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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 587 · 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.

NameDateTime takenScore ___ / 40
  1. 1.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
  2. 2.Rule: If Meera finishes the homework, then Meera goes to the park. Fact: Meera goes 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
  3. 3.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
  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 do not stop”? (a) must be true (b) must be false (c) can't tell
  5. 5.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
  6. 6.Rule: If Farhan finishes the homework, then Farhan goes to the park. Fact: Farhan does not finish the homework. What can you say about “Farhan does not go to the park”? (a) must be true (b) must be false (c) can't tell
  7. 7.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
  8. 8.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
  9. 9.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar does not go to the park. What can you say about “Omkar does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If Nisha wins the match, then Nisha gets a medal. Fact: Nisha does not win the match. What can you say about “Nisha does not get a medal”? (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 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
  12. 12.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
  13. 13.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
  14. 14.Rule: If Ishaan finishes the homework, then Ishaan goes to the park. Fact: Ishaan does not finish the homework. What can you say about “Ishaan does not go to the park”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If Omkar scores above 90, then Omkar gets a gold star. Fact: Omkar does not get a gold star. What can you say about “Omkar does not score above 90”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If Ananya wins the match, then Ananya gets a medal. Fact: Ananya does not win 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
  17. 17.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
  18. 18.Rule: If Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun goes 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
  19. 19.Rule: If the shop is open, then Vivaan buys milk. Fact: The shop is open. What can you say about “Vivaan buys milk”? (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 class does not start. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
  21. 21.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
  22. 22.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
  23. 23.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
  24. 24.Rule: If the shop is open, then Vivaan buys milk. Fact: The shop is open. What can you say about “Vivaan does not buy milk”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Ira wins the match, then Ira gets a medal. Fact: Ira wins the match. What can you say about “Ira gets a medal”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If Myra wins the match, then Myra gets a medal. Fact: Myra does not win the match. What can you say about “Myra does not get a medal”? (a) must be true (b) must be false (c) can't tell
  27. 27.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
  28. 28.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
  29. 29.Rule: If Vivaan finishes the homework, then Vivaan goes to the park. Fact: Vivaan finishes the homework. What can you say about “Vivaan goes to the park”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If Manav wins the match, then Manav gets a medal. Fact: Manav gets a medal. What can you say about “Manav does not win the match”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If the shop is open, then Arjun buys milk. Fact: The shop is open. What can you say about “Arjun buys milk”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If the shop is open, then Arjun buys milk. Fact: Arjun 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
  33. 33.Rule: If Ishaan finishes the homework, then Ishaan goes to the park. Fact: Ishaan goes to the park. What can you say about “Ishaan finishes the homework”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If the shop is open, then Ira buys milk. Fact: The shop is open. What can you say about “Ira does not buy milk”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If Kavya wins the match, then Kavya gets a medal. Fact: Kavya does not get a medal. What can you say about “Kavya does not win the match”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Karan scores above 90, then Karan gets a gold star. Fact: Karan scores above 90. What can you say about “Karan gets a gold star”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If Karan finishes the homework, then Karan goes to the park. Fact: Karan finishes the homework. What can you say about “Karan does not go to the park”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If Priya wins the match, then Priya gets a medal. Fact: Priya does not win the match. What can you say about “Priya does not get a medal”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Kavya scores above 90, then Kavya gets a gold star. Fact: Kavya does not get a gold star. What can you say about “Kavya scores above 90”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If the shop is open, then Rahul buys milk. Fact: The shop is not open. What can you say about “Rahul does not buy milk”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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