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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 204 · 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 shop is open, then Kavya buys milk. Fact: Kavya 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
  2. 2.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
  3. 3.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
  4. 4.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
  5. 5.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
  6. 6.Rule: If Riya finishes the homework, then Riya goes to the park. Fact: Riya goes to the park. What can you say about “Riya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  7. 7.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
  8. 8.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar finishes the homework. What can you say about “Omkar does not go to the park”? (a) must be true (b) must be false (c) can't tell
  9. 9.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
  10. 10.Rule: If Zoya wins the match, then Zoya gets a medal. Fact: Zoya does not win the match. What can you say about “Zoya does not get a medal”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If the shop is open, then Saanvi buys milk. Fact: Saanvi 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
  12. 12.Rule: If Ira wins the match, then Ira gets a medal. Fact: Ira wins the match. What can you say about “Ira does not get a medal”? (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 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
  14. 14.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
  15. 15.Rule: If it is Sunday, then the school is closed. Fact: The school is not closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
  16. 16.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
  17. 17.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
  18. 18.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
  19. 19.Rule: If Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun finishes 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
  20. 20.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
  21. 21.Rule: If Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya finishes the homework. What can you say about “Aditya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If Saanvi finishes the homework, then Saanvi goes to the park. Fact: Saanvi does not go to the park. What can you say about “Saanvi finishes the homework”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If Aisha finishes the homework, then Aisha goes to the park. Fact: Aisha does not finish 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
  24. 24.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
  25. 25.Rule: If Pooja scores above 90, then Pooja gets a gold star. Fact: Pooja gets a gold star. What can you say about “Pooja does not score above 90”? (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 bell does not ring. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
  27. 27.Rule: If Kavya wins the match, then Kavya gets a medal. Fact: Kavya wins the match. What can you say about “Kavya does not get a medal”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If the shop is open, then Aditya buys milk. Fact: The shop is not open. What can you say about “Aditya buys milk”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If Omkar scores above 90, then Omkar gets a gold star. Fact: Omkar does not score above 90. What can you say about “Omkar gets a gold star”? (a) must be true (b) must be false (c) can't tell
  30. 30.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 finishes the homework”? (a) must be true (b) must be false (c) can't tell
  31. 31.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
  32. 32.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
  33. 33.Rule: If Kabir wins the match, then Kabir gets a medal. Fact: Kabir does not win the match. What can you say about “Kabir gets a medal”? (a) must be true (b) must be false (c) can't tell
  34. 34.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
  35. 35.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
  36. 36.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
  37. 37.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
  38. 38.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
  39. 39.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
  40. 40.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

Answer key

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

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