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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 279 · 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 Siddharth scores above 90, then Siddharth gets a gold star. Fact: Siddharth does not get a gold star. What can you say about “Siddharth scores above 90”? (a) must be true (b) must be false (c) can't tell
  2. 2.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
  3. 3.Rule: If Ananya finishes the homework, then Ananya goes to the park. Fact: Ananya does not finish the homework. What can you say about “Ananya goes to the park”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If Sneha wins the match, then Sneha gets a medal. Fact: Sneha wins the match. What can you say about “Sneha gets a medal”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If Karan scores above 90, then Karan gets a gold star. Fact: Karan does not get a gold star. What can you say about “Karan scores above 90”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If the shop is open, then Ananya buys milk. Fact: The shop is not open. What can you say about “Ananya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If Aditya wins the match, then Aditya gets a medal. Fact: Aditya does not get a medal. What can you say about “Aditya wins the match”? (a) must be true (b) must be false (c) can't tell
  8. 8.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
  9. 9.Rule: If Nisha wins the match, then Nisha gets a medal. Fact: Nisha wins the match. What can you say about “Nisha gets a medal”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If the shop is open, then Dev buys milk. Fact: Dev buys 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 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
  12. 12.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
  13. 13.Rule: If the shop is open, then Ananya buys milk. Fact: The shop is open. What can you say about “Ananya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  14. 14.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
  15. 15.Rule: If Dev wins the match, then Dev gets a medal. Fact: Dev does not get a medal. What can you say about “Dev does not win the match”? (a) must be true (b) must be false (c) can't tell
  16. 16.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
  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 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
  19. 19.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
  20. 20.Rule: If the shop is open, then Karan buys milk. Fact: The shop is not open. What can you say about “Karan buys milk”? (a) must be true (b) must be false (c) can't tell
  21. 21.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
  22. 22.Rule: If Vivaan finishes the homework, then Vivaan goes to the park. Fact: Vivaan finishes the homework. What can you say about “Vivaan does not go to the park”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If Nisha finishes the homework, then Nisha goes to the park. Fact: Nisha does not go to the park. What can you say about “Nisha does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If Ishaan scores above 90, then Ishaan gets a gold star. Fact: Ishaan does not get a gold star. What can you say about “Ishaan scores above 90”? (a) must be true (b) must be false (c) can't tell
  25. 25.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
  26. 26.Rule: If Siddharth scores above 90, then Siddharth gets a gold star. Fact: Siddharth does not score above 90. What can you say about “Siddharth gets a gold star”? (a) must be true (b) must be false (c) can't tell
  27. 27.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
  28. 28.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
  29. 29.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
  30. 30.Rule: If Farhan scores above 90, then Farhan gets a gold star. Fact: Farhan scores above 90. What can you say about “Farhan gets a gold star”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Yash scores above 90, then Yash gets a gold star. Fact: Yash scores above 90. What can you say about “Yash does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  32. 32.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
  33. 33.Rule: If Priya wins the match, then Priya gets a medal. Fact: Priya wins the match. What can you say about “Priya 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 starts. 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 bell does not ring. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Isha scores above 90, then Isha gets a gold star. Fact: Isha does not get a gold star. What can you say about “Isha does not score above 90”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If Tara wins the match, then Tara gets a medal. Fact: Tara does not get a medal. What can you say about “Tara wins the match”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If Saanvi finishes the homework, then Saanvi goes to the park. Fact: Saanvi goes to the park. What can you say about “Saanvi finishes the homework”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If the shop is open, then Farhan buys milk. Fact: Farhan 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
  40. 40.Rule: If Aisha wins the match, then Aisha gets a medal. Fact: Aisha gets a medal. What can you say about “Aisha does not win the match”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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