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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 540 · 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 Aarav finishes the homework, then Aarav goes to the park. Fact: Aarav does not finish the homework. What can you say about “Aarav 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 Isha buys milk. Fact: Isha 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
  3. 3.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
  4. 4.Rule: If Riya wins the match, then Riya gets a medal. Fact: Riya does not win the match. What can you say about “Riya gets a medal”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If Neel wins the match, then Neel gets a medal. Fact: Neel gets a medal. What can you say about “Neel wins the match”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If the shop is open, then Aarav buys milk. Fact: The shop is not open. What can you say about “Aarav buys milk”? (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 class does not start. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If Aisha scores above 90, then Aisha gets a gold star. Fact: Aisha gets a gold star. What can you say about “Aisha scores above 90”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If Siddharth wins the match, then Siddharth gets a medal. Fact: Siddharth does not get a medal. What can you say about “Siddharth wins the match”? (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 stop”? (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 gets water. What can you say about “The plant stays green”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If the shop is open, then Ananya buys milk. Fact: The shop is open. What can you say about “Ananya buys milk”? (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 gets a medal. What can you say about “Ira wins the match”? (a) must be true (b) must be false (c) can't tell
  14. 14.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
  15. 15.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
  16. 16.Rule: If Vivaan wins the match, then Vivaan gets a medal. Fact: Vivaan does not get a medal. What can you say about “Vivaan wins the match”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If Tara scores above 90, then Tara gets a gold star. Fact: Tara does not score above 90. What can you say about “Tara gets a gold star”? (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 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
  19. 19.Rule: If Myra scores above 90, then Myra gets a gold star. Fact: Myra gets a gold star. What can you say about “Myra scores above 90”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If Zoya scores above 90, then Zoya gets a gold star. Fact: Zoya scores above 90. What can you say about “Zoya gets a gold star”? (a) must be true (b) must be false (c) can't tell
  21. 21.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
  22. 22.Rule: If Isha scores above 90, then Isha gets a gold star. Fact: Isha scores above 90. What can you say about “Isha does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  23. 23.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
  24. 24.Rule: If the shop is open, then Ira buys milk. Fact: Ira buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  25. 25.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
  26. 26.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
  27. 27.Rule: If Diya finishes the homework, then Diya goes to the park. Fact: Diya goes to the park. What can you say about “Diya finishes the homework”? (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 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
  29. 29.Rule: If the shop is open, then Kabir buys milk. Fact: The shop is not open. What can you say about “Kabir 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 bell rings. What can you say about “The class does not start”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar does not go to the park. What can you say about “Omkar finishes the homework”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If Pooja wins the match, then Pooja gets a medal. Fact: Pooja gets a medal. What can you say about “Pooja does not win the match”? (a) must be true (b) must be false (c) can't tell
  33. 33.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
  34. 34.Rule: If Rahul wins the match, then Rahul gets a medal. Fact: Rahul gets a medal. What can you say about “Rahul wins the match”? (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 Ira finishes the homework, then Ira goes to the park. Fact: Ira does not finish the homework. What can you say about “Ira goes to the park”? (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 rings. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If Siddharth wins the match, then Siddharth gets a medal. Fact: Siddharth wins the match. What can you say about “Siddharth gets a medal”? (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 class starts. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
  40. 40.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 finishes the homework”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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