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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 650 · 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 Saanvi scores above 90, then Saanvi gets a gold star. Fact: Saanvi gets a gold star. What can you say about “Saanvi does not score above 90”? (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 Karan finishes the homework, then Karan goes to the park. Fact: Karan finishes the homework. What can you say about “Karan does not go 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 rings”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If Rohan scores above 90, then Rohan gets a gold star. Fact: Rohan does not get a gold star. What can you say about “Rohan does not score above 90”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If Rohan scores above 90, then Rohan gets a gold star. Fact: Rohan does not get a gold star. What can you say about “Rohan scores above 90”? (a) must be true (b) must be false (c) can't tell
  7. 7.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
  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 Pooja wins the match, then Pooja gets a medal. Fact: Pooja wins the match. What can you say about “Pooja gets a medal”? (a) must be true (b) must be false (c) can't tell
  10. 10.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
  11. 11.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
  12. 12.Rule: If Siddharth scores above 90, then Siddharth gets a gold star. Fact: Siddharth scores above 90. What can you say about “Siddharth gets a gold star”? (a) must be true (b) must be false (c) can't tell
  13. 13.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
  14. 14.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
  15. 15.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
  16. 16.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar goes to the park. What can you say about “Omkar does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  17. 17.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
  18. 18.Rule: If Aarav wins the match, then Aarav gets a medal. Fact: Aarav does not win the match. What can you say about “Aarav gets a medal”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If Farhan wins the match, then Farhan gets a medal. Fact: Farhan does not get 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
  20. 20.Rule: If the shop is open, then Arjun buys milk. Fact: The shop is not open. What can you say about “Arjun does not buy milk”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If Riya finishes the homework, then Riya goes to the park. Fact: Riya does not finish the homework. What can you say about “Riya goes to the park”? (a) must be true (b) must be false (c) can't tell
  22. 22.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
  23. 23.Rule: If Saanvi scores above 90, then Saanvi gets a gold star. Fact: Saanvi does not get a gold star. What can you say about “Saanvi does not score above 90”? (a) must be true (b) must be false (c) can't tell
  24. 24.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
  25. 25.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 finishes the homework”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun does not finish the homework. What can you say about “Arjun goes to the park”? (a) must be true (b) must be false (c) can't tell
  27. 27.Rule: If the shop is open, then Manav buys milk. Fact: The shop is open. What can you say about “Manav does not buy milk”? (a) must be true (b) must be false (c) can't tell
  28. 28.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
  29. 29.Rule: If the shop is open, then Riya buys milk. Fact: The shop is open. What can you say about “Riya buys milk”? (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 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
  31. 31.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
  32. 32.Rule: If Siddharth wins the match, then Siddharth gets a medal. Fact: Siddharth does not win the match. What can you say about “Siddharth gets a medal”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If Vivaan wins the match, then Vivaan gets a medal. Fact: Vivaan does not win the match. What can you say about “Vivaan gets a medal”? (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 closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If Siddharth finishes the homework, then Siddharth goes to the park. Fact: Siddharth does not finish the homework. What can you say about “Siddharth does not go to the park”? (a) must be true (b) must be false (c) can't tell
  36. 36.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
  37. 37.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
  38. 38.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
  39. 39.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
  40. 40.Rule: If Ira wins the match, then Ira gets a medal. Fact: Ira does not win the match. What can you say about “Ira does not get a medal”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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