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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 225 · 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 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
  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 wins the match”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If Aarav scores above 90, then Aarav gets a gold star. Fact: Aarav does not get a gold star. What can you say about “Aarav scores above 90”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If the shop is open, then Kabir buys milk. Fact: Kabir 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
  5. 5.Rule: If Isha scores above 90, then Isha gets a gold star. Fact: Isha does not score above 90. What can you say about “Isha gets a gold star”? (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 does not start. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  7. 7.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
  8. 8.Rule: If Omkar scores above 90, then Omkar gets a gold star. Fact: Omkar scores above 90. What can you say about “Omkar gets a gold star”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If it is Sunday, then the school is closed. Fact: The school is not closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If Aisha finishes the homework, then Aisha goes to the park. Fact: Aisha does not go to the park. What can you say about “Aisha does not finish the homework”? (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: The shop is open. What can you say about “Aisha buys milk”? (a) must be true (b) must be false (c) can't tell
  12. 12.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
  13. 13.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
  14. 14.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
  15. 15.Rule: If the shop is open, then Yash buys milk. Fact: Yash buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If Riya wins the match, then Riya gets a medal. Fact: Riya does not win the match. What can you say about “Riya does not get a medal”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If Myra finishes the homework, then Myra goes to the park. Fact: Myra finishes the homework. What can you say about “Myra goes to the park”? (a) must be true (b) must be false (c) can't tell
  18. 18.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
  19. 19.Rule: If the bell rings, then the class starts. Fact: The class starts. What can you say about “The bell does not ring”? (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 traffic light is red. What can you say about “The cars do not stop”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If Yash finishes the homework, then Yash goes to the park. Fact: Yash does not go to the park. What can you say about “Yash finishes the homework”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If Nisha finishes the homework, then Nisha goes to the park. Fact: Nisha does not finish the homework. What can you say about “Nisha goes to the park”? (a) must be true (b) must be false (c) can't tell
  23. 23.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
  24. 24.Rule: If Manav finishes the homework, then Manav goes to the park. Fact: Manav goes to the park. What can you say about “Manav finishes the homework”? (a) must be true (b) must be false (c) can't tell
  25. 25.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
  26. 26.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
  27. 27.Rule: If the shop is open, then Zoya buys milk. Fact: The shop is not open. What can you say about “Zoya does not buy milk”? (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 not closed”? (a) must be true (b) must be false (c) can't tell
  29. 29.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
  30. 30.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
  31. 31.Rule: If the shop is open, then Farhan buys milk. Fact: The shop is not open. What can you say about “Farhan does not buy milk”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If the shop is open, then Pooja buys milk. Fact: The shop is not open. What can you say about “Pooja does not buy milk”? (a) must be true (b) must be false (c) can't tell
  33. 33.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 goes to the park”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If the shop is open, then Diya buys milk. Fact: The shop is open. What can you say about “Diya buys milk”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.Rule: If Neel finishes the homework, then Neel goes to the park. Fact: Neel does not finish the homework. What can you say about “Neel does not go to the park”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If Manav scores above 90, then Manav gets a gold star. Fact: Manav gets a gold star. What can you say about “Manav does not score above 90”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If Dev scores above 90, then Dev gets a gold star. Fact: Dev scores above 90. What can you say about “Dev gets a gold star”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If the shop is open, then Ira buys milk. Fact: Ira 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
  40. 40.Rule: If Nisha wins the match, then Nisha gets a medal. Fact: Nisha gets a medal. What can you say about “Nisha wins the match”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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