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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 705 · 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 Sneha finishes the homework, then Sneha goes to the park. Fact: Sneha finishes the homework. What can you say about “Sneha 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 Pooja buys milk. Fact: Pooja buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If Diya wins the match, then Diya gets a medal. Fact: Diya does not win the match. What can you say about “Diya gets a medal”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If Aisha scores above 90, then Aisha gets a gold star. Fact: Aisha scores above 90. What can you say about “Aisha does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If it rains, then the road gets wet. Fact: It does not rain. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If Diya scores above 90, then Diya gets a gold star. Fact: Diya scores above 90. What can you say about “Diya does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  7. 7.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
  8. 8.Rule: If Rohan scores above 90, then Rohan gets a gold star. Fact: Rohan does not score above 90. What can you say about “Rohan gets a gold star”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar goes to the park. What can you say about “Omkar finishes the homework”? (a) must be true (b) must be false (c) can't tell
  10. 10.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
  11. 11.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
  12. 12.Rule: If it rains, then the road gets wet. Fact: The road does not get wet. What can you say about “It does not rain”? (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 Ananya wins the match, then Ananya gets a medal. Fact: Ananya wins the match. What can you say about “Ananya gets a medal”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If the shop is open, then Meera buys milk. Fact: Meera buys milk. What can you say about “The shop is open”? (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: 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
  17. 17.Rule: If Sneha scores above 90, then Sneha gets a gold star. Fact: Sneha does not score above 90. What can you say about “Sneha does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If Ishaan finishes the homework, then Ishaan goes to the park. Fact: Ishaan finishes the homework. What can you say about “Ishaan does not go to the park”? (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: The school is closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
  20. 20.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
  21. 21.Rule: If Saanvi scores above 90, then Saanvi gets a gold star. Fact: Saanvi scores above 90. What can you say about “Saanvi does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  22. 22.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
  23. 23.Rule: If Manav scores above 90, then Manav gets a gold star. Fact: Manav does not get 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
  24. 24.Rule: If the shop is open, then Dev buys milk. Fact: The shop is not open. What can you say about “Dev does not buy milk”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Dev finishes the homework, then Dev goes to the park. Fact: Dev does not finish the homework. What can you say about “Dev goes to the park”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If Pooja finishes the homework, then Pooja goes to the park. Fact: Pooja finishes the homework. What can you say about “Pooja goes to the park”? (a) must be true (b) must be false (c) can't tell
  27. 27.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 stays green”? (a) must be true (b) must be false (c) can't tell
  28. 28.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
  29. 29.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
  30. 30.Rule: If Manav wins the match, then Manav gets a medal. Fact: Manav does not get a medal. What can you say about “Manav does not win the match”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If the shop is open, then Isha buys milk. Fact: Isha buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  32. 32.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
  33. 33.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
  34. 34.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
  35. 35.Rule: If Yash wins the match, then Yash gets a medal. Fact: Yash gets a medal. What can you say about “Yash does not win the match”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Karan finishes the homework, then Karan goes to the park. Fact: Karan does not go to the park. What can you say about “Karan finishes the homework”? (a) must be true (b) must be false (c) can't tell
  37. 37.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
  38. 38.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
  39. 39.Rule: If Siddharth wins the match, then Siddharth gets a medal. Fact: Siddharth does not win the match. What can you say about “Siddharth does not get a medal”? (a) must be true (b) must be false (c) can't tell
  40. 40.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

Answer key

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

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