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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 532 · 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 Aarav finishes the homework, then Aarav goes to the park. Fact: Aarav does not go to the park. What can you say about “Aarav does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  2. 2.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
  3. 3.Rule: If Riya wins the match, then Riya gets a medal. Fact: Riya does not get a medal. What can you say about “Riya does not win the match”? (a) must be true (b) must be false (c) can't tell
  4. 4.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
  5. 5.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
  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 Diya finishes the homework, then Diya goes to the park. Fact: Diya does not finish the homework. What can you say about “Diya goes to the park”? (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: 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
  9. 9.Rule: If Myra scores above 90, then Myra gets a gold star. Fact: Myra gets a gold star. What can you say about “Myra does not score above 90”? (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 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
  12. 12.Rule: If Kabir finishes the homework, then Kabir goes to the park. Fact: Kabir does not go to the park. What can you say about “Kabir finishes the homework”? (a) must be true (b) must be false (c) can't tell
  13. 13.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
  14. 14.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
  15. 15.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
  16. 16.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
  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 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
  19. 19.Rule: If the shop is open, then Isha buys milk. Fact: The shop is open. What can you say about “Isha does not buy milk”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If Zoya scores above 90, then Zoya gets a gold star. Fact: Zoya scores above 90. What can you say about “Zoya does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  21. 21.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
  22. 22.Rule: If Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya finishes the homework. What can you say about “Aditya goes to the park”? (a) must be true (b) must be false (c) can't tell
  23. 23.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
  24. 24.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
  25. 25.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
  26. 26.Rule: If Omkar wins the match, then Omkar gets a medal. Fact: Omkar gets a medal. What can you say about “Omkar does not win the match”? (a) must be true (b) must be false (c) can't tell
  27. 27.Rule: If the shop is open, then Ishaan buys milk. Fact: Ishaan 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
  28. 28.Rule: If Aarav scores above 90, then Aarav gets a gold star. Fact: Aarav scores above 90. What can you say about “Aarav does not get a gold star”? (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 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 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 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
  32. 32.Rule: If the shop is open, then Aarav buys milk. Fact: The shop is not open. What can you say about “Aarav buys milk”? (a) must be true (b) must be false (c) can't tell
  33. 33.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
  34. 34.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
  35. 35.Rule: If the shop is open, then Saanvi buys milk. Fact: The shop is open. What can you say about “Saanvi does not buy milk”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Priya wins the match, then Priya gets a medal. Fact: Priya gets a medal. What can you say about “Priya does not win the match”? (a) must be true (b) must be false (c) can't tell
  37. 37.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 does not go to the park”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If Karan finishes the homework, then Karan goes to the park. Fact: Karan finishes the homework. What can you say about “Karan goes to the park”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Nisha finishes the homework, then Nisha goes to the park. Fact: Nisha finishes the homework. What can you say about “Nisha goes to the park”? (a) must be true (b) must be false (c) can't tell
  40. 40.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 does not get water”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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