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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 206 · 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 Ira finishes the homework, then Ira goes to the park. Fact: Ira does not finish the homework. What can you say about “Ira goes to the park”? (a) must be true (b) must be false (c) can't tell
  2. 2.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
  3. 3.Rule: If the traffic light is red, then the cars stop. Fact: The cars stop. What can you say about “The traffic light is red”? (a) must be true (b) must be false (c) can't tell
  4. 4.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 goes to the park”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If Arjun scores above 90, then Arjun gets a gold star. Fact: Arjun does not get a gold star. What can you say about “Arjun scores above 90”? (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 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
  7. 7.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
  8. 8.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
  9. 9.Rule: If Kabir scores above 90, then Kabir gets a gold star. Fact: Kabir does not get a gold star. What can you say about “Kabir does not score above 90”? (a) must be true (b) must be false (c) can't tell
  10. 10.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
  11. 11.Rule: If Manav finishes the homework, then Manav goes to the park. Fact: Manav does not finish the homework. What can you say about “Manav goes to the park”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If the shop is open, then Ishaan buys milk. Fact: The shop is open. What can you say about “Ishaan buys milk”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If the shop is open, then Sneha buys milk. Fact: The shop is not open. What can you say about “Sneha buys milk”? (a) must be true (b) must be false (c) can't tell
  14. 14.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
  15. 15.Rule: If the shop is open, then Yash buys milk. Fact: The shop is open. What can you say about “Yash buys milk”? (a) must be true (b) must be false (c) can't tell
  16. 16.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
  17. 17.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
  18. 18.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
  19. 19.Rule: If Ananya finishes the homework, then Ananya goes to the park. Fact: Ananya does not go to the park. What can you say about “Ananya does not finish the homework”? (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 starts. What can you say about “The bell rings”? (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 Sunday”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If Karan scores above 90, then Karan gets a gold star. Fact: Karan does not score above 90. What can you say about “Karan does not get a gold star”? (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: It is Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If the shop is open, then Ira buys milk. Fact: The shop is not open. What can you say about “Ira buys milk”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Neel wins the match, then Neel gets a medal. Fact: Neel gets a medal. What can you say about “Neel wins the match”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If Dev scores above 90, then Dev gets a gold star. Fact: Dev does not get a gold star. What can you say about “Dev scores above 90”? (a) must be true (b) must be false (c) can't tell
  27. 27.Rule: If Tara wins the match, then Tara gets a medal. Fact: Tara wins the match. What can you say about “Tara does not get a medal”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If Kabir wins the match, then Kabir gets a medal. Fact: Kabir wins the match. What can you say about “Kabir gets a medal”? (a) must be true (b) must be false (c) can't tell
  29. 29.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
  30. 30.Rule: If Ira wins the match, then Ira gets a medal. Fact: Ira gets a medal. What can you say about “Ira does not win the match”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Meera wins the match, then Meera gets a medal. Fact: Meera gets a medal. What can you say about “Meera wins the match”? (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: 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
  33. 33.Rule: If the shop is open, then Pooja buys milk. Fact: The shop is not open. What can you say about “Pooja buys milk”? (a) must be true (b) must be false (c) can't tell
  34. 34.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
  35. 35.Rule: If Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun finishes the homework. What can you say about “Arjun goes to the park”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Kabir finishes the homework, then Kabir goes to the park. Fact: Kabir does not finish the homework. What can you say about “Kabir does not go to the park”? (a) must be true (b) must be false (c) can't tell
  37. 37.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 stays green”? (a) must be true (b) must be false (c) can't tell
  38. 38.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
  39. 39.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
  40. 40.Rule: If Riya finishes the homework, then Riya goes to the park. Fact: Riya finishes the homework. What can you say about “Riya 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 false
  3. can't tell
  4. can't tell
  5. must be false
  6. can't tell
  7. can't tell
  8. must be false
  9. must be true
  10. must be false
  11. can't tell
  12. must be true
  13. can't tell
  14. can't tell
  15. must be true
  16. can't tell
  17. can't tell
  18. must be true
  19. must be true
  20. can't tell
  21. can't tell
  22. can't tell
  23. must be true
  24. can't tell
  25. can't tell
  26. must be false
  27. must be false
  28. must be true
  29. must be false
  30. can't tell
  31. can't tell
  32. can't tell
  33. can't tell
  34. must be false
  35. must be true
  36. can't tell
  37. can't tell
  38. must be false
  39. must be true
  40. must be false

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