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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 623 · 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 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
  2. 2.Rule: If Vivaan finishes the homework, then Vivaan goes to the park. Fact: Vivaan does not finish the homework. What can you say about “Vivaan goes to the park”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If Ishaan wins the match, then Ishaan gets a medal. Fact: Ishaan does not win the match. What can you say about “Ishaan does not get a medal”? (a) must be true (b) must be false (c) can't tell
  4. 4.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
  5. 5.Rule: If Karan finishes the homework, then Karan goes to the park. Fact: Karan does not finish the homework. What can you say about “Karan goes to the park”? (a) must be true (b) must be false (c) can't tell
  6. 6.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
  7. 7.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
  8. 8.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
  9. 9.Rule: If Tara scores above 90, then Tara gets a gold star. Fact: Tara gets 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
  10. 10.Rule: If Dev wins the match, then Dev gets a medal. Fact: Dev wins the match. What can you say about “Dev does not get a medal”? (a) must be true (b) must be false (c) can't tell
  11. 11.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
  12. 12.Rule: If Zoya finishes the homework, then Zoya goes to the park. Fact: Zoya finishes the homework. What can you say about “Zoya goes to the park”? (a) must be true (b) must be false (c) can't tell
  13. 13.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
  14. 14.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
  15. 15.Rule: If the shop is open, then Karan buys milk. Fact: The shop is open. What can you say about “Karan buys milk”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If Arjun wins the match, then Arjun gets a medal. Fact: Arjun does not get a medal. What can you say about “Arjun wins the match”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If Sneha scores above 90, then Sneha gets a gold star. Fact: Sneha does not score above 90. What can you say about “Sneha gets a gold star”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If Dev finishes the homework, then Dev goes to the park. Fact: Dev does not go to the park. What can you say about “Dev finishes the homework”? (a) must be true (b) must be false (c) can't tell
  19. 19.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
  20. 20.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
  21. 21.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
  22. 22.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
  23. 23.Rule: If Rahul scores above 90, then Rahul gets a gold star. Fact: Rahul does not score above 90. What can you say about “Rahul does not get a gold star”? (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 Sunday. What can you say about “The school is not closed”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Aditya scores above 90, then Aditya gets a gold star. Fact: Aditya gets a gold star. What can you say about “Aditya does not score above 90”? (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 Isha finishes the homework, then Isha goes to the park. Fact: Isha finishes the homework. What can you say about “Isha does not go to the park”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If Riya finishes the homework, then Riya goes to the park. Fact: Riya does not go to the park. What can you say about “Riya does not finish the homework”? (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 does not rain”? (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 bell rings. What can you say about “The class starts”? (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 the shop is open, then Aditya buys milk. Fact: Aditya buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If Pooja finishes the homework, then Pooja goes to the park. Fact: Pooja does not go to the park. What can you say about “Pooja does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If the shop is open, then Arjun buys milk. Fact: Arjun buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If the shop is open, then Aarav buys milk. Fact: Aarav 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
  36. 36.Rule: If Meera scores above 90, then Meera gets a gold star. Fact: Meera does not score above 90. What can you say about “Meera gets a gold star”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If the shop is open, then Meera buys milk. Fact: The shop is not open. What can you say about “Meera buys milk”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If Manav wins the match, then Manav gets a medal. Fact: Manav gets a medal. What can you say about “Manav wins the match”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Aisha wins the match, then Aisha gets a medal. Fact: Aisha does not win the match. What can you say about “Aisha gets a medal”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If the shop is open, then Aarav buys milk. Fact: Aarav buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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