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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 535 · 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 Aarav buys milk. Fact: The shop is open. What can you say about “Aarav does not buy milk”? (a) must be true (b) must be false (c) can't tell
  2. 2.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
  3. 3.Rule: If Ishaan finishes the homework, then Ishaan goes to the park. Fact: Ishaan does not finish the homework. What can you say about “Ishaan goes to the park”? (a) must be true (b) must be false (c) can't tell
  4. 4.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
  5. 5.Rule: If the bell rings, then the class starts. Fact: The bell does not ring. What can you say about “The class does not start”? (a) must be true (b) must be false (c) can't tell
  6. 6.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
  7. 7.Rule: If the shop is open, then Saanvi buys milk. Fact: The shop is open. What can you say about “Saanvi buys milk”? (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 not Sunday. What can you say about “The school is closed”? (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 does not ring. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If the shop is open, then Riya buys milk. Fact: Riya 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
  11. 11.Rule: If the shop is open, then Pooja buys milk. Fact: Pooja 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
  12. 12.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
  13. 13.Rule: If Tara finishes the homework, then Tara goes to the park. Fact: Tara does not finish the homework. What can you say about “Tara goes to the park”? (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 closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If the shop is open, then Kavya buys milk. Fact: The shop is not open. What can you say about “Kavya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  16. 16.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
  17. 17.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
  18. 18.Rule: If Aarav finishes the homework, then Aarav goes to the park. Fact: Aarav finishes the homework. What can you say about “Aarav goes to the park”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya goes to the park. What can you say about “Aditya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If Ira scores above 90, then Ira gets a gold star. Fact: Ira does not get a gold star. What can you say about “Ira scores above 90”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If Ira wins the match, then Ira gets a medal. Fact: Ira does not get a medal. What can you say about “Ira wins the match”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If the shop is open, then Diya buys milk. Fact: The shop is open. What can you say about “Diya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If the shop is open, then Tara buys milk. Fact: The shop is open. What can you say about “Tara does not buy milk”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If the shop is open, then Karan buys milk. Fact: The shop is open. What can you say about “Karan buys milk”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Kavya scores above 90, then Kavya gets a gold star. Fact: Kavya does not score above 90. What can you say about “Kavya does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If Farhan scores above 90, then Farhan gets a gold star. Fact: Farhan gets a gold star. What can you say about “Farhan does not score above 90”? (a) must be true (b) must be false (c) can't tell
  27. 27.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
  28. 28.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
  29. 29.Rule: If the shop is open, then Rahul buys milk. Fact: The shop is open. What can you say about “Rahul does not buy milk”? (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 Dev finishes the homework, then Dev goes to the park. Fact: Dev finishes the homework. What can you say about “Dev does not go to the park”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If the shop is open, then Karan buys milk. Fact: Karan 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
  33. 33.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
  34. 34.Rule: If Pooja scores above 90, then Pooja gets a gold star. Fact: Pooja gets a gold star. What can you say about “Pooja scores above 90”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.Rule: If Siddharth wins the match, then Siddharth gets a medal. Fact: Siddharth does not get a medal. What can you say about “Siddharth does not win the match”? (a) must be true (b) must be false (c) can't tell
  37. 37.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
  38. 38.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
  39. 39.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
  40. 40.Rule: If Rahul finishes the homework, then Rahul goes to the park. Fact: Rahul finishes the homework. What can you say about “Rahul does not go to the park”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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