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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 282 · 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 Ishaan wins the match, then Ishaan gets a medal. Fact: Ishaan does not get a medal. What can you say about “Ishaan wins the match”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is not red. What can you say about “The cars stop”? (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 finishes 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 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
  5. 5.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
  6. 6.Rule: If Dev scores above 90, then Dev gets a gold star. Fact: Dev does not score above 90. What can you say about “Dev does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  7. 7.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
  8. 8.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
  9. 9.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
  10. 10.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
  11. 11.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
  12. 12.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
  13. 13.Rule: If Ira wins the match, then Ira gets a medal. Fact: Ira does not win the match. What can you say about “Ira gets a medal”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If Priya finishes the homework, then Priya goes to the park. Fact: Priya does not finish the homework. What can you say about “Priya goes to the park”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If Tara wins the match, then Tara gets a medal. Fact: Tara gets a medal. What can you say about “Tara wins the match”? (a) must be true (b) must be false (c) can't tell
  16. 16.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
  17. 17.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
  18. 18.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
  19. 19.Rule: If Meera scores above 90, then Meera gets a gold star. Fact: Meera does not get a gold star. What can you say about “Meera scores above 90”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If Yash scores above 90, then Yash gets a gold star. Fact: Yash scores above 90. What can you say about “Yash gets a gold star”? (a) must be true (b) must be false (c) can't tell
  21. 21.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
  22. 22.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
  23. 23.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
  24. 24.Rule: If Pooja wins the match, then Pooja gets a medal. Fact: Pooja wins 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
  25. 25.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
  26. 26.Rule: If the shop is open, then Rohan buys milk. Fact: The shop is not open. What can you say about “Rohan buys milk”? (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: 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
  28. 28.Rule: If the shop is open, then Manav buys milk. Fact: The shop is open. What can you say about “Manav buys milk”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If Diya wins the match, then Diya gets a medal. Fact: Diya wins the match. What can you say about “Diya does not get a medal”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If the shop is open, then Riya buys milk. Fact: Riya buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Isha wins the match, then Isha gets a medal. Fact: Isha does not win the match. What can you say about “Isha does not get a medal”? (a) must be true (b) must be false (c) can't tell
  32. 32.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
  33. 33.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
  34. 34.Rule: If Karan scores above 90, then Karan gets a gold star. Fact: Karan scores above 90. What can you say about “Karan gets a gold star”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.Rule: If Arjun wins the match, then Arjun gets a medal. Fact: Arjun does not get a medal. What can you say about “Arjun wins the match”? (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 bell does not ring. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar finishes the homework. What can you say about “Omkar does not go to the park”? (a) must be true (b) must be false (c) can't tell
  39. 39.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
  40. 40.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

Answer key

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

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