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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 384 · 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 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
  2. 2.Rule: If the shop is open, then Zoya buys milk. Fact: Zoya buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If the shop is open, then Farhan buys milk. Fact: The shop is open. What can you say about “Farhan does not buy milk”? (a) must be true (b) must be false (c) can't tell
  4. 4.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
  5. 5.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
  6. 6.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
  7. 7.Rule: If Myra finishes the homework, then Myra goes to the park. Fact: Myra goes to the park. What can you say about “Myra finishes the homework”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If the shop is open, then Ira buys milk. Fact: Ira buys milk. What can you say about “The shop is not open”? (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 Aarav finishes the homework, then Aarav goes to the park. Fact: Aarav goes 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
  11. 11.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
  12. 12.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
  13. 13.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
  14. 14.Rule: If Isha scores above 90, then Isha gets a gold star. Fact: Isha scores above 90. What can you say about “Isha gets a gold star”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If Dev scores above 90, then Dev gets a gold star. Fact: Dev gets a gold star. What can you say about “Dev does not score above 90”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If Pooja wins the match, then Pooja gets a medal. Fact: Pooja does not win the match. What can you say about “Pooja does not get a medal”? (a) must be true (b) must be false (c) can't tell
  17. 17.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
  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 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
  20. 20.Rule: If Isha finishes the homework, then Isha goes to the park. Fact: Isha does not go to the park. What can you say about “Isha does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If the shop is open, then Farhan buys milk. Fact: The shop is open. What can you say about “Farhan buys milk”? (a) must be true (b) must be false (c) can't tell
  22. 22.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
  23. 23.Rule: If the shop is open, then Meera buys milk. Fact: The shop is not open. What can you say about “Meera does not buy milk”? (a) must be true (b) must be false (c) can't tell
  24. 24.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
  25. 25.Rule: If Priya wins the match, then Priya gets a medal. Fact: Priya does not get 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
  26. 26.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
  27. 27.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
  28. 28.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
  29. 29.Rule: If the shop is open, then Yash buys milk. Fact: Yash buys milk. What can you say about “The shop is open”? (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 class starts. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya does not finish 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
  32. 32.Rule: If Ananya finishes the homework, then Ananya goes to the park. Fact: Ananya goes to the park. What can you say about “Ananya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If Farhan wins the match, then Farhan gets a medal. Fact: Farhan gets a medal. What can you say about “Farhan does not win the match”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If the shop is open, then Rohan buys milk. Fact: Rohan 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
  35. 35.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 goes to the park”? (a) must be true (b) must be false (c) can't tell
  36. 36.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
  37. 37.Rule: If Rahul finishes the homework, then Rahul goes to the park. Fact: Rahul goes to the park. What can you say about “Rahul does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  38. 38.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
  39. 39.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
  40. 40.Rule: If Rohan wins the match, then Rohan gets a medal. Fact: Rohan does not win the match. What can you say about “Rohan does not get a medal”? (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 false
  4. can't tell
  5. must be true
  6. can't tell
  7. can't tell
  8. can't tell
  9. must be false
  10. can't tell
  11. can't tell
  12. must be true
  13. must be true
  14. must be true
  15. can't tell
  16. can't tell
  17. must be false
  18. must be true
  19. can't tell
  20. must be true
  21. must be true
  22. must be true
  23. can't tell
  24. can't tell
  25. must be true
  26. can't tell
  27. can't tell
  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. must be false
  35. can't tell
  36. must be false
  37. can't tell
  38. must be false
  39. must be false
  40. can't tell

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