. Fact: The shop is open. What can you say about “Tara buys milk”? (a) must be true (b) must be false (c) can't tell
  34. 34.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
  35. 35.Rule: If Farhan wins the match, then Farhan gets a medal. Fact: Farhan does not win the match. What can you say about “Farhan does not get a medal”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Ishaan wins the match, then Ishaan gets a medal. Fact: Ishaan wins the match. What can you say about “Ishaan gets a medal”? (a) must be true (b) must be false (c) can't tell
  37. 37.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
  38. 38.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
  39. 39.Rule: If Meera wins the match, then Meera gets a medal. Fact: Meera gets a medal. What can you say about “Meera does not win the match”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If Dev finishes the homework, then Dev goes to the park. Fact: Dev does not finish the homework. What can you say about “Dev does not go to the park”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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